diff --git "a/data/dm_maths/full_data/10702_11255.jsonl" "b/data/dm_maths/full_data/10702_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10702_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Are 7 and 29\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2170\/517 or 3?\nAnswer: 2170\/517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3722\/3 <= 0.0327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 103*z**2 + 604*z + 16. What is q(-8)?\nAnswer: 1776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10.13 bigger than 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**3\/3 - 467*o**2 + 85367*o\/3 + 89579 = 0 for o.\nAnswer: -3, 67, 1337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.31 - 5.11. Let a = -91.5 + 91.5. Sort 5, w, 4, a in decreasing order.\nAnswer: 5, 4, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1))**(-4\/21)*(z*z**(1\/4))\/z*z**1*((z**(-2)*z)\/(z\/(z\/(z\/(z\/(z\/(z\/z**(-3)))*z)))))**(-2\/37) assuming z is positive.\nAnswer: z**(2197\/3108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5759418 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u - 7*u - 16*u + u to a + k*u and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwdw. What is prob of picking 2 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3 - 9. Suppose c - 4*c + q = 0. What is the second derivative of c*n - 5 + 3*n**4 + 5 wrt n?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*p**4*x - 4*p**4 - 5*p**3*x + 2*p**3 - 125*p**2*x - 2*p*x + 2*p wrt p?\nAnswer: -168*p*x - 96*p - 30*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -1999015?\nAnswer: 1999015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*f + 322*f = -2580 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njjjnjnjnnjjn. Give prob of picking 2 n.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Suppose -25 = -4*q - c, -12 - 17 = -2*q + 5*c. Let l(g) = -3*g**3 + 3*g**3 - 5*g - 4*g**3 + q*g + 7*g**3. Determine l(y) + 4*x(y).\nAnswer: 3*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 = 4*j - 2*y, 5*j - y - 335 = -3*y. Suppose -3*z = -152 - 211. Let d = -85 + z. What is the remainder when j is divided by d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m - 17*m + 2 - 20*m + 134*m - 20*m - 57*m.\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 - -77. Suppose 0 = -x - 3*j + 132, -2*j + 5*j - 384 = -f*x. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 5. Let i = m - 0. What is the nearest to -1 in i, -0.3, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**3 - 18*p**2 + 27*p - 12 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(7)*-1) + 2 + (sqrt(17) - sqrt(119)\/sqrt(7))**2 - ((sqrt(2499) + -1*sqrt(2499))\/(sqrt(3) + (sqrt(3) - (sqrt(3) - sqrt(48)))*2))**2.\nAnswer: -sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1597.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29385 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 - 3 = 16*s. Let t be (-1 - 0)*(-5)\/(s\/(-7)). Suppose -y - 4*d + 1 = 11, y - 5*d = 17. Solve y*m + 1 = t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 5*l + 4. Let i be c(-6). Suppose 3*y - i = 14. Calculate the highest common divisor of 40 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-12))\/(1\/60). Suppose o - j - z = 0, 142 = 4*o + o + 3*j. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353887546.\nAnswer: 2, 59, 2999047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 233*p**3 + 10*p**2 + 8*p. Let y be b(8). What is y rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 559628.9 centuries to millennia.\nAnswer: 55962.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 divided by -8?\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3288*((27 - 23) + 5\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1633*l = -793*l - 801*l - 702 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220909 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.4 (b) -225 (c) -1 (d) -0.4 (e) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + ((sqrt(2736)*3*-1 + sqrt(2736))**2 + 1 - (4 + ((sqrt(2736)*2)**2 - sqrt(2736)) + 3)).\nAnswer: -1 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000063805371 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgk when three letters picked without replacement from kgzzbqz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6.63?\nAnswer: 6.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2. Let t(m) = -2*m**2 - 1. Suppose -27*x = -12*x - 120. Calculate x*s(h) - 3*t(h).\nAnswer: -2*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 0, 7*v - 10*v = -3*z - 750. Let i = v - 108. What are the prime factors of i?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82*c + 865 wrt c.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1328 or 0?\nAnswer: -1\/1328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1) + -3 + 6. Solve 0 = -i*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 0 + 5 - m**3 - 1 - 5*m**2 + 5*m. Let r be 1\/(-6)*-4 - (-184)\/(-24). Is z(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23108 by 5777.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**5\/60 - 23*i**4\/12 - 125*i**3\/2 - 265*i**2. Let z be h(-32). What is z rounded to 0 dps?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppcpcpp. What is prob of picking 2 c and 1 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*(q*q\/(q\/(q**(2\/5)\/q)))\/q*q)**(-48)*(q**(2\/7)\/q)**(-15))**(6\/11))**(-1\/25) assuming q is positive.\nAnswer: q**(21942\/9625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -211 - 9?\nAnswer: -21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15370867.1211646 - -555464.8788364. Let f = -15926325 + m. Let v = f + -7. Round v to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 1)*(5 - 6*c - 5)*(-2 - 2 + 2) + (3 + 2 - 3)*(-2*c - 1 + 1) + 2 - 2 - c to the form r + w*c and give w.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/12)\/5)\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1646*l + 978*l - 116*l + 156*l in the form s*l + b and give s.\nAnswer: 2664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*g + 2*g - 4*k + 13, -g + 5*k - 9 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -127471576*j - 124834119.\nAnswer: -127471576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215714, 431067, 646420, 861773, 1077126?\nAnswer: 1292479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -9 (b) 1.5 (c) -11 (d) -1\/6 (e) -27 (f) 3\/5 (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 6*d + 4*d + 4*d - 4*d - d + (-d + 3*d + 0*d)*(4 - 4 - 2) - 2*d + 4*d + 0*d - d - 4 + 4)*(-2 + 1 + 0).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**4 + 7*p**3 - 152086*p**2 + p + 1178897 wrt p.\nAnswer: -12*p**2 + 42*p - 304172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 3*x - 4, 0*p - 5*x = 5*p. Let b(k) = 8*k**3 - 7*k**3 + 2*k + 1 + p*k**2 + 3*k**3. Determine b(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -6. Let m = -78 - -77.5. Which is the nearest to 1? (a) -5 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x - 5. Let t(d) be the first derivative of d**3\/2 - 38*d + 57. Let u(f) be the first derivative of t(f). Give i(u(k)).\nAnswer: -6*k - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 32. Let b = 34 + i. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45 - 91 - -21)*(-3)\/15.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -2*j**3\/3 - 33*j**2 - 21*j. Is b(-31) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24408 + -8117.36.\nAnswer: -32525.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*q**2 - 43*q**2 - q + 15*q**2 - 8*q**2 to d + a*q**2 + i*q and give a.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7585510 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 333 and 126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6336)*-2 - sqrt(44))\/(sqrt(4) - sqrt(400)*-2) + (-4 + sqrt(704) - (sqrt(275) + sqrt(275) + -4 + sqrt(275))).\nAnswer: -172*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 169 + 5 + -65 + 23 - 34.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100100101000010 + 10010000?\nAnswer: 101100100111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - c + 153. Let u be p(0). Let k = -1219\/8 + u. What is the common denominator of k and (-1)\/(-1)*(-182)\/(-42)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 487021\/10 or 48701?\nAnswer: 48701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 0.03448?\nAnswer: 7.96552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 434374 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/2300904 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 + -75. What are the prime factors of (-2 + -1 + 83)\/(q\/18)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, z: 3}. Give prob of picking 3 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.079 - -58.079. Let h = i - 64. Is h less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 864910 and 4?\nAnswer: 1729820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*z - 10*z + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-4)*5\/15\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(95) + sqrt(95))*-5 - sqrt(95) - sqrt(95)) + sqrt(95) + 4*(sqrt(95) + -3*sqrt(95)))\/(-1*-2*sqrt(180)*5) + 4.\nAnswer: sqrt(19)\/60 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 55 - 67 = 0, -2*s - 4*t = -16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 0*q + 0 - 53*q**2 - 1\/12*q**4 + 0*q**3 + 1\/30*q**5. Calculate k(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10994527 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*u = -5, -11743*u + 11744*u = j + 4. Let t = -28 - -89. Calculate the smallest common multiple of t and j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126193898?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 352986905?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 358, 377, 414, 475, 566, 693, 862?\n\"Answer: q**3 + 3*q**2 + 3*q + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 893.\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, u: 4, b: 1}. What is prob of sequence uu?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 261519010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*s - 62*s = 63*s + w - 9, -54*s - 2*w = -150 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13637432 (base 9) to base 6.\nAnswer: 400453045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-60))\/((-3)\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 172 in descending order.\nAnswer: 172, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3221*c**5 - 2*c**3 - 4351*c wrt c?\nAnswer: 64420*c**3 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 144 * 31.\nAnswer: 4464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*t - 20, 2*f - 3*f = 4*t + 19. Solve -1 - f = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 268909244*l**4 - 1197*l**2 - 25996*l + 1?\nAnswer: 6453821856*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 3*o + 0*o)*(-2*o + 4 - 4) + (-3*o - o + 6*o)*(-9*o - 19*o - 59*o) - 21*o**2 - 10*o**2 + 10*o**2.\nAnswer: -199*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 1:49 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -8*s + 2. Let m be v(2). Let k = m + 8. Let i = k - -13. Does 7 = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*j**3\/5 + 33930059*j**2\/5 + 6169102*j\/5.\nAnswer: -j*(j - 3084551)*(11*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 876 divide 154841760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)\/(i*i\/i**5*i)*(i*((i\/(i**3*i*i))\/i)\/i)\/(i**(2\/11)\/i))\/((i\/((i**(-2\/21)\/i)\/i))\/i*i*i**(1\/5)*i*i**(-2\/7)*i**(-2\/7)) assuming i is positive.\nAnswer: i**(-13751\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 198224763 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/42 and -139\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3766 is divided by 180?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**3\/12 + 11*x**2\/8 + 63*x\/2 - 1241. Factor p(n).\nAnswer: -(n - 18)*(n + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -373 - -426. What is the remainder when z is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (4 - (6 + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 0 - 2*k + 3*k - 2*k**3 - 1 + k**3. Let u(i) = i**2 - 4*i - 4. Let j be u(5). Let x be a(j). What is the nearest to 0 in 0.1, x, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 7*p**2 + p + 16. Let b be q(-7). Suppose -4*n = 4*x + 4, -3*n - b + 27 = -4*x. Solve n = -5*t + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(136) - (sqrt(136) + (sqrt(136) - -6*(sqrt(136) + sqrt(136) + (sqrt(136) - 1*sqrt(136)))))) + sqrt(136))\/((sqrt(200) - 1*sqrt(200)) + sqrt(8)).\nAnswer: -60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.7 and 378.471.\nAnswer: 643.4007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1645191.\nAnswer: 3, 19, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 480 + -240. What is the tens digit of v - (0 - -1 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p, -5*c - 3*p - 15 = 2*p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u - 4. Let l(q) = 4*q + 3. Let z(c) = 4*l(c) + 3*x(c). Let v(t) = 3*t**2. Calculate v(z(f)).\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6834 - 7042) + 108 + 0.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99 + -61. What is the greatest common divisor of 76 and w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365910 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -18*a + 1800. What is the least common multiple of a and 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3668 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1008*u + 402*u - 13332 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 times -0.020483?\nAnswer: 0.471109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, -2, -4, -10010 in ascending order.\nAnswer: -10010, -13, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-4) - (-24)\/16. Suppose 4 + l = -2*i. Is i not equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04557771 less than 274.2?\nAnswer: 274.15442229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 at most as big as 13356\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -15, 1\/7, 183, 5, 11, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdbb when four letters picked without replacement from ddbdddddbbbbddddbbd.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79 + 150. Let b = 211\/3 - a. Let f(s) = s**2. Let y be f(-2). What is the second biggest value in b, y, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 12 + (7 + 13 + -24 - 130 - 5)\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -9.5. Put m, -2, 0.4 in increasing order.\nAnswer: -2, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-3588)\/(-120)) + (-9)\/117. What is the third smallest value in t, 3, 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 255 and 33?\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 - 60*s**2 + 35*s**2 + 30*s**2 - 4*s**3.\nAnswer: -2*s**3 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/14)\/(3*(-8)\/84).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 32 + (4 - (25 - 9))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 80\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08 + -4.92. Let j = 0.54 - 0.04. What is the second smallest value in i, 6, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -8)*1\/2. Suppose -3*g + 5*t = -1, -t + 14 = 5*g + 3*t. Suppose y - g*s = -6, -18 = 5*y + 5*s - 3*s. Sort -1, y, x in descending order.\nAnswer: x, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 98 - 41\/20*m**5 + 0*m**4 - m - 1\/30*m**6 + 17*m**2 + 0*m**3. What is the derivative of o(s) wrt s?\nAnswer: -4*s**3 - 123*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/38)\/(15\/(-4)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -0.3 (b) -3 (c) -2 (d) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2, 613, 5 in descending order.\nAnswer: 613, 5, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 963*c + 1116*c - 1495*c.\nAnswer: 584*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 u when three letters picked without replacement from {c: 4, m: 2, u: 1, z: 2, x: 2, y: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 9\/4*f**2 - 1\/4*f**3 + 5\/2*f + 0 = 0. What is f?\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(19)*-1*-6) + -5.\nAnswer: -5*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-8)\/(-44) - (-1122)\/(-4840))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 7*x**2 - 6*x. Let i be s(-6). Suppose i = -5*t - 88 + 1548. Suppose -5*w + 4*u + t = -391, -4*w = -5*u - 541. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 2*m - 40. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 3*g**3)*((2 - 2 + 2)*(4*g - 4*g - 3*g) + (-18 + 8 + 64)*(-3 + 2*g + 3)) to the form t*g**4 + l + b*g**2 + k*g + m*g**3 and give t.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (1029\/70 + -8)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*s**4 + 72*s**3 - 46*s**2 + 4*s wrt s.\nAnswer: -120*s + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97400?\nAnswer: 2, 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -27776.3?\nAnswer: 138881.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1263 divided by 201?\nAnswer: -421\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 3:52 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2957769.\nAnswer: 3, 109547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by -1650.\nAnswer: -26\/825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3308642 and 7038?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - f + 3. Let t be v(0). Let j(d) = 4 + t*d - d**2 - 3 + 2. Let s be j(4). Sort 0, s, 4 in ascending order.\nAnswer: s, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 14*m**2 + 2*m - 26. Let s be r(14). Suppose -51 = -5*n + s*d + d, 3*n + d = 25. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 399 and 594048.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k = i - 14*k + 17, 5*i + 7 = -2*k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -19*r**4\/24 - 5*r**3\/6 - 331*r**2. Give o(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-24) + 16\/(-6) + 4. Solve 6 = 4*j - n*t - 2, 16 = -2*j - 4*t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19392 by -6464.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-8)*(-4)\/(-3). Solve m - a*r - 8 = r, -3*r - 14 = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - h + 2*k - 6, -20 = -4*h - 3*k. Let o be 1 - (-4 - 10\/5). Let c = 8 - o. Solve 4*q - h*u - 9 = u, -q + 2*u + c = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 10:08 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/264 and -37\/7.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 771 + (-10 - (-12)\/3). Suppose -c = q - y, 8*c - 11*c = -3*q - 2307. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 47020088*x**2 - 138180542220484*x.\nAnswer: -4*x*(x - 5877511)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052181903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147239.6km to centimeters.\nAnswer: 14723960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/4680*65)\/(12 - 2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 388 - 175. Let q = i - 106. Let s = q + -107.0053. What is s rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43003 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.94 - -0.06. Let f = 1296 + -1312. Sort 0.4, f, j.\nAnswer: f, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*u = 144*u + 10665. Let q = -12085\/17 - u. Find v, given that -2\/17*v**5 + 8\/17*v**3 + 0*v + 8\/17*v**2 - q*v**4 + 0 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444374 - 2158366 = -5*n - z, -2*n = 4*z - 1041114. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.34 + -0.04. Let p be (5\/(-2))\/(3\/(-6)). Suppose -460*i + 9 = -469*i. What is the closest to b in -2, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -1746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/120*(-2)\/3. Let m(k) = -k**3 - 5*k**2 + k + 20. Let a be m(-4). Suppose a = -0*t + t - 5*n - 6, -5 = -3*t + 2*n. Is t <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -95*q**3 + 22*q**3 - 16*q**3 + 3*q**3 - 1 + 1 + (3 - 2 + 0)*(0 + 0 + 2*q**3).\nAnswer: -84*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 9. Let r be z(-3). Let g be (-46)\/(-14) - (r + -3). Let 0 + g*q**4 - 2\/7*q - 6\/7*q**3 + 6\/7*q**2 = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4175, 4174, 4173, 4172, 4171, 4170?\nAnswer: 4169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdqdgqgd. Give prob of sequence gq.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*46\nAnswer: 4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 119681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and ((-24)\/(-10))\/(2\/10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -54*m - 25. Is d(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 7*z - 1 - 11 + z**2 + 2. Let t(f) = -9*f**3 + 2*f**2 + 1154*f - 1156. Let j be t(1). Calculate h(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in -1\/157, 0.2, -712, 5?\nAnswer: -1\/157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 251 (b) 1\/8 (c) -1\/3 (d) 5 (e) 2\/15 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1329 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 520248 to the power of 1\/2, to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*r + 4. Let o(y) = 5*y**r + 0 - 15 - 7*y + 0 - 4*y**2. What is the units digit of o(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*v**4 - 210*v**3 + 210*v**3 - v**4 - 171 + 9*v**2 wrt v?\nAnswer: 20*v**3 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34271537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 4392923216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 17*n**3 - 2*n + 1. Let m be u(1). Suppose 2*o + 13 - 3 = 0, 3*a = -o + 1. Calculate the greatest common divisor of m and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1598*o - 1598*o + 1213 + 932*o**2 - 1208 in the form h + j*o**2 + c*o and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 1055399.\nAnswer: -5276995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o. Let z(p) = 16*p + 2. Let x(m) = -3*j(m) - z(m). Let w = 222 - 222. Calculate x(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27195874 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, u: 1, d: 1, h: 2}. What is prob of sequence hdu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 52*j - 217. Let n be u(18). What is the greatest common divisor of n and 553?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1317 divide 148648049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 17390, -1753 in ascending order.\nAnswer: -1753, 2, 4, 17390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28735 is divided by 179?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - r + 10. Let o(u) = 2*u**2 - u + 21. Let q(p) = -13*i(p) + 6*o(p). Let s(n) = n**2 - 2*n + 3. Let f be s(2). What is the units digit of q(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + 7. Suppose -188 = 4*i + 4*k, 5*i - 4*k + 334 = 99. Let c = i - -87. Calculate the highest common divisor of c and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (-4)\/10 - 4. Let o = 17039 - 17029. Let h = -2.06 + 0.06. What is the third biggest value in o, h, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3285 + 3350. Calculate the greatest common factor of 210 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/13, 1\/9, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3134015, -6268029, -9402043, -12536057, -15670071?\n\"Answer: -3134014*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 25. Let m = 2 - j. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhzhhh. Give prob of sequence hz.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 942 = 3*f - 782, -2316 = -4*f + o. Suppose 587*x = f*x + 8785. What are the prime factors of x?\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 250607530?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 v when four letters picked without replacement from {d: 7, v: 5}.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -11. Is 8 a factor of 84*-1*(-6)\/16*x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.3 - 2. Let d = w + 2.7. Let b be 1 + 3 + -4 - 2. What is the nearest to b in d, -1\/2, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -13*q**3 + 16*q**2 - 6*q + 6. Let f(w) = -13*w**3 + 15*w**2 - 5*w + 5. Let y(c) = -6*f(c) + 5*g(c). Find the third derivative of y(l) wrt l.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263579.454 nanoseconds in days?\nAnswer: 0.000000003050688125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577541 is divided by 10307.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*d + 246*d + 469*d + 110*d to a*d + y and give a.\nAnswer: 844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -1, 58, 2 in decreasing order.\nAnswer: 58, 5, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3222.5 minus 11.56153?\nAnswer: 3210.93847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*j**2*w**2 + h*j**2 - 3*h + 10775370*j**2*w**2 + 5*j**2 - 10 with respect to w.\nAnswer: 2*h*j**2*w + 21550740*j**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 36*t**2 + 3*t - 9. Let r be m(3). Does 5 divide (-3)\/12 + r\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/16 and 41\/172.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkdkffdkkkkt. Give prob of sequence ddkk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12 - -0.1. Let t be ((-16)\/40)\/(59\/295). Which is the closest to 2\/9? (a) 1 (b) i (c) 3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2275 and 1225.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9879\/(-178)*(-32)\/6. Suppose -13*d + g = 218. Calculate the highest common divisor of 15 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*h = 2*b - 29, -b = -h - 22. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-308)\/14)\/(-11)*(-2)\/30. What is the closest to -14 in 0, t, 3\/8, 2\/13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8121, 8120, 8119, 8118, 8117?\n\"Answer: -t + 8122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 + 13*u**2 + u - 31. Suppose 3*g = -5*c - 8, -86*c = -84*c - 4. Calculate m(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1355 is divided by 692.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - (sqrt(475) + 0))*-1 - sqrt(475))**2 + ((1 + sqrt(475))*2)**2.\nAnswer: 40*sqrt(19) + 2379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -28*t**2 - 32*t - 32. Let f be (-39)\/3 + -1 + 1 + 8. Let o(v) = v**2 + v + 1. Calculate f*p(c) - 160*o(c).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1837, -4969, -9455, -15295?\nAnswer: -22489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 434123 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 6:27 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 7:09 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 17*d**2 - 11*d + 4. Let x(z) = 17*z**2 - 8*z + 3. What is 5*q(h) - 6*x(h)?\nAnswer: -17*h**2 - 7*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 96 = 11*d. Let q be 8*(2\/d - (-10)\/(-15)). Let b(r) = r**3 + r**2 + r. Let c(l) = 5*l**3 - l**2 + 12*l - 4. Let u(x) = q*b(x) + c(x). Factor u(k).\nAnswer: (k - 2)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 634660 (base 7) to base 13.\nAnswer: 3ac57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -5*c - 25, 3*o - 2*c = o + 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111011011100110011 - -100?\nAnswer: 100111011011100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 1:58 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2065 - -1.2065. Let w = 3 + -2.5. What is the nearest to r in w, 0, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.6 - 24. Let w = l - -3.8. Which is the closest to -2? (a) 0.3 (b) w (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**3 + 4*r**3 + r**3 - 6*r**2 - 3*r + 0*r. Let g(n) = -n**2. Determine -6*g(b) + t(b).\nAnswer: 2*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7447366 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z - 2*o = -18, -z + 5*o = 0. Is 41 - 5\/(z\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0038799921 rounded to six decimal places?\nAnswer: -0.00388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -15*g. Let a(t) = 8*t + 9 - 24 + 15. Let y(u) = 4*u + 3. Let z be y(-2). Give z*f(m) - 9*a(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 9*o - 57 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 16*h**2 - 15*h - 7. Let o(z) = -471*z - 3312. Let p be o(-7). Give s(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2952 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2820, 11565, 26232, 46821, 73332, 105765?\nAnswer: 144120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 12:50 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n**3 - 6*n**2 + 31*n + 152. List the prime factors of y(-11).\nAnswer: 3, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*b + 0 + 1\/7*b**2.\nAnswer: b*(b + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.8 - 0.8. Let x = -18\/23 - -195\/161. Which is the nearest to 0.1? (a) i (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 8. Suppose -2*h - p = -17, -h + 11 = 4*p - p. Let f(x) = x**2 - 5. Let u(y) = 4*y - 1. Let s be u(-1). Give h*f(j) + s*r(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/226 and 11\/226.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -101 divided by 101\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.6 + -7. Let c = -0.225 - s. Let b = c - 0.3. What is b rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**6\/300 + 3*d**5\/200 + 3*d**4\/20 - 1228*d. Solve i(f) = 0.\nAnswer: -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) 0.254 (c) -0.035\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/121))\/(s*s**(-43)) assuming s is positive.\nAnswer: s**(5205\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131731479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*d + 1256, 2*u - 20 = -14. What are the prime factors of d?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 8:54 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 2:06 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 80 + 70. Let n = -127 - -74. Let a = -28 - n. Calculate the highest common divisor of r and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 396 - 4352\/11. Let r = 0.026 - 0.026. Is n > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 2*i - 174. What is the highest common divisor of i and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-10) + 16\/10. Suppose 0*j + 166 = 5*g + 3*j, -4*g - 2*j = -134. Let m be 14\/g + 63\/5. Solve h*l + 5*v = l + m, 2*v - 4 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 5*s + 62 = 5*r + 19, r - 4*s = 31 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (4 + -1) - (-4 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248505.\nAnswer: 3, 5, 16567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s - 1. Let d(q) = 26*q**2 + 10*q. Let o(k) = -13*k**2 - 6*k. Let x(h) = -6*d(h) - 10*o(h). Determine f(x(y)).\nAnswer: -130*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38482, 46853, 55200, 63511, 71774, 79977, 88108?\nAnswer: 96155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 2\/5)*40. Suppose 5*q = -2*s + 92, -y = -5*q - 2*s + s. Let o = -14 + q. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61070747?\nAnswer: 61070747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25078.5 - 5561?\nAnswer: 19517.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -564, -631, -698, -765?\nAnswer: -832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, y: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 33\/176*-2*(-8 + 0). Suppose -3*m + 9 = -3. Suppose r*s = -21 + 6, -m*b - s + 263 = 0. What is b rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 1 + 2*o - 581*o**2 - 4 - 4 as v*o**2 + n + x*o and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -707 - -714.37. Let q = 7.17 - n. Is q at most 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 53*l**2 + 37*l + 125. Is d(-27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.6309827 to 1 decimal place.\nAnswer: -46.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*c + 18 = -0, 5*b - 61 = 4*c. What is the remainder when b is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 266653512?\nAnswer: 266653510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 237802089226031 and 2?\nAnswer: 237802089226029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(3\/8))\/j**(3\/2)*j**(-1\/6)*j**2 assuming j is positive.\nAnswer: j**(41\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-22)\/55)\/((-16)\/20)*10. Let j(d) = -6*d**3 + 4*d + 7. Let w(k) = k + 1. What is s*w(h) - j(h)?\nAnswer: 6*h**3 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -77536, -77538, -77540, -77542, -77544, -77546?\n\"Answer: -2*l - 77534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 413 + -158. Let u = 254 - a. What is the nearest to -0.1 in 6, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.17 + 0.03. Let w = -15.6 - -18.74. Let f = v + w. Sort -0.2, -2\/7, f.\nAnswer: -2\/7, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37.7 + -41.87. Let i = n - -0.17. Sort 6, i, 0.4 in ascending order.\nAnswer: i, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85*c**5*l - 29540*c**5 + 6195*c**2*l - 5*c*l + 10*l wrt c.\nAnswer: 5100*c**2*l - 1772400*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37701633 at least 37701634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(1\/9))\/l**(-4\/5))**(-36) assuming l is positive.\nAnswer: l**(-304\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29.4 - -50.4. Which is the closest to q? (a) 1 (b) 3\/4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 - -63. Suppose g*h = 17*h - 24. What are the prime factors of (-4 - h)*-3 - 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t**3 - 34*t**3 + 0*t**3 - 2*t**3 - t + t + (4*t**2 - 7*t**2 + t**2)*(-t + t - 2*t) - 5*t**3 + 0*t**3 + 4*t**3 + 0*t**2 - 2*t**3 + 0*t**2.\nAnswer: -28*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4648*j**2. Let i(w) = 4*w. Determine v(i(u)).\nAnswer: 74368*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 8743012300 to the nearest 1000000.\nAnswer: 8743000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 2040 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + -4 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -1 + 3\/5*l**5 + 0*l**3 + 0*l**4 + 5\/2*l**2 + 0*l. Find the second derivative of f(g) wrt g.\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*r - v - 11, -3*v + 6 = 0. Suppose -2*c = -r*c + 122. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4130970 divided by -2065485.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v + 3. Let n(l) = l. Suppose -175*c + 164*c = 22. Give c*n(u) + w(u).\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1132 (base 4) to base 15.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 639451*g + 18 + 0 - 639467*g. Calculate v(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {q: 3, s: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5186?\nAnswer: 2, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -11. Let j be 15\/10*y\/6. Suppose -o = -2*o + j. Solve 0 = i - 1 + o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16262 and 658.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**17*(k**(-15)\/k)\/k assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34242068*t**2 - 4*t**3 + 34242068*t**2 + 338.\nAnswer: -4*t**3 + 338","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 less than 0.2?\nAnswer: -57.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3363 + 0.0413. Round v to 2 dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - -13. Let w = 42 + u. Solve -w = q - 0*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 3*f**5\/5 + 3*f**4\/4 - f**3 - 3*f**2\/2 - 15. Factor w(u).\nAnswer: 3*u*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 286 + 6773*w - 871 + 293 + 292 to the form m*w + y and give m.\nAnswer: 6773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1175 + 1213. Suppose 0 = 3*n + 2*n - 55. Suppose -g = -3*w - n. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196354 divided by -2\nAnswer: -98177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*l + 30. Let m = -13 + l. Let w = m - -14. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m - 2050 + 2050.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*i**3 + 7*i + 706704*i**2 - 706705*i**2 - 7*i.\nAnswer: -57*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**2\/11 - 56*g\/11 + 392\/11 = 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/40083 and -44\/51?\nAnswer: 681411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m - 24*m + 1 = -y, 4*y + 16 = -4*m. Which is the nearest to -0.1? (a) m (b) 3 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**38*j))**(-34)\/(j**(-7\/8)*j*j**(-3\/16)*j) assuming j is positive.\nAnswer: j**(20113\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*f + 29*f - 22*f)*(-4 + 1 + 2) + 18*f + 198 - 198.\nAnswer: -38*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 508828.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(115\/30)*1755\/390\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.7 - 6.7. Put -4, o, -0.1, 2\/3 in ascending order.\nAnswer: -4, -0.1, 2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -0.2. Let q(h) = -h**3 - 4*h**2 - 2*h - 2. Let f be q(-4). Let j = -29\/5 + f. Put -4, k, j in descending order.\nAnswer: j, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21720, -21715, -21708, -21699, -21688?\n\"Answer: g**2 + 2*g - 21723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39\/2915 + -72949\/81620. What is the common denominator of -75\/2212 and q?\nAnswer: 11060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s + 5*s = 110 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -126637?\nAnswer: 126632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -636 and -2.3816071?\nAnswer: 633.6183929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 63\/(-1092)*(-16)\/(-2) - 0\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 2*d - 6 = 2*n, -4 = 4*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 1.582.\nAnswer: -0.06328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(612) - (4 + sqrt(612)*2) - ((sqrt(612)*3 + 4 - sqrt(612)) + sqrt(612) + sqrt(612)))**2.\nAnswer: 480*sqrt(17) + 15361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 22*d - 63. Let r be l(3). Let n(k) be the first derivative of 9\/4*k**4 + 7 + 0*k**r + 5*k + 0*k**2. What is the first derivative of n(c) wrt c?\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04 + -0.54. Let g = 1.01 + -0.01. Let x = g - 1.2. Sort 0, a, x in decreasing order.\nAnswer: 0, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {j: 2, n: 3, u: 1, z: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 s, and 1 r when three letters picked without replacement from {r: 7, n: 2, g: 2, s: 2, v: 2}?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1\/4, 4, -0.09, -36?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1869282615.\nAnswer: 3, 5, 124618841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*t - 71*t + 135*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 597492653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**3 - 44405*a + 34932 wrt a?\nAnswer: -3*a**2 - 44405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(30)*-1)\/(sqrt(4000)\/sqrt(4)) + -4)*-2 + 1.\nAnswer: 3*sqrt(3)\/5 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73279 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 46.6 * 42151\nAnswer: 1964236.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.2299 times 0.693\nAnswer: 0.1593207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3441 + 3437. Let a(d) = -d**3 + 10*d - 2. Give a(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*x, -6*n - 2*x = -2*n - 3718. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/(-6) - -2) + 8\/64. Which is the second smallest value? (a) 1 (b) o (c) 1\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -51, -130, -219, -306, -379, -426, -435?\n\"Answer: 2*h**3 - 17*h**2 - 42*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417385322.\nAnswer: 2, 1231, 169531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9796126?\nAnswer: 2, 1453, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g + 6*g**3 + 19*g - 99*g**2 + 99*g**2.\nAnswer: 6*g**3 + 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(24\/(-6) + 3). Suppose 4*w + 5*k = 4, 0*k = -2*w + k - 12. Let i = w - -6. Solve -s*a + i*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2491.\nAnswer: 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 338506 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 43. Let v be ((-14)\/(-4))\/((-2 + 0)\/x). Does 4 divide v\/49 - 194\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f**3 + 211*f**2 - 99*f + 155. Determine v(23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 1\/23, -5.73, 43?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 507*s**2 + 21 - 247*s**2 - 261*s**2.\nAnswer: -s**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(88)*2 + ((sqrt(88) + sqrt(88)*4)*-3 + sqrt(88) - sqrt(88)))\/((sqrt(24) - sqrt(48)\/(sqrt(2)*-1))\/(sqrt(3) - sqrt(48))).\nAnswer: 21*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 3. Let g(l) = 24*l**3 + 2*l - 1. Let u be g(o). Suppose -65 - u = -5*q. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*z**2 - 4*z**2 + z**4 + 12*z**4 - 5*z**2 wrt z?\nAnswer: 312*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35218 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-133)\/252 - 3\/(-4). Put 0.3, 0.7, x in decreasing order.\nAnswer: 0.7, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1253 - -2146. Let j = -410 + t. Suppose -5*k + j = 2*k. What are the prime factors of k?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*(0 + sqrt(200))*4 - (sqrt(200) + -1 + -1 + 3)) + -1)**2 + -3.\nAnswer: -2640*sqrt(2) + 387206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -5, 5, -1180, -2, 0, 1 in decreasing order.\nAnswer: 5, 1, 0, -2, -5, -19, -1180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -99, -150, -199?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*f + 179 + 147, t - f = 109. Calculate the remainder when 334 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -533 + 2193. Let l = -1045 + d. Is l a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 - 4a7?\nAnswer: -48e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 150*w**2 - 6*w - 37. What are the prime factors of f(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2.069511kg?\nAnswer: 2069511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -29 + 35 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 2 - (-4)\/12)*78\/4\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 17*b = 68*b - b. Let y be (1\/(-2))\/(2\/(-8)). Solve -10 = -l + y*i, -3*l + b + 2 = i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2140)\/(((-357)\/4165)\/((-6)\/(-7))).\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 33, 46, 6 in descending order.\nAnswer: 46, 33, 6, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 6*l - 70. Let u = 28 + l. Calculate the smallest common multiple of u and 4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 + 8*w + 8. Let p be 8*(2 - ((-8)\/(-4) - 1)). Let o(v) = v**2 - 3*v - 3. Give p*o(l) + 3*i(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21626, 21638, 21658, 21686?\n\"Answer: 4*f**2 + 21622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17927622 to the nearest integer?\nAnswer: 4234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7609 - -37013\/5. Let x = -207 - q. Let m(i) = -2*i**3 - 45*i**2 - 24*i - 43. Let j be m(-22). What is the second smallest value in j, 2\/9, x?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 64 - 6*(-8)\/(-12). Suppose 0 = 15*i - 19*i + z. Suppose 5 = 6*a - 5*a. What is the greatest common divisor of i and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -0.1, 0.6, -2\/27, -696, 6\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/48)\/(-3*25\/1215)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23392353 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 3\/7 (b) 1 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*w = -7224, -3*w - 2423 = -h - 5*w. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5, 9, 23, 53, 105, 185?\n\"Answer: k**3 - k**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80408 and 368.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 3*m**5\/20 + m**4\/2 - m**3\/2 - 3*m**2 - 7*m. Suppose d(b) = 0. What is b?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*a - 2. Let j = 170\/217 + -11\/31. Is j smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*m - 6, 5*d + 8 = -m + 2. Let j be d + (-590)\/(-16) + (-6)\/(-48). Suppose 2*i - j = 8. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0418297107 to three dps.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-12) + (-4)\/8. Let d = -3.0493 + 3.2493. Suppose 3*i + 0*v = -4*v + 16, -13 = -4*i + 3*v. Which is the nearest to p? (a) -1\/6 (b) d (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4060047, -4060050, -4060053, -4060056?\nAnswer: -4060059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1290)\/(-16 - -59) - 416\/(-14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -4. Differentiate 4*p**2 + 3*p**d - 1 - 4*p**2 - 1 wrt p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13050.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*i - 413513 + 77117. What are the prime factors of i?\nAnswer: 3, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 3, 516 in decreasing order.\nAnswer: 516, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.705 - 49.825. Round t to 0 decimal places.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*i + 2*i**4 + 32*i - 3*i**4 - 8*i**3 + 4*i**3 - 24*i**2 - 1 + 3*i**3 to o*i**3 + h + v*i + b*i**2 + m*i**4 and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1119464, -1119300, -1119148, -1119014, -1118904, -1118824, -1118780, -1118778?\n\"Answer: -s**3 + 171*s - 1119634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 1 (c) -0.1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 3*y + 9, -6 = 351*y - 349*y - a for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 6:58 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001713 to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 22*d**2 + 51*d - 64. Let p be j(24). Let n be (-6)\/(-1) + 1 + -2. Suppose v = n*m - 4, -3*v + v = p. Which is greater: 2\/5 or m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 - 0)\/(3\/(-81)) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**3*h*y**2 - 3*b**3*h + 3*b**3*y - 61*b**2*h*y**2 + 13*h*y wrt y?\nAnswer: 2*b**3*h - 122*b**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 11*r + 15. Let m be l(8). Is (-1892)\/(-3) + 3*(-1)\/m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 12. What is the closest to -1 in -3, z, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.07 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1246 (base 13) to base 2\nAnswer: -101000100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 397782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -21 + 7\/6*s**6 + 32*s**2 - 16*s - 16\/3*s**3 + s**5 - 11*s**4. Find a, given that v(a) = 0.\nAnswer: -2, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.4 (b) 2\/11 (c) 0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 444*q + q**3 - 359*q - 2*q**2 - 1071*q - 3*q**3 as b*q**2 + x*q + u*q**3 + o and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 227587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*q + 10 = 0, 4*t + 2*q - 82 = -3*q. Calculate the greatest common factor of 896 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3071 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2362*y**2 - 28*y**3 + y + 49*y**3 + 2363*y**2 to c*y**2 + f*y + d*y**3 + l and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18480, -36738, -54720, -72426, -89856, -107010, -123888?\nAnswer: -140490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*z = -141*z + 13404. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p**2 - p**2 + 2*p - p**2 + 6*p**2 - 1. Suppose 0*g - 20 = -g. Calculate the remainder when z(-2) is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -77. What is the remainder when 72 is divided by (x\/(-20))\/((-1)\/6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/52 or -4.6?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 480\/(-144)*14\/105*-5?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1952 = 4*q - 1957. Which is the nearest to -3\/20? (a) q (b) -0.2 (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-44)\/11) + (-93)\/(0 - -3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51308, 411055, 1387492, 3288965, 6423820, 11100403, 17627060?\nAnswer: 26312137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 <= 2371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -3) + (50\/2 - 3). Let z = f + -17. Suppose x + 16 = 3*i + 1, -z*x - 28 = -4*i. Solve -r - i*r + 20 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11567.7 - 227976?\nAnswer: -239543.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2068896311?\nAnswer: 17, 121699783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**5\/60 - l**4\/3 - 3*l**3 + 17*l**2. Let y be u(8). Which is smaller: -17 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-4) - (3 - 21). Solve z = -2*z - 4*k - 13, 0 = -2*z + 3*k + q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*n**3 - 5*n**3 - 25*n**3 + 88*n**3.\nAnswer: 25*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 - 118*o + 331. Determine j(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x - 12. Let o be m(9). Let k(p) = 2*p**2 - 3*p + 1. Let z(u) = u. Let d(q) = o*z(q) + 2*k(q). Differentiate d(b) with respect to b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11968 + 19686. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8*z + z + z. Let t(p) = p**2. Calculate f(t(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2588184969.\nAnswer: 3, 17053, 50591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 7:41 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**17*a*a**(-5\/7)*a**(8\/7)*a\/(a*a**(4\/11)*a))**32 assuming a is positive.\nAnswer: a**(42048\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (22\/77*-7)\/12*(-72)\/(-64)*-10\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 2133003112320?\nAnswer: 2133003112312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 2)\/((-4)\/22). Let m(x) = -x**3 - 10*x**2 + 11*x + 7. Let w be m(s). Differentiate 2 + w*b**3 - 3*b**3 - b**3 wrt b.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.8 + -1.2. Which is the nearest to -1? (a) -1 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100672 = -255*m + 268*m. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -16. Let n(b) = 14*b**3 + 6 - m*b - 3*b**2 - 8*b**4 + 2 - 7*b**2. Let o(c) = -c**4 + c**3 - c**2 - c + 1. Let i(y) = -n(y) + 10*o(y). Factor i(t).\nAnswer: -2*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 a when three letters picked without replacement from taaaaaaaaaaaaaaaaa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 150353, 0, -3.\nAnswer: -3, 0, 150353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, o: 1, n: 1, b: 3, j: 1}. Give prob of picking 1 o, 1 l, and 1 b.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91385894 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyihyggyly. Give prob of sequence gh.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3\/7, 5, -1, 1\/10?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28497.51 rounded to the nearest 100?\nAnswer: -28500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o. Let p(i) be the third derivative of -5*i**2 - 1\/12*i**4 + 0*i - 7*i**3 + 0. What is p(q(u))?\nAnswer: 4*u - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/13)\/2 + 154\/13. Suppose 2*q = -4*q + i. Solve 3*b = 5*b - 4*o + 18, -2 = q*b + 4*o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/11)*y**5\/y*y)**(-4) assuming y is positive.\nAnswer: y**(-256\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1487264686 and 0.028?\nAnswer: 1487264686.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5.427061g?\nAnswer: 5427061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 1161*q - 1159*q. Suppose 42*n = q*n - 204. Solve 4*r = -4*x, -28 - n = -5*x + 3*r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + (3 + ((sqrt(147) + sqrt(147)*2)*3 - (sqrt(147) + sqrt(147) + -2*sqrt(147) + 2))*-5)*-5)**2.\nAnswer: -37231155 + 1039500*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u. Let l(y) = -3479*y - 22. Determine n(l(t)).\nAnswer: 6958*t + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 7:19 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*w + 11. Let m be (-1 - (0 + -2))*w. Let y(x) be the second derivative of -x**4\/12 - x**3\/6 - x**2 + 2*x. Calculate y(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1630590*q - 8424 = 1630662*q for q.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**2 - 1. Let a be h(-1). Suppose 0 = 3*c - c - a. Suppose 2*m - 100 = -c*i, 4*i - m = -i + 244. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 167 + -163. Suppose -3*a - 2095 = -6*a + d*m, 3*a - 2105 = -m. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 335321625.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 - 7*w - 189. Is c(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: 3 times 14040431\nAnswer: 42121293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/6 + 42263*z**3\/3 - 3213071*z**2\/6 + 5087934*z.\nAnswer: z*(z - 19)**2*(z + 84564)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 4*a**2 + 7*a + 18. Give g(-5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 11 - 29 = 0. Suppose -m*i = -4*i - 20. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*b + 100 = -218*b for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 53 + 27 + (3 - 7 - 6)*(-3 + 2 + 5))*(3*f**4 + f**5 - f**4 + f**5).\nAnswer: -74*f**5 - 74*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 84 = -3*y, -4*k + 36 - 120 = -3*y. What is the greatest common factor of y and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-844*n + 126*n + 33*n)*(-7*n**2 - 15 + 15).\nAnswer: 4795*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) -1.805 (c) 10773\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 30\/101, 1, -7, -0.6, 5\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/5466748 and 59\/1561928.\nAnswer: 10933496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcc when three letters picked without replacement from cccccckccccckccccc?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 461 + -441. What is the highest common factor of l and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = -126 + 119 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29059332 divided by -6?\nAnswer: 4843222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 at most 441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + sqrt(1008)) + 1*sqrt(1008)*1)**2*-4.\nAnswer: -16164 + 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -38 + -17 + -14 + 25 + 3\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*t - 209773 + 206213 = 0 for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuwrx. Give prob of sequence uxz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19\/154 - 3\/154. Sort 5, -1, -2\/39, z in ascending order.\nAnswer: -1, z, -2\/39, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.49 - 23.44. What is the nearest to o in 0.2, -3\/5, 9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 32801, 65669, 98539, 131411, 164285, 197161, 230039?\n\"Answer: f**2 + 32865*f - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 245632119 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 253810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(-6*sqrt(176)).\nAnswer: -sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -216509.479 rounded to the nearest 1000?\nAnswer: -217000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72219 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38841423, 77682842, 116524261, 155365680, 194207099, 233048518?\nAnswer: 271889937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 30?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, x: 7, a: 3, i: 5}. What is prob of picking 1 q, 1 x, and 2 i?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -14*2\/(-8) + 4\/(-8). Solve -3*f + 21 = 4*n - 10, 0 = 4*f - g*n - 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 8*k + 4. Suppose 178 = -56*c - 102. Calculate m(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**3\/2 - 275*d**2\/2 = 0.\nAnswer: -275, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -528 + 529. Suppose 5*s + 2 = -2*z, 2*z - 3*s + 1 = -j. Let x = -1 + 4. Sort -5, x, z, 4 in decreasing order.\nAnswer: 4, x, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/9)*q*q)\/q**(-2))\/(((q**(-3)\/q)\/q)\/q**(-1))*q**1\/(q**(1\/4)\/q*q)*(q\/q**(-5\/2))\/q*q**6 assuming q is positive.\nAnswer: q**(649\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -414, -827, -1240, -1653, -2066, -2479?\nAnswer: -2892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (3 - (-2 - -4)). Suppose 3*v - 20 = -r*v. What is the second derivative of 0*g**3 + 152*g + v*g**3 - 147*g wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1702*w**2 - 2770*w**2 - 23 + 23.\nAnswer: -1068*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.48788 rounded to one decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -249 - 41?\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 17 + 12 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*g + 3*d - 35 = -158*g, -5*g + 110 = 2*d. Sort -53, g, 0.1.\nAnswer: -53, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1322, -1321, -1320, -1319, -1318, -1317?\nAnswer: -1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3943 - -3942.3. Is w < 25.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6078001 divided by 1?\nAnswer: -6078001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + 3100?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89750 divided by 26.\nAnswer: -44875\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 60, 76, 98, 126, 160?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -52814722?\nAnswer: -52814722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-7)\/b**(-1\/13))\/(b**3*(b\/(b*((b**2\/b)\/b)\/b*b)*b)\/b))**(1\/30))**(-2\/5) assuming b is positive.\nAnswer: b**(43\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 a when four letters picked without replacement from iapiippapapipppi.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 3*a + 24. Solve -a*b = -9 - 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2947 - 2949.8. Sort p, -0.4, 2\/29 in descending order.\nAnswer: 2\/29, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 4, 3, 4, 7, 12?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 30*q + 15225 = 0. Is q a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -300, -2, 308, 630, 964, 1310, 1668?\n\"Answer: 6*u**2 + 280*u - 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -818680 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39662*k - 26 - 13 + 19829*k + 39 + 19826*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -4*v + l, 5*v = 5*l + 15. Let y(s) be the second derivative of 1\/24*s**4 - 2*s + 1\/12*s**3 + v*s**2 + 0. Factor y(f).\nAnswer: f*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-18)*9\/(-4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1184 or 1?\nAnswer: 1184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2238)\/(-746)*(296\/12)\/(-2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -334698, -334706, -334714, -334722, -334730, -334738?\n\"Answer: -8*y - 334690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2\/25*k**4 - 218\/25*k + 2\/25*k**3 - 28\/5 - 78\/25*k**2 = 0.\nAnswer: -5, -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/3)\/(4\/(-26)). Let z be 1\/(2\/(-1 - p)). Let n be z\/(-9) + 11\/3. Solve 4*i - 24 = -5*t, -2*t + n*i + 4 + 1 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (118\/66)\/(6\/74583). Let i = -22228 + y. Let m = -8774 + 175547\/20. Find the common denominator of i and m.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = 1. Let j = 28 - 27. Calculate the remainder when a is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 (base 5) in base 3?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2442)\/162 - -15) + 20 + (-8372)\/(-756)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -221 - 415. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*p + 6 = 129*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 136 - 115. What is the remainder when 39 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*f**3 + 67*f**3 - 383*f**3.\nAnswer: -459*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/3 and -820 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 753*p**2 + 708*p**2 - 1 - 2275*p**2 + 747*p**2 + 4*p**3 as x*p + u*p**2 + o*p**3 + b and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4*(7 - (10 - 1)). Let a be 13 + -8 + 3 + i. Calculate the highest common factor of 99 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1510\/755*142\/(-18))\/(3*2\/(-54)).\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.8 - 0.2. Suppose 10*m - 5 = 5*m + 2*i, 3*m - 4*i = 3. What is the closest to m in 2, 1\/6, p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 - 7. Suppose -x - 2*x + y = 0. Suppose 0 = -5*o - 2*t + 48, -t + 5*t = -2*o + x. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 445, 1\/77, -0.5, -1\/6 in ascending order.\nAnswer: -0.5, -1\/6, 1\/77, 445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 235, 354, 475, 598, 723, 850?\nAnswer: 979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26260369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*z = 0, -2*z + 2 = 3*u - 15. Solve u*j - 15 = -3*k - 2*k, -3*k = 4*j - 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -13142*h + 26267*h - 13133*h. Let a(u) = -25*u + 1. Determine i(a(t)).\nAnswer: 200*t - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163, 1834, 6407, 15334, 30067, 52058, 82759?\nAnswer: 123622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z. Let x(l) be the first derivative of l - 1\/3*l**3 - 3 - 3\/2*l**2. Suppose m + m = 2. Give m*x(k) - 4*q(k).\nAnswer: -k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 406 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -25 + 10\/3*r**3 + 0*r**6 + 0*r**2 + 0*r + 23\/7*r**7 + 0*r**5 + 0*r**4. Find the third derivative of d(s) wrt s.\nAnswer: 2760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 88 - (4 + -14 + -18).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10)*(-30)\/18\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11729 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000 + -10011010011001101010011?\nAnswer: -10011010011001100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - q - 82 = -2*q, -3*p + 86 = -q. Find the common denominator of -33\/74 and (56\/100)\/(p\/455).\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396708 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 2*j**3 - j**3 + j**4 + 2 + j**3 - 5 to g*j**4 + y*j + s*j**3 + d + r*j**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 - 260*h + 767. Give d(127).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 54*j + 1 - 4*j**2 + 1450*j**3 - 727*j**3 + 12*j**2 - 724*j**3 to the form o*j + c*j**2 + d*j**3 + i and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 142 divided by 71\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/18)\/(4\/((-204)\/(-5))*(-60)\/(-120)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one halves of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 - 119*h - 56. Let l be r(60). Solve 0 = -l*s - s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7 + 19 = 0. Let u(j) = -j**2 - 5*j - 1. Let d be u(o). Let l = -8 + 11. Is d <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.2 (b) 17\/2 (c) -1 (d) -150 (e) -1\/4 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8554 or 8566?\nAnswer: 8566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2.27918 nanoseconds?\nAnswer: 0.00000227918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02511309 to 5 dps.\nAnswer: 0.02511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 207188977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79520236*d**2*z**3 - 11*d*z**3 + 4*d*z**2 - 158*d + 137*z - 2 wrt d?\nAnswer: 159040472*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/13 (b) 13 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6200437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*x**4 + 10 + 3*x + 4530694*x**2 + 4*x**3 - 26*x**6 - 4530695*x**2 + 0*x**4 wrt x?\nAnswer: -3120*x**3 - 72*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-84)\/20)\/((-6)\/20). Let c = 1 + t. Solve 4*f - f = 4*y + 3, 0 = -3*f + c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390525.3ml in litres?\nAnswer: 390.5253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92747465 is divided by 177?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-110)\/44*24\/(-5). Solve u + 0*u - 16 = 4*x, -2*u = -4*x - m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.762 + -0.138. Round l to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 11:47 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 5*z + 35 = 5*r, 4*z + 52 = 4*r. Solve 11*k + r = 13*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 498.9 + -499.3. Sort -1\/3, -2, -2\/3, -0.8, w.\nAnswer: -2, -0.8, -2\/3, w, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 9:58 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 272466 (base 9) to base 10.\nAnswer: 165867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1150\/9 - -128. Let y be (1 + -4 - 105)*(-3)\/(-2). Let w = y + 2429\/15. What is the second smallest value in 0, w, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -15) + -1304 + 1304 + (15 - 2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148 = 4*p + 160 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-27) + (-2)\/(-9). Let b = c + 3. What is the highest common factor of b and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -6. Suppose 0 = 2*m + 3*m. Let u = m - t. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*(t\/(t\/t**(-21)*t*t))\/t))\/t**(4\/5)*(t**(-1\/3))**(16\/7) assuming t is positive.\nAnswer: t**(2356\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 482, 1060, 1848, 2834, 4006?\nAnswer: 5352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-40)\/(-25))\/((-2)\/(-5573255)). Suppose 2*w = -1535031 - 182177. Let y = x + w. Round y to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501081061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 15. Let x = s - 7. Suppose -x*w - w + 20 = 0. Solve 2*f - 4 = -3*r, 0*r - w*f = -5*r - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, s: 2}. Give prob of picking 1 t and 2 s.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 309 = -3*l, -c + l + 4*l = -45. Find the common denominator of -81\/10 and (-1 + c)\/(-4 + 6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -16.2. Let w = 0.2 - q. What is the third smallest value in -3, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.7137578 - 2.7169. What is w rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/19)*r*r*r)\/r)**(-4\/17)*(r\/r**(-12)*r)\/(r\/((r*r**(2\/101)\/r)\/r*r)*r) assuming r is positive.\nAnswer: r**(377982\/32623)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 318, 1314, 2974, 5298, 8286?\n\"Answer: 332*j**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from ggvgghhgwvgvgvhhghv?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 8*q**6\/3 + 9*q**2\/2 - 10. Find the second derivative of t(h) wrt h.\nAnswer: 320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.7? (a) 3\/2 (b) 3 (c) -1 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 97*b - 7 + 87*b - 173*b. Give h(-4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -10. Let h be ((-8)\/3)\/(-4)*-6. Let b be (-2)\/h - (-6)\/(-28). Put b, o, -3 in increasing order.\nAnswer: o, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*a**2 + 888296*a + 98700.\nAnswer: -4*(a - 24675)*(9*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12116.6 rounded to the nearest one hundred?\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3*w + 2 + 1)*(4744 - 9513 + 3461*w + 4769) to the form v*w + t + n*w**2 and give v.\nAnswer: -3461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21997 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0423 + -0.3423. Let k be (12\/25)\/((-4)\/10). What is the third smallest value in -2\/5, 2, h, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -137, 267, 35 in ascending order.\nAnswer: -137, 3, 35, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -1, -595, 7, 0, -6.\nAnswer: -595, -6, -1, 0, 1, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37324 divided by 4?\nAnswer: 9331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-91)\/1274*-14)\/(1\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1453*l + 16591 = -8282 + 5984 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/23230032 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(98) + 1.\nAnswer: 2 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 58122090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/8932 and -103\/24439228.\nAnswer: 171074596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84352958.\nAnswer: 2, 42176479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -161675 and 0.5.\nAnswer: -80837.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 12:12 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 77?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4019.\nAnswer: 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2.5+-271\nAnswer: -268.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*v - 3*v**3 - 8*v + (-v + 2 - 2)*(5*v - 5*v - v**2) + (-3*v**3 + 5*v**3 + 0*v**3)*(-11 - 4 - 6).\nAnswer: -44*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*l - 1. Suppose -l*t + 0*t + 4*q = -52, -3*t + 106 = q. Round t to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, 0.5, -19, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1253547696?\nAnswer: 2, 3, 43, 607339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-42 + 30 - 27)*(-3*j + j + 0*j) - 1 + 2*j + 1)*(81*j - 87*j - 64*j + 1) to h*j + g*j**2 + a and give h.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*f + 62*f = 68 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from {z: 2, o: 2, c: 1, a: 2, p: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 4, -0.3, 0, -1 in decreasing order.\nAnswer: 4, 2\/11, 0, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 2*w - 2*w)*(-2*w**2 - w**2 + 0*w**2 + (w - 3*w + w)*(1 - 2*w - 1)) + (-w + w + w)*(-3*w**2 + 4*w**2 - 3*w**2).\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 0.85, -3, -2, -0.2 in descending order.\nAnswer: 45, 0.85, -0.2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**7\/5460 - v**6\/1170 + v**5\/780 - 11*v**3\/3 + 76. Let n(z) be the third derivative of l(z). Suppose n(f) = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**5\/(i*i\/(i**(-17)*i))*(i**(-1\/6)*i)\/(i\/(i\/(i*((i*i**(-13))\/i)\/i*i)*i)) assuming i is positive.\nAnswer: i**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 76421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17197 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 + 5 - 5.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64588297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1501ff - 1?\nAnswer: 1501fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8613 and 292842?\nAnswer: 292842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 93*h**2 + 0 - 98*h**2 + 2 + (-1 + 2*h**2 + 1)*(2 - 5 + 5).\nAnswer: -h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14215220 and 13340?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**5\/20 - a**4\/6 + a**3\/6 + 2*a**2. What are the prime factors of y(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 10*s + 5. Give c(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12667447 to the power of 1\/3, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uujsuwjwuxwsawa. Give prob of picking 1 a, 2 u, and 1 j.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -307 times -0.0314116\nAnswer: 9.6433612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n - 4. Let z be x(5). Suppose -f + z = -0*f. What is the highest common divisor of f and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-1040*c**2 + 1039*c**2 + 1 - 2 - 549*c**3).\nAnswer: -549*c**3 - c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 1016056?\nAnswer: 1016061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 181321 + 30229 = 0. List the prime factors of v.\nAnswer: 3, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 3*h - 1. Let k(m) be the second derivative of -m**4\/4 + 4*m**3\/3 + 3*m**2\/2 + 2*m. What is 11*f(z) + 4*k(z)?\nAnswer: -z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + x**2 - x + 19. Is v(0) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.6 + 0.2. Let v = i - -5.39942. Round v to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4)\/y)**4*(y**(3\/5))**(10\/13) assuming y is positive.\nAnswer: y**(-33\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -2.4. What is the nearest to 3 in -2\/15, l, 1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000059422 to six decimal places.\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12508*x + 9 - 13841*x - 25366*x.\nAnswer: -51715*x + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -7. What is the second biggest value in 0.2, f, -1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164.8 times 58\nAnswer: -9558.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d - 1. Let r be u(-2). Let i(l) = -r + l + 1 - 1 + 2. Determine i(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*u - 113*u - 276 = 0 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 765*n - 91040. Give u(119).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2994595.\nAnswer: 5, 37, 16187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 67.58681kg?\nAnswer: 67586810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5136.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/42*2*2. Let m = 43 + -45. Which is the nearest to m? (a) -1 (b) -0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 30258844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 145, -0.83 in descending order.\nAnswer: 145, 0.4, -0.83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/28 and 36\/23.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.84535ug in kilograms?\nAnswer: 0.00000003084535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -115, 1088, -1 in ascending order.\nAnswer: -115, -1, -2\/7, 1088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7485102 is divided by 1334?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-755 + 132 - 206 - 295)*(4*b - b + b).\nAnswer: -4496*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - 22?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -99757 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-1*1*sqrt(112) - (((sqrt(112)*4 + sqrt(112))*4 - sqrt(112)) + sqrt(112))) + 0))**2.\nAnswer: 444528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3216 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8)\/((-48)\/192)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3095.000005784 - 3095. What is c rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3415*w - 47842. What is l(-14)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.8 - 8. Let n be 1*((-147)\/7)\/(-42). Sort 53, n, p, -5 in ascending order.\nAnswer: -5, p, n, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4101731 - -5?\nAnswer: 4101736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(275) + 1*sqrt(11)*1)**2 + -5 + -1*sqrt(1100) + sqrt(1100) + sqrt(1100).\nAnswer: 10*sqrt(11) + 1330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - d = -15, -5*c + 10*c + 10 = 4*d. Suppose -r - 4*r = -20, h = c*r + 8. Suppose 74 + h = 5*g. What is the greatest common factor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -4, 0.5, -0.7, -10, 15?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4 + 24 = 0. Suppose -27 = -2*s - 3*g, -s + 0*g + c = g. Let n = -121 + 147. What is the remainder when n is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 bigger than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*u - 51 = 5*w + 29 + 30, 0 = 2*w - 5*u + 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -17. Let r(p) = -6*p - 14*p + 1 + i*p - 12*p. Give r(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24366?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s**3 - s**3 + 3*s**3)*(-8*s - 30*s**2 + 8*s + (-1 + 1 - 2*s)*(-s + s - s) - 4*s**2 + 4*s**2 + 2*s**2 + (2 + 3 - 3)*(-s + s**2 + s)).\nAnswer: -216*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85 - 143. Let v = 11047 + -11104.926. Let l = c - v. Round l to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31010 and 22593?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -678?\nAnswer: -678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -2. Suppose -v - 1 = l. Let g(r) = -r. What is the units digit of g(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 13. Solve 0 = g - x + 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61068994 divided by -7.\nAnswer: -8724142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**0)\/(r\/(r*r*r**(-2\/13))) assuming r is positive.\nAnswer: r**(24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g = -3*g + 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*g - 27*g + 34 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/73))\/(j\/(j\/(j\/(j**(-11)*j)*j))) assuming j is positive.\nAnswer: j**(-801\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 137, 269, 401, 533, 665?\n\"Answer: 132*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0 + 8 = 0. Suppose -i*s - 6 - 2 = 0. Let y = -1 - s. Sort -3, y, -5 in increasing order.\nAnswer: -5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 2*d. Is (68\/(-17))\/(d\/(-298)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 7*h**2 + 4*h + 3. Is 15 a factor of z(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 10:36 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-522)\/(-231) + 2\/7. Let d = j + -45\/11. Find the common denominator of 0 + (42\/(-20))\/(-3) and d.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*1 + 130\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -211?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**6\/120 - t**5\/12 - t**4\/6 + 2*t**3\/3 + 5*t**2. What is the units digit of p(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 9:19 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1001?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13625.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 824 - 500. Suppose -2*z = -n - 214. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5931334 is divided by 106?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-1264))\/((-2)\/29564). Let w = y - -1052081\/8295. Let j = 100\/3 - w. Is j greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbb. What is prob of picking 2 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 3*w**2 - 18*w + 32. Let c be i(2). Solve -16 = -l + 3*l + 3*t, -2*l + t = c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 37210, 37153, 37084, 37003, 36910?\n\"Answer: -6*h**2 - 39*h + 37255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(15\/790)*2. Suppose 4*d - r = 1200. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(19)*2*-3)**2.\nAnswer: -8208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**4\/6 - 2*s**3\/3 - 3*s**2. Let n be q(2). Let g(h) = -h**2 + 3*h + 1. Calculate g(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/2)\/u)**(2\/3))**(-6\/13) assuming u is positive.\nAnswer: u**(10\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 2:54 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*g**2 - 3*g**3 + 4*g**4 - g + 3*g + 88*g**2 to q + s*g**3 + h*g**4 + o*g**2 + z*g and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2663 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5 = 11. Calculate the common denominator of 16\/14 + j\/(-1) and 121\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*d - 24. Let p(k) = k**3 - 6*k**2 - 2*k + 12. Let j be p(d). Solve -3*h + j + 12 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4c0 (base 13) to base 10\nAnswer: -832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1)*0\/2. Suppose -u + z*u = -10. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000544045 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 309, 361, 423, 501, 601, 729, 891?\n\"Answer: f**3 - f**2 + 48*f + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*r**5 - 75400*r**4 - 188165*r**3 - 155150*r**2 - 47005*r - 4700 = 0.\nAnswer: -940, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 23 - 38*y**4 - 45 + 3*y**3)*(-y + 2*y - 3*y).\nAnswer: 76*y**5 - 6*y**4 - 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 10*n**3 - 3*n**2 - 6150. Let i(b) = 10*b. What is r(i(w))?\nAnswer: 3000*w**2 - 60*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g. Suppose 0 = -2*o + 2*q - 26, 2*q + 16 = -2*o - 30. Suppose -4*v + 1 = 2*j + 13, -2*j = v. Let l be (1\/(-3))\/(j\/o) - 2. Determine z(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 12}. What is prob of picking 1 n and 1 h?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 38730588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/328 + ((-110)\/20 - 3 - -9).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-70)\/5 - -2) + 11501?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23695\/2? (a) -3\/4 (b) 1 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -270 + 467. Suppose 31 = 2*k + c. Let z = -47 - k. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4787d7 (base 14) to base 11\nAnswer: -141a005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 138\/(-184)*((-2)\/(-6))\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38827.77 - -38462. Let b = 363 + h. Let s = -2.939 - b. What is s rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(16\/(-6)))\/3. Suppose 0 = -143*o + 283*o - 178*o. Suppose -1\/2*t + w*t**2 + o = 0. Calculate t.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-33) - (6\/11 + (-34592730)\/418) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1718.4 - 1718.509965. Let l = -0.11 - m. What is l rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 813 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 816 - 805. Let k(v) = v**3 - 9*v**2 - 24*v + 25. What is k(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 18) + -3 + 6 + (-39 - -30)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13586582593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*v + 38*v + 4517 = 913 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 13*o + 10. Give k(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, s: 1, a: 1, h: 3}. What is prob of sequence hshh?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 4.206?\nAnswer: -16.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-4)*3*26\/12. Suppose 4*o - 46 = 62. Let x = o - s. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-6)*(-473)\/258?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 + -47. Let n(q) = -2*q**2 - q**2 + q**3 - 2*q**3 + 1 + 5*q**2 + 3*q. What is the remainder when g is divided by n(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/12*(-5118)\/(-3). Let w = 2198 + -3880. Let x = w + l. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 1, 0, 5 in ascending order.\nAnswer: 0, 2\/3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-2))\/((-387)\/258).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 7:05 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 143.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*u - 23*u - 2*w = 24*u - 16, -4*u = 3*w + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3607 = -482. What is the highest common factor of b and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12184 is divided by 472?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 523398398 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3979, 15, 0.006, -3, -0.1, 0.3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 - ((-16)\/(-10) - 10\/(-25)) is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/15600 and -17\/928.\nAnswer: 904800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1243*u*w**4 + 413*u*w**3 - 448*u*w + w**4 + 25*w**2 + 9 wrt w.\nAnswer: 29832*u*w + 2478*u + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + -238. Let g = -158 - v. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 times -0.8\nAnswer: -59.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6666582 divided by 3\nAnswer: 2222194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from {y: 1, t: 1, i: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 753281 and 6767.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, i: 6}. Give prob of picking 3 i and 1 c.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2305382226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 65\/12*m**2 + 20\/9*m**3 + 5\/24*m**4 + 5*m - 16. Find i such that a(i) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56368 = -1412*m + 118973 - 24257 for m.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38966907 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5309, 10718, 16127?\n\"Answer: 5409*u - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + 16592\/442 + (-142)\/(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 8. Let k(i) be the first derivative of i**2 + 62. Give f(k(h)).\nAnswer: 4*h + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o + 8*o + 5. Calculate the highest common divisor of 10 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*w - 4. Factor -216*t**2 - 270 - 80*t - 130 + 212*t**w.\nAnswer: -4*(t + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l - 3*l + 0*l)*(0 - 1 + 4) + 23 - 6*l - 23)*(3*l - 4*l + 0*l).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**4\/12 - 167*w**3\/3 - 336*w**2 + 1464*w. Determine o, given that l(o) = 0.\nAnswer: -2, 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 11:12 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/6)\/(10\/(-2310)). Calculate the greatest common factor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 + 3*y. Let t be i(-2). Let c = t - -27. Suppose j - 5*j = 20, 3*j = -4*o + c. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6960596642 to the power of 1\/5, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 811 - 52. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.7 + -5?\nAnswer: 9.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44\/39 or 9?\nAnswer: 44\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, y: 1, k: 6, x: 3, j: 2}. Give prob of sequence kxjb.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*j - 44*j + 10104 = 4*k, j - 10104 = -4*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 4 + -5 + sqrt(11) - sqrt(1584)*-6)*6.\nAnswer: -6 + 444*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/2)*(p\/(p\/(p**(1\/5)\/p)))\/p)**(-21))**(-9\/7) assuming p is positive.\nAnswer: p**(-81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a0bb - 106?\nAnswer: -a205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 36687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -57.18498156 and 8.1.\nAnswer: -49.08498156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3144366?\nAnswer: 2, 3, 58229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 + 79. Suppose -l - v - 2 = 0, -2*v = -u*l + l - 8. Sort 5, -10, -1, l in descending order.\nAnswer: 5, -1, l, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/1743 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -282 + 257.4. What is l rounded to 0 decimal places?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -19. Let q be (2 - 0)\/(24\/x). Which is the nearest to 3? (a) -2\/11 (b) -2\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7684215 a multiple of 1216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 + 94. Let p(r) = r**2 + 5*r + 6. Let x be p(-4). Let b(h) = -x*h**2 + h**a + 0*h**2. Let j(f) = -f. Calculate j(b(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 3*s + 3. Let m be t(3). Let x be 1\/(3*m\/175860). Let g = 586069\/30 - x. What is the common denominator of 91\/8 and g?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 25*b**4\/12 - 20*b**3\/3 + 20*b**2 + 63*b. Let q(z) = -2*z**2 + 3*z - 3. What is -3*f(m) - 40*q(m)?\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -13*u**5\/30 + 2*u**2. Let s(t) be the first derivative of 3*t**2 + 226. Determine s(a(l)).\nAnswer: -156*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1, -0.08, 1\/3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u - 876 + 1901 - 1031.\nAnswer: 6*u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*o - 12. Let s = o + -13. Which is the closest to s? (a) -0.08 (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 4*s - 2. Let o be j(-3). Let l = o - 20. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r - 1. Let z be f(5). What is the greatest common divisor of z and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + 7336088*o**3 + 8969751654624*o**2 + 3655825598845752480*o + 80423821892919913056.\nAnswer: 2*(o + 22)*(o + 1222674)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y - 15*y - 31*y - 4590 - 595 = 0 for y.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 30, -1.2, -60\/7, 4, -3\/5, -9?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 20. Is b\/5 - (-9501)\/15 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 742.3335 rounded to the nearest ten?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**2 - 22*t = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4480 divided by -32?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 21*q**2 - 98*q - 4. Let r be a(14). Suppose -4*t + 5*x + 5 = 0, -t - t - 2 = 2*x. Put -5, r, t in decreasing order.\nAnswer: t, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*p - 24. Let a be (-2)\/8 + 25\/p. Let b(w) = -3*w + 12. Let t(j) = -2*j + 7. Let f(c) = -3*b(c) + 5*t(c). What is f(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.0794 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1224, -1224, -1210, -1176, -1116, -1024?\nAnswer: -894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9\/20 + -3\/140. Which is the nearest to u? (a) 5 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2 + 2 - 3 - 100*i + 3*i**2 - 2*i**2 + 101*i. Let t(b) = -2*b**2 - 3. Determine f(h) + t(h).\nAnswer: -h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l - 7. Let g be v(-6). Let m = -1 - -4. Let t = m + g. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1162.6 - 1163. Which is the third biggest value? (a) u (b) -24 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 11:55 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 2030, 0.1, -58, -8?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 3*z - z)*((0 - z**4 + 0)*(-2 + 3 + 1) + z**4 + 0*z + 0*z).\nAnswer: -z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.51, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m - m + 5*m + 8 + (5 + 0 - 4)*(m + m + 3*m))*(-4*m + 7*m - m)*(0 + 0 + 18)*(-4 - 4 + 6).\nAnswer: -216*m**2 - 576*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3940 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -121001?\nAnswer: -120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqq when three letters picked without replacement from yxyhqhyiqqqyyh?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l**2 - 4*l + 2. What is r(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -464 + 458. Let y = -0.1 + 1.1. Which is the closest to y? (a) -1\/8 (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.17 + -9.83. Let k = -18 - u. Let v = k - -8.00095. What is v rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 = 4*z - 3, 0 = -4*v - 4*z - 20. Let g be (-30)\/(-4)*v\/(-12). Solve g*o + 0 = 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v**2 - 17*v + 13. Let n(h) = -h**2 - 1. Let u(m) = -4*n(m) + p(m). Let o(b) = -2*b**2 + 3*b - 3. Give 34*o(s) + 6*u(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 + -102. Let a(c) = 3*c**2 - 176*c + 703. Let h be a(4). Let q = h + w. Solve -2*o + 7 = l, 0*o = q*o - 4*l - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 + 12*p + 16. Let a be q(-4). Suppose a = 8*l + 10*l - 11*l. Suppose l - 1\/6*m**2 - 1\/3*m = 0. What is m?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 89.12902 and -0.4.\nAnswer: 88.72902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/27903940 and -75\/772.\nAnswer: 27903940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -49*v - 17. Let t be a(7). Let w = t + 365. Let y be (-16)\/(-7) + (-8)\/28. Solve -3*r - w = y*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, q: 3, h: 12}. Give prob of sequence hh.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548175 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, -4\/7, -1\/3, -2.2.\nAnswer: -2.2, -4\/7, -1\/3, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-3\/10)*n*n\/(n*n**(-1\/6)\/n))\/(n**(-2\/11))**(-1) assuming n is positive.\nAnswer: n**(707\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264 = 1735*d - 9352 - 11732 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 3*j**2 - 3. Let k be y(-3). Let i(q) be the second derivative of -q**4\/12 - 2*q**3\/3 - 3*q**2\/2 + 22*q. Give i(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 282554 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b0954 (base 14) to base 5.\nAnswer: -102040124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 624 and 2272656?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -17*i**6\/360 + 5*i**3 - 6. Let m(k) be the third derivative of d(k). Let x(s) = s. What is m(x(n))?\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i**5\/3 - 69270350*i**4\/3 - 239919207996785*i**3\/3 - 319892000247700*i**2 - 319891907887260*i = 0.\nAnswer: -6927033, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 419.3 + -437. Let g = b - -27. Round g to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -379 divided by 424934?\nAnswer: -379\/424934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 3947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448 + 66 = -44*r + 74 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + (-7 - (29 - 11)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + ((sqrt(117) - (sqrt(117)*2)**2) + -5 - sqrt(117)) - (3 + 1 + sqrt(117))**2 - ((sqrt(117) + sqrt(117) + -1)*4 + 2).\nAnswer: -604 - 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106180078 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*s + 998, 0 = -b + 10*s - 5*s + 506. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1786575 and 81672.\nAnswer: 14292600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*n + 12*n - 8*n + 2*n + n - n + n + 4*n - 3*n - n + 1 - 1 + (-1 + 3 - 1)*(4*n + 2*n - 4*n) + 0*n + 2*n + 0*n to the form k*n + h and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2718 from 0.5.\nAnswer: 0.2282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, v: 8}. Give prob of sequence bb.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-10))\/(67*40\/314900).\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*o + 243*o - 594 + 3537 = -5313 for o.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1428570 and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3\/7 - 160*x**2\/7 + 164*x\/7.\nAnswer: -4*x*(x - 1)*(x + 41)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. Let x = 2 - 2. Suppose 5*u = -5*r + 40, 194*r = -2*u + 195*r + 10. Solve u = -a*p - x*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-2)*(1232\/3388 - 736\/1540)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/7)\/((-440)\/1232).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 3*t - 222 = w - 244, -3*w = -60*t + 141 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, p: 5, z: 6, l: 1, x: 2}. Give prob of sequence pxzz.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299395999 is divided by 26658.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from {l: 2, g: 9, z: 2}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*y + n, -95*n + 12 = -98*n. Let w(v) = -3*v + 14. Determine w(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 4 + -8 - -2 - -2 - 26?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19179468 and 57868.\nAnswer: 441127764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1354 + 1378. Solve 411*r + d = 405*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -11. Suppose -y + 3 + 0 = p. Suppose y*j - j = 10. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5238\/970*(-10)\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -28. Let c(q) = -q**2 + 15*q + 1. Let k be c(u). Is 12 a factor of (-12)\/8 - k\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 - -61. Suppose -2*h - t = -43. Solve 0*n = 5*n + h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**14*i*i)\/i*i**(-17)*((i*i*i**(-3))\/i*i)\/(i\/(i*i**16*i)*i))**(-39) assuming i is positive.\nAnswer: i**(-507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 0.1, 0.35?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 o when three letters picked without replacement from loowwonwowwwowoom.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) - 19\/(-3). Let r = 446 + -433. Let c = h + r. What is the remainder when 78 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000000011101110101101 (base 2) to base 16\nAnswer: 203bad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772373 is divided by 24136.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 9:18 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010111101 + 11?\nAnswer: 11011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -90430*l*u**3 - 67122*l wrt u?\nAnswer: -271290*l*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.235, 2\/49, 1.43 in descending order.\nAnswer: 1.43, 2\/49, -0.235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 6600.\nAnswer: -1\/6600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 101 + -101. Suppose v = y + 13*y. Suppose -5*i + 3*x + 25 = y, -5*i + 3*x = -x - 25. Solve 4*j - 45 = -i*u, -3*j + 25 = u + u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + n + 13 - 3, 19 = -3*p + 2*n. Sort 4, -2, p, 3 in decreasing order.\nAnswer: 4, 3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.2 (b) -4 (c) -482\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52784 = -4*p + 4*w, 4*p + 122*w - 119*w - 52763 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -2880.6\nAnswer: 2880.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m**2 - m. Let s be 1 + (-2 - (2 - 2)). Let j be d(s). What is the lowest common multiple of 2 - 3 - (-4 - j) and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 + 17*g**2 - 139. Let d be z(7). Let i be (40\/(-15))\/(3\/(-198)). Calculate the greatest common divisor of i and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00034538771 to 6 decimal places.\nAnswer: -0.000345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t - 26*t + 144 = 0 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/20)\/(72\/120). What is the closest to r in -3\/14, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 16*r**2 + 6*r + 64. Determine n(-16).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4)*m)\/((m*m*m\/m**(-7))\/m))\/(m\/m**(-3)*m**(7\/5)) assuming m is positive.\nAnswer: m**(-87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**4\/4 + 3*t**3 + 4*t**2 + 6*t + 1. Let v be (0 + 1)*(71 + 5 + 4). Let z be (v\/36 - 2) + 74\/(-9). Give s(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278214?\nAnswer: 2, 3, 89, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30627417 and -5.\nAnswer: 153137085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*n + 98, 5*n - 4*g + 69 = 360. Suppose n*u - 54*u - 292 = 0. What is the remainder when u\/14 + (4 - 135\/35) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 7*f - 31. Let s be z(7). Let m = -6 + s. Calculate the remainder when 23 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -0.05, -15\/2 in decreasing order.\nAnswer: 2, -0.05, -2, -15\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/18? (a) 1 (b) 21601 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 5)*(-15*f**3 - 57*f**5 - 44*f**5 + 15*f**3).\nAnswer: 303*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68.402 - 68.2. Let b = 602.84430127 + -602.6423. Let p = b - h. Round p to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - -50 - (12 - 15).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h + 2520 + 1467. Is -444 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 8:11 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10198 (base 12) to base 8\nAnswer: -51004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 - -4 - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 52, 144, 284, 478, 732, 1052, 1444?\nAnswer: 1914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 333 + 393. Sort 0.5, v, 0.1, -0.1 in increasing order.\nAnswer: v, -0.1, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4875 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 770 divided by -2751\nAnswer: -110\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**3*p**3 - 44777*o**3*p - 26*o**2*p + 235139*o*p**3 + 7*p**2 wrt p?\nAnswer: -6*o**3*p + 1410834*o*p + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 8*l - 90 = -2*o, 4*l - 3*o - 105 = 0. Solve -3*i + 6*b - 3*b = -l, 3*i + 3*b = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24655 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r = 2. Let p be 3 + 21 + (-2)\/r. Let j = -16 + p. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 99?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyro when four letters picked without replacement from yoryrrfrrool?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5963*u - 56. Let p(t) = 2993426*t - 28140. Determine -1005*g(d) + 2*p(d).\nAnswer: -5963*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -19*w. Suppose -5*x = -78 + 8. Let l(o) = 6*o. Let k(c) = x*l(c) + 4*m(c). Let h(s) = -2*s**2. Determine h(k(a)).\nAnswer: -128*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -3\/16, 2\/3, 2, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -8*k**2 - 13*k + 5. Let y(s) = 15*s**2 + 25*s - 11. Let d(i) = -7*u(i) - 4*y(i). Let t(g) = -6*g**2 - 14*g + 14. Determine -8*d(l) + 5*t(l).\nAnswer: 2*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 71321 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*f**4 - 4*f**4 + 4*f**4 + (-26*f**2 + 27*f**2 - 6 + 3*f + 1)*(-4*f**2 + 3*f**2 + 3*f**2 + (2 - 3 - 1)*(-2*f**2 + f**2 + 4*f**2)).\nAnswer: 4*f**4 - 12*f**3 + 20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-8 - (2 - 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 9. Determine s(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 10:05 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.1201 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(7)*-2 - sqrt(7)) - sqrt(7) - (3 + (sqrt(7) + 1 - sqrt(7)))) + 4 + -3.\nAnswer: -4*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6146 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 20*p = 22*p - 15, r - 5 = -p + 2*p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = -1824 + 1838 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -45926, -91851, -137776, -183701?\n\"Answer: -45925*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 8 + -37 - -5?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 736225.7 millilitres?\nAnswer: 736.2257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -4) + 1 + (-4 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 2, n: 1, f: 1}. What is prob of picking 1 n and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -25605 (base 11) in base 5?\nAnswer: -2133133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182, -33, 116, 265, 414?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*s**2 + 65*s**2 - 80*s**3)*(-s - 2*s + 4*s)*(6 - 5 + 6).\nAnswer: -560*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-175))\/((-176)\/(-3696))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/1544 and 7\/44004?\nAnswer: 88008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 5. Let v(q) = 2*q + 9. Give -5*s(h) - 3*v(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 5066.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - 70?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/5 - 569*j**2\/5 + 270*j + 1152\/5.\nAnswer: -(j - 3)*(j + 192)*(3*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**8\/840 - g**7\/175 - g**6\/100 - g**5\/150 + 9*g**2. Factor h(t).\nAnswer: -2*t**2*(t + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05297 and 1.\nAnswer: -0.05297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*u**3 + 29*u**3 - 29*u**3 - 1.\nAnswer: 45*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**3 - 84*i**2 + 14*i - 35. Let c be s(28). What is the highest common factor of 51 and c?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 at most 111659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 12) in base 15?\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-470)\/8*(-35)\/25 + (-133)\/532. What is the highest common factor of s and 3977?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 5. Suppose f*o + o = 96. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) - (6*sqrt(117)*2 + sqrt(117) - sqrt(117))) + sqrt(117) - sqrt(117)) + (sqrt(117) - (-5 + sqrt(117)*3 + sqrt(117))))**2.\nAnswer: -420*sqrt(13) + 22957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9921115, -19842150, -29763185, -39684220?\nAnswer: -49605255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-22))\/(32*(-31)\/(-2976)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1321183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9695, 9612, 9531, 9452, 9375, 9300, 9227?\nAnswer: 9156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + -3 + 7 - -5873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 85800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-3 - 5 - -8) - 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l - 4*l + 15 + 2*l**2 - 3 + 0. What is the tens digit of y(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 - 26ca26?\nAnswer: -26ca4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27ed (base 15) to base 3.\nAnswer: -102201121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -150\/1065253 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 4*d - 10. Let j be l(6). Suppose -1 = -m - 5*o + 7, -j*o - 13 = -5*m. Let z(v) = -5*v + m*v - v. Let x(g) = -2*g**2. What is z(x(y))?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**2 + 25*r - 7. Let j(t) = t - 18. Let c be j(6). Is v(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 16*p + 10 = -13*p, -p = -4*w - 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 11 - 4)*(4*y - y - y)*(-2*y**2 + y**2 + 0*y**2)*(-2*y**2 + 1 - 1) - 4*y**5 + 3*y**5 - y**5.\nAnswer: 42*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 4:57 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42944 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 316602 (base 11) to base 16.\nAnswer: 7ba8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*u - 76 = -0*u, 4*s = -2*u + 232. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 3*k**4 + k**3)*(0 - 1 + 3 + 2*k)*(5 + 10 - 5).\nAnswer: 60*k**5 + 60*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 3 + sqrt(2))**2 - sqrt(2)) + (-3 + sqrt(128))**2.\nAnswer: -45*sqrt(2) + 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -333, -729, -1293, -2031, -2949, -4053?\nAnswer: -5349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 7*k**2 + 13*k - 14. Let v be t(10). Suppose 77*q + v = 79*q. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -146, -5, -6, 4 in ascending order.\nAnswer: -146, -6, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/4 - 144473*i**3\/4 - 2608947609*i**2\/2 + 3913674245*i - 2609164322 = 0. What is i?\nAnswer: -72238, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*h - 20 = 0, 24 = 6*i - 2*i - 4*h. Suppose 0 = -3*y + 5*y - 2. Suppose 2*g = -i*q + 28, -q - g + 6 = y. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, h: 3, l: 1, x: 2, b: 1, y: 1}. What is prob of picking 1 h and 1 v?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0*5\/(-15))\/1. Suppose j = -6*q + 4*q - 324. Let v = -43 - q. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -31, -30, -29?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 12:01 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h = 2*k - 57, -5*h = -4*k + 117. Let v be 18\/99 + 225\/k. Suppose -v*r + 520 = -5*r. List the prime factors of r.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 + 55 = -6*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1916278 = 134*s - 1909042 for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7905*p + 577066. Give o(-73).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b39 (base 13) to base 15\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -893, -3563, -8013, -14243?\nAnswer: -22253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -234 divided by -2\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o + 0*o + 0*o)*(3*o**2 - 7*o**2 + 9*o**2) - o + 0*o + o + 68*o**3 as f + l*o**3 + z*o**2 + s*o and give l.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 11130.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1 - 2*c - 3*c**3 - 7 + 5*c**2 + 4*c**3. Suppose 2*n + 31 = -4*g + 7*n, 0 = 2*g + 3*n + 21. Let f = g - -4. What is m(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1053119 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2430 divide 2618252379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z - 35 - 112 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2294569*o**3 - 38*o**2 - 2*o - 111545792 wrt o?\nAnswer: 13767414*o - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -1, -4 in decreasing order.\nAnswer: 23, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.093 - 937258310\nAnswer: -937258310.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 11:32 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19\/5 + 52\/(-65). Solve 0 = -4*n - y*x + 5, 3*x = 4*n + x - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-15)\/(-12)))\/(-2)*260\/52.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 11 (c) 1\/4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*4*27\/144*(-30)\/27.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 315184?\nAnswer: 945552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvvvxxxvjkpyxvv. Give prob of sequence xjpv.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -w + 5 - 0, -u + w = -5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53226 - -3?\nAnswer: -53223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 4*f - 19 - 3 = 0, -4*d = -3*f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20881, 41776, 62677, 83584, 104497, 125416, 146341?\n\"Answer: 3*h**2 + 20886*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.78234 and 2621.\nAnswer: 2621.78234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15820.3 + -16834. Let p = 720 + f. Let l = 310 + p. Round l to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1210 = 103*s + 18*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-1)\/(-2)*(-6)\/12. Suppose l = -47*w + 48*w. Solve -r - 1 + 6 = w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 times -4905\nAnswer: 8829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2315 + 2313. Let d(j) = -2*j**2 - 17*j + 3. Let g(q) = q**2 + 16*q - 2. What is s*d(h) - 3*g(h)?\nAnswer: h**2 - 14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129791176?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**3\/3 - 8720*o**2\/3 + 86825*o\/3 - 72250 = 0.\nAnswer: 5, 1734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 12 = -n - 2*s, 2*n = 5*s - 12. Suppose 0 = 5*k - 16 - n. Do 16\/3 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5 = 0, 3*c = -4*p - 0*p + 68. Let m(n) = -c - 3 + 19 + n. Let g(a) = -a. Let t(z) = 7*z - 2. Let q(k) = -4*g(k) + t(k). Calculate q(m(u)).\nAnswer: 11*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-2)\/(-4))*-14. Let p = 5 - 0. Suppose 4*v - 25 = -4*f + 3*v, 0 = -4*f - 4*v + 40. Solve c - 2*c - 23 = -p*w, -f*c - z = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + f**3 + 0*f**3)*(27*f - f - 16*f + (3 + 4*f - f - 2*f)*(4 - 6 + 4)).\nAnswer: -12*f**4 - 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2214278?\nAnswer: -5\/2214278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**6\/6 + 31*a**3\/3 + 5535*a**2\/2 - 2970. Find the second derivative of f(m) wrt m.\nAnswer: 20*m**3 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from shshsshw.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -233 times -322372\nAnswer: 75112676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -306, -782, -1552, -2676, -4214, -6226?\nAnswer: -8772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 934 + (-2)\/((0 + 1)*2). Let s = 1556 - r. List the prime factors of s.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 21 - 2*m**3 - 1044*m**2 + 1042*m**2 + 14*m as w + d*m**3 + j*m**2 + q*m and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1715848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 28 - 3. Suppose 2*p = u*v + 3*p - 115, -5*p = 2*v - 69. Calculate the remainder when v is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -369 (base 11) to base 8\nAnswer: -666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*r**4 - 1704*r**3 + 83647*r**2 wrt r.\nAnswer: 456*r - 10224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 214. Let r be p(-25). Let k = r - -269. Sort 2\/3, 0, -3\/2, k in descending order.\nAnswer: k, 2\/3, 0, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*b = 307*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2. Let l be v(0). Suppose l = -2*i - 0*i - 4. Let t be (i\/16)\/((-5)\/30). What is the third biggest value in t, 1\/5, 1\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y + 5*l + 18 = 0, -10 = 5*l. Factor 5*v**2 + 5*v**y - 3*v**2 - 2*v**5 - 3*v**2 + 2*v - 4*v**4.\nAnswer: -2*v*(v - 1)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154549 - 154549 - 97*t - 1815*t to w*t + c and give w.\nAnswer: -1912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 - -99. Suppose f = -4*q + 5*q + 3*a, -q - 2 = 5*a. Suppose 10*h = 15*h - 260. What is the remainder when h is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - f - 19 = y, -2*y - f - 40 = 0. Let o(t) = -t**3 - 14*t**2 - 47*t - 25. Is o(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j - 1. Let o be n(-1). Let s = -6 - o. Is s less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -50\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.34697771 - -1.347. Round k to six decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -874959*s*u**2 + 193830*s*u + 2*u wrt u.\nAnswer: -1749918*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 366.9853 + -367. Round o to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 0 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, e: 2, l: 7, r: 2, s: 5}. Give prob of picking 2 s.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13 * -1254201\nAnswer: -16304613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (39*c**2 - 130*c**2 - 62*c**2)*(-116*c + 240*c + 9 - 123*c) in the form j*c + q*c**3 + l*c**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a - 25. Let f be g(-10). Suppose 667 = -f*l + 1732. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.109? (a) -4\/15 (b) 0.2 (c) 1 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/i**(2\/5)))**(-9)*i**(-7)\/(i*i\/(i**(-1\/6)*i))*(i**(-2\/7)*i**(-2\/7)*i)**(15\/8) assuming i is positive.\nAnswer: i**(-1649\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -3*u**7\/56 - u**6\/8 + 13*u**5\/16 + 155*u**4\/48 + 10*u**3\/3 + 3*u**2\/2 + 1090*u. Let j(f) = 0. Calculate f.\nAnswer: -2, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2732394971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67640017?\nAnswer: 67640017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1104, -4395, -9876, -17541, -27384, -39399, -53580, -69921?\n\"Answer: g**3 - 1101*g**2 + 5*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 810.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*u + 9294 = 6897 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 494778903 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(1872)*-2 + (sqrt(1872) + sqrt(1872)*2 + -4 - sqrt(1872))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-20) + 3\/(-15). Let z = s - -1. What is the second derivative of -v**2 - v + v**2 - 5*v**4 + z*v**4 wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 x when four letters picked without replacement from {x: 2, z: 6, m: 10}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, -2, -5, 0, -11, 4 in decreasing order.\nAnswer: 4, 0, -2, -5, -11, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -1 - (1 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -24. Suppose 130 + 50 = a*d. Suppose 2*l - 722 = -d. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -8, -5.\nAnswer: -8, -5, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 - -0.01. Let j = f + 6.03. Let n = -9 + j. Sort n, 5, -1\/7 in increasing order.\nAnswer: n, -1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*n - 1 = 4, -2 = -2*n. Let p(q) = -3*q. Let k be p(f). Solve k = 4*x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0*h**2 + 2*h**2 + 0.\nAnswer: 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11085 by 2217.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/24*3)\/((-5)\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25539*g = -26979*g - 131040 for g.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -677275 + 36?\nAnswer: -67723d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*((1*sqrt(396))**2*1 - (sqrt(396) + (sqrt(396) + (2 + -2*sqrt(396) - sqrt(396)))**2)) + 1)*-5.\nAnswer: -630*sqrt(11) + 17875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -5, -20, -61, -140, -269?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*(-2)\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 1013249.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -45\/4*s**4 - 19 + 0*s + 37\/3*s**3 + 0*s**2. Find the third derivative of b(i) wrt i.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 5*c = -17, -l + 3*c = 3*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 968867.9 and -0.02.\nAnswer: 968867.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exvtrvxvtxvtbvx. What is prob of sequence vrb?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.84 - -31.84. Let w = -128\/3 + 905\/21. Which is the third biggest value? (a) w (b) h (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/6*(-24)\/18. Suppose -m + 59 = r, -m - 2*r - p*r = -53. What are the prime factors of m?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 67, 75, 95, 133?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 54\/7 + 2\/7*c**3 + 54\/7*c + 18\/7*c**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2 - d - 1. Let x be r(-1). Let c be (-1 - -1)\/(x - -1). Suppose 0 = -3*o - c*o. Do 1 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 12:28 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from xxxxaaxaaaxa?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 k when three letters picked without replacement from dpddspdsyddpddydbky.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -44989.4332 to the nearest 100.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*g**3*r**2*w + 2*g**3*r*w + 26*g**3*r - 6*g**3*w - 3*g**2*w - 15262*g*r**2*w + 34*g*r*w - g*r wrt r?\nAnswer: 18*g**3*w - 30524*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 663 * -317183.\nAnswer: -210292329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2299) + sqrt(38)\/sqrt(2)*6)*-4.\nAnswer: -68*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32.564 - 0.364. Let k = n - 32.7. Which is the fourth smallest value? (a) 0.3 (b) 5 (c) k (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 + 13*b**2 + 9*b + 15. Give p(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21.74790627 + 35.8\nAnswer: 57.54790627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*x = -123*x + o + 4, 3*x + 94 = -19*o for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6*11\/198)\/((-41)\/246))\/(185\/(-10)).\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 16*v + 16. Let y be x(-15). Solve 3 = m - y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81505091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5)*(v*v\/v**(-8))\/v*(v**5)**(-29) assuming v is positive.\nAnswer: v**(-141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*r**3 + 33*r**2 + 1997*r wrt r.\nAnswer: -54*r + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6009*f + 8*f**2 - 6039*f + 12024*f)*(2*f**2 - 4*f + 4*f).\nAnswer: 16*f**4 - 48*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 - -1) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + u = -4*k - 17, 2 = -2*k + 2*u. Let x be (-6 - k) + -1 + 3. Suppose 5*q - 1653 = x*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from vbcabvpbpbbv.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 644140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110111100111011101 + 1?\nAnswer: -11110111100111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x. Let l be 5\/2 + 6501\/394. Let f(g) be the first derivative of -13\/2*g**2 + l + 0*g. Determine w(f(b)).\nAnswer: 39*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 11:08 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 5*x + 4. Determine b(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5\/5 + 763*g**4\/5 - 34584*g**3\/5 + 59972*g**2\/5 + 264368*g\/5 = 0. What is g?\nAnswer: -806, -2, 0, 4, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 6*b**2 + 5*b - 7. Give t(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1539440 divided by 307888.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in years?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*h + 2 - 1594*h**2 - 1596*h**2 - 1539*h**2 + 4807*h**2 to the form s + w*h + u*h**2 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-16 - (9 + -8)) + (-1 - -19).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (2*1)\/2. Let m be 9\/11 - 168\/(-924). Sort -11, m, j in decreasing order.\nAnswer: j, m, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 5*u + 14 = -3*u, 4*v = -3*u + 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1953.2 + 1767. Let t = l - -186. Put -1\/3, t, 7 in ascending order.\nAnswer: -1\/3, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 7 - 2 + 3 + 5*w as v + x*w and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -8*q**2 + 64*q + 4. Let u be n(8). Let d(x) be the first derivative of 9\/4*x**2 + 7\/2*x**3 + 2\/5*x**5 + 5 + 2*x**u + 0*x. Factor d(z).\nAnswer: z*(z + 1)*(2*z + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5240261890 and 19334.\nAnswer: -5240242556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 2*x + 3*t - 7, 2*x - t = -6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 5)*(6 - 1 - 3)*(0 - 1 - 1)*(f + 0*f + 0*f).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -634?\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 1258*g + 1. Let y be z(1). Suppose -5*r + y = -16. List the prime factors of r.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p - 4*p - 2*p**3 + (-2*p - 2*p**2 + 2*p)*(5*p - 5*p - 2*p) + (5*p - 3*p - 3*p)*(0*p**2 - 3*p**2 + 2*p**2).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 25\/2 of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/17 (b) -5 (c) -15 (d) 5 (e) 3306 (f) 3 (g) -2\/15\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 242.6 - 266.6. Which is the nearest to 1\/4? (a) -3 (b) -6 (c) u (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 5:53 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/5*2*2. Let g = 16 + v. Solve 0 = -2*f + i - g, -3*f + 3*i - 6 = -3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-2)\/4 - 204\/(-272))*-4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 3*i - 3*i)*((173*i - 173*i + 131*i**2)*(4*i - 2*i - 3*i) + (-7*i + 3*i + i + 1)*(3*i**2 - 5*i**2 - 5*i**2)).\nAnswer: -110*i**4 - 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*l**3 - 594*l + 282*l**2 + 18468 - 988*l + 4*l**3 - 2765*l.\nAnswer: -3*(l - 76)*(l - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.3 (b) 3 (c) -10322.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 3*j - 303, -11*j - 13775 = r - 13826 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**2\/2 - 3*y - 10. Let w be l(5). What is the derivative of 2*a**2 + 2*a**2 + 5 + 0*a**w wrt a?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -2*f**3\/3 + 340*f**2 - 57800*f + 285. Determine v, given that t(v) = 0.\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 945 divided by 5?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*g - 5 = 3, 2*f + 3*g + 2 = 0. Let y be (-1)\/(-3) + 10\/(-3). Sort -5, f, y in decreasing order.\nAnswer: f, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110818, -221628, -332438?\nAnswer: -443248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-14))\/(((-9896)\/504 - -20) + (-2)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -45121*d**2 + 4*d + 386639 wrt d?\nAnswer: -90242*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 12*i + 23. Let c = -512 - -511. Let w(q) = 1 - 2 + 2. Let r(f) = c*u(f) + 6*w(f). Differentiate r(b) wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 17*t - 17. Let d = 45 + -19. Let o(l) = 4*l - 4. Suppose r + r - 4 = 0. Let u = r + -8. Calculate d*o(x) + u*w(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 26*l**2 + 51*l + 75. Let a be u(-24). Factor 0*v + 32\/15*v**4 + 16\/15*v**a + 0 + 2\/15*v**2.\nAnswer: 2*v**2*(4*v + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 21. Let b(f) = -f + 10. Calculate the least common multiple of b(8) and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79 + -75. Let m = 76 + -76. Solve m = v*y - 5 + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 432 + -431. What is the third smallest value in x, -24\/17, -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 - -0.19. What is the closest to 1\/4 in -1\/2, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725 is divided by 239.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 1573 = 2*g - 1542, -30 = -g + 5*t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3635*v + 30808 + 273148 - 20802 = -116696 for v.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 5 + -3 + -4 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 + 80bd?\nAnswer: 80a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26135 (base 14) to base 7.\nAnswer: -536465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258 divided by 86.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*v - 16, 2*v + 3 + 7 = 3*h. Suppose -5*f = 2*g - 78, 2*f + 4*g - 14 = 14. What is the units digit of ((-2)\/(-4))\/(h\/f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + sqrt(1568) + 0 + sqrt(32) - ((sqrt(20)*-2 - sqrt(20))*6)\/sqrt(10))**2.\nAnswer: 5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 212227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 12 = 3*j. Suppose -2*l - 2*k + 7*k + 15 = 0, -j*l - 3*k = 9. Let m = l + 9. What is the lowest common multiple of 8 and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q. Let f(w) = -70*w**2 + 14. Let j(c) = -c**2 - 3. Let p(v) = -f(v) - 5*j(v). Give p(l(i)).\nAnswer: 300*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*m = -68*m + 5*i + 52, 2 = -m + 5*i for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -295 divided by -5\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 + 15*s + 41. What is the remainder when w(14) is divided by (-2)\/9 + -5*(-411)\/135?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000587 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -22. Let x(h) = 2*h**3 - 24*h**2 + 33*h + 122. Let n be x(4). Which is the closest to 0? (a) n (b) q (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j + 11. Let d be r(2). List the prime factors of (6\/4 - 1)*(d + 27).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -5. Suppose g + f*g = 10. Suppose -66 - 66 = -g*z. What is z rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22 + 3434*h**5 - 66*h + 0 + 1634*h**5 + 5075*h**5 + 25 wrt h?\nAnswer: 202860*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 763*q - 759*q + 346 = 0, -5*h - 5*q + 1755 = 0. Calculate the highest common divisor of 2660 and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*b = 25, -h + 5*b - 25 = 2*h. Suppose h = 3*p + 4*p - 5250. Let r be (-176)\/(5 + (-3746)\/p). What is r rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 59 (b) 3\/4 (c) -1.9 (d) 108.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 753*o = -746*o + 2246*o - 657*o + 1440 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b. Let r(m) be the third derivative of -17*m**5\/30 + 18*m**2. Determine h(r(g)).\nAnswer: -68*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*m + 524. Let j = 196 - m. Let v be (-10)\/j - 22\/26. Is v equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1277 - -1280. Let w(h) be the second derivative of -1\/3*h**r - 10*h - h**2 + 1\/10*h**5 + 1\/6*h**4 + 0. Determine v, given that w(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2714 a factor of 1766116502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9088.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-5) + (-17)\/(-5). Suppose -d*m + 105 = -j, 3*j + 101 = 3*m - 214. Let b be (6 + j\/(-5))*(-1)\/(-6). Is b greater than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 12, 5*h + 5*g + 11 = 1. Let t be 1\/1 + 1\/h. Solve 3*l**t + l**2 - 2*l**4 - 1 - 1 = 0 for l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5696 and 896.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -8 = -201\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 257647859 and 579.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4284765, -4284759, -4284749, -4284735?\n\"Answer: 2*w**2 - 4284767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358*k - 483*k = -50*k + 450 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 47*m - 51*m + 5*f, -10 = 3*m + f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 15\/4 of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 + 7*m + 7. Give p(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. Suppose -u = -l*u + 2. Suppose 2*h - u*j = 20, 3*h = 2*h + 5*j - 6. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i + 2. Let y(d) = -2*d - 1. Let j(h) = 3*l(h) + 7*y(h). What is the tens digit of j(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/8 (b) -0.4 (c) -194\/321\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 18 - 26 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -525 - -6293\/12. Let u(v) = 2*v**2 - 2*v - 4. Let a be u(3). Calculate the common denominator of 1 + 141\/12*a\/10 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3132.99 + 3146. Let r = k - 12. Let u = -0.01 + r. Which is the third biggest value? (a) u (b) 2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/6 in -5, 1, 0.3, -2\/39?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17183 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -2 - 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1068 and 136170.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + 2*z + 0*z)*(-156*z + 54*z + 46*z) to g + x*z**2 + o*z and give x.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39.02 + 6.78. Let l = -38 - z. Round l to 1 dp.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 + 2 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/194, 13, -4, 4, -0.3 in decreasing order.\nAnswer: 13, 4, -1\/194, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -947*j - 2056*j + 15203 - 22799 = 67479 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 485509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1257639154 to the nearest integer?\nAnswer: 35463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3218896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -102, -194, -280, -360?\n\"Answer: 3*a**2 - 101*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 9*b**5\/10 + b**4\/12 + b**2\/2 + 5*b. Is t(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 371*c + 4452. Let t be s(-12). Sort 177, -5, t, -2, 5 in increasing order.\nAnswer: -5, -2, t, 5, 177","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 1 - 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 q when four letters picked without replacement from peeepeeeeqqqpqeqeqp?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 12 = 0, -c - 2*o + 4 + 6 = 0. Solve 14*d - 14 + 3*d**2 - 4*d**3 + 5*d - 3*d**3 - 12*d**c + 11*d**4 = 0 for d.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 24*q - 20*q. Let y = q - -19. Suppose -2 - x**y + 0*x + 4*x - 2 + 0 = 0. Calculate x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -6.95.\nAnswer: -0.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 - 38*d - 96. Let z be n(-4). Solve -2*y = x + 13, z*y + 2*x = 27*y + 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/48)\/((-2)\/(64\/(-8))).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*d**2 + 217*d**2 - 401*d**2 + 266*d**2 + 196*d**2.\nAnswer: 329*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (206780\/1055)\/((-270)\/(-11)) + -9 + 1.\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21677990 to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/45*27841887\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240149 and 11966045.\nAnswer: 347015305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25, -50, -167, -320, -503, -710?\n\"Answer: l**3 - 27*l**2 - l + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50121 by 3.\nAnswer: -16707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 0*s**3 - 19 + s**2 + 12 - 9*s**3 + 7.\nAnswer: -10*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*b**5 - 2*b**2 - 52*b**5 + 3*b**3 - b**3 + 6*b**5 - b**5 - 3*b**5 + (2*b**2 + 0*b**2 - 3*b**2)*(2*b**3 - 3*b**3 + 2*b**3) + 6*b**5 - 4*b**5 + 0*b**5.\nAnswer: -b**5 + 2*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 3*f + 19, -6*f = -5*u - 0*f + 28 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 12\/11, -299, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 81, -2, 23, 5 in ascending order.\nAnswer: -3, -2, 5, 23, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144 - 140. Suppose -13*i - 21 = 8*i. Which is the nearest to 2\/3? (a) l (b) 22 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 418 + -468. Let h be (4 - 8) + 2 + (0 - -3). What is the smallest value in h, -0.4, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2. Let b(i) = -9*i**2 - 6*i - 4. Let x(a) = -10*a**2 - 4*a - 3. Let o(l) = -3*b(l) + 4*x(l). Calculate o(v(h)).\nAnswer: -13*h**4 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15566139 and 3?\nAnswer: 46698417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12257.67694734 + -10.\nAnswer: -12267.67694734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11358, -28, 2, -4, 1, 5 in ascending order.\nAnswer: -11358, -28, -4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b**3 - 2*b**2 - 8*b + 11. Is q(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85869 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -53011 and -53010 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 12 = 2*k. Let r = 4 - k. Let s = r - -5. Solve -s*u - 5*o = -u - 15, 12 = 2*u + 4*o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 49490*s**2 - 1 + 1 - 2 - 49506*s**2.\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 17*s - 8 = 0. What is the remainder when 196\/(s\/2) - (-34)\/17 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/15)\/(6\/9*-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60098?\nAnswer: 2, 151, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2590400?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 42. Suppose -z*b + 1 = -11. Solve -5*t = -b*n - 2, -2*n - 4*t + 2 = 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7878535\/13 + 606364. Let h = -323 + f. Which is the second smallest value? (a) h (b) -1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-9) - (32496\/54 - -3). Is -606 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 11. Let p = n + 2. Let g = 0.999974 + p. Round g to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (48 + -53)*(-7 + 3 + -3)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3216.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okjohjmku. Give prob of sequence hujo.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one twentieth of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2255712ml in litres?\nAnswer: 0.0002255712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -9. Suppose 2*m + 55 = -5*r, -3*m - 46 - t = -2*r. What is the units digit of (-4 + 1)\/(6\/m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**3 + f**2 - 9*f - 5. Suppose 7 = -3*w - 8. Let a(t) = 13*t - 4 - 5*t**3 + 6 + 5 - t**2. Let r(z) = w*a(z) - 7*o(z). Factor r(y).\nAnswer: 2*y*(y - 1)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/5)*d**(-7))\/(d**(1\/9)\/d*d\/(d**(-4)\/d)))**(2\/5) assuming d is positive.\nAnswer: d**(-1126\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtn when three letters picked without replacement from {m: 5, j: 1, n: 3, t: 1}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818090 divided by -4?\nAnswer: -909045\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4845)\/(-570) - (-7)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (41 + -52)*3*(-8)\/18\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - 11101110100010010?\nAnswer: -11101110100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 3 = 5*q. Is (-676)\/(-12) - q\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.456375 - -2.456365. Let b = k + 14. Round b to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 693630 and 46242.\nAnswer: 693630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07, -5\/3, -10.6, -0.3, 2, -3, -12\/5?\nAnswer: -10.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*w + 40*w - 9*w + (-w + 4*w - 4*w)*(-4 + 2 + 0) - 2*w - 4*w + 5*w)*(-2*w + 0 + 0) as i + h*w**2 + f*w and give h.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m + 19. Let v be r(4). What is the tens digit of v - 1\/((-236)\/(-238) - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 322652 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 90*p**4 + 444*p**3 - 164*p**2 - 331*p - 107. Let y(l) = 45*l**4 + 222*l**3 - 80*l**2 - 166*l - 53. Let d(n) = 8*f(n) - 17*y(n). Solve d(a) = 0 for a.\nAnswer: -5, -3\/5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2*p - 52830. Suppose 3*b - p = -3*c, -7*b + 5*b = -2*c + 11752. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1329095.\nAnswer: 5, 265819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**2 - 13*q + 51. Let u(j) = 12*j**2 + 38*j - 153. Let f(b) = -7*n(b) - 2*u(b). Let a be f(6). Calculate the highest common divisor of 61 and a.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 20358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6*c - 8970. Suppose -8*y + 6*y = -c. Let i = -207 + y. What is i rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) -1\/3 (c) -0.5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + -479?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -59*i + 2355. Let z be q(38). Solve -z = 21*l - 29 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4402123 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 32 = -2*o, -o + 0*o - o - 2*o + 84 = -4*v for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 + 11*t**2 - 8*t - 11. Let j be p(-6). Put 5, 4, j in increasing order.\nAnswer: j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 434820.927 to the nearest 100.\nAnswer: 434800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 - -12) - (-58 + -18 + 72) - 61.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2203 + -1221002?\nAnswer: -1212133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39695006 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/6? (a) 13 (b) -5 (c) -495\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 25. Suppose -12 = -4*a + 3*t, -4*t + 0*t + v = -2*a. Calculate the least common multiple of a and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4619, -9682, -14735, -19772, -24787, -29774, -34727, -39640?\n\"Answer: t**3 - t**2 - 5067*t + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -302554483 not equal to -302554482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 4*t + 35. Suppose 5*v + t*n - n - 105 = 0, 2*v + n - 43 = 0. Suppose 0 = -v*s + 10*s. Sort -4, s, -5, -3 in ascending order.\nAnswer: -5, -4, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 0 - 2 + f - 4 + 2. Let n = 17 + -11. What are the prime factors of k(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34724844 by 826782.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 347971850?\nAnswer: 347971857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7f35a (base 16) to base 15.\nAnswer: -a45ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/2*2\/6. Let s be d\/(-6) + (-45)\/(-10). Find the second derivative of 5*t**5 + 3*t + 0*t**5 - s*t + 2*t wrt t.\nAnswer: 100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133509 is divided by 12137?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2405*v**3 - 1210*v**2 + 2*v wrt v?\nAnswer: 14430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 13, 24, 37, 52?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**3 - 75*n**2 - 160*n + 193. Determine k(-16).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16992 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.828 - 15.828. Which is the closest to -166? (a) z (b) 5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -40.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 745157 equal to 745148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 15, -2*w + 5*v + 8 = -11. Suppose -2*j + 0*p = -4*p - 232, -w*j = 3*p - 267. Calculate the greatest common factor of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 15 = 13. Let k = -6 - f. Let x(u) = -15*u - 2. Let b be x(k). Put 1, -1, b in decreasing order.\nAnswer: 1, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9786384 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 - 4*b**4 - b**4)*(3*b + 4*b - 3*b - 1).\nAnswer: -28*b**5 + 7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + (-13 - 0 - (-41 - (21 - 42)))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6588 - -10285. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**2\/2 + 13434*k - 26871\/2 = 0.\nAnswer: -8957, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -20*x - 5. Let w = -80 + 202. Let n = w + -128. What is the tens digit of c(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(405) - -2*sqrt(405))*-1*3 + 4)**2.\nAnswer: -1944*sqrt(5) + 98463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - w)*(41*w + 13*w**2 - 2*w**2 - 39*w).\nAnswer: -11*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*r - 49703 = 0, 3*r - 15969 = -3*n + 13851. Do 9943 and n have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 1\/2, -5\/3, -5, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*h - 409, 5*h = 4*k + 299 + 122. Let i = -56 + h. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -1294*y**5\/15 + 4373*y**4\/12 + 3942*y**2. What is the second derivative of a(r) wrt r?\nAnswer: -10352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1696424 is divided by 2311.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 1 + 2. Let s = 2 - x. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1806 divided by -7?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*4\/180 - 2\/6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 7 = 3*v - 5*g, 5*v - 5*g = 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 13 + 7266*m**3 - 11 + 41.\nAnswer: 7266*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*h**5 + (-4*h**2 + 2*h**2 + 3*h**2)*(1 - 1 + h**3) + (-h**2 + 0*h**2 - 3*h**2)*(-79*h**3 - 34*h + 34*h).\nAnswer: 315*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6c + b92?\nAnswer: b24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 29*d**3 - 33*d**2 + 10*d + 67. Is j(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 232 = -63. Calculate the remainder when s is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-2 + (-45)\/(-10)). Let m(d) = -d - 4. Let c be m(f). Suppose -w - c = -9. Solve 0 = 3*j + 4 + w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -308 or -43\/7?\nAnswer: -43\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7290 + 7328. Sort 3, 1, j in increasing order.\nAnswer: 1, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002448039 to six dps.\nAnswer: -0.002448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/10 and -79\/78398?\nAnswer: 391990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 668, 87, -0.1 in decreasing order.\nAnswer: 668, 87, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792832 is divided by 88071.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52*x*z**2 + 2*x*z + 805*z**2 wrt x.\nAnswer: 52*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*q - 2 + 12 = 0, 0 = d + 4*q - 20. Sort d, -4, -5 in ascending order.\nAnswer: -5, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -102*b - 515. Let c be r(-5). Let h = 0 + 0. Sort 8, h, c in decreasing order.\nAnswer: 8, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.94 - 0.04. Is c <= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 - 10*f - 17. Let v be m(-9). Let l = v - -87. Put 2, 5, 3, l in increasing order.\nAnswer: l, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68 + (491 - 461) + 1 + -16\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16165 and 7102.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/3 - 82\/4*-2. Is 42 - u - (-56413 + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**2 - 53*q**2 + 14*q**2 - 16*q**2 + 89*q**2.\nAnswer: 40*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h. Let d be x(-2). Let k(u) = 23*u**2 - u + 2. Let c be k(d). Let w = -8421\/23 + c. Is -1 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 31 = -3*f, 3*f - 36 = -2*h - h. Solve -4*u - 9 - f = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1600437.9 months to decades.\nAnswer: 13336.9825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 1 - 5 = 0. Let n(k) = 19*k + 1. Let v be n(c). Is 624\/v + 1\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 26 = -4*d + 3*t, 3*t = 4*d - 22. Suppose 11 = d*b - 13. Find the third derivative of -5*a - 2*a**6 - a**2 + 5*a + 7*a**b wrt a.\nAnswer: 600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42202889 to the power of 1\/4, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-20)*x*x*x**(-1\/2)*x**(-19)\/(x**5*x) assuming x is positive.\nAnswer: x**(-87\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/(-60))\/((-62)\/(-2790)*-54).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/((-100)\/(-290)) + (23 + -9)\/(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699068455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -c8a1 (base 14) to base 4\nAnswer: -20131031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065905353?\nAnswer: 23, 29, 601, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(0 - 80*p + 3 + 83*p) + p - 2*p + 2*p.\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.26991 to 2 decimal places.\nAnswer: -67.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 22*q**2 + 7*q + 152. Determine u(-12).\nAnswer: -1372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 205023\/119 + 6\/51 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/4)\/(174\/(-64496)). Let t = 1774 + w. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3763 - -3765. Let l be 3\/(1\/(1\/(4\/12))). Solve -4*u = 2*k - 18, -3*u = c*k - 6 - l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 27. Suppose p**3 + 12*p**2 - p**5 - a*p**2 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((30\/4)\/(-5))\/((-129)\/86). Let c be (22\/(-121))\/(v - 2). Determine a, given that -10\/11*a**2 + 8\/11*a**3 + 0 + c*a = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 5767320?\nAnswer: 5767320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 374a (base 16) in base 4?\nAnswer: 3131022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - 66. Is 18 a factor of 1*206*(-2)\/u*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y + 23. Let n be g(10). Find the second derivative of -28*f + 18*f**n + 4*f**3 - f**3 + 7*f**3 wrt f.\nAnswer: 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 - -62. Solve 4*t - 8 = d*h - 2, -4*t = 4*h - 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 28004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6131 = 5*x, -3063 = -f - 10*x + 5*x. What are the prime factors of f?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21803969 is divided by 77871.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/601392 and 5\/984096.\nAnswer: 10825056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 460872 and 960150.\nAnswer: 11521800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + x = 1 - 11, 25 = f + 4*x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13969 is divided by 47.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 12) to base 2.\nAnswer: -101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 2 - 1 - -5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(2\/9))\/y**(-2\/7)*(y**(2\/19)*y)\/(y**(-6\/7)\/y*y)*(y\/(y\/y**(-4))*y*y\/(y*(y**(-4)\/y*y)\/y))\/(y\/(y**(-2)\/y))**(-4\/11) assuming y is positive.\nAnswer: y**(98495\/13167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 9:31 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*z. Sort 4, 2, z in descending order.\nAnswer: 4, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005093 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50)\/(-24) - (-2)\/8. Let z(h) be the first derivative of -4\/3*h + f*h**2 + 4\/9*h**3 - 7\/6*h**4 + 2. Factor z(j).\nAnswer: -2*(j - 1)*(j + 1)*(7*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 184*b**2 + 61*b + 74. Is t(-19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.034619 and -2.\nAnswer: -0.069238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1*m*m*m)\/m*m**5)**(-1\/6) assuming m is positive.\nAnswer: m**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5495573, 10991145, 16486717?\nAnswer: 21982289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 760 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 873, 3651, 8283, 14769, 23109, 33303, 45351?\nAnswer: 59253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 109542078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 283 = 6502. Let p be (-268)\/((-12)\/(-210)*5). Let a = p + s. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-36)*3\/(-26)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/9*-6)\/(-3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2786*t + 2722*t - 5625*t)*(4 - 3 - 3) as d + m*t and give m.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 67464809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 + -0.63. Let p = -2720 - -1335. Let u = -1387 - p. Which is the third smallest value? (a) f (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 86, 126?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 - 87.05. Sort 4, 3, a, -0.4 in descending order.\nAnswer: 4, 3, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-972)\/(-60) - 7) + -9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-8) - (-7617)\/(-252). Let l = -114519\/7 + 16401. Let r = s + l. What is the common denominator of r and -43\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 6:21 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6427 + -4693. List the prime factors of m.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 276854565 by 3.\nAnswer: 92284855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 870.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 82067 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-5)*(-310)\/93?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 22.18. Let k = 105.42 - 104. Let n = k + a. What is n rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 6. Let v be f(-6). Let z be v\/(-4)*(-18)\/(-27). Let a = -1 - z. Solve 2*x + a*x - 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 5*i**2 - 3*i - 1. Let u be d(4). Let h = 6 - u. Find the second derivative of 5*m**3 - 5*m**3 - 4*m**h + 5*m + 3*m**3 wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.5 (b) 5 (c) -1\/11 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 12*c - 6. Let i be v(-9). Let p = -19 + i. Suppose -8 = -2*r, -p*d + r - 28 = -6*d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-12 - -9) + 3 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 3 = -5*u. Let z be 2\/u - 57\/6. Let w(s) = s**2 - 10*s + 6. Is w(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*i + 18 = 0, 1 = -2*i - 5. Solve y*a - 16 + 7 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 5*o + 6. Let j be -2 - 0 - (-18)\/o. Solve -4*s + 5*h + 0*h = 9, 0 = -s + h - j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-5))\/((-1)\/10). Let v be (-1 + -3)*(-180 - -53). Let n = 496 - v. Are n and w non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + g - 6, -4*z = -6*z + 3*g + 17. Let u(v) = v - 3 + v + 8. List the prime factors of u(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0105855896 rounded to six dps?\nAnswer: 0.010586","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 6970459289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8 (b) 0.1 (c) 5\/2 (d) -4 (e) -0.142\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 8 - 79)*(-3*i**2 + 5*i**2 + 0 - 1).\nAnswer: -200*i**2 + 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*j = -155*j - 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 15*d**2 - 40*d - 26. What is r(17)?\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 652 - 1654 = -167*f. What is the remainder when f is divided by 1\/(1*2\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 83 - 81. Let l be 1434\/6 - ((-2)\/2)\/i. Suppose 11*n = -4*n + l. What is the least common multiple of n and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 1. Let r(l) = -l**2 + 6*l - 6. Let f(m) = -r(m) - 3*z(m). Let g be f(-6). Suppose g = 4*q + q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-21 - -21) - ((1 - 1) + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 + -1)*(-12)\/(-36). Solve 6 = 2*u - 5*q + 2, -j*u = 3*q - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1171092098 to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 7:51 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -11*a + 27*a - 13*a. Let w(b) be the first derivative of -b**5\/20 - 2*b**3\/3 - 1. Let p(z) be the third derivative of w(z). Calculate p(x(t)).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 3485446462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1182885.\nAnswer: 3, 5, 11, 67, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12427031 - -22777.\nAnswer: -12404254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 504\/(-70) - 2\/(-10). Let o(y) = y + 11. Let u be o(p). Find x such that 10*x**2 + 0*x**4 - 10*x**2 + 21*x**u + 6*x**3 = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78.9 - -75.9. What is the nearest to 1\/3 in 2\/13, 5, y, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**5\/20 - 4*h**2. Let k(x) = x**3 + 4*x**2 - 12*x + 2. Let z be k(-6). Let u(w) = -w**z + 11 - 11. What is u(r(q))?\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4543 and 1832717.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 11 = 3*g, -4*g - 2 = 2*o - 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 331303?\nAnswer: 331302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106464.54445829 + -5.\nAnswer: -106469.54445829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5370869?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*-7*10\/(-140)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**5 - 3*d**4 - 26*d**3 + 132*d**2 - 200*d + 96 = 0?\nAnswer: -6, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -49*j**6\/40 + j**4\/4 - 3*j**3\/2 - j**2 + 6*j. What is the second derivative of g(o) wrt o?\nAnswer: -882*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 + 95. What is the remainder when 88 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5715.\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 5, -3\/4, 95?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.1 + 0.1. Let t = -0.2565 + -0.7435. What is the nearest to -1 in c, 0.01, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1127 + -902. Is f a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186\/15 - (-9)\/15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19930 is divided by 711.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8883?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 equal to 22120\/2407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(12)\/((sqrt(36)*-2)\/sqrt(9)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.97 + 0.77. Is g <= 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41454*u**2 - 28*u - 1880999?\nAnswer: 82908*u - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 12 = -4*f + 3*b, 0 = -4*b - 4. Let q be 1\/(-4) - 9\/(-4). Let o(k) = -k. Let z be o(-3). Solve -p = -z*g + q*g, f*p = g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 159 = -5*c, -4*u = -18*c - 8*u + 646. Calculate the remainder when (-525)\/(-3) + 2*-1 is divided by c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**2 - 8*z - 2. Let o = -15 - -1. Let a be v(o). Solve -k = 4*k + a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 4:57 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 12*f - 8. Let z be d(12). Suppose 0 = 2*s + 4, -s + 4 - 15 = n. What is the tens digit of (-132)\/n + z\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.1, -1\/318, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 20*y**2 - 16*y - 16. Suppose 4*z - 3*m = -15, 0 = -2*z - 2*m - 3*m - 1. Let p(x) = -x**2 + x + 1. Give z*i(l) - 48*p(l).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 411 - -135. What is the least common multiple of x and 78?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (18 - 8) - (3 + -19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 529076872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 3, 1 in increasing order.\nAnswer: -5, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -223, -1371, -4425, -10339, -20067, -34563, -54781?\n\"Answer: -159*j**3 + j**2 - 38*j - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 9. Let q be u(8). Let y be 0*(6\/4 - q). Suppose y*z - z + 13 = 0. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.51 + 0.5. Let x = 0.41 + p. Let f be ((-23)\/25 - -1)*(-60 + 50) - 0. Which is the smallest value? (a) x (b) -4\/3 (c) f (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -31 - 2\/3*q**5 + 0*q + 5\/3*q**3 + 25\/8*q**4 + 7*q**2. Let u(j) be the second derivative of l(j). Factor u(m).\nAnswer: -5*(m - 2)*(8*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*s - 1197 + 3199. Suppose -5*a - s = -4*b, 9 = -4*b + b. Let m(i) = -i**3 - 31*i**2 - 2*i - 6. Is 14 a factor of m(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 4:56 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 8*q - 6 = 0. Suppose 3*m + 5*m + 2 + 6*m**2 + 2 - 2*m**q = 0. Calculate m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a. Let z be -4*(0 + (-3)\/4). Let g(p) = z*p**2 + 50 + 51 - 101. Give g(s(x)).\nAnswer: 147*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -299660 by -59932.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 284130554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91240919 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4938.\nAnswer: 2, 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 17*z + 16. What is the tens digit of v(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12585 - -12861.24. What is u rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10415.75191 rounded to the nearest one hundred?\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlhllwlvvkwh. Give prob of sequence vww.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 7\/10, 2\/2215, -2\/3 in descending order.\nAnswer: 0.8, 7\/10, 2\/2215, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/((-5)\/7*175\/9625)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 2*j**2 + j + 2. Let g be l(-2). Suppose -a + 5*a = g. Do 0 and a have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 19*j**2 + 14*j + 115. Let v be o(-25). Let q = v + 23234. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*r + 12, 1 - 9 = -2*w - 4*r. What is the closest to 0 in -0.2, 1, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 617334454 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(18)*-6 + 1.\nAnswer: -36*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 4*i**2 - 5*i - 4. Let l be b(-5). Let o = -15 + 25. Let z = 7 - o. Are l and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 245400071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 4. Suppose 2*s - 14 = -6. Let k be -13 + 0 + (7 - s). Does 3 divide j(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-81356)\/(-129)*378\/2709\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-3 - -7 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*f**2 + 7*f**2 - 12*f**2)*(f - f - 2*f - 5) in the form x*f**2 + n*f**3 + q + b*f and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -218 - 12224?\nAnswer: -12443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(88)*2*-5 + sqrt(88)))\/(sqrt(200) - (sqrt(200) + -3*(sqrt(200) - (sqrt(200) + (sqrt(200)*3 - sqrt(200))))))*4.\nAnswer: 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, l: 2, w: 2, v: 3, d: 6}. Give prob of sequence lltw.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/((2 - -2)\/(-44)). Let s = 90 - t. Let d(x) = -26*x**2 + 52*x**s - 25*x**2. Let p(v) = 10*v. Calculate p(d(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*v = 7*v + 25, -3*v = -4*r + 15. Solve 3*j + h - 2 = 0, r*j + 4*h - 16 = -4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 358*y - 1072. Let n be p(3). Let i be -1 + (-2 - -1) + 5. Solve 1 + 5 = i*w - 3*d, -n*d = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93009731*t**6 - 58*t**2 - 491117*t?\nAnswer: 11161167720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 1 + 0)*(5 - 5 + t) - 3*t - 4*t - t)*(3 - 3 + t**3) as j*t + y*t**3 + d*t**4 + z + q*t**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/6 (b) 3 (c) -0.6 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/11 at least 53760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 16 = -9*i, -31 - 2 = -g + 7*i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 2*z - 9. What is a(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzzxzxxzxxzx. What is prob of sequence xz?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3, 9, 0.3, -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-23)\/115 + (-82)\/10*4. Let z be 2\/10 - -34*t\/110. Let y(n) = n**3 + 10*n**2 + 3*n + 15. Give y(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpgr when four letters picked without replacement from pgpgrrpgpgrpp.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1040 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-51 - 63 + 82)*(1 + 3*k - 1) to s + t*k and give t.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 1413165\/34?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**37)\/p)\/(p*p**10) assuming p is positive.\nAnswer: p**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54573 + 58512 = 2513*x for x.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180\/(-9) - (-17 - -4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 221*i - 15. Let g(q) = -27*q + 2. Let z(a) = 9*g(a) + p(a). Determine z(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z = -22*z + 414. Let f be (-550)\/(-8) - 1\/(-4). Let p(o) = f*o + o**2 - z*o. Let a(h) = -15*h**2. Determine a(p(l)).\nAnswer: -15*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 40*j + 41*j = -233781, 28 = 4*j. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 1. Let z(o) = 3*o + 13. Let f(w) = -2*a(w) + z(w). Let p be (-1)\/3*45\/(-5). Suppose -2*s + 4 = 3*h, 3*s = -p*h + 4*s - 2. Determine f(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**3 + t**4 - 2*t**2 + 2*t**2 + 0*t**3 - 1 + 44*t - 31*t to the form i*t + x*t**2 + b*t**4 + y*t**3 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 4*j + j + (-5 + 4 - 9*j + 4*j)*((-6 + 1 + 3)*(-2 + 2 - 1) + 3 + 2 + 2))*(4 + 1 - 4).\nAnswer: -52*j - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/8 and -23\/10105108.\nAnswer: 20210216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-2)\/q*q*q))**10\/(q\/(q\/(q*q*q\/(q\/(q\/(q*q**(-2\/11))))*q*q))*(q\/q**4)\/q) assuming q is positive.\nAnswer: q**(218\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 302450 = -b, -b - 3*l = -299173 - 3301. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*((4 + -2*sqrt(720)*-6)*-6)**2.\nAnswer: 207360*sqrt(5) + 18665282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*2\/4 + -3. Let c be f - 2*-1 - -1. Suppose 14 = -c*v + 44. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 25*l - 23*l. Suppose i = 4*k - l, 2*k - 36 = 4*i - 6*i. Suppose 5*p = 3*p + i. Solve 4*h = 5*g - 19, -4*h - 3*g + p - 2 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h + 3872 = 9*h. Let v be 1 - ((-1 - -1) + -10). What is the greatest common factor of h and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a - 1. Suppose i - g = -3, -1 - 1 = 2*i - g. Calculate r(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -76*i - 2. Let h be n(6). Let o = h - -5044\/11. Which is the biggest value? (a) -1\/3 (b) 2\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 33181, 7939 in descending order.\nAnswer: 33181, 7939, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**2 - 2*x**2 + 8*x**2 - 3*x**4 + 2*x**2 wrt x?\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, s: 1, r: 1, b: 1, o: 1, t: 2}. Give prob of picking 2 t and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, y: 1, p: 3, z: 2}. What is prob of sequence zpy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - w + 3 + (w + 2*w - 4*w)*(-1 - 3 + 8))*(-2 + 1 - 1).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzuzzzzuzzzzz?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000101 + 1011111001111?\nAnswer: 1100101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evnv when four letters picked without replacement from {e: 1, n: 3, j: 5, y: 4, v: 5, x: 2}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a - 44\/13*a**2 - 6\/13 + 2\/13*a**5 + 36\/13*a**3 - 14\/13*a**4.\nAnswer: 2*(a - 3)*(a - 1)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*c - 10 = -84 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*t + 5. Let o be (4\/t)\/((-10)\/(-4)). Sort -1\/7, -2, o in decreasing order.\nAnswer: o, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.63928982 minus 12.51?\nAnswer: -31.14928982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10.5 or 0?\nAnswer: 10.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0.1, 0.11, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 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: Let t = -391 + 385.11. Let d = 6 + t. Let l = d + -0.2. Round l to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49832409 by -1510073.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 f when three letters picked without replacement from tftuvv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 64) + 17 + 3 + -5 + -3?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 6*(-6)\/(-11). Let r = -83 - -82. Is r less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3 + 8510*u**2 + 10967486*u + 3827600898 = 0. Calculate u.\nAnswer: -1847, -561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2303 + 5?\nAnswer: 2311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.52577 from 259084203.\nAnswer: 259084203.52577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1098443 is divided by 131?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 7. Let t be z(-6). Let y = 0.7 - 1. Which is the nearest to 1? (a) y (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*-5*-6*(sqrt(288) + -1).\nAnswer: -90 + 1080*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82*j**4 + 81.\nAnswer: -328*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 4. Let n be c(-2). Let b be (-81)\/(-18) - n\/4. Suppose -4*v - b = -12. Solve -v*w + 5*d + 26 = 0, 6*w - 5*d = 3*w + 29 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*-1 + sqrt(143) + sqrt(143))\/sqrt(11) + 2 + sqrt(468))**2*-5.\nAnswer: -3205 - 140*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1425 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 565757062 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 2\/9, 1638, 1\/2, 9, -0.5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 93937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 5:52 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*a - 22, -a - 3*a + n - 66 = 0. Let t(v) = -5*v + 35. Is t(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g - 1. Let r = -9 - -7. Let i(t) = -t + 1. Calculate r*i(k) - c(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 18. Let k = 89 + u. What is the greatest common divisor of 33 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4311871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106613403 - 106613404.14701278. Let c = 1.147 + a. What is c rounded to seven dps?\nAnswer: -0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 + 4)\/(-3)*-1. Suppose 0 = -3*c + 2*j + 8 + 5, 16 = v*j. What is the remainder when 27 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/(-6))\/((-10)\/30). Let p be 69\/15 - w\/20. Solve g = 2*i + 5*g, -i + p*g = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 224*w**2 - 965*w - 18716. Determine p(-220).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54631, -218394, -491331, -873442, -1364727, -1965186, -2674819?\nAnswer: -3493626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5737.1 + 5731.1251. Let v = -0.0251 + r. Put v, 0.09, -1, 2\/13 in ascending order.\nAnswer: v, -1, 0.09, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 - 4*z + 4*z + (-3*z + z + 0*z)*(971*z**2 + 742*z**2 - 2468*z**2 - 3839*z**2 - 8036*z**2).\nAnswer: 25258*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 8*c**2 + 11*c - 7. Let p be z(9). Let a = p - 7. Let v be (-1 + 0)\/(2\/(-10)). Solve u + v = -a*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2240*m**5*v**3 - 2*m**2*v**2 + 2*m**2 + 249*m*v**3 wrt m?\nAnswer: -134400*m**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 19. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 4:38 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/9*9\/(-81) + (-1736)\/378?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9607 divided by -395?\nAnswer: 9607\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*t = 22, -11*f + 8*f - 4*t + 14 = 0. Let x(b) = 16*b. Let k(w) = -64*w. Give f*k(y) + 26*x(y).\nAnswer: 32*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.14 - 0.14. Let j = 7.9 - n. Sort -2, j, -0.5 in increasing order.\nAnswer: -2, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694747?\nAnswer: 694747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 648810377 to the power of 1\/3, to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (2 - 15 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q + 3. Let j(n) be the second derivative of -5*n**3\/3 + 9*n**2\/2 - 46*n. Determine -7*g(b) + 2*j(b).\nAnswer: b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 10:15 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j. Let w(s) = -655531*s. Determine w(v(b)).\nAnswer: 2622124*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 45, 81, 117, 153, 189?\n\"Answer: 36*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 <= -0.019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -1\/2*h**4 + 0*h**3 + 0*h**2 + 0 + 24*h. Let j(o) = o. Calculate j(r(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15350*l + 16160 = 14340*l for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + -49. Let d be (-1)\/(k\/13)*-9. Suppose -3*o - 2*l + d = -l, 2*o + 2*l - 30 = 0. What is the lowest common multiple of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*r - 4*r. Let o = r - -6. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 4:25 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - y + 2604, -3908 = -3*b - y - y. Does 28 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -13. Let n(s) = 6*s + s**2 + 8 + 0*s - 5*s**2 + s**3 - 3*s**2. What is the units digit of n(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358.8 less than 1?\nAnswer: -1357.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 668\/9 - 74. Which is the nearest to 0.2? (a) 6 (b) -1\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112 + 124. Let l(h) be the third derivative of -43*h**5\/20 - 5*h**4\/6 + 8*h**3\/3 - 3*h**2. Let s be l(v). Round s to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -38. Let p = 761 - 760. Sort y, p, -1.\nAnswer: -1, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 11. Suppose 3*v - 25 = 6*v + m*d, 2*v - 4*d - 20 = 0. Let r = -1.3 + 0.3. Are r and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158639278321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + y**2 - 3*y**2)*(6*y**2 - y**2 + 0*y**2)*(-2*y + 0*y + 0*y).\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7106 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 34 + 14. Suppose 4*l + w = -550, -z*l - 6*w - 682 = -2*w. What are the prime factors of (2 - (l + -4))\/(12\/8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -10\/1483 (b) -129 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 34 - (1730 - 1729)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -48?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -411 by -411.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*t + 29. Let h(g) = 3*g**2 - t*g + 2*g**2 - 1 + 3 + g**3. Let q be h(-6). Solve -4*i = 3*z + 9, -5*z + z - q*i = 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 12. What is the lowest common multiple of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 140 + 85 = 0. Let j = x + -10. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -58, -53, -48?\n\"Answer: 5*m - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-744)\/31 - (-252)\/12. Sort -5, 241, r in increasing order.\nAnswer: -5, r, 241","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655 a factor of 82857457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-80)\/(-15)*27\/36. Let h be 1 - (1 + (-2)\/1). Suppose 0 = 5*w + 15, -c*r - r = h*w - 34. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c - 1. Is t(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29991331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-2)\/((-4)\/586). Does 49 divide (2 + -5)*11\/(-33) + a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -f - 2*q, 3*f - 198 = 2*q - 97. Calculate the highest common divisor of 41 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/378311 and -9\/4161421?\nAnswer: 4161421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*u = -5*x - 836, 2*x - 3*u + 338 = 0. Let h = -850 - -530. Let w = x - h. List the prime factors of w.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011000001 (base 2) to base 13.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 3:46 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2*1\/(-8)). Let y(r) = r**3 + 6*r**2 + 3*r - 6. Let i be y(-5). Let w(m) = 10 - 3*m + m - i. Calculate w(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 w, and 2 h when four letters picked without replacement from {w: 8, h: 7, k: 1, f: 1, r: 2, z: 1}?\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 1)*(-2*y**2 + 2*y**2 + y**2)*(34 - 5*y**2 - 34)*(3 + 0 - 4).\nAnswer: 15*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -1\/4*i**2 - 1\/2*i + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**4\/36 + 20*x**3\/3 + 1199*x**2\/6 - 4282*x. Find u such that y(u) = 0.\nAnswer: -109, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - -1. Suppose -5*s = -20, -3*g = 3*s + 2*s + 4. Let n = g + w. Solve 0*r = n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05176 less than -0.04?\nAnswer: 0.01176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 758.7308 centimeters?\nAnswer: 7.587308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 22, 54, 112, 202, 330, 502, 724?\n\"Answer: x**3 + 4*x**2 - 7*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -244.5675?\nAnswer: -1222.8375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2707 or 365614\/135?\nAnswer: 2707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.751 rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 17*s + 2. Let p be l(-15). Let w = p - -342. Calculate the remainder when w is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-15) - 2*(-3)\/(-3)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 38*m + 2. Let s be n(1). Suppose 23*j = 19*j + s. Calculate the highest common divisor of j and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3718695 from -10.\nAnswer: -3718705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -41. Suppose -4*p + 3*p + 4 = -4*z, -c*p - 5*z + 70 = 0. Let w(k) = -26*k + 67*k - 23*k - 27*k - p + k**2. What is w(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.148 + 0.748. What is the closest to 2 in 4\/5, 7, -18, y?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*a = 170 - 954. Let b be 450\/4 - (-1)\/(-2). What is the greatest common factor of a and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s = 4*s. Let p(w) = -4*w + 13*w + s*w - 4*w. Let d(k) = -k. What is 4*d(z) + p(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*l + 135, 3*l - 54 = -u + 56. Solve -l*v - 3 = -36*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -14*g + 11*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -191\/4 - -48. Let a(p) be the first derivative of -h*p + 1\/4*p**2 - 1\/8*p**4 + 2 + 0*p**3 + 1\/20*p**5. Suppose a(t) = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*n**2 - 3*n**2 - 2*n**2 to the form j + x*n + o*n**2 and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -173865.\nAnswer: 1\/173865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3573*c - 889. What is y(0)?\nAnswer: -889","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4369*a**4 - 21667*a + 498786405 wrt a.\nAnswer: 17476*a**3 - 21667","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 + 11*k**2 - 14*k + 39. Determine p(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37, 80, 123?\n\"Answer: 43*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-9)*-3*68\/(-18).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 + 5*w**3 - 28*w**3)*(-50 + 117 + 28)*(-2*w - 3*w - 2*w).\nAnswer: 13300*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3689*h - 1949*h = 1823*h - 6059 for h.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**6\/36 - 7*f**5\/30 + 3*f**4\/8 + 7*f**3\/18 - 5*f**2\/6 - 278. Suppose z(i) = 0. What is i?\nAnswer: -1, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (40 - (5 - (11 + 6)))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5668742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16328.\nAnswer: 2, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -1)\/((0 + 1)\/2). Solve -u*v = -2*v - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -50.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 972 and 12?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9391*y**5 + 34*y**2 - 49.\nAnswer: 563460*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 194, 284, 370, 452, 530, 604?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 24\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 10:00 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -275 + 281. Calculate the remainder when 55 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*k + 44*k + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-2))\/((-2)\/4). Let l(w) = -3*w - 6. Let s be l(j). Suppose 5*m = 81 + s. What is the lowest common multiple of 16 and m?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*n = -134*n + 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 84850*a + 1188880.\nAnswer: -5*(a - 14)*(a + 16984)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(343)*1*4 + 5 - 4*(-4 + 2*sqrt(175))))**2.\nAnswer: -552*sqrt(7) + 1537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 3*v - 165 = 0. Calculate the remainder when v is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * -0.1.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0747 - 168.6747. Let s = 169 + k. What is s rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -877*c**5 + 158*c + 2.\nAnswer: -17540*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104079711 divided by -2?\nAnswer: -104079711\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -103, -146, -189, -232, -275?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 7 - 3*w - 101)*(2*w - 3 + 3).\nAnswer: -2*w**2 - 188*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/8 + 460911\/132 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1287834 divided by 8.\nAnswer: -643917\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -26, -34, -42, -50?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 - -3.02. Let i = q + -2.8. Which is the smallest value? (a) i (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665888?\nAnswer: 2, 20809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 19 = -5*o, -2*v - 18 = -2*o - 6*v. Suppose 5*f - 555 = 6*f + 5*z, f + 545 = o*z. What is f rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**6\/120 + p**5\/4 - 13*p**4\/24 - 11*p**3\/6 - 8*p**2. Let b be k(14). Suppose 2*f + 3*f - 20 = 0. Solve b*l = -l - f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*j + 123*j + 62262 = -40*j + 54527 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6293 or 51?\nAnswer: -6293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 15*t**2 - 13*t - 49. Calculate y(-16).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert c91 (base 13) to base 9.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 18*n - 14*n - 3*n**2 + 5*n - 10*n + 16*n = 0. What is n?\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 45, 45, 39, 21, -15, -75?\n\"Answer: -p**3 + 3*p**2 - 2*p + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-4 + -6 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 32*n + 6296. Calculate q(-197).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 2*j**6\/15 - j**5\/5 - 2*j**4 + 540*j + 2. Suppose y(g) = 0. What is g?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**7\/9 - 23*x**6\/45 - 9*x**5\/10 - 13*x**4\/18 - 2*x**3\/9 - 14*x. Find c such that h(c) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -33.846.\nAnswer: 169.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 2\/9, -2\/13, -0.07, -2119, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.26 and 996.\nAnswer: 258.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -0.05 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -504857524*z. Let l(s) = 2*s**2. Give q(l(b)).\nAnswer: -1009715048*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from kkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2 = 2*y + 12, -y - 3 = 0. Let k = 1 + u. Let o = -20028 - -20028. Sort o, k, 5 in decreasing order.\nAnswer: 5, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/((-416)\/559) + 6\/(-16). Let b be 6\/v*(-26440)\/16. What is b rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3854 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**4 + 1232*j**2 - j**4 - 2*j**4 + 2 - 1228*j**2 + 2*j + 2*j**3 as h*j**4 + f*j + i*j**3 + k + p*j**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) 23\/3 (c) 93 (d) 2 (e) -0.2 (f) 3 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 347983.89 rounded to the nearest one hundred?\nAnswer: 348000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 119, 5, 97, -6 in descending order.\nAnswer: 119, 97, 5, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1682370100 rounded to the nearest 1000000?\nAnswer: -1682000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21326)\/(-30) + (-78)\/(-585). What is the greatest common factor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171\/(-27) + 2 + 3 + 0.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -244 or -243?\nAnswer: -243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(204)*1)\/sqrt(6))\/(-2*sqrt(50)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -44, -39, -34, -29?\n\"Answer: 5*l - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 2*n**2 + 4*n - 1. Let l be z(3). Suppose -3*w = g - 17, -42*g + 45*g = -2*w + 30. What is the highest common divisor of l and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2997*n**2 + 20*n - 48. Let c(h) = 1000*h**2 + 7*h - 17. Calculate 17*c(f) - 6*z(f).\nAnswer: -982*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 4:23 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -88\/23, -0.3, -61, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 42949.15 hours?\nAnswer: 2576949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -451504*z**2 + 595474*z wrt z?\nAnswer: -903008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25947302 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -41*q - 447. Let m be d(-11). Let g be -3 - m*(-9)\/6. Factor -2\/7*h**g + 4\/7 + 8\/7*h**2 - 10\/7*h.\nAnswer: -2*(h - 2)*(h - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/11, -8, 0.9, -1, 74, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d - 4. Let c(g) = -7*g + 4. What is 4*c(v) + 5*t(v)?\nAnswer: 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1105007019?\nAnswer: 3, 6101, 60373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2931 + 2931.00000079156. Round x to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/(w*w*((w*w**21)\/w)\/w*w))*w*w)\/((w\/(w\/w**(7\/6)))\/w)*(w*w**(-1\/6))**(-2\/25) assuming w is positive.\nAnswer: w**(773\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 868 = 4*n, 5*n - 6*n - 431 = -z. Suppose 0 = 6*s - 2*s - z. What is the highest common factor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -354, -4, -3 in decreasing order.\nAnswer: -3, -4, -354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -19*b + 33. Let g(f) = 3*f - 3. Let n(x) = -6*g(x) - j(x). What is n(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**4\/24 - 2*l**2 + 4. Let u(x) be the second derivative of w(x). Let i(z) = -6*z**2. Determine i(u(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-5 + (-3 - -4))) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105503087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y - 2*y - 2*y + 8*y. Let k be g(3). Let z(q) = 2*q**2 - 16 + 16 - q - 8*q**k. What is z(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52812 (base 12) to base 14\nAnswer: 2b67c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*a = -4*a + 4, p - a = 0. Let c = 10 - 9.97. Let s = 0.03 - c. What is the nearest to s in p, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*(sqrt(2880) - 2*sqrt(2880))*-5)\/(2*sqrt(16) - 1*sqrt(4)*-1).\nAnswer: -36*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 46. Suppose -u + 6*u - 2*m - 65 = 0, 1 = u + 2*m. Is g greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/7 - (1 + -2))\/(17*(-51)\/3468).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/1335*((-87)\/((-59073)\/(-388)))\/((-4)\/21)?\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 10*i + 514. What is c(-52)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s. Let h be x(-1). Let y be 1 - ((6 - 2) + h). Differentiate 6*t**4 + 0 - 9 + 6 + y with respect to t.\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2221013030 (base 4) to base 8\nAnswer: -2510714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u - 3. Let h be (-240)\/(-28) + -1 + (-10)\/(-7). Suppose -4*t + h = u. Solve -t*l + 0*l = 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5994 and 1296.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*c = 2*d - 39, -3*d - 3*c + 18 = 0. Let q(i) = i**2 - 1702*i - 367 + 3399*i - 1705*i + 354. Calculate q(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 173755760675853 and 1.\nAnswer: 173755760675854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -11*s**2 - 6 - 12*s**2 + 6*s + 24*s**2. Suppose m - 2*p = 14, -3*m - m - 2*p = -56. Let t = m + -20. What is u(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 2144?\nAnswer: 2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**(-2)\/o)\/o)**(1\/30)\/((o*o*o*o**2*o)\/o*o)**(-12)*(o*o**(1\/4)*o*o)**40\/(o\/o**(2\/7))**(-46) assuming o is positive.\nAnswer: o**(16433\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 430*o**3 + 3*o.\nAnswer: 430*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525259890.\nAnswer: 2, 3, 5, 29, 59, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24941 + 131*s**2 - 24941 + 49*s wrt s.\nAnswer: 262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**30)**(-21) assuming f is positive.\nAnswer: f**(-630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 463, 1759, 3919, 6943, 10831, 15583?\nAnswer: 21199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0653 - 19.2553. Let l = n + 19. Let p = -0.11 + l. Which is the second smallest value? (a) p (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -3)*1 + -17 + -2. What is the common denominator of 31\/4 and (-1 + -5)\/z + (-58)\/120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (136235\/10 - 3) + (-1 - (-9)\/(-18)). Is j < 13620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 602 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*v + 3*y - 1060, -5*v = -2*y - 1391. What is the remainder when v is divided by 158?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**5 + 28*p**4 + 40*p**3.\nAnswer: 4*p**3*(p + 2)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 2*g - 18, 5*i + 6*g - 3*g = -11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 0*w**2 - 1\/6*w**3 + 0 - 4*w. Let l(n) = -2*n. Give l(r(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 times -53.79174?\nAnswer: 2044.08612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10699\/72 - 1346\/9. What is the common denominator of -131\/36 and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2264004967 to the nearest integer?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 3*l - 48 = 2*l. Let c(w) = -w + 14. Let m(h) = -1. Let z(b) = c(b) + 6*m(b). What is the remainder when l is divided by z(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 4. Suppose 2*k = -4*p + 5 - 1, -18 = k - 3*p. Let j = 9 + k. Let d = -3 + j. What is b(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*j + 5*y, j + j - 3*y - 13 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.7 or 1333476?\nAnswer: 1333476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 501 in -35, -1, -8\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ad (base 15) in base 10?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**(-7)*c**(-4)*c*c*c*c**(-2\/3)\/c)**(-16\/7) assuming c is positive.\nAnswer: c**(-208\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-256)\/192 + 37\/(-6).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 926, 934, 954, 992, 1054, 1146?\nAnswer: 1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (-8 - 6798\/(-242))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -12*f**3\/5 + 26552*f**2\/5 + 222172*f\/5 - 159912\/5 = 0.\nAnswer: -9, 2\/3, 2221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 350 and 1897070?\nAnswer: 9485350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 0 - 15. Put k, 11, 1 in decreasing order.\nAnswer: 11, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26941\/12 + -2241. Suppose -y + 5*q - 24783 = -4*y, 0 = 5*y + 4*q - 41292. Let i = 198179\/24 - y. Calculate the common denominator of p and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28808 - 24954. Is w a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 2\/17 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 7372 = -5*n - 11*y, -4*y = 2*n - 2928. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2 + 5373678*u - 5373680 = 0?\nAnswer: -2686840, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 - 85. Suppose j*s + 64 - 205 = 0. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62039, 62096, 62153, 62210?\nAnswer: 62267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(5082\/(-72))*(-35)\/10?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-16) - (-11)\/4. Let u be (-2)\/j + (-274)\/(-6). Calculate the greatest common divisor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5803935.\nAnswer: 3, 5, 23, 16823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -24.9951. Round y to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-3)\/(-6))\/((-445)\/(-534)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2572.341l in millilitres?\nAnswer: 2572341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.89 + 6.8417. Let w = u - -0.048254. What is w rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138898764*t**2 - 150*t - 59111 wrt t.\nAnswer: -277797528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3482*m = 803*m - 141987 for m.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 947127.8 micrometers to centimeters.\nAnswer: 94.71278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 2:27 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-4)\/8) + (-20262)\/(-10140). Which is bigger: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12 - 8)*(-202)\/(-8). Let t = l + -72. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + (sqrt(56) - sqrt(224)\/sqrt(4)))\/(sqrt(6)\/sqrt(3)*5) - (sqrt(112) + (-1 + sqrt(112))*-3 + sqrt(112))**2*-3.\nAnswer: -358*sqrt(7)\/5 + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(19) - (2*sqrt(19) + 2 - sqrt(19))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 8:01 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 11894.\nAnswer: 11889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-24)*-2 + 0. Suppose -4*d = 13 + 3. Let h be 3*((-160)\/(-36) + -4). What is the biggest value in c, d, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 3*b**2 + 17*b + 10. Let o be a(6). Solve -5*p + 9 = -h, -o*h = 4*p - 2 - 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108738084 divided by -298731?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -175 divided by -5\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**6\/10 - 51*t**5\/25 - 9*t**4\/20 + 913*t**3\/5 - 2541*t**2\/5 + 2028. Suppose n(l) = 0. What is l?\nAnswer: -7, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -x - 2. Let y(p) = -5*p - 5. Let r be y(x). Find the common denominator of 25\/40*194\/r and -15\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -144 + 1?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-152)\/(-836)*(-1 + 12). Solve -4*n - 5*v = -t*v - 5, -v - 3 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18406 or -18351?\nAnswer: -18406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*l = -355*l + 3*a + 31, 3*l - 32 = 4*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 - -56530976?\nAnswer: 56530976.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 4:41 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*b + 2*l - 1, -5*b + 4 = 2*l. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 82. Let g = d - -51. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/15)*z*z**10 assuming z is positive.\nAnswer: z**(166\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 412 in 4\/7, 1, 35, 363?\nAnswer: 363","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, u: 1, r: 2, e: 2, b: 1}. Give prob of picking 1 b, 1 r, and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 7:12 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26015 at most as big as 7426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (38\/(-3))\/(4\/66). Let t = 142 + i. Let c = 96 + t. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45848?\nAnswer: 2, 11, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 15*z**2 + 2*z + 312. Determine x(12).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + (((sqrt(200) - (sqrt(200) + 1))**2 + sqrt(200))*-6 + sqrt(200))*-5.\nAnswer: 26 + 250*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 - 4*i + 4*i + (2*i - 2*i + 2*i)*(i + 3*i - 2*i) + 5*i**2 - 2*i**2 - i**2)*(47*i + 27*i + 41*i) to s + b*i**3 + c*i**2 + h*i and give b.\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100 - 238*d + 100 + 241*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/9 + 5\/((-60)\/(-7860016)). Round g to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 20*d**2. Suppose -3*i - m - 26 = 0, -3*m - 16 = 3*i - 7*m. Let u be (-6)\/(-4)*i\/(-6). Let p(r) = 35*r**2 - 34*r**2 - u + 2. Give g(p(w)).\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 268847?\nAnswer: 268849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32799906 is divided by 151?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 2:22 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(1368))\/(6*sqrt(32)))**2.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 221\/113820 and 33\/265580.\nAnswer: 796740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53874168*o**5 - 36312855*o**2 wrt o.\nAnswer: -3232450080*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 4:39 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1226 - 1226 + 3*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 8*q + 3*a = -557, -339 = -3*q + 3*a. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 29.37, 2, -0.6 in ascending order.\nAnswer: -50, -0.6, 2, 29.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(85)*-2)\/(-1*sqrt(720)).\nAnswer: -5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*j + 5*j + 9*j + 11*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 9*n - 86. Let x be i(10). Suppose x*d - 371 + 47 = 0. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-53.\nAnswer: -26.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -697640988726*g**2\/5 + 1363956*g\/5 - 2\/15.\nAnswer: -2*(1022967*g - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 11:54 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6273459030?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 85*k - 235. Let f be y(4). Suppose -2*t - g = -f, -t - g = g - 54. Solve 49*b - t*b = 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfhy when four letters picked without replacement from yhhffffh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 19281 - 38565 + 2*q + 19284. Let d(j) = -30*j**2. Calculate d(p(g)).\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87116572.00000005 + -87116568. Let x = 4 - o. Round x to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -602977\nAnswer: 1205954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37415 <= 37434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(11) + sqrt(11) + -1 + 2)**2.\nAnswer: -2*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986869940.\nAnswer: 2, 5, 7, 1123, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422469 to the power of 1\/2, to the nearest integer?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 4*q**2 + q + 5. Let l be m(5). Let y = l - 30. Suppose y*v = -0*v + 890. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6544 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: Expand (-3 - 3 + 3)*(-2*c**2 + 3*c**2 + c**2 + 2).\nAnswer: -6*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 4*x**2 + 2*x**2 - x**2 + 5*x**2 - 3*x**2. Let g(h) = -7*h**2 + 4*h. Determine -g(s) + 4*o(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 4)*(-7894 + 7894 + 398*s**3) - 4 + 3*s**3 + 4.\nAnswer: -793*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.82612 weeks in nanoseconds?\nAnswer: 28320437376000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -11*p + 123636, -4*u - 21169 = -4*p + 23807. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48 - 20) + 28 + -11 + 3\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 7*d - 4. Let z be i(-6). Let p(a) = 6 - 1 - a**3 - 2 + z*a + 3*a**2. Let v be (-6 + 1)*1 + -54 + 62. Calculate p(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 593, -286, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 b when two letters picked without replacement from fbgfgggbbfbfbbg.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5\/3, -136, -29, -1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -4, -2\/5, -1 in ascending order.\nAnswer: -4, -1, -2\/5, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)\/sqrt(4))**2*2 - (sqrt(66)\/sqrt(3))\/sqrt(11))*-2.\nAnswer: -8 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26129.2 rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-300)\/(-180)*12\/10. Let z(p) be the first derivative of -2\/7*p**3 - 2\/7*p + 5\/14*p**4 - 5\/7*p**q + 9 + 8\/35*p**5. Determine v, given that z(v) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -375.36 and 2309?\nAnswer: -866706.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-57)\/(-21) + 2\/7. Let k = u + -11. Is k > -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*d - 16 + 3204, 3*h + 2*d - 4782 = 0. Suppose -h = -16*m + 3286. List the prime factors of m.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**3 - 20*p**2 - 448*p + 2816 = 0.\nAnswer: -11, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 81 + 107. Let q be (17\/n - -1)*(-1)\/2. Factor q*x + 4\/13 - 4\/13*x**2 - 2\/13*x**3.\nAnswer: -2*(x - 1)*(x + 1)*(x + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -117\/5, 43436, -2\/7, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1131 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 5*h = 65, -1430*h + 1428*h = 5*j - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.9 + -0.1. Let q = -12.3 - f. Let n = q - -8. Which is the smallest value? (a) -0.1 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 + -73. Let g = 26 - i. What is the biggest value in g, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111 + -111100010?\nAnswer: -1000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 88\/110 - (-1 + 18\/10). Suppose n = y - 3*y + 10. Solve -4*b - y*g + g + 8 = 0, 5*g = -2*b - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**7\/10 - 3*h**6\/4 + 43*h**5\/20 - 3*h**4 + 2*h**3 - 58*h**2. Factor x(l).\nAnswer: 3*(l - 2)*(l - 1)**2*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 6*u**2 + 18*u - 11. Let v be (6 - (5 + 0))*13*-1. Let h = v + 21. Let k be o(h). Solve 0 = -k*w + 2*x + 9, -w - x + 3 + 3 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 8, 5*q = v + 17 - 34. Let z be ((-8)\/(-4))\/(v - 113\/(-37)). What is the greatest common factor of z and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 7*l. Calculate u(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -335291, -670591, -1005891, -1341191?\n\"Answer: -335300*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1891652 to four decimal places.\nAnswer: -0.1892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*t = -2*s + 18, -2*t - 4*s = -24. Suppose 3*j - 39 = t. Suppose v = 6*v - j. Solve -v*r = -3, 0*i + i + 4 = r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025 minus -2763098.4?\nAnswer: 2763098.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(16)\/sqrt(18)))**2*-3 + 6*(1*sqrt(175))**2*2.\nAnswer: 1911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -19*n**3\/3 - 8*n. Let h(o) be the third derivative of -o**5\/20 + 13*o**2. Calculate h(x(s)).\nAnswer: -4332*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1424 (base 5) to base 8.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603011498.\nAnswer: 2, 6011, 50159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 290 = 3*y, 5*y - 502 = -m - 0*m. Suppose -5*l + 0*l + y = 5*v, -2*v = l - 37. Calculate the remainder when v is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7\/40 - 1663\/360. Let j = -38\/9 - t. Suppose 7*k + 4*k + 10*k + 21 = 0. Which is the third smallest value? (a) k (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 162.7 from 0.008.\nAnswer: -162.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 0, -5*t + 46*i - 20 = 48*i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -194*j**3 + 6*j**2 - 14*j + 11. What is b(1)?\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, -4, -37, 3 in decreasing order.\nAnswer: 3, -1, -4, -6, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 8765520110 and 1.\nAnswer: 8765520111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*s + 43*s - 5055300 = 39*s. Is 39 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/((q**(1\/4)\/q)\/q)*q)\/q)**(-12\/11)\/(q**(-8\/7)*q**(3\/2)) assuming q is positive.\nAnswer: q**(-685\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43326 and 3486.\nAnswer: 303282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6116 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -0.06 (c) -4 (d) -69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 4. Let u(p) = p - 3. Let m(k) = -3*t(k) - 4*u(k). Let x(d) be the first derivative of -2*d**3\/3 + 3. Determine m(x(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14564, 14522, 14476, 14426?\nAnswer: 14372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 84*u**2 - 132*u - 9. Let j(p) = -43*p**2 + 65*p + 4. Let q = 345 + -336. Let g(k) = q*j(k) + 4*c(k). What is the second derivative of g(f) wrt f?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/189 + 423\/(-63) + 7.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 735 + -732. What is the second smallest value in l, -1, -73?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*j + 28, 0 = 2*j - 7*g + 11*g - 4. Let m(h) = 294 + j*h + 284 - 571. Calculate m(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2985*-2*(141075\/(-198))\/(-95)?\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(2 - 5 + 9)*(-4*s + 2*s + 0*s)*(-3 + 0 + 1).\nAnswer: -48*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9956.\nAnswer: 2, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by -3 + 3 + 2 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368\/(-12) - 34112\/(-3198)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -10*u + 18. Give b(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5164 is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 8. Let b = 401 - 415. Calculate the least common multiple of (-32 - -33) + b\/(-1) and r.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6780*l - 518805 - 43935 = 0 for l.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s - 27 - 16*s + s**2 + s. Is t(-11) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16650 and 124938270.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 10:49 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -35*s - 10. Let f be i(-10). Let b = -251 + f. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4130591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 167437990 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -3 + 2 + (sqrt(448) + -2 - sqrt(448)) - (0 + sqrt(448)*1 + -5*(-3 + sqrt(448))))*-4)**2.\nAnswer: -14336*sqrt(7) + 117824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*d**5\/17 + 250*d**4\/17 - 906*d**3\/17 - 5810*d**2\/17 - 2650*d\/17 = 0.\nAnswer: -5, -1\/2, 0, 53\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {e: 4, h: 5, l: 6}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 123?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 7*a**5\/60 - a**4\/24 - 11*a**3\/6 + 18*a**2. List the prime factors of r(6).\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 0.4 (b) 27 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 4:55 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4309 - 593. What is k rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6635 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-30) - (-80)\/300*(1 + -6). Which is bigger: y or -2\/3599?\nAnswer: -2\/3599","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 12, 2, 15\/8, 0.2, 5\/3 in increasing order.\nAnswer: -0.06, 0.2, 5\/3, 15\/8, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.919854 hours to seconds.\nAnswer: 17711.4744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2262.349l to millilitres.\nAnswer: 2262349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 11*x**2. Let d(y) be the first derivative of -1\/6*y**3 - 12*y - 4 + 0*y**2. Let j(p) be the first derivative of d(p). Give j(u(w)).\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 4. Let i be (1*m)\/(8\/(-4)). Let q(b) = -b**3 - 2*b**2 + 4*b + 3. Give q(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11386028 + 1?\nAnswer: -11386027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -3*x**4\/4 - 4*x**3\/3 - x**2\/2 + 2*x + 11. What is the units digit of y(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8883\/32450 - 3\/2950. Let x be ((-16)\/5)\/(1\/(-4)). Let t = 13 - x. Which is the second smallest value? (a) 0.4 (b) t (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9208*n**3 + 28613*n - 2768*n**3 - 28613*n - 30098*n**3 - 28466*n**3)*(0*n + 2*n - n) in the form g*n + p + r*n**4 + i*n**3 + b*n**2 and give r.\nAnswer: -70540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 + 979*v**3 - 78*v - 971*v**3 + 2 + 42*v + 36*v. Calculate t(-2).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-6)*u)\/u**(-7))\/(u**(-2\/9)\/(u\/u**(-4\/5)))*((u\/u**8*u)\/u)\/u**4*(u\/(u\/u**(-4)))\/u**(2\/7) assuming u is positive.\nAnswer: u**(-3548\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/109 in 0.05, 3, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t**2 + 41*t + 11. Give u(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02491818 to 4 dps.\nAnswer: -0.0249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2866*p**5 - 162*p**4 - 472652*p**2.\nAnswer: 171960*p**2 - 3888*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.26, 0, -1\/9, 2, -4, -2, 3141?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1208 and 22?\nAnswer: 13288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, h: 3, d: 1, o: 1, f: 5, j: 2}. What is prob of sequence hhv?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -u + 5*p, -p = -4*u - 10 - 2. Let m = -0.06 - -16.56. Let z = m - 17. What is the nearest to 0 in -3, z, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3 - 7.7. Let r = h - -8.5. Let k = 0.02 - 0.12. What is the biggest value in r, -2\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 393027563?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -15\/14*n**4 - 26\/21*n**3 - 27 + 0*n - 4\/7*n**2 - 2\/5*n**5 - 1\/21*n**6. Suppose v(c) = 0. Calculate c.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 418 and 83758897.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 86?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - i**2 - 3*i. Let j(t) = 207*t**3 + 136*t**2 - 12*t - 6. Let v(f) = j(f) - 4*n(f). What is the third derivative of v(m) wrt m?\nAnswer: 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 6\/9*78\/(-702) + (-3453)\/405\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 53\/(-2) - (8 - 5). Let t = u + 30. Does t = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 9. Which is the third biggest value? (a) o (b) 1.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101100100100011101 (base 2) in base 10?\nAnswer: 706845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 2. Let r(y) = 116 + 99 - 218 + 2*y. Let l(f) = 2*r(f) - 3*z(f). Let i(n) = 3*n. Calculate -2*i(c) - 6*l(c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14, -23\/9, -2\/19, -1?\nAnswer: -23\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -13. Let r = -3.4 - -3.4. Which is the second smallest value? (a) w (b) r (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22, -22, -20, -16?\n\"Answer: m**2 - 3*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4068*j + 128. Let r(p) = -20*p. Calculate r(h(o)).\nAnswer: 81360*o - 2560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18869, -75567, -170061, -302351, -472437?\n\"Answer: -18898*a**2 - 4*a + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5, 3, 1, 5339 in descending order.\nAnswer: 5339, 3, 1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3660704 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -42498 + -184b?\nAnswer: -44127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-474*f**2 + 474*f**2 - 34*f**3)*(-3 - 3*f + 3 + (1 + 0 - 2)*(0 + 0 - 2*f)) to t + c*f**2 + r*f**3 + s*f + x*f**4 and give x.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5 - 26*h**3 + 3*h - 6250*h**2 + 6255*h**2 + 3*h. Let p(o) = -26*o**3 + 6*o**2 + 7*o + 6. Determine -6*a(z) + 5*p(z).\nAnswer: 26*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {q: 6, r: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/374250 and 115\/14?\nAnswer: 2619750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v - 14. Calculate g(-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2982 and 2940.\nAnswer: 208740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -350*d**2 - 9448*d + 75. Calculate t(-27).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10212 - 2?\nAnswer: -10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*p**2 - 209475938*p - 132222298?\nAnswer: -4*p - 209475938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1626 (base 8) to base 10.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.049 * 17553\nAnswer: -860.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.5. Let x be (-234)\/15 - 4\/10. Let d be 8\/x*2\/4. Which is the nearest to y? (a) 0.3 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from {r: 1, j: 4, n: 1, u: 1, a: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 785 divide 874398940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0 = 8. Let s = 2\/1059 - 22598\/3177. Calculate the common denominator of 0 - (-33)\/p*-2 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*c**4 - 2*c**3 - 97*c**2 + 33226*c.\nAnswer: 288*c**2 - 12*c - 194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + f = 3*j - 7823, 0 = -j + 3*f + 2597. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9\/(-132)*-452 - (-4)\/22 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -636628 - 1778*y**2 + 636628.\nAnswer: -1778*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 10727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/9, 4, 3\/2, -0.6, 5\/14732?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 13*g**2 + 15*g + 30. Suppose 0 = x + 3*f + 6, -47*f + 48*f + 58 = -5*x. What is o(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 783076 and 195769.\nAnswer: 783076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 14*o - o)*(-1 + 1 - 2) + 2 + o - 2 + 61 - 36*o - 61.\nAnswer: -59*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30.3 - 30. Let l be 7 + -15 - (-87)\/12. Which is the closest to -3? (a) -24 (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 = 4*q, 2*w = -3*q - 2*w - 3. Let h = q - 1. Is (24\/(-7))\/(h\/14) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4)*8\/6. Let l = 977\/10 + -6799\/70. Which is the biggest value? (a) l (b) x (c) -0.1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.02251 and 8.\nAnswer: 8.02251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4*b - 3108, 0 = -o + 6*b - 8*b + 774. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -22. Let b = 6 - v. Calculate the greatest common divisor of b and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 31\/(-15))\/((880992\/513)\/161)?\nAnswer: -1\/160","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 621 = 4*s + 45. Let j(m) = m - 3. Let a be j(5). Suppose -a*f + 90 = 3*f. What is the greatest common divisor of s and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + r - 7893. Let z = 4641 - r. Round z to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 13 + 19*k.\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwmwaawwmwaawmcwww. What is prob of sequence ww?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 1399*p**5\/5 + 1415*p + 1029. Differentiate b(t) wrt t.\nAnswer: 5596*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 88, 100, 142, 232, 388, 628, 970, 1432?\n\"Answer: 3*a**3 - 3*a**2 + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -19*y**3 + 52*y**2 + 89*y + 488. Let o(j) = 8*j**3 - 21*j**2 - 36*j - 203. Let s(f) = -12*o(f) - 5*w(f). Let x be 3\/(-9) - 34\/6. Determine s(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.877 + -0.123. What is the third biggest value in -2, i, 5, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45c (base 14) to base 13.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5522*b*o**5 + 29*b*o - 2*b + o**2 + 2*o - 33 wrt o?\nAnswer: -110440*b*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4873429 to the nearest integer?\nAnswer: 2208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 6 = -5*k, -j - 17 = -4*k - 21. Let q(u) = 8*u + 16. Determine q(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 11*i - 24. Let z be t(-9). What is the common denominator of ((-3)\/45)\/((-4)\/654) and 39\/34*3 - (-3)\/z?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 22*v = 19*v + 4, 0 = 5*u - 5*v + 15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (0 - -1 - (-30 + 31)) + -17.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (45 - 52) + 32 + 16 + -1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -77*d**4\/6 + 3*d. Let u(z) be the first derivative of z**2 - 3844. What is n(u(q))?\nAnswer: -616*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 24701 = -y - 17998, 0 = -4*q + y + 85403. List the prime factors of q.\nAnswer: 2, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10a + -ba690?\nAnswer: -ba582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {r: 3, w: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (37 - 47)\/((-3)\/9)*-1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 664, 1337, 2020, 2719, 3440, 4189?\n\"Answer: p**3 - p**2 + 669*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**9\/168 - b**5\/15 - 2*b**2 - 2. Let p(c) be the second derivative of i(c). Find the third derivative of p(j) wrt j.\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33053\/16 + -2065. Find the common denominator of 1170\/(-28) + 4\/14 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29890 and 113582.\nAnswer: 567910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g**2 + g**3 + 5*g**3 - 5*g**3 + (0 + 0 - 2*g)*(39*g + 5*g**2 - 39*g) to f*g + q*g**2 + h*g**3 + c and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (16 - (11 - 5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + k + 3. Let t be h(4). Let b = t + 12. Find the second derivative of -4*n**3 - 3*n + 2*n**3 + n - b*n wrt n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 153?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + ((-430)\/129 - 498\/(-9)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 5*s + 6*s = 19, 4*v - 4*s - 20 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n + 4 = 0. Let u(h) = 2*h**3 - 5*h**2. Let g be u(n). Suppose 2*x = -2*x + g. Calculate the remainder when x is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 15. Suppose -4*x = -i, -5*q - 3*x = x + 25984. Round q to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 9*f**2 - 4*f + 6. Let i be n(-5). Let x = 26 - 34. Let k = x - i. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9984 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 + 16*f - 9. Let z be b(7). Suppose 5*y + 5*c = 1 - 6, -z = c. Find the third derivative of 4*j**5 + j**2 - 13*j**2 + y*j**5 wrt j.\nAnswer: 480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 + 4 + -3 + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*(-42)\/(-12) - -127.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126760 divided by 31690.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/300)\/(-2*9\/(-30)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 5*j. Let z(a) = -3*a**2 - 11*a. Let o(u) = 3*u + 16. Let k be o(-7). Determine k*l(s) - 2*z(s).\nAnswer: s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 186, -1 in increasing order.\nAnswer: -3, -1, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(13) + -2 + sqrt(13)))**2 + (sqrt(832))**2.\nAnswer: -128*sqrt(13) + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 3:25 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-34)\/119 + 4\/14. Suppose x = g - v - 16, 5*g = 3*g - 5*v + 25. Differentiate -5*q**2 - 9 - 3*q**2 + g*q**2 wrt q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17759\/4 + -4438. Let s = 0.8 + 4.2. Let b = -3 + 2.5. What is the smallest value in s, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oozzaszazo. What is prob of picking 1 s, 1 a, and 1 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -947970 to the nearest ten thousand.\nAnswer: -950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 104 + 45 = 31*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -3*k**8\/56 - 3*k**5\/20 + 13*k**2. Find the third derivative of q(y) wrt y.\nAnswer: -1080*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.4591ml?\nAnswer: 0.0034591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 2:00 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -12. Let n = a - -11. Sort 5, -1, n in descending order.\nAnswer: 5, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2299) - (1 + sqrt(2299)*3)**2 - (-1*sqrt(2299)*2)**2).\nAnswer: -29885 - 55*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 20. Let b = h - -26. Let z = b - 5. What is the highest common divisor of 112 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1298 and 944?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*f = -3*y + 33*f - 26, -3*y - 18*f + 3 = -15 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 701242236*d**3 - 4*d**2 - d - d + 4*d**2 - 701242245*d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -89*u**7\/14 + 81*u**3\/2 + 140*u - 1. Find the second derivative of a(p) wrt p.\nAnswer: -5340*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 939650 and 860.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, 228, 332, 500, 744, 1076, 1508, 2052?\nAnswer: 2720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -3*i**2 - 27*i - 69. Let w(d) = -d - 12. Let t be w(-3). What is the remainder when b(t) is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 26*i**2 + 125*i + 101. Let f be v(-20). What is the nearest to f in 3\/4, 149, -0.5, -0.4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92.07987 - 0.1.\nAnswer: -92.17987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1733, 0.2, -0.7.\nAnswer: -1733, -0.7, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 12*p + 117 = 0. Let g = 130 - p. What is the remainder when 15 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5*m - 24, -m = -7*r + 5*r + 3. Is 12 a factor of 0 - 2*(r + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 111*b**2 - 220*b + 222. Determine u(109).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00181372254 to six dps.\nAnswer: -0.001814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - u**2 - 34*u - 36. What is c(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 + (2 - 1)) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 11*q - 5. What is the remainder when n(-12) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*r**2 + 2 + (4 - 2 - 3)*(r**2 + r**2 - 3*r**2) - 3 + 3 + 2*r**2 + 4*r**2 + 0*r**2 - 3*r**2 + (-r**2 + 0*r**2 - r**2)*(1 - 4 + 0))*(-2 + r + 2).\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/(-27) + ((-260)\/90)\/(-13). Which is greater: z or 5\/252?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 434 + -314?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11493, -45987, -103483, -183987, -287505?\nAnswer: -414043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*z = 187*z + 416. Solve -4*m = z - 88 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6768 divided by 4\nAnswer: 1692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 32*y + 1. Let w be b(2). Let t = 141 - w. Suppose -k = 5*j - 157, -2*k + 21 = 3*j - t. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-43.8.\nAnswer: -21.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -17242 + (9 - 6 - 4). Let u be 10*(n - -3)\/4. Round u to the nearest one thousand.\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1996*n*p**3 + 39*n*p**2*q**2 + 105*p**3 + 196*p**2*q**2 - 2*p**2 wrt n?\nAnswer: -1996*p**3 + 39*p**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65961\/2094)\/(1*3\/6)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 19 = -4. Suppose n*y - 7 + 1 = 0. Suppose -t + 16 = t. Solve -5*g - y = t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -6*l + 4*l - 4*v, l = -4*v + 27. Solve -4*i + l = t, 4*i + 5 - 10 = -3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 + 42. Let n(w) = 4*w + 39. Let h be n(v). Let t(a) = 14*a**3 - 6*a**2 - 11*a**h - 4*a + 9*a**2. Let p(b) = -b**2 + b. Calculate -3*p(s) - t(s).\nAnswer: -3*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((48\/8)\/(-6))\/(-1*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -1\/3676 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*(-27)\/495*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-12)\/(-528)*-4*-1 and -95\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 10 = 1. Suppose -2*r + 7 + x = 0. Factor -r*h**4 - 6*h**5 + 2*h**3 - 12*h**3 - 3*h**5 + 14*h**5.\nAnswer: 5*h**3*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*l = 268*l + 169*l - 1064. Factor 1\/9*b**3 + 8\/9*b + 4\/9 + 5\/9*b**l.\nAnswer: (b + 1)*(b + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1117.2 less than 2477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 907180?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1917*o**3 - 780*o**3 - 1104*o**3.\nAnswer: 33*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 382 divide 1714798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 5*l = 189. Suppose 5*b - 4*v - 89 = 0, 5*b - 5*v - 64 = b. Calculate the greatest common divisor of b and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**6\/2340 - r**5\/780 - 2*r**3\/3 + 4*r. Let a(s) be the second derivative of c(s). Factor a(u).\nAnswer: -2*u*(u + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 148, 200, 248, 286?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 4700.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 392 - -302. Suppose j + 263 = a - 4*j, -4*j = 3*a - h. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*u**3 + 4*u**2 + 736*u wrt u.\nAnswer: -144*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4\/23)*k**14 assuming k is positive.\nAnswer: k**(318\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 28193 divided by 5320\nAnswer: 28193\/5320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 10:44 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-5))\/(16\/(-10)). Let q = 559 - 562.09. Let r = -1.09 - q. Which is the nearest to r? (a) 1\/4 (b) s (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -430.87 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, n: 11}. What is prob of sequence nqqn?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*w = -34*w - 104 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2362 - -2441. Sort 0, -5, 6, y in descending order.\nAnswer: y, 6, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37970021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6070434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.1 (c) 7 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4532, -9232, -14100, -19136, -24340, -29712, -35252?\n\"Answer: -84*n**2 - 4448*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d. Let b(h) = -h**2 + h. Let y(x) = -41*x**2 - 4*x. Let r(u) = -4*b(u) - y(u). Calculate r(v(j)).\nAnswer: 45*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -827 * 52733.7\nAnswer: -43610769.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 8:11 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41627, 337065, 1138965, 2700557, 5275071, 9115737?\n\"Answer: 42205*d**3 + d**2 - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ammammmm. What is prob of picking 2 m and 2 a?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -18, 0.4, -1, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -4d0?\nAnswer: 4cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.048 from 1.92485422509.\nAnswer: 1.97285422509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 283. Let u(b) = 184*b**2. What is h(u(c))?\nAnswer: -33856*c**4 + 283","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2634900 rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13294294260 + 13293979480.99868. Let t = -314802 - o. Let d = 23 + t. What is d rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -175, -172, -175, -190, -223, -280, -367, -490?\n\"Answer: -b**3 + 3*b**2 + b - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -19590.747 (b) 1\/3 (c) -0.1 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 1. Let r(m) be the first derivative of -m**2\/2 - m - 8. Calculate 4*r(n) + 5*s(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/(-10) + 0)*-14. Let i(m) = -m + 1. Let b(w) = -9*w + 6. Let k = -2 + 5. Let y(d) = k*b(d) + p*i(d). What is the derivative of y(x) wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*a**3 - a**5 - 1 + 1 + 2*a**4 + 2*a**5 - 2*a**4 + (-1 + 2 + 1)*(3*a**5 - a**5 + 0*a**5).\nAnswer: 5*a**5 + 13*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 9:30 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1503434 plus -0.3792?\nAnswer: -1503434.3792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -0.1 (c) -2204\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -117*h + 166. What is the units digit of g(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1125 - -772. Let i = l + 350. Let a(k) = k**3 + 5*k**2 + 2*k - 2. Give a(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 8*h + 15. Let y(l) = l**2 - 6*l + 23. Let u be y(10). Suppose -39*i + 168 = -u*i. Give f(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 183100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72 + (-3 - (-7 - 8)) + -8 + 6 + -4.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**2 + 2*h. List the prime factors of r(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 0.09619?\nAnswer: -0.10381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-1*3\/156.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -8*a + 624. Solve a*j - 16 = 72*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 345 and 41193?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4724117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 - 4 - 6\/3. Suppose b + 42 = 4*h - 4*b, c*h - b = 26. Differentiate 15*g**2 - 4*g**2 + 2*g**2 - h wrt g.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(68))\/sqrt(4)*4*-2 - (sqrt(17) + (sqrt(850)\/sqrt(2))**2 + -5 + sqrt(68) + 3).\nAnswer: -423 - 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -104?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 + 32*t + 79. Let x be m(-3). Solve 18*l - x*l = 3*s, -3*l + 2*s = -11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**6\/120 - v**5\/30 - v**4\/24 + v**3\/6 + 9*v**2. Give z(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 10337671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**5\/7 - 27*k**4\/7 - 87*k**3\/7 + 603*k**2\/7 - 240*k\/7 - 900\/7 = 0.\nAnswer: -5, -1, 2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -119918100 to the nearest 1000000.\nAnswer: -120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(-6)\/j))\/((j\/(j*j**(-1\/5)*j))\/j))\/((j**(-2\/13)*j)\/j*j*j*j*j**(-1\/8)))\/(j*(j\/j**(-4\/5)*j)\/j*j*j\/j**(-2\/7))**(-45) assuming j is positive.\nAnswer: j**(858807\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*g = -2*h - 15, 5*h = g - 42. Let y be (3\/h)\/((-3)\/18). Solve y*o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 5:39 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 76.947 * -280\nAnswer: -21545.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.499 - 246.501. Let p = f + 246.9997273. Round p to 5 decimal places.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 b when three letters picked without replacement from bffffbbbfbbb?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1278*q = -9008*q + 224170 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x - 5 + 10 - 5. Let k(t) be the third derivative of 2*t**4\/3 - 6*t**2 - 19. Calculate k(l(i)).\nAnswer: 96*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.026732 - -2.\nAnswer: 1.973268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.95 + 0.05. Let a = d + -16.7. Let c = a + 0.7. What is the closest to -2\/3 in c, 2\/13, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -376, -378, -380, -382?\n\"Answer: -2*r - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 3*h + 347 = 0, 17*l + 3*h + 40 = 18*l. Calculate the remainder when 89 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 1. Let s(g) = -4*g**3 + 5*g - 1. Let d be ((-5)\/(-3))\/((-2)\/(-6)). Let u(n) = -5*n**3 + n**2 + 5*n - 1. Let y(f) = d*u(f) - 6*s(f). Give y(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hpl when three letters picked without replacement from {h: 1, l: 2, p: 10, k: 1, e: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a + 15. Calculate z(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 + 11*i + 46)*(1 + 1 + 0).\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 265 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((-1)\/6*-3). Let j = -2.1 + 2. Which is the closest to 0.2? (a) 0.2 (b) j (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06202 times -0.2\nAnswer: 0.012404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*1)**2 + -5.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + (5 - (15 + -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/33, 1\/3, -3, -74, -342.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2690.652 weeks to seconds.\nAnswer: 1627306329.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -94\/3 (b) 5\/6 (c) -3 (d) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -153 - -67. Suppose -2*j = -l - 205, -j + 4*l + 105 = 3*l. Let k = j + m. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 7*p + 3. Let v be q(7). Suppose v*y - 72 = y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 120 = 15*b, 66*b - 61*b - 140 = -3*t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**7\/336 - d**6\/240 - 3*d**5\/160 + d**4\/96 + d**3\/24 + 5*d. Suppose i(y) = 0. What is y?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 159939 and 18486?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 15586.79501 to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136) + -2*2*sqrt(136) - sqrt(136)) + sqrt(136))*3)\/((sqrt(400)\/(sqrt(10)*-1 - sqrt(10)))\/sqrt(5)).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -642, -1 in decreasing order.\nAnswer: 1, -1, -642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -15, -2*s = -0*s - 2*l - 38. What is the remainder when 22 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + 30771\/819 - 89?\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 37 + 0*i**2 - 1\/4*i**4 + 4*i - 1\/3*i**3. What is k(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r + 2. Let a(y) = -6*y - 2. Let t(w) = -2*a(w) - 3*v(w). Let g = -9 - -7. Determine t(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(5*s + 0*s + 11*s) + 0*s - 4*s + 2*s + (-2 + 1 + 3)*(3 - 2*s - 3) - s + 4*s - 4*s.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7573049 and 6512.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -15*h**2 - 13035*h + 26068. Calculate z(2).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 0.34. Let c = a - 5.96. Let b = 366 - 362. Sort b, -3, c in descending order.\nAnswer: b, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 4:52 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 612128\/124080 - (-28)\/(-6).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -17 + 1 + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - n**2 - 2. Let v be b(2). Suppose 0 = 2*y + y + v*m - 115, 5*y - 193 = -3*m. Suppose -s = -11 - y. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180637, -180632, -180625, -180616, -180605, -180592, -180577?\nAnswer: -180560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*x - 268 + 135 + 133.\nAnswer: -353*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2710 and 105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = -y + 2*b, -3*b + 656 + 393 = -4*y. Sort y, -2\/5, -0.3, 1\/3 in ascending order.\nAnswer: y, -2\/5, -0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*b - n - 13, -5*b - 49 = 3*n. Let i be (-21)\/(-84) - 1*14\/b. Solve 4*z = -12, -i*m + 9 = -5*m - 5*z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -23*t - 266. Let c be h(-12). What is the smallest common multiple of 170 and (4 - (c - 2))*(-6)\/4?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s + 13. Let j be h(-4). Suppose 19 + j = -4*u, -20 = -2*q + 4*u. Suppose 5*k + r - 6 = 0, k + q*k - 5*r + 4 = 0. Solve -16 + k = 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 487 + -487.2. Let d = 19 + -77\/4. Which is the nearest to n? (a) d (b) -2\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 12*z - 10. Let o be v(-11). Let r be ((-5)\/(-15))\/(o\/(3*2)). Put -2, 5, r in descending order.\nAnswer: 5, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89404 is divided by 22350.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5121 (base 9) to base 12\nAnswer: -2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5143, 5114, 5079, 5038?\n\"Answer: -3*m**2 - 20*m + 5166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -9*d**3 + 58*d**2 - 189*d - 1. What is k(5)?\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2200 + 2369. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 48496679 - 2*o**3 - o - o + 48496679.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/1329 + -3973\/9303. What is the common denominator of d and -14\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*p**2*y**5 - 20352169*p**2*y**2 + 25403*y**6 wrt y?\nAnswer: -2700*p**2*y**2 + 3048360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 11*a + 2. Let l(d) = 5*d**2 - 23*d + 4. What is -4*l(x) + 9*y(x)?\nAnswer: -2*x**2 - 7*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254108*d - 254112*d - 42 = -3*b, -6*d + b = 56 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 5*r**3\/3 + 6*r**2 - 14. Find the second derivative of q(a) wrt a.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = -4*x - 61 + 116. Which is the nearest to -0.13? (a) x (b) 5\/2 (c) 0.5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1) - (-8 - -6). Factor 5*v**2 - 2*v - 3*v**2 + m - 3*v**2 - 2.\nAnswer: -(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/38 + (2576420\/665)\/77.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 167347, 167344, 167339, 167332, 167323, 167312, 167299?\n\"Answer: -w**2 + 167348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1950*c**2*l*s - 55*c**2*s**3 - 8*l*s**2 - 3*s**5 - s wrt s?\nAnswer: -330*c**2*s - 16*l - 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 51*r - 357*r**4 + 124*r**4 + 828 + 262 - 51*r wrt r.\nAnswer: -932*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -5*a**2\/2 - 5*a - 2. What is the tens digit of j(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3708925 times 3?\nAnswer: 11126775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/8)\/(2 + 1)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) 5 (b) -0.07 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119011 is divided by 72?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**4\/4 - 5*h**3\/6 - 12*h**2 - 2*h + 22. What is the tens digit of z(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -57*l + 5. Let c be u(-1). Let y = c - 60. Solve 0*a + x = -3*a - 2, -a + x = -y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -67 in -5, -9, -341, 2\/9, -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0*p**2 - p**2 + 3*p**2)*(5*p - 5*p - 2*p**2).\nAnswer: -4*p**4 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.33 + 54.67. Let u = 54.5 - i. Let h = u + -3.5. Which is the biggest value? (a) 3 (b) h (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2899.375 centuries in decades?\nAnswer: 28993.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*y - 5*y - 17, 4*y + 20 = 4*w. Suppose -l - 3*k = -0*l + 7, w = 4*l + 4*k. Solve l*c - c = 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 14 - 2. Let q(g) = 14*g**2 - 11*g + 6. Does 4 divide q(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/10 - (-4)\/10. Let n(i) be the first derivative of i**5\/120 + i**4\/24 + i**3\/3 + 2. Let g(c) be the third derivative of n(c). Calculate g(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from {i: 2, e: 1, h: 1, d: 1, g: 4}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r**2 + 0*r**2 + 3*r**2)*(-2*r**2 - 3*r**2 - r**2 + (-2*r - 3*r + 4*r)*(0*r + 4*r - 3*r)) to the form f*r**3 + h*r + g*r**4 + p*r**2 + u and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= -222857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**5\/3 + 608*w**4\/3 + 16291*w**3\/3 + 122050*w**2\/3 + 65888*w + 30432 = 0.\nAnswer: -12, -1, 634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1443 + 3?\nAnswer: -1440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 15185445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.5343 - -74.5401. Let f = -95 + 30. Let y = i + f. What is y rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -456 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (-2 + 3 + 1). Suppose -23 + s = -5*c, -2*o - 3*c = -22. Suppose 64 = -d + o*d. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 5 (b) -8\/9 (c) 159\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 3:38 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 + 12*n**2 + 2*n + 1. Let d(z) = -9*z - 5. Let i be d(-5). Let u be 48\/(-20)*i\/12. Let x be v(u). Round x to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5 = -63. Suppose -m + 6*m + 5 = -5*l, 5*m + x = l. Suppose k + 15 = l*k. Solve -3*f - 10 - k = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1727423, 3454851, 5182281, 6909713, 8637147, 10364583, 12092021?\n\"Answer: b**2 + 1727425*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -4183680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1\/(-3)*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3222 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k**2 - 858*k**3 - 11*k**2 + 3042*k**3 + 1785*k**3.\nAnswer: 3969*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6638 + 7052. Calculate the lowest common multiple of 966 and z.\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 32\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 2 - 8. Let d(y) = y**2 + 36*y + 72. Let v be d(-34). Suppose 0 = -v*t - 11 + 23. Solve -t*q - x = 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 10:13 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32220233 (base 4) to base 9.\nAnswer: -101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1792 is divided by 597.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*(-5)\/70*-2)\/(-1). What is the second smallest value in -5, -4\/11, -1\/3, s?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1511 = 2*f + 4*t + 147, 5*f - 3*t = 3397. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*l**3 - 3*l**2 - 36*l**3 - 2*l**2 + 4*l**2 + 1 - 2*l to the form t*l**2 + i*l**3 + u*l + o and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 49 - 42) + -56 + 45?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -475, -596, -707, -808, -899?\nAnswer: -980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1669 is divided by 64.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - 4*b + 5. Let w be o(2). Let u = 2 - 1. Let g = 2 + u. Solve -z - g + w = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10, -1168064 in decreasing order.\nAnswer: 1, -10, -1168064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 902.5752l to millilitres.\nAnswer: 902575.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 3\/(-6))\/(10\/20). Suppose 3*z = -0*z. Suppose -4*t + 4 = -z. Solve -s*y - 13 = -t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - (sqrt(24) + sqrt(6)))\/sqrt(2))**2*4.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 19 = 16*l - 12*l, -l = 5*v + 26 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 4 + 1 = -3*a, -5*b = -15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 652 divide 4714612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c + 4. Let f be s(0). Let j(i) be the second derivative of 0*i**2 + 0 - 1\/12*i**5 - 2*i - 1\/9*i**3 + 7\/36*i**f. Find n such that j(n) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 12, 217, 51, -2\/5, 1\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (17 - -2) + (-1)\/(-1). Suppose 2*h - 5*l - 18 = -3*l, -4*l = v. Suppose -3*d - h*m + 5 = m, 0 = -m - 2. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36112*b**2 - 432194*b.\nAnswer: 72224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2262 divided by -87?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 984 and 8662906?\nAnswer: 4262149752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 21 = -2*k. Let i = 432 + -187. Suppose c + 4*c - i = 0. What is the greatest common factor of c and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 18 + -3 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*u + 44*u = -8214. Calculate the remainder when 360 is divided by u.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 5*g - 21. Let d be z(8). What is the second derivative of -2 - 6*i**3 + 37*i**3 + 21*i**3 + 73*i**d - 41*i - 30*i wrt i?\nAnswer: 750*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -9*q - 18. Solve 0 = -0*j - q*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100010110110111110 (base 2) to base 4\nAnswer: -202312332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 9. Suppose 0 = 457*o - 459*o + 44. Is o smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69204497111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 + 4 = 0. Suppose x = 2*z - 4. Let y(w) = 9*w**2 - 2*w - 4. Is y(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(600))\/((1*sqrt(96))\/sqrt(8) - sqrt(768)*-1).\nAnswer: 25*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 790*b**2 + 2*b**3 + 0*b**3 - 1 + 1959*b**2 + 3284*b**2.\nAnswer: 2*b**3 + 6033*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30377*-3.5.\nAnswer: 106319.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*x + 6*l + 644, -5*l = 15. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.05622237 rounded to 0 dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*a**3 - 21*a**3 + 10*a**3 + (-a**2 + 0*a**2 - 3*a**2)*(-a + a + 10*a + 11*a) in the form y*a**3 + i*a**2 + z*a + r and give y.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3) - 0)\/(19\/(-285)). Solve -6*l + a*l = 2*w + 10, -2*w + 2 = -2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2312*s - 1133*s = 1148*s - 527 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -43.9.\nAnswer: 45.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9510 divided by -2.\nAnswer: -4755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11646\/13 - -896. Suppose -r + 3*r - 6 = 0. Let j(h) = -10*h + 7. Let m be j(r). Which is the nearest to 1? (a) q (b) m (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j. Let q = 279 + -277. Solve -5*d = -4*d + q*c - 2, 2*d + 2*c = j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 2*l = 28 - 2 - 74, 7*s + 3*l + 148 = 0 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18378, 73557, 165522, 294273, 459810, 662133, 901242?\n\"Answer: 18393*g**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95*h**2*v**3 + 3827*h**2*v**2 + h*v**3 - 43*h*v**2 + 90*v**3 + 3*v**2 wrt v?\nAnswer: 570*h**2 + 6*h + 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200.358514 rounded to one dp?\nAnswer: 1200.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 11:48 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 14) + -1 + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c + 7. Suppose -3*n = -9 + 21. Let r be d(n). Let j be (52\/r)\/(((-2)\/12)\/(-1)). Sort -4, 1, 4, j in decreasing order.\nAnswer: j, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*i - 137*i = -3*r + 26, -5*r + 32 = i. Let o = 2 + 2. Solve o*v - 20 = i*m + 2*m, -5*v + 2*m + 19 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 749542517 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13171108 - -159.8?\nAnswer: -13170948.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-2)*(-1 - 3). Let w(t) = 2*t - 2. Let h be w(3). Let v = h + -2. Solve 0 = -0*l - v*l - y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -460 and 15.1?\nAnswer: -6946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 + 13)\/(0 - -2). Solve 4*q + l = 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 27 + 0*a**2 + a**2 + a - 2*a**2 - 26. Let p(z) = 5*z**3 - 3*z**2 + 8*z + 3. Let x(i) = p(i) - 3*w(i). What is the second derivative of x(s) wrt s?\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1107765?\nAnswer: 3, 5, 103, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 27 + 7*a - 3*a**3 - 5*a**2 + a**3 + a**3 - 23. Let q be m(-8). Suppose -4*b - 36 = -q. Calculate the highest common divisor of 39 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 444\/28 + (-6)\/(-42).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6 - 3 + 0)*(-4*i - 1 + 1) + i + i + 0*i + (-1 + 3 - 1)*(-i - 4 + 4) - 2*i + 0*i + 4*i)*(5 - 4 + 0) to u*i + c and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.60936 rounded to one dp?\nAnswer: 128.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70118160 divided by 6.\nAnswer: -11686360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.774973 nanoseconds in minutes?\nAnswer: 0.00000000004624955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1153 + -0.1883. Let h = t - -0.3. Round h to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002076809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 360830 rounded to the nearest one thousand?\nAnswer: 361000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3985889, -7971779, -11957669, -15943559?\n\"Answer: -3985890*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 202072\nAnswer: -1\/202072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {p: 9, o: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*z + 354*z - 14934 = 1544. Solve -z*y = -21*y + 392 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -267, 16918, 8, 3.\nAnswer: -267, 3, 8, 16918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + 2 + 2 + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 2 + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 13*r - 19. What is the remainder when 41 is divided by i(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-203 - 938 + 41)*(-2*y**3 + 2*y**3 - 2*y**3 + 2*y**4).\nAnswer: -2200*y**4 + 2200*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 734*y - 2642. Calculate t(1).\nAnswer: -1908","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y - 18. Let o be k(12). What is the greatest common factor of 18 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -11. Let u = 6.9 - -107.1. Let x = -117 + u. Which is the third biggest value? (a) x (b) 5 (c) -4 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ciik when four letters picked without replacement from {c: 1, x: 2, k: 2, i: 2, d: 12, t: 1}?\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggvvy. Give prob of sequence vy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -2\/12861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 32988.\nAnswer: 164940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -11. Solve -j*f + f = -2*w - 8, -3*w + 3*f = 18 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 4*n - 2*x, -260 = -19*n + 14*n - 2*x. Let c = 191 + n. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 89, 3, 998, 0.06?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98227376 to the power of 1\/2, to the nearest integer?\nAnswer: 9911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 4*u + 56. Solve 2*z + 2 = 3*z, 0 = -3*n - 4*z + u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37 and 577.4.\nAnswer: 614.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9519 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 take away 17618543692?\nAnswer: -17618543691.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, x: 1, z: 2, m: 1, f: 4}. Give prob of sequence xft.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 8306016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8974607*i**4 + 96485*i.\nAnswer: 107695284*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9200219 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**5\/15 - m**4\/12 - 7*m**3\/6 - 61*m**2 + 2. Find the second derivative of x(s) wrt s.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1452113698 to the nearest integer?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 840446 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: Solve 0 = -l + 2*l - 56*h - 185, -4*h = -7*h - h - 7 - 5 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19053 - 19052.9965788. What is f rounded to 4 dps?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3 + 6. Let x be b - 1 - 35*-2. Suppose 2*h - 16 = -2*d, -22*d + 24*d = -h + 6. Calculate the greatest common factor of h and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from {o: 6, h: 10, e: 4}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 6:48 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 17202*p**2 + 10*p. Let q(z) = -z + 4. Let o be q(2). Let c be (1 - -9)*(-1)\/o. Let n be b(c). What is n rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4500 + 4842. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 i, 1 h, and 1 y when four letters picked without replacement from {y: 1, m: 2, h: 1, t: 1, i: 1, e: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43000211 bigger than 43000210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 175155083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and 0.01?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14904, 29763, 44626, 59493?\nAnswer: 74364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 348 = -p + 330, -8*j = 3*p - 6*p + 61 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*y**5 - 3809*y**2 - 43*y**3 + 2501*y**2 + 20*y**3 - 44*y**3 wrt y.\nAnswer: 360*y**2 - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 - 26*x**2 + 34*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**4\/4 - z**3 - z**2\/2 + 2*z + 146. Calculate v(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*y + 431*y**3 - 445*y**3 - 104*y.\nAnswer: -14*y**3 - 271*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 70?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 3:54 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 128?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12064 plus -789641?\nAnswer: -801705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of ((-2450)\/40)\/(((-44)\/48)\/11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1641 = 51*c + 1999 + 2072 - 663 for c.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583121 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23216, 23215, 23214, 23213, 23212, 23211?\n\"Answer: -h + 23217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/7)\/c**(3\/4)*(c\/c**(-2))\/c**6 assuming c is positive.\nAnswer: c**(-109\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*s + 6*s - 30. Put 0, s, -6, 4 in descending order.\nAnswer: 4, 0, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 804587183?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -725 - -729. What is the highest common divisor of 18 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2562369*d + 2562979*d + 42090 for d.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757271 is divided by 39?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -227.5246 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**5\/4 + 3*j**3\/4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1036340 = -235*b + 1031640 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 16*v**2 - 5*v - 5. Suppose -2*a + 4 = -2*u, 2*u + a = 6*u + 8. Let d(t) = -t**2 + t + 1. Calculate u*c(b) - 10*d(b).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 0*a + 23 + 4\/3*a**3 - a**2 - 1\/2*a**4. Suppose y(r) = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**2 + 4*g**2 - 5*g**2 + (3*g + 0*g - 2*g)*(3*g + 2*g - 7*g) + g**2 + g**2 + 2*g**2 + (-g**2 + 12 - 12)*(-7 - 1 - 5) as n + o*g**2 + x*g and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/240588 and 137\/828.\nAnswer: 5533524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(-2\/13))*a)\/(a*a\/(a**13\/a)))**(-36)*((a**0\/a)\/(a*a**(-1\/15)))\/(a\/(a*a**1*a))**(1\/10) assuming a is positive.\nAnswer: a**(-76478\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 s, 1 d, and 1 z when four letters picked without replacement from {j: 2, n: 2, s: 2, m: 1, z: 1, d: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = -2*z, 3*k = z + 3 + 3. Let g(n) = -3*n + 27. Let v be 40\/180 - 70\/(-9). Let r be g(v). Solve z = -r*u - 0 - 9, -2*u - 8 = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 5*v + 228 = 0, -5*y + 4*v + 257 - 76 = -3*y + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgzzigizizg. What is prob of sequence zi?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7766623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m - 2. Let v(l) = -l**2 - l + 1. Let b(x) = -h(x) - v(x). Is b(3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 349*h**2 + 22*h - 1. Let b(z) = 1046*z**2 + 72*z - 4. Calculate -4*b(d) + 13*v(d).\nAnswer: 353*d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -17. Suppose -i*y + 172 = 2*b, -2*b = -2 - 6. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1140510000 to the nearest one million.\nAnswer: -1141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5314 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 9:42 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g**4 - 12*g**3 - 1006*g**2 - 1908*g + 2925 = 0. What is g?\nAnswer: -25, -3, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*b**2 + 87*b + 65*b**2 + 86*b + 71*b**2 - 194*b**2.\nAnswer: 3*b**2 + 173*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-54 + 18 - 194)*(-n + 4*n - 5*n) to the form p*n + i and give p.\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 57422229 and 57422223 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b. Suppose 14 = 27*l - 256. Let v(f) = 4*f - 1. What is l*q(g) - 2*v(g)?\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 - 3*u**2 - 6*u + 7. Let j be g(3). Suppose 4*y - 2*l - 152 = 0, y - 3*l - j = 12. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -23*m + 33*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 362 = 122. Let v be (-21)\/2*2\/(-3). Let t(p) = p**2 - 6*p - 3. Calculate the least common multiple of h and t(v).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 188761*b**3 + 3962*b**2 + 1981*b. Let j(t) = 286*t**3 + 6*t**2 + 3*t. Calculate -1981*j(f) + 3*p(f).\nAnswer: -283*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 39 + -14?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.04, -0.4, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99213 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(0 + 2 + -2). Suppose z = c + 6*c - 287. What are the prime factors of c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*m**5 - 11022*m**4 + 48*m**3 - 37*m**2 - 14960*m - 3 wrt m?\nAnswer: 240*m**2 - 264528*m + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 18.7. Which is the closest to 4? (a) z (b) 1\/4 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**4 - 703*a**3 + 2*a**2 - 7671*a wrt a?\nAnswer: -24*a**2 - 4218*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/4)\/(1\/2). List the prime factors of (10\/l)\/((-2)\/9).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -570813395 and -116?\nAnswer: 570813279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2124077641160 minus 0?\nAnswer: -2124077641160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 13. Let x be (28\/8)\/7*t. Let m be (-4)\/6 + (-16)\/x. Solve m = 2*y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7695807*v - 15391403*v + 7695588*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/3*33003\/76.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5996 + -5858. Calculate the remainder when 566 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwpwxwewepwpuxeeeew. What is prob of picking 2 p and 1 u?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(108) + -2)**2*4.\nAnswer: -192*sqrt(3) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 554, 552, 564, 590, 630, 684?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4927866 by 821311.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/11280 and -93\/1390.\nAnswer: 1567920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2 + 4*h + 3. Let k(y) = 2*y**2 - 2*y - 1. Let d(i) = 5*k(i) + 3*l(i). Calculate the remainder when d(-5) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*z = -4, d - 3*z - 19 = -d. Let i = -1188 - -1188. Solve i = d*h - 3*h - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 13*r**2 + r - 5. Let o = -6616 - -6603. Determine v(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 80.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 8*u + 7. Let o be s(11). Is o != -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2. Let h(s) = 9677*s**2. Calculate h(v(k)).\nAnswer: 9677*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 3 - 2 + 0*o - 1. Let k be (-158)\/(-18) + (-6)\/(-27). Let z be a(k). Calculate the highest common divisor of 24 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 5*w + 3. Let d be u(-5). Suppose 2*r - 3 = 5*r, 5 = -d*b - 2*r. Sort b, 0, 3.\nAnswer: b, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 7*f + 41. Let j be b(-4). What is the remainder when (1\/j)\/((-7)\/1512) is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 44, 31, 81 in descending order.\nAnswer: 81, 44, 31, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14, 69, 214, 421, 690, 1021?\n\"Answer: 31*j**2 - 10*j - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87175 and 2702425?\nAnswer: 2702425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/(-14)*-2*17. Let t be 66\/(-9)*2\/((-44)\/1683). What is the greatest common factor of t and z?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.032?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o**3 + 16*o**2 + 108*o + 144. Let w(b) = -29*b**3 - 64*b**2 - 436*b - 576. Let z(m) = 25*d(m) + 6*w(m). Factor z(k).\nAnswer: (k + 4)*(k + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 3*m - 499 + 398 = 0, 4*m - 2*m - 851 = 29*i for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 12*t**2 + 328*t - 1520. Let m(l) = 2*l**2 + 46*l - 217. Let i(y) = 20*m(y) - 3*v(y). Factor i(b).\nAnswer: 4*(b - 11)*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/50718 and 97\/6.\nAnswer: 50718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 28. Let p(h) = -26*h + a*h + 5*h. Let m(g) = -6*g + 5. Let l(r) = -5*r + 4. Let d(n) = 5*l(n) - 4*m(n). Determine p(d(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(0 + 3 + -2). Suppose -h + 3 + 3 = p. Suppose l = h*l - 85. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*b - u, -407*u - 304 = -3*b - 445*u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000042295 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-16)*10 + -3. Let o = -144632.2 - -144632. Let r = 0.2 - -0.3. Which is the nearest to o? (a) 5 (b) v (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-476)\/(-8) + -4)*(0 + -1)\/(314\/628).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -35*w**5 + 11910*w**4 - 770705*w**3 + 903690*w**2 + 4338340*w - 1295400 = 0.\nAnswer: -2, 2\/7, 3, 85, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 4. Suppose -4*a + 2*c = -14, 0*c = -3*a + 5*c. Suppose -3*y = -4*l - 0 - 16, 3*y + 20 = -a*l. Solve -z = -y*j - j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/(-18) - (-6)\/3)\/(10\/30)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (25\/10)\/(-2 - (-3237)\/1586). Which is the nearest to 1? (a) -0.5 (b) k (c) 9.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.8394 (b) 0.3 (c) 10\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 958229618 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -9*g. Let l be s(1). Let a = l - 11. Let r = -7 - a. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-20)\/(-48)) - -2. Is q at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116183 and 446.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 - -1034063630?\nAnswer: 1034063606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -3\/7 in descending order.\nAnswer: 0, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcp when three letters picked without replacement from bcpkg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.356 + -0.056. Let v be 1\/2*8\/2. Which is greater: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 30*l + 20. Calculate n(29).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 11000210?\nAnswer: -11000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*b + 4*d - 2, -2*d = 5*b + 30. Let s(q) = -2*q + 7. Let j be s(-8). What is the units digit of b*3\/6 + j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = m + 3439 - 800, -m - 4*h = 2647. Let g = m + 5564. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 75 = 15*a, -16*a + 13*a + 15 = -14*f - 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vweevyovwyvo. Give prob of sequence vvyy.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.22 - -13.78. Let j = 10 - k. Let g = j - 0. Which is the smallest value? (a) g (b) 3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 967753.5 millimeters?\nAnswer: 967.7535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f - 1. Let b be g(-1). Let p(r) be the first derivative of -10\/3*r**3 + 0*r + 7\/2*r**4 - 6\/5*r**5 + r**b + 1. Factor p(l).\nAnswer: -2*l*(l - 1)**2*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**4\/48 - k**3\/8 + k. Factor w(p).\nAnswer: p*(p - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/(-12))\/(2\/3). Let w be r*-2*(-2 - 9). Let p = w - 28. What is the smallest common multiple of p and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150449 divided by 790?\nAnswer: -150449\/790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -142, 1\/3, -0.4 in descending order.\nAnswer: 1\/3, -0.4, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-186)\/42 - -6)*7. Which is smaller: -46 or n?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/435490?\nAnswer: 1\/435490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 830, 1663, 2506, 3365, 4246?\nAnswer: 5155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 1:17 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11131121 - -1134?\nAnswer: -11124432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3 + (-50)\/(-30). Let i(g) = g**3 - 4*g**2 + g - 1. Let t be i(4). Solve -q = -t*q + f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1987.\nAnswer: 1\/1987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 149?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.74 + 7.34. Let b = 59 - 56. What is the nearest to b in 0.5, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 12:05 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 304, 630, 982, 1360, 1764, 2194?\n\"Answer: 13*f**2 + 287*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 491\/20 + -91139\/3780. Calculate the common denominator of 11\/210 and t.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -50 - 20*d**2 - 20*d**2 + 29*d**2 + 50. Let q(y) = 2*y + 16. Determine q(f(k)).\nAnswer: -22*k**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-39))\/((-3)\/65).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*w - 262 + 360 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 3*o = -15, -3*i + 788*o - 792*o = 25 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -331264.\nAnswer: -331262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 136103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92903 is divided by 18578?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 4, -3, -2, 6, -6 in ascending order.\nAnswer: -6, -3, -2, 4, 6, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1960 by -2.\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001 - 10?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 - 14*k**2 - 24*k + 18. Is u(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 + 13*o + 4. Calculate the least common multiple of 10 and b(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 12:57 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 796172321, 796172323, 796172325, 796172327, 796172329?\n\"Answer: 2*q + 796172319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-1)*3\/6. Suppose -60 = -5*l + 5*h, -k*h = 2*l - 50 + 1. Suppose l*v = 20*v - 216. Calculate the greatest common factor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1218866 is divided by 202?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 209*c + 10. Let m(r) = -210*r - 7. What is -6*m(u) - 4*w(u)?\nAnswer: 424*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 97994109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230406 is divided by 78?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358242 is divided by 2541.\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjkjjjjwjkj. What is prob of sequence kk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 791, 2676, 6345, 12392?\nAnswer: 21411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(896) - ((sqrt(896) + sqrt(896) + -1*sqrt(896) + sqrt(896))*-5 + sqrt(896)))\/(5*sqrt(112) - sqrt(896)\/sqrt(8)))**2 + -3.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -29. Suppose 3*v = -p*v - 5*v. Suppose v = -3*f + 2*h + 35, 2*f = f + 2*h + 9. Solve f = 2*k - 0*k + u, -5*k + 34 = 3*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -58 - 7?\nAnswer: -5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -151\/39 + 10393\/156. Are 64 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276737862?\nAnswer: 2, 3, 46122977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(13) - (sqrt(208) + -4) - (sqrt(104)\/sqrt(2))\/sqrt(4) - (sqrt(1573) + 0 + sqrt(1573) - (3 + sqrt(13) + 2 - sqrt(13))))**2.\nAnswer: -468*sqrt(13) + 8874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -975 + 2152. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 11:45 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 10. Suppose 3*u + 8 = s*p + 5*u, -5*p = 5*u. What is the third derivative of 0*q**6 + p*q**2 - 2*q**2 + 2*q**6 wrt q?\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12522073*5\nAnswer: 62610365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n + 0*n**2 - 13 - n**2 - 12*n + 4*n. Let y be c(-10). Let w be 1*(3\/y + 0). Round w to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.7. Let r = 0.533 - i. Let z = r + -0.017. Round z to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (6 - 9 - -5). Suppose 3*f + 171 = 3*k, -r*f + 54 = 2*k - 44. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 5*b**2 + 5*b - 3. Let l(w) = 65*w + 8. Let y be l(-2). Let f = -15 - y. What is the remainder when f is divided by r(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 3*b - 2*b)*(6*b**2 - 3*b**2 - 2*b**2 + (-3*b**2 - 2*b**2 + 3*b**2)*(3 + 2 - 6)) to the form i*b**3 + c*b**2 + v*b + h and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*g = 30, -12*n - g = -9*n - 47. Suppose 0 = -n*v + 102994 - 13922. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - (1 + sqrt(343))) + -3 + sqrt(343) + (sqrt(343) - 3*1*sqrt(343)) + sqrt(343))**2 + 4*(4*(sqrt(343) + 1) + sqrt(343))*5.\nAnswer: 96 + 700*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 17*z**3 - 13*z + 12. Let r(v) = -4*v**3 + 3*v - 3. Let o be 1190\/(-55) + -4 + (-4)\/11. What is o*r(q) - 6*n(q)?\nAnswer: 2*q**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*o - 68 = 0, -16 - 16 = -4*h - 4*o. Let q = -67 - -71. Calculate the lowest common multiple of q\/1 - (8 + -10) and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 104284520*j**3*l - 222970849*l wrt j?\nAnswer: 312853560*j**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 - 1435*k**2\/3 + 4278*k.\nAnswer: k*(k - 1426)*(k - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 10:55 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -7*a**4\/3 - 110*a**3\/3 - 523*a**2\/3 - 248*a - 108 = 0.\nAnswer: -54\/7, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**4 - 15870*t**3 - t**2 + 31730*t**3 - 15861*t**3 + 13*t**2 to b + g*t**2 + v*t + y*t**3 + h*t**4 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 10 = 4*s - u, s + u = 2. Suppose 6*r - s*r - 6 = 0. Suppose 7*d = r*d - 5*o - 5, 3*o + 12 = 0. Solve 2*m - 25 = -d*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.12975 kilometers to centimeters.\nAnswer: 5912975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -873*g. Let b(u) = 959*u**2. Give f(b(i)).\nAnswer: -837207*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-3*q + 2*q + 0*q) + (-2 + 0 + 3)*(-2*q - 1 + 1) - 170*q - 210*q + 66*q + (0 + q + 0)*(1 - 1 - 1).\nAnswer: -318*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-4) + 3\/4. Find k, given that -2*k**i + 3*k**3 - 2*k**4 - 2*k**2 - 5*k**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21722674 divided by -5\nAnswer: -21722674\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 6:50 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Let l(v) = 5*v**2 + 0*v + 4*v - 2*v - x - 6*v**2. Give l(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6*v + 45 = 0. Let j = 2 + 1. What is the remainder when -1*(-59 + (3 - j)) is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/10)\/(26\/(-65)). Suppose k + 5 = m*g + 52, -8 = 4*g. List the prime factors of k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 337*x**2 + 7*x - 14. What is i(1)?\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 100 = -2*w. Let i = -15 - w. Put 3, i, -2 in decreasing order.\nAnswer: i, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p - 7. Let y be r(4). Suppose -10*k = -y - 11. Solve 1\/6*u**k + 1\/2*u + 1\/3 = 0 for u.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1) + 27 + -27.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + 4. Let b = k - 5. What is the least common multiple of b and (-42)\/126*(0 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**2 + 0*o**2 - 3*o**2 + o**2.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 879\/4 - 769113\/3500. Let v = g - 20152\/7875. Let d = 1853\/96 - 31\/32. Calculate the common denominator of v and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.11 and -0.5.\nAnswer: -1.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 7*w**2 + 5*w + 11. Let b be r(6). Let i = 15 + b. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-2*(-3)\/(-114)). Let o be ((-10)\/8)\/(19\/l). What is the biggest value in 2\/7, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1765092649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/1300 and 19\/24.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1383325185*u**2 - 822810328 wrt u.\nAnswer: 2766650370*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*i = -928*i + 6085 + 11805 + 14414 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/(-21))\/(54\/84)*-3. Let t be 1*(z - (-2 - 0)). Find the common denominator of -101\/12 and 57\/99*t + -1.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*m + 6, -2*d = 2*d + 4*m - 8. What is the third derivative of 7*k - 7*k + 3*k**6 + k**6 - 3*k**d wrt k?\nAnswer: 480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2*y + 4, 6*y - 3*y = 2*p + 6. Let d(a) = 2*a**2 + 2. Determine d(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2*m = 3, 52*x + 6 = 47*x - 3*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 9*b - 2*b)*(-120 - 13 + 12 - 11).\nAnswer: -1056*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/15*120\/(-432)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -22750?\nAnswer: -22749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -9*g**2 + 7*g. Let y(i) = 5*i**2 - 4*i. Let a be -8 - 2\/4*-2. Let s = -1 + -3. Let u(b) = a*y(b) + s*w(b). Let z(p) = -4*p**2. Calculate u(z(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 34 * 1\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g - 2*p = -42, 5*p - 55 = -5*g. Suppose 5*o - 5*d = -10, 4*o = -4*d + 42 - g. Suppose o + 9 = 3*u. Solve 6*q = u*q + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -614 (base 7) to base 6\nAnswer: -1225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121 - 126. Let g(d) = -38*d**3 - 24*d + 2. Let z(a) = 76*a**3 + 48*a - 5. Let h(j) = r*g(j) - 2*z(j). What is the second derivative of h(o) wrt o?\nAnswer: 228*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 189 and -0.107630186?\nAnswer: 189.107630186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.554 - 0.054. Let m = -0.42 - -31.42. Let b = -31 + m. What is the closest to b in 2, 0.4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 2*l + 2. Let k be c(-2). Let b be (-10)\/(0 - (4 - k)). Let f(j) = -j - 14. Let w be f(-16). Solve x = b - w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*f + 68*f - 38*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 divided by 5?\nAnswer: 101\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*a + 357 + 755 = 0, -2*b - 5*a = -458. Calculate the greatest common divisor of b and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 - 2*p**2 + 3*p + 2. Let y be a(-2). Suppose 207 = 2*i + i + 3*q, 0 = i + y*q - 78. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 230 and 23.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 3 + 2 + -1. Let d be (42\/(-56))\/(3\/h). Let b = 2.2 + 0.8. Sort -0.04, b, d.\nAnswer: d, -0.04, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - 2b87e?\nAnswer: -2b874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001000000 (base 2) in base 11?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*(0 + (-1*sqrt(12))\/sqrt(4)).\nAnswer: -2 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-30))\/(16\/20). Put -4, -1\/13, 4, x in decreasing order.\nAnswer: 4, x, -1\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 189?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = -2*b + 214*g - 229*g, -5*b - 4*g = 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**3\/2 - 29*r**2\/2 + 247*r\/2 - 507\/2 = 0.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105789 divided by -6.\nAnswer: 35263\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**2 - 3*m - 2. Suppose 456 - 88 = -5*x - 3*q, 5*q = x + 68. Let j = 144 + x. What is the remainder when j is divided by o(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51777 + 51777.29209. What is c rounded to 2 dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434611.\nAnswer: 434611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -98005 - -2719252.66.\nAnswer: 2621247.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2466)\/822)\/(1\/98*-6).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 9 = -4*w, w = -5*s + 5*w + 21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16.02 + 2.314\nAnswer: 18.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 57*i**2 - 1528*i - 26. Calculate v(20).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 86, 97, 128, 185?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 153219, 153218, 153215, 153210, 153203, 153194, 153183?\n\"Answer: -q**2 + 2*q + 153218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/29619 + 20765\/30181761. Let z = s - 71332\/3057. Find the common denominator of z and 47\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stossvt. What is prob of sequence sst?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k**3 + 3*k**3 + 9*k**3)*(k - 2*k + 3*k) - k**4 + 0*k**4 + 0*k**4 to l + r*k + o*k**2 + m*k**4 + d*k**3 and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**(2\/3)*m))\/m*m)\/(m**(1\/7)\/m))**(-9\/5) assuming m is positive.\nAnswer: m**(51\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117521437\/24 - -4892131. Let k = 4593 + j. Calculate the common denominator of k and (26\/12)\/(279\/62).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-39)\/18 - (-1425)\/(-450).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -11\/27 (b) 2 (c) -0.012\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5 = 5*j - 4*j, 5*o = -4*j - 8. Let p(x) = -x**2. Let m be p(0). Suppose m = j*a + a - 40. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ae71a8 (base 15) to base 7.\nAnswer: 130526351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*i**2 + 8*i**2 - i - 4*i**2 - 2*i**2 + 2*i**4 to the form j*i**2 + x*i**4 + o*i**3 + h*i + t and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 33718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1710*z**5 - 707*z**5 - 683*z**5 + 4*z**3 - z**5 - 4*z**3 + (-z**4 + 5*z**4 - 3*z**4)*(3*z - z - 3*z) + 4*z**5 - 6*z**5 + z**5.\nAnswer: 317*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 205*v**3 + 1295*v**2 + 482*v**3 + 479*v**3 wrt v?\nAnswer: 6996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 4*n**2 + 11*n - 2. Determine z(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 3*j**2 + 3*j. Suppose 12 = -3*q, 14 + 0 = -3*h - 5*q. Let v be 68\/18 - h\/(-9). Give b(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/36900 and 103\/540.\nAnswer: 110700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2 + r + 0)*((-4 + 4 - 1)*(r**4 + 0*r**4 - 2*r**4) + 3*r**4 - 2*r**4 + 2*r**4).\nAnswer: 12*r**5 - 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6724020 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -6. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105300434?\nAnswer: 2, 52650217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 5*t - 2. Let g be v(-5). Which is the second smallest value? (a) g (b) 2\/3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 60 = 3*m, 84 = 7*g - 3*g + 3*m. Suppose -t = -4*x + 29, -3*x + 0*t + t = -21. Calculate the highest common factor of x and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*b + 3*b + 4*b - 3234 = -51*b for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 640893 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 - 758*j - 33053. What is d(-50)?\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**7\/35 - x**5\/15 + 5*x**2. Find the third derivative of w(j) wrt j.\nAnswer: -144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -183702 plus -4?\nAnswer: -183706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 8*i**2 + 2*i + 18. Let c be o(-8). Suppose 6*x = -c*x + 8. What is the remainder when 1\/3*-3*(x + -24) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -40, -156, -348, -616, -960, -1380?\n\"Answer: -38*d**2 - 2*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n + 2. Let k(g) = 3*g + 2. Let o(h) = -3*d(h) + 4*k(h). What is o(-6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49490947 to the power of 1\/2, to the nearest integer?\nAnswer: 7035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 - 31*l + 15. Let x be g(15). Let p(t) be the first derivative of x*t**2 - 2*t + 2\/3*t**3 + 1. Factor p(y).\nAnswer: 2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 - 2947224031\nAnswer: -2947224088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -448894.3182829 + 4?\nAnswer: -448890.3182829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + 2*j)*(-11 - 81 - 9) + (-12 - 6 - 2)*(0*j + 0*j - 2*j).\nAnswer: -162*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 2211211223131?\nAnswer: -2211211223130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 - 93*k + 45. Suppose 0*z - 4*z + 66 = -2*a, -a - z = 30. Calculate the remainder when 166 is divided by l(a).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-14)\/(-28)*(-6266)\/5. Let x = r - 626. Which is the third smallest value? (a) -0.3 (b) 17 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzhzzzzhhzhhzzzzzhz. What is prob of sequence zhzh?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 9*h + 44 + 67 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 39 - 22. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*d*l**3*m + 1308*d*l**2 - 85*d*m - 55*d - 5*m + 1 wrt l?\nAnswer: -75*d*l**2*m + 2616*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, -49035, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 2:18 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4553 - -2617. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19610 or 39221\/2?\nAnswer: 19610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-0.331\nAnswer: -0.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**5\/12 + o**2. Let x(n) = 2*n - 6*n + 5*n. Determine s(x(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -513 (base 8) to base 12.\nAnswer: -237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (25\/50)\/(2*2\/24). Suppose -104 = -5*d + 2*d + q, -y*d + 119 = -4*q. What are the prime factors of d?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 3*v**2 - 2*v + 6. Let t be s(-2). Let q(i) = i**2 - 8 + 0 - 2*i**2 - 14*i. What is the units digit of q(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 5642 + 6029 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s - 8. Let r be w(2). Let x be 24\/30*(-5)\/(-2). Suppose f + 9 = x*m, 3*m + 2*f = r*m + 2. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 1014170?\nAnswer: 1014176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3393\/290)\/(-39)*3\/18.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 3366 - 3) + -2. Let y = i + 30422\/9. Calculate the common denominator of 77\/6 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 146506*k + 61789 with respect to k.\nAnswer: 146506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 0. Let n = 2.498 - 2.72. Let z = n + -0.078. Which is the third biggest value? (a) z (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/6 + ((-46)\/(-12) - -1). Suppose -22 - 10 = -i*j - k, 4*j = -5*k + 34. Solve -2*f = -j, 3*z + 0*f + f = -3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/3 - (-110005)\/42)*(-1 - -7) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, v: 4, u: 5, y: 1, p: 1}. Give prob of sequence uvy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0*g)**(-33) assuming g is positive.\nAnswer: g**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2a8 (base 15) to base 12\nAnswer: -428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -40928 divided by -17\nAnswer: 40928\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, -2\/13, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -202. Let n = -164 + r. Put 7, -1\/4, -2, n in decreasing order.\nAnswer: 7, n, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 9. Suppose -9*j = -6*j - 3606. Suppose -m*l - j = -12310. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.17 (b) 5 (c) -5\/3 (d) -57 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 72 = 712. Calculate the remainder when j is divided by 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2 = 27. What is the third derivative of -4*d**5 - 2*d**2 - 25*d**f - 23*d**5 + 7443 - 7464 - 2*d**6 wrt d?\nAnswer: -240*d**3 - 3120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d. Let i(f) = -5*f**2 - 91. What is i(g(q))?\nAnswer: -80*q**2 - 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11\/4 (b) -1 (c) -7 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 132 + 5486678821\nAnswer: 5486678953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -9 - 12*r + 7\/78*r**4 - 19\/39*r**3 - 6\/13*r**2. Let l(p) be the first derivative of j(p). Factor l(c).\nAnswer: 2*(c - 3)*(7*c + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 + (4 - (-12 - -14)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 9\/2*n**2 + 0 + 0*n**3 - 18*n + 0*n**4 + 1\/2*n**5. What is the first derivative of b(p) wrt p?\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {t: 1, w: 1, r: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 + 293 = 4*h. Suppose h = 3*d + 12. Let b(w) = w**2 - 3*w - 7. Calculate the remainder when d is divided by b(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*u + 7281 + 63819 = 0. What is the lowest common multiple of u and 2?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 2\/115?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*r + 14*r**3 + 97*r - r**2 - 50*r.\nAnswer: 14*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 1\/8, 2, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29, -56, -79, -98, -113, -124?\n\"Answer: 2*t**2 - 33*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 6*t - 1800 = 0. Is 30 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2. Let n(w) = -66*w**2 + 3*w. Give n(x(d)).\nAnswer: -66*d**4 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (27 - 4185\/162)\/((-3)\/(-18)). Solve v = -34*n - 27 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1658 + -839. Let y = j - -824. What are the prime factors of y?\nAnswer: 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 125 - 91. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 2.7, -5?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2946829*m**3 + 8610344*m**2.\nAnswer: -17680974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6789*f. Let w(z) = 12*z**2. What is w(d(j))?\nAnswer: 553086252*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -297, -444?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*d - 155*d + 732 = 0. Let y = d - 108. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 1)*(-39*y - 42*y + 78*y)*(41 + 34 - 81 + 2*y) to the form j*y**2 + b*y + o and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/11*((-8)\/42)\/(-2)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a + 26. Let n be 2\/(-5) - (-14)\/10. Let p = n + 30. Calculate the remainder when p is divided by w(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.2946nm in meters?\nAnswer: 0.0000001332946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.04070349 to 1 decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 14*k**2 + 13*k + 15. Give u(-15).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*j - 18, 4*k + 1171 - 1077 = -j for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 6*b - 48, 2*b - 4*i - 52 = -2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6 + (-7)\/(-3). Let z(y) be the first derivative of -3*y**2\/2 - 7. Let j(r) be the third derivative of -r**4\/24 + 4*r**2 - 3*r. Give o*z(t) - 6*j(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(-47*t - 56*t + 47*t) + (t + 5*t - 5*t)*(-5 + 0 + 4).\nAnswer: -169*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -114162 <= -114183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 16. List the prime factors of 0 + (28\/r - -2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 37*t**2 + 44*t + 2. Let m(l) = -66*l**2 - 87*l - 3. Calculate -4*m(v) - 7*n(v).\nAnswer: 5*v**2 + 40*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2075 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -77*f + 124. Let n be i(9). Let v = 618 + n. What is the remainder when v is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 24. Let t = 28 - 14. Let i = 29\/2 - t. What is the second biggest value in -3\/4, i, u?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 110.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 21. Suppose -2*u + 84 = -n*u. Suppose s = d + 4*s - u, -s + 126 = 3*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 + 3*j**2 + 5*j**2 + 17*j**3.\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2120200100222 (base 3) to base 5\nAnswer: 322342033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 56. Let f = r + -19. Let o be 4\/(-6)*(-39)\/2. Which is smaller: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**2\/4 + 17367*p + 301612689 = 0?\nAnswer: -34734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 37 = -2*q, -5651*q = -5655*q + 2*y + 42 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*o + 19, -71*x = -70*x - 5*o - 27. Let y be 1\/(-6) + 1\/6. Suppose y = -6*t + x*t + 260. List the prime factors of t.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r + 7. Let b be o(-7). Let l(x) = -511*x - 2 + 10 + 254*x + 253*x. Does 7 divide l(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/4 - 3\/((-30)\/85). Suppose 0 = w*z + 7 - 266. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*o + 5*o + 3 = 0, 1 = -3*s - o. Let j be 1 + -2 + s + 0. Let v = 4 + j. Solve k = -v*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*d + 2. What is the third derivative of -b**2 - 1199*b**4 + 1209*b**4 + 4*b**d + 3*b**2 wrt b?\nAnswer: 240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 9*h - 9. Suppose 6*m = 4*m - 14. Let p be f(m). Suppose -9*s - 35 = -71. Solve p*w = 5*y - 0*w + 15, -s*w = -2*y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -1, 2, -275.\nAnswer: -275, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -439 + 484. Suppose -h = -2*j + o - 4*o, -48 = -2*j - 2*o. What is the greatest common divisor of 18 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 10*p + 4. Let r be a(-9). Let f = 28 - r. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.5*-3.\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 less than -8250.70584536?\nAnswer: -8250.74584536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -22, 0, -131 in decreasing order.\nAnswer: 4, 0, -5, -22, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 918062047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -591316 divided by -914\nAnswer: 295658\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 17. Let s be p(-14). Let k = s - -1. Solve k*j = -25 + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 - 6*r - 1. Let p(g) = g**2 + g - 1. Calculate b(h) + 3*p(h).\nAnswer: h**2 - 3*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2644696.\nAnswer: 2, 330587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 6) to base 15.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 3*f**2 - 6*f + 30. Let d(i) = -4*i**2 + 7*i - 34. Calculate -5*b(z) - 4*d(z).\nAnswer: 5*z**3 + z**2 + 2*z - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2900 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 2\/(-4) - (182\/(-4) - 1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010101011 - -100010010?\nAnswer: 111110111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49520 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-26 - -18) - (1785\/615 - -5).\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -3, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*i + 14*i = 224 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -7*z**5\/60 - 2*z**3\/3 + 8*z**2. Find the first derivative of d(f) wrt f.\nAnswer: -14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 34. What is the lowest common multiple of 1\/(1\/(-24))*(-3861)\/858 and t?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -74, -0.4, 2\/3, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-6) + 16\/(-3))\/(-2). Let f be (v - 4)\/1 - -1. Let r(z) = -z**3 - z**2 + 2*z + 102. What is the units digit of r(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 5*q - 6*q - 11*q**2 + 8 to the form v*q**2 + k*q + s and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 708418012 a multiple of 373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000516642 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 10:40 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 17 + -85 - -77?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4896 = -q + h + 8594, 0 = q + 2*h - 13505. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/235 and -17\/705.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 115261404*a*q + 28*a - 1620067 wrt q.\nAnswer: 115261404*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkv when three letters picked without replacement from {v: 1, m: 1, p: 2, k: 1, q: 1, g: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**3 - 58*o**2 + 149*o - 108. Let z(h) = -45*h**3 + 520*h**2 - 1340*h + 970. Let c(g) = 35*l(g) + 4*z(g). Factor c(q).\nAnswer: -5*(q - 5)*(q - 4)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 4574 - 4566 = -4*q, 2*q - 108 = -14*o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 201620 to the power of 1\/2, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24977\/2 - 424613\/34. Let o = 3 + -2.1. Which is the second biggest value? (a) o (b) w (c) 0.5 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*b - 463*b = -2114 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/14 of a week?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17695675*t**3 + 204161032*t wrt t?\nAnswer: -106174050*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 1175?\nAnswer: -1179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*k - 4722 - 610 = 0, l = k - 1778. Let v = 2525 + l. Let f = -484 + v. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/(-18) + 524\/12. Is 8 a factor of -41 + u + 23*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162 - 162 + 383244*p**3.\nAnswer: 383244*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-4 - -4)\/(12\/6). Let y(v) = -5*v**2 + 9*v + 2. Let f be y(z). Factor -8\/3*h - 2\/3*h**2 + f.\nAnswer: -2*h*(h + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001100100000 + -1?\nAnswer: 1001001100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 8*w + 214. What is h(-13)?\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.144 * 1.2\nAnswer: 0.1728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*n**3 + 6*g**2*n**2 + 20*g**2*n + 1091*n**3 - 8228*n wrt n.\nAnswer: -12*g**2*n + 12*g**2 + 6546*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -6 - -4) + -2 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 14*b**2 - 17*b + 25. Let q be i(15). Let t = q - -32. What is the remainder when 134 is divided by t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30236 - 30231. Put c, 0.061, 0.5, 0 in decreasing order.\nAnswer: c, 0.5, 0.061, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10157 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018481 rounded to 4 decimal places?\nAnswer: -0.0185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -874? (a) -29\/4 (b) -13.4 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**2 + 4*w**2 - 12 + 29 + 7*w**2 to q + g*w**2 + l*w and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-5)*(-75)\/(-15))\/((-453)\/(-1661))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 66092 (c) -0.3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22*(-804)\/(-2948)*3\/1467.\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -q + 247. Let j = q - 130. Let c be (-244)\/(-10) - 4\/10. What is the highest common factor of j and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, 1\/5, 0.22, 3, -13, -18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88 - (41 + 16)) + 15.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s + 8 = -4*r, 4*r = 12. Let n(h) = -h**3 + 4*h**2 + 4*h - 11. Let a be n(s). Solve v = -4*v - a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f**3 - f**2 + f**4 - 1 + f**4 + 5*f**3 as g*f**4 + y*f**3 + o*f**2 + l*f + j and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from sijmsgzz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/17 (b) 1 (c) -2\/9 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**3 + 2*n**2 + n. Let h(m) = 5*m**3 - 5*m**2 - 2*m. Determine -2*h(p) - 5*q(p).\nAnswer: 5*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.63546 centimeters in micrometers?\nAnswer: 76354.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-21) - 3\/((-21)\/(-1409)). Let b = p - -13. Calculate the remainder when (10\/15 - 1)*(-1 + b) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 26, 2 in descending order.\nAnswer: 26, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 != 645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 23 + 37\/2*b**2 + 31*b. Differentiate t(k) wrt k.\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(3 - 3\/(-2) - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 125ab + 106?\nAnswer: 126b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 260855100?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/2618 and 52\/1098251?\nAnswer: 2196502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - sqrt(76)*-2)\/sqrt(4)*-1 + sqrt(304) + (sqrt(304) + -1*sqrt(304) + -5)**2.\nAnswer: sqrt(19) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -4\/93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 - -0.34. Let u = r + -0.07. What is the third biggest value in -5, u, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 - 12*s**2 - 6*s**2.\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -30) + (3 + -2 - 24)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + 48\/(-6))*34\/(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3272 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2 - t - 6. Let o(k) = -4155*k**2 - 2*k + 50. Let f(w) = -4*h(w) - 2*o(w). Find the second derivative of f(r) wrt r.\nAnswer: 16652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**8\/6720 - h**6\/360 - 5*h**4\/24 - 18*h**2. Let d(m) be the second derivative of w(m). Determine d(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000445014544 rounded to 7 decimal places?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19055*s**4 + 19620*s**4 + 8*s - 416 + 4*s**2 - 38 + 69 wrt s?\nAnswer: 6780*s**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/1*(-27)\/(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = j - 6. What is the remainder when 145 is divided by ((-6)\/j)\/((-26)\/(-455))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-756))\/((-114)\/(-456))\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -32, -12, 10, 34, 60, 88?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -117.7 + 141. Let l = x + -11. Round l to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -886 times -0.5\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7970390?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 31) + (0 - 2) + 4\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*j = -3, 0 = 4*j + j - 5. Let x be (3 + (-26)\/9)*u. What is the second biggest value in 6, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 22*y**2 + 37*y + 41. Let j be m(20). Is j < -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/39031 and -14\/2139?\nAnswer: 3629883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z - 7. Let p(h) = h**3 - 2*h**2 + 2*h + 1. Let i be p(3). Let b(s) = -13*s + 2 + i + 0*s - 5. Calculate 6*b(g) + 11*k(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 105 + -68. Suppose 0*f - 10*f = -1370. Let u = -124 + f. What is the remainder when b is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/213 and 88\/708645.\nAnswer: 50313795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * -0.09.\nAnswer: -0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5695 = -15*b + 32*b. Calculate the highest common divisor of b and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -369, 1 in decreasing order.\nAnswer: 24, 1, -369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 8207\nAnswer: 1\/8207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 21*f + 27. Let t(q) = -q**3 - 4*q**2 + 62*q + 24. Let m be t(-10). What is the remainder when 423 is divided by i(m)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 33*b**2 + 10*b + 290. What is m(-33)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02 + 57.98. Let l = z + -54. Sort 0.1, l, -7, -2\/13.\nAnswer: -7, -2\/13, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/36365 and -37\/35.\nAnswer: 36365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1797 divided by 1\nAnswer: -1797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5797500320 to the nearest integer?\nAnswer: 76141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p. Let t(y) be the first derivative of -y**2\/2 - 129. Give m(t(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 239753772 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 5. Let l(i) = -11*i**2 - 11*i - 1. Let u(n) = 5*n**2 + 6*n. Let c(b) = 3*l(b) + 7*u(b). What is the remainder when c(-7) is divided by a(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, 329, 725, 1151, 1607, 2093, 2609?\nAnswer: 3155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**3 + 2*f**2 - 2*f + 1. Let g be u(1). Suppose -t = -3*q + g*q - 15, -5*q = -4*t + 77. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5010460, -20041858, -45094194, -80167468, -125261680, -180376830, -245512918?\n\"Answer: -5010469*n**2 + 9*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786819215?\nAnswer: 5, 7, 13, 31, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 14*u**2 + 10. Let j(i) = 15*i**2 - 7*i + 6. Let a be j(1). Let g be o(a). Solve q + g = 6*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(65) + sqrt(65) + (sqrt(65)*2 - sqrt(65))))\/(sqrt(320)*2).\nAnswer: -3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + (2*1*sqrt(847) - (4 + (-2*sqrt(847) - sqrt(847))))**2*2 + -3.\nAnswer: -880*sqrt(7) + 42376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2060 + 138?\nAnswer: 2208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1485 and 42174.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1502750 to the power of 1\/2, to the nearest integer?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(51)\/(sqrt(9)\/sqrt(3)) - sqrt(17)) + sqrt(153)\/(2*sqrt(9) + sqrt(9)))*1)**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9944 times -1.38\nAnswer: -13722.72","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1237484 or 0?\nAnswer: -3\/1237484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-70)\/5*(-5)\/10. Which is bigger: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 131966035, 263932071, 395898107, 527864143?\n\"Answer: 131966036*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2 - 18096616*a + 18096614 = 0. Calculate a.\nAnswer: 1, 9048307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h - 1. Let t be g(-1). Suppose 7*q - 2 = t*q. Suppose -q*m + 0 = -c + 15, -5*c + 75 = -m. Solve -2*p - p + c = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4731, 4722, 4699, 4656, 4587, 4486, 4347?\n\"Answer: -h**3 - h**2 + h + 4732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7810447?\nAnswer: 113, 69119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence assa when four letters picked without replacement from assaaasaassssass.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**6*d**(-1\/14)\/d)\/(d**8*d**(-2\/5)) assuming d is positive.\nAnswer: d**(-117\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*z + 5 - 132*z - 16*z - 64*z + z - 2 + 2 + 3*z + 2*z - 3*z + (-z - 2*z + 5*z)*(1 + 2 - 5) + 0 - z + 0 - 2*z - 4*z + 4*z)*(-3*z + 5*z + 10*z).\nAnswer: -2568*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 22*d**3 + d**2 - d - 1. Let h be o(-1). Let y = -2 - h. What is the remainder when 74 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 2391 = 11*m. Suppose -5*c - 5*k + 2628 = -1357, -3*c + m = -4*k. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + 15 - 15 + (-1 + 1 - 2)*(-4*t + 2*t + 4*t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3162\/7 - 452. Suppose -2*i = 4*j - 0 + 18, -2 = -2*i + j. Let p = 101 + -101. Which is the closest to -0.3? (a) p (b) i (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1204 = -19*b + 12*b. Calculate the remainder when b is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-2)\/6*-39)*3*13\/(-2886).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264209.\nAnswer: 11, 24019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38619 + 38643 + 38641 - 5*f**2 - 115903.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1317187534.\nAnswer: 2, 13, 50661059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 229543 >= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20 + -12)*1 - -1. Suppose -3*n - 3*s + 2*s + 19 = 0, -37 = -5*n + s. Solve -j = -w + n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000229 rounded to 7 dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -15 + 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - f**2 + f + 1. Let p(o) = 5*o + 3 - 2*o - 4*o**3 - 3*o**2 + o**3. Let x(z) = p(z) - s(z). Factor x(k).\nAnswer: -2*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 91 = -4*x - 25, -18 = -s + 3*x. Let b = 17 + -8. Suppose -4*n - b = -45. Calculate the greatest common factor of n and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, o: 2, b: 1, s: 3}. Give prob of sequence oo.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -341 - -345. Let j = 0 - 1. Which is the closest to 2\/7? (a) -4 (b) n (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1835024?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 11*k**2 + k - 2. Let i be q(3). Suppose 57*a - 47*a - 400 = 0. What is the greatest common factor of i and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44242808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 71 = -l - 61, 5*i + 5*l = 140. Let v = 12 + 4. Calculate the highest common factor of v and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/((-455)\/(-10)) - 39\/(-63). Determine u, given that -4\/3*u**2 + 5\/3*u - 2\/3 + z*u**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w. Let k(v) = -14*v - 11*v + 31*v - 9*v. Give k(j(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00223589747 to seven decimal places.\nAnswer: -0.0022359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 4 (b) -0.664 (c) 0.247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 393*u**2 + 3027*u + 20479. Give p(385).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 5*a**2 + 6*a + 4. Let h be u(6). Let t = -7 - -11. Suppose -t*b - h = -24. What is the highest common factor of 25 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r + 0*r + 3 + 3*r. Suppose 7 = 2*y + 1. Let g be 2\/(-6) + 1\/y. Give m(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a - 3*a - 2*a + 5. Suppose -2*g - 3*g + 15 = 0. Suppose -g*i - 2*i = 0. Calculate d(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -15. Let k(c) = c + 11. Let p(d) = 3*k(d) + 2*v(d). Let n(o) = 16*o + 14. Determine 4*n(t) - 22*p(t).\nAnswer: -2*t - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/2 - 479*o**2\/4 - 81*o\/4 + 20.\nAnswer: (o - 80)*(2*o + 1)*(3*o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/36 - (-22)\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1204 - -608548?\nAnswer: 610753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/570803 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 0. Suppose 0 = -2*y - 3*b - 11, 5*y + 2*b + 5 = -17. Sort y, -1, x in increasing order.\nAnswer: y, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 7, 0.4, 9.1, -2, -2.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814 is divided by 269.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - q**2 + q + 2. Let k be j(-3). Let x(a) = 135*a + 1. Let l be x(1). Calculate the greatest common factor of l and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1213, 2.\nAnswer: -3, 2, 1213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 31885?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -41, -635, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g = -11*g - 75*g + 770. Solve g*h - 37 = 5 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9791007 divided by -23.\nAnswer: -9791007\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 14064?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21346 and 66105?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23435099 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -2\/3, -927 in increasing order.\nAnswer: -927, -2\/3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 70 = -2*d, 4*j + 5*d - 56 = -0*j. Let i be 1 + 2 + 14\/j. Suppose -i*y = -4*c + 124, 4*c - 159 + 27 = 2*y. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1666 and 131\/198968.\nAnswer: 1392776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 0, -0.11, 13, 5 in decreasing order.\nAnswer: 13, 5, 3\/4, 0, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3959904 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001011000 - -10000?\nAnswer: 111001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1521 + 1527. Solve -k*i = -11*i + 3*h, -3*h + 15 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48\/(-21) + 2 + 300\/70 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9, -5, 0.4 in descending order.\nAnswer: 9, 1, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -21*m - 14 + 159 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 262, 1, 5, 337 in descending order.\nAnswer: 337, 262, 15, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2192 - -3754. List the prime factors of q.\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-5\/2))\/((f\/f**14)\/f))\/(f**(-2\/23))**(-4\/35))**45 assuming f is positive.\nAnswer: f**(180981\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 209 + -168. What is the closest to -0.1 in -0.5, -1\/3, -1, n?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 673335 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - (0 - -3)) + 1. Let a(u) = 16 + 10*u - j*u - 5*u. Calculate the least common multiple of a(0) and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -151439, -151474, -151509, -151544, -151579?\n\"Answer: -35*f - 151404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 938398909?\nAnswer: 7, 134056987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 26*x - 165. Let w(i) = 25*i - 166. Let h(u) = -4*w(u) + 5*z(u). Is h(23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1049544 and 2967.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002413 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6902581843 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 8*v**3 - v**2 - 4*v + 4. Let d(g) = 25*g**3 - 3*g**2 - 13*g + 13. Let r(f) = 2*d(f) - 7*p(f). Give r(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1642737, -1642739, -1642741?\n\"Answer: -2*o - 1642735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 5*q + 2. Let c be t(4). Let n be 1*c*(-2)\/6. Suppose -689*f + 1 = -690*f. What is the third smallest value in f, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16, 63, 142, 253?\n\"Answer: 16*y**2 - y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42104 (base 6) to base 10.\nAnswer: 5656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (129 - -487) + 4 + -27. Are 586 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -2104 in decreasing order.\nAnswer: 5, 4, -2104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285586139?\nAnswer: 97, 1423, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u**3 - 1314 + 62 + 1584*u - 200 - 135*u**2 + 3*u**3.\nAnswer: 3*(u - 22)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.34 - 1.569. Let k = 0.009 + c. Let m = -0.2 + 0.3. Is k > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 10:04 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-449*f + 1927 - 1927)*(-2 + 2 + 3).\nAnswer: -1347*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/6)\/(s*(s\/s**(-2)*s)\/s))\/(s**(-1)*s)**(-18\/7))\/((s**(-1)*s\/s**2)\/(((s**(4\/9)\/s)\/s)\/(s*s**(4\/7)))) assuming s is positive.\nAnswer: s**(-667\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75492411.\nAnswer: 3, 25164137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22, 380, 750, 1132, 1526, 1932, 2350?\n\"Answer: 6*u**2 + 340*u - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.197418 and -0.195?\nAnswer: 0.03849651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 15*h**2 + 15*h - 6. Calculate x(-14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20463 - 20365. Solve 20*o - 178 + c = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 470*q + 24. Let p be j(7). Let u = 1315 + p. Suppose 0*a - 3*a = -u. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -691 + 690.97. Which is bigger: k or 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645400.\nAnswer: 2, 5, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 317 (b) 1\/6 (c) -14 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 8. Suppose 4*n = -4*z + 3*n + 34, -4*z + 2*n = -28. Suppose -z*j + 14 = -g. Solve j = u + u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 j when three letters picked without replacement from gvjmggjjjjmjjjjj.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(60)\/(sqrt(12)*-1) - sqrt(5)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b + 2*b)*(4 - 3 + 1) - 3*b + 5*b - b + (-5*b + 0*b + 3*b)*(-2 - 1 + 5) + 2 + 2*b - 2 - 4*b + 5*b - 2*b + b + 7*b - 3*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 24 = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/6 + 154*m\/3 + 11858\/3.\nAnswer: (m + 154)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*z - 11. Let g be (-2)\/((z - 0)*1). What are the prime factors of g*26 + -17 + 15?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 377ba (base 14) to base 10\nAnswer: 135992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**8*p\/p**(-8\/7)*p)**30 assuming p is positive.\nAnswer: p**(2340\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-92)\/368 - 1173754\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t**3 - 3*t**2 + 2*t. Let d be x(2). Let m = 59 + -61. Let p be (96\/d)\/(m\/(-119)). What is the highest common factor of 17 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12430 (base 5) in base 15?\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19834, 29954, 40076, 50200, 60326, 70454?\n\"Answer: s**2 + 10117*s + 9716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046857 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(9)*1) + -2.\nAnswer: -2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 17. Suppose 6*s - h = 21. Solve -2*x - 3 = -3*x, s*x = -3*i + 12 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 206174.29 to the nearest one hundred.\nAnswer: 206200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 8630.1 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - -2. Suppose -u = 2*u - 4*j + 5, u + j - t = 0. Suppose -202 = 10*o - 262. Solve 3*m = l - o, 3 = -u*m - l + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2894, -5, -0.3, -0.5, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 46375.9 years?\nAnswer: 556510.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltltelltittcllel. Give prob of picking 3 t and 1 i.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (56 + -58)*(-1 - 171). Calculate the greatest common factor of m and 2236.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2598 + -2598.1. Which is the third biggest value? (a) 23 (b) 1\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131676233?\nAnswer: 13, 107, 181, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 a factor of 692687630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 15 = 5*c. Suppose 35 = 2*d + 5*r, -20 = -5*r + r. Suppose -c*j + j = -a + 14, -d*a = 4*j. Solve 20 = -a*v + 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 - 37. List the prime factors of t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 22, -1875, 27, -2 in increasing order.\nAnswer: -1875, -2, 2, 22, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/6*552\/(-460).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3394, 6701, 9998, 13279, 16538, 19769?\nAnswer: 22966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((316575\/(-50))\/(-63))\/(((-9)\/(-8))\/((-39)\/52))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 28505.\nAnswer: 28505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -3 - -3) + -1 + -100 - (-754 - -742).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.064 and 216398.\nAnswer: 216398.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0 + 20 = 0. Solve 19 = 3*z - y*r, 12 = 2*z - 0*r - 3*r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhhqhtt. Give prob of picking 1 h and 1 t.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 212813\/10626 + (-116)\/638. Let f = -388\/21 + j. Find the common denominator of -39\/4 and f.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 379, 1306, 2237, 3166, 4087, 4994?\n\"Answer: -o**3 + 8*o**2 + 910*o - 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 320\/7, 0.4, -23, -2, 92, -1\/9 in decreasing order.\nAnswer: 92, 320\/7, 0.4, -1\/9, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.01924\nAnswer: 0.07696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 5. Let w(o) = -o**2 + 17*o - 33. Let x be w(2). Is x > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(136) - sqrt(136))*2*5*-3)\/(sqrt(24)\/sqrt(12) + (sqrt(128) - (sqrt(128) + sqrt(128)*-1)) + sqrt(128)).\nAnswer: -180*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 106689121 and 18.4094.\nAnswer: 106689139.4094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 2}. What is prob of sequence ss?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**5 + 2*i**4 + 6768*i**3 - 877206*i**2 wrt i?\nAnswer: 120*i**2 + 48*i + 40608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - j + 9 = 0, -2*k + 5*k - 4*j + 21 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*v - 2, -2*t + 3 = -0*v + v. Solve t*z + 22 = -3*z + 2*j, 2*j = 3*z + 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, s: 1, r: 4, d: 1, w: 1}. Give prob of sequence dyr.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**4\/24 - z**2. Suppose -1 = -w - 3. Let v be t(w). Solve -v*c + 5 = 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021932 rounded to six dps?\nAnswer: 0.000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((-2*sqrt(80))**2 - (0 + sqrt(5))*3) + 3 + ((1 + sqrt(720))*2)**2).\nAnswer: 558*sqrt(5) + 19242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -9. Let p(h) = 6*h + 2. Is p(z) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254983010?\nAnswer: 2, 5, 71, 197, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000084308669 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66557 and 87761?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-574)\/1435)\/((45\/18)\/((36\/(-40))\/(-9)))?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-3) + (-6 + -1 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11078.406 rounded to the nearest one hundred?\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 9:07 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**6\/360 - p**5\/60 - p**4\/18 + 2*p**3\/3 + 141*p**2. Suppose i(h) = 0. Calculate h.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7969316 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6957559 - 4366129\nAnswer: -11323688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*10\/4 + 15\/(-5). Let g = 13 + h. Let b be (48\/g)\/((-12)\/(-27750)). What is b rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 19*g + 72. Let a(j) = -71*j - 351. Let u be a(-5). Let h be d(u). Let s = 8 + -5. Sort s, -2, 5, h in ascending order.\nAnswer: -2, s, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -8, 21\/17, -2, -5 in descending order.\nAnswer: 47, 21\/17, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2633055, -2633069, -2633093, -2633127, -2633171?\n\"Answer: -5*n**2 + n - 2633051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2736671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 580976553?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1384799 to the power of 1\/2, to the nearest integer?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 12:38 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 288749040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -54b0?\nAnswer: -54a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - u + 1. Let i(h) = -7*h**2 + 8*h - 4. Let a(p) = -i(p) - 6*o(p). Let l be a(4). Let q(f) = l + 4 + f - 3. Determine q(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwav when four letters picked without replacement from {a: 3, m: 2, x: 2, w: 6, v: 1, t: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 390*b**2 + 12675*b.\nAnswer: 3*b*(b - 65)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 62*u**2 + 183*u - 36. What are the prime factors of q(63)?\nAnswer: 2, 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.323 * 58502\nAnswer: 135900.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.069 (b) 658 (c) -2\/7 (d) 0.098\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -118 - -78. Let b be (-30)\/h*-1*8. Let f(g) = 11*g**3 + 9*g + 11. Let r(w) = -5*w**3 - 4*w - 5. Calculate b*f(s) - 13*r(s).\nAnswer: -s**3 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, q: 7}. Give prob of sequence qx.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 47726 (base 8) to base 10\nAnswer: 20438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-18)\/(-8) - (-6 - -9))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 874 - 873. Solve -q = 7*c + 13 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytptrttytryprtr. Give prob of sequence ryrp.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 106*r - 815. Let u be b(8). Let k(d) = -12*d + 398. What is k(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 335*v**2 - 193*v - 1466. Let f be p(-9). Calculate the greatest common divisor of 142 and f.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -14. Let z(i) = -12 - i + 7 + l. Let g(f) be the first derivative of 3*f**2 + 2. Calculate g(z(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3421 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201444 is divided by 198220.\nAnswer: 3224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 303810271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 904155 (base 12) to base 5.\nAnswer: 1033342414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (19 - (1 + 1)) + -18. What is the smallest value in 9, -1\/4, l, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*a = -8, -4*x + x - 3*a - 48 = 0. Let r = x + 14. Which is greater: 4 or r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 29*t - 19. Let p(h) = 15*h - 10. Let c(l) = -9*p(l) + 4*r(l). Does 42 divide c(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, i: 1, n: 4, v: 5}. What is prob of picking 1 v and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 123*d**3 + 174*d**2 + 59*d + 34. Let k(j) = 61*j**3 + 87*j**2 + 30*j + 16. Let v(b) = 6*h(b) - 13*k(b). Factor v(t).\nAnswer: -(t + 1)*(5*t + 2)*(11*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*x + 21, 2*l + 1 = 3*x + 34. Solve -5*j + l = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128455200*u**6 - 7997933*u**2 wrt u?\nAnswer: -15414624000*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30\/7? (a) -0.9 (b) 1\/3 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than 6136012101?\nAnswer: 6136012091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 4*z = 24, -14 = 5*t - z + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mij. Give prob of sequence jmi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5*u = -2*u - 9, -3*c + 33 = 3*u for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 6. Suppose 24 = 4*c - 3*z, 0 = c + z - 2 - j. Let g = -10 + 15. Calculate the smallest common multiple of c and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2)*a**(-5)*(a**(-1))**36 assuming a is positive.\nAnswer: a**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -252738 times -155\nAnswer: 39174390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 h, and 1 j when four letters picked without replacement from {r: 2, h: 2, j: 1, q: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 11:26 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9663, -9665, -9669, -9675, -9683?\nAnswer: -9693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 17*d**2 + 45*d + 761. Determine x(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 10988.7 to the nearest one hundred.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*57\/(16 - (13 - 0)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7506 or 7\/3?\nAnswer: 7506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4\/5 + 24744*c**3\/5 - 6885372*c**2 + 3374082760*c - 559298897850 = 0. Calculate c.\nAnswer: 505, 10857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2147174869 to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2603, 3, -27, 51 in decreasing order.\nAnswer: 51, 3, 0, -27, -2603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 210.701899 rounded to zero decimal places?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1023826 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1700 divide 28399001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15104.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 52 - 104 + 3*o**3 + 52. Let z = 3 - 5. Let t(i) = -i**3 - i. Give z*t(q) - c(q).\nAnswer: -q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127741.999935169 + -127742. What is k rounded to 7 dps?\nAnswer: -0.0000648","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*u + 6*u. Suppose -4 = u*y + 2. Let n be (-1 - (1 + y))\/1. Solve x = -4*x - 15, 0 = -4*a + 3*x + n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/15)\/(90\/75)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d + 5. Let j be (96\/(-120))\/(0 - 2\/15). What is w(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2 - 192*y + 181. Calculate k(47).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2984848320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48228, 96797, 145366, 193935?\nAnswer: 242504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 3202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -1176866704323.\nAnswer: -1176866704323.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3575136 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 3*p**2 + 2*p + 2. Let g = 1 - 3. Let i be b(g). Suppose 2*j - 3*j + i = 0. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 6:53 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.38 + 1.88. Let t = -0.2 - -0.1. Let l = 0.1 + t. Which is the nearest to 0? (a) 5 (b) z (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - ((-12 - -8) + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 9*d**2 - 6*d - 7. Determine v(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 586991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 13*y**2 - y + 31. Let v be u(5). Let c(b) = 4 + 217*b + v*b + 223*b - 666*b - 36*b**2. Let j(r) = -2*r. Give j(c(h)).\nAnswer: 72*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z + 1. Suppose 0 = -0*n - 3*n + 15. Suppose 0 = -2*f + 4*l - 24, f - 28 = 3*f - n*l. What are the prime factors of y(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 107.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-15)*2385\/(-486) + 4.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 q when three letters picked without replacement from {q: 1, f: 2, i: 11, p: 5}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132*y**5 + 218*y**3 - 92544*y wrt y?\nAnswer: -2640*y**3 + 1308*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3306 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 11:11 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2391.923 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 27*k**4\/5 - 30474*k**3 - 36261996*k**2\/5 + 48552456*k\/5 - 3241344 = 0?\nAnswer: -230, 2\/3, 5872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010000010010010101 (base 2) in base 16?\nAnswer: -90495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 124\/8 - 3\/(-6) and ((-8)\/10)\/(2\/(-15))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - c - 1. What is q(-8)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - r - 1. Let y(p) = 84*p**2 - 36*p - 36. Let o(d) = -36*k(d) + y(d). Let t(h) = -h. Give o(t(u)).\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(2\/12 + 0). Suppose 0 = x*i - 4*i - 5*v - 15, 3 = 5*i - v. Let j be (-3 + 1 + 4)*(-2)\/36. Is i equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2855, -5719, -8583, -11447?\n\"Answer: -2864*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-20)*(-58 - 15447\/(-114))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -13. Let h = 2.94 - t. Let i = h - 0.04. Round i to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 8:03 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) -4 (c) -4139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-8)\/y*y)\/y)\/((y\/(y**(2\/9)\/y))\/y*y*y))\/((y\/(y*y**7*y))\/y*y**7))**(2\/41) assuming y is positive.\nAnswer: y**(-176\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 28*l - 59*l - 620, -186*l + 181*l - 100 = n for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztzt when four letters picked without replacement from tztztttzzztz.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 350000 divided by 280?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48015*v**2 - 1 + 1 + 47909*v**2 - 95792*v**2.\nAnswer: 132*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -0.085, 0.4.\nAnswer: -0.085, 0.4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 603*j**3 + 42811*j**2 + 270002*j - 896.\nAnswer: (j + 7)*(j + 64)*(603*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1568918 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 - 42078130705184\nAnswer: -42078130705183.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 12 = 12*c. Suppose 2*i - 4*b = 0, -2*b + 7 = -4*i - 5. Sort c, i, 6 in descending order.\nAnswer: 6, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 21*q + 455 = -19*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1292*v**2\/7 + 133444*v + 5784\/7.\nAnswer: -4*(v - 723)*(323*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*l**5 + 54*l**4 - 2*l**3 - 872*l**2 + 2?\nAnswer: 300*l**2 + 1296*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 19*c**2. Let j(f) = 31*f**2. Give r(j(k)).\nAnswer: 18259*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/(t*t**(-2\/3)))\/t))**(23\/5)*(t**(-1\/4))**(-3\/7) assuming t is positive.\nAnswer: t**(2621\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 367*x**2. Let u = -120 + 117. Let w(s) = -6*s. Let v(z) = 2*z. Let b(y) = u*w(y) - 8*v(y). Give n(b(k)).\nAnswer: 1468*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 1:14 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (419\/2)\/(11\/22). Suppose 3*z + 2*i = s, 2*z - 3*z - 4*i + 123 = 0. List the prime factors of z.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3333 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9b22b (base 12) to base 3.\nAnswer: 101110111222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y - 162. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9789 by -1.\nAnswer: 9789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (420\/90)\/((-854)\/9699)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*j + 28 - 604 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 0.1294?\nAnswer: -0.9058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 17, y: 3}. Give prob of picking 2 k.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/23 (b) 1\/6 (c) -0.3 (d) -53\/7 (e) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 q, and 1 p when four letters picked without replacement from qppaqapqapp?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 1071*d**2 - 5428*d + 51660. Give w(1076).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-596)\/16 + (-6)\/8. Let w = c - -40. Suppose 15 = 7*f - 2*f - 5*s, 2*s + 6 = f. Solve w*y = -f - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 841*m = 694*m + 4410. Solve 38*j - m*j - 32 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*15*(-16)\/(-300).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8758?\nAnswer: 2, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 8456.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q - 59*q = -19*q + 570 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 10:03 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -2\/11 (b) -1\/436 (c) -365\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5 = -2*q. Calculate the common denominator of -7 and (q - 4)*54\/(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20241 - -3?\nAnswer: -20233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 7520 = -d, -747*a + 744*a - 5*d + 5623 = 0. Does 33 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4482\/45)\/((-30)\/(-400)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Calculate (2*(19 + -18))\/(2\/(-11)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 515 and 918245.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67739*f**5 - 15400*f wrt f.\nAnswer: 1354780*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10393638103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 7*z = -11*z + 35157, -3*b + 35157 = 5*z. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i - 6. Let q(p) = -3*p - 3. Let f(m) = -5*q(m) + 3*u(m). Let y = -18 + 7. Let n(d) = 2*d + 1. Give y*n(j) - 4*f(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 4*n - 3, 0*a - 5*n + 30 = -5*a. Let r be (-155)\/(-60) - 4 - 25\/(-15). What is the smallest value in -1\/2, r, -0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -9*y - 12*y**2 + 11*y - 11*y**2. Let q(r) = 2*r**2. What is a(q(d))?\nAnswer: -92*d**4 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27758775 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020100102101 - 10?\nAnswer: -1020100102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -24. Let t be (45\/20 + j)*44. Solve -2*s - 3 - t = -2*k, s - 3 = -k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-6))\/(1\/(-3)). What is the second smallest value in 9, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 769*n**9\/252 - 1321*n**5\/60 - 1406*n**2. What is the third derivative of c(s) wrt s?\nAnswer: 184560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 7. Let u be a(35). Is u\/(-49) + 114050\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*-1 - 0\/2. Let f(c) = -3*c - 4. What is f(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/3 + 3802*b**2 - 469327*b\/3.\nAnswer: b*(b - 41)*(b + 11447)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4476417*b + 8952837*b - 4476420*b - 61*b**3.\nAnswer: -61*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73124 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 111 + 11 = 0. Let s be (280\/b)\/(((-8)\/(-15))\/4). Suppose 3*l = 15 + s. What is the highest common divisor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60412657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 76503153359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000087 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 8*k - 13. What is r(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 6*p**2 + 2*p + 18. Let c be i(7). Suppose h - 8 = -h. Suppose -h = -2*f - 0*f. Sort f, c, 0 in descending order.\nAnswer: f, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 12 = 4*x, 3*v + 14*x = 15*x - 3. Put 4, 3, 0.1, -5\/2, v in descending order.\nAnswer: 4, 3, 0.1, -5\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -29*n**3 + 4*n**2 + 21*n + 7. Calculate the remainder when z(-3) is divided by 68.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -202*z + 1. Let o be k(3). Find the common denominator of 95\/22 and o\/60 + (-3 - -1).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - (0 - 3))*1. Calculate the highest common divisor of 28 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**3\/6 + o**2. Let p(z) = 2*z + 2. Let g be (-3 - 20\/(-8))\/(60\/8 - 8). Give g*p(j) + f(j).\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2268*w**2. Let f(p) = -p. What is f(t(c))?\nAnswer: 2268*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -36. Suppose -2*g = -4 - r. Find the common denominator of 27\/25 and 2\/(-6)*(225\/21)\/g.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = g + 3 - 1, 0 = -4*q + 5*g - 12. Suppose -q = -2*y + 4. Solve -2*t = y - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 + 2*z + 5 - 2*z**4 - 5 + (0*z + 0*z - z**3)*(0*z - z + 2*z).\nAnswer: -3*z**4 - 2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -12*t**2 - 47*t**2 - 226*t + 67 + 253*t + 2*t**3. What is u(29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000234536 rounded to seven decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/3*-81*84\/(-5670)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c - 4*c + c + (-1 - 1 + 1)*(-5*c + 5*c + 2*c) + (-3 + 4 - 3)*(0*c - c + 2*c) + 0*c - 2*c + c + 2*c + 2*c + c to v*c + t and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*j = -6 - 13, -2*j - 20 = 5*x. Let g = 1 - x. Solve 3*a - 3 = g*n, 1 - 2 = 2*n - 3*a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + -1.04. Which is the closest to x? (a) -1\/4 (b) 1 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 17 = p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -84 + 44 + -11 + 1\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40313661*l**3 + 111907*l + 136 wrt l.\nAnswer: 241881966*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**6\/120 - l**5\/12 - 7*l**4\/24 + l**3\/2 - 6*l**2. Let v be b(6). Let s(a) = -1. Let n(i) = -i**2 + 1. Give v*n(r) - 3*s(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4)*d**(-2))\/(((((d\/d**(-14))\/d)\/d*d)\/d)\/((d**(-2)\/d*d*d)\/d)) assuming d is positive.\nAnswer: d**(-67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 164383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*k - 5*k + 3*k)*(-389 - 80*k**3 + 389 + (k**2 + 5*k**2 - 4*k**2)*(k - 1 + 1)) to s*k**3 + y*k + z*k**4 + g*k**2 + i and give z.\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/409320 and -89\/240.\nAnswer: 818640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80623.\nAnswer: 37, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -0.25 in increasing order.\nAnswer: -5, -0.25, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 634387 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6996*y = -a - 6998*y + 19, 3*a - 21 = 3*y for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 7:32 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5\/56, -3, 0.4, -0.1, -0.11 in decreasing order.\nAnswer: 0.4, 5\/56, -0.1, -0.11, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 85595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 0.5 (c) -0.5 (d) -3753 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2\/3 - 39620*s\/3 - 13205.\nAnswer: -5*(s + 1)*(s + 7923)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -224, -382, -544, -710, -880?\nAnswer: -1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 8*i**2 + 111*i - 150. Give f(15).\nAnswer: 3315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 906525 and 2607.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-845 - 351 - 801)*(2*o**5 - 5 + 5).\nAnswer: -3994*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.02638 + 0.22638. What is the closest to -4 in z, -3\/5, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h + 60. Let g be v(11). Let o(i) = i**2 + 9*i + 6. What is o(g)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 475*o**3 - 34*o**2 - 9*o + 8. Let x(d) = 119*d**3 - 8*d**2 - 2*d + 2. Determine -9*x(s) + 2*z(s).\nAnswer: -121*s**3 + 4*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 186 = -2*o, -8*o + 5*o - c = 244. Let q = o - -65. Let y(j) = -j**3 - 18*j**2 + 3. What is the remainder when 7 is divided by y(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 4*v + 56, -16 = -o + 3*v + 2*v. Let h be o*1\/(-9)*-3. Let z be 6*((-9)\/3)\/h. Solve -z = 4*t - 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a - 4*h + 148, -3*h - 29 = -a. Let b = 62 - a. Suppose -4*k = -5*x - 28, 4*x - 1 = -k + b. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 5*y + 32, 5*y + 0*y - 36 = 3*t. Let l = t + 38. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/32 and -55\/48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2027*q**6 - 1289*q**2 + 9*q**6 - 4*q**4 + 4*q**4 - 176*q**6 wrt q.\nAnswer: -263280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/8*x**5 + 912*x + 759\/2*x**2 - 153*x**3 - 1152 + 111\/8*x**4 = 0. What is x?\nAnswer: -2, 1, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**3 + 2 + t**3 - 2.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 95052 in 2, -0.3, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -58*k**2 + 36*k - 3. Let g = 81 + -77. Let r(s) = -59*s**2 + 36*s - 4. Let l(u) = g*z(u) - 3*r(u). Find the second derivative of l(p) wrt p.\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 2*g - 14. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54*h**4*q - h**4*r - 72*h**2*q*r + 2*h**2*q + 2*h*r wrt h.\nAnswer: -1296*h*q - 24*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 29. Let d be w\/(-3) + 273\/(-9). Let q be (3\/9*-1)\/(2\/d). Solve -2*o - 3*h = -0*h + 2, -q*o + 12 = -h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**3 - g**2 + 5*g + 9. Suppose 2*u + 2*k + 18 = 0, 3*u - k - 3*k = 1. Let x(c) = 6 - 2 + c**3 + 2*c**3 + 2*c + 0. Determine u*x(w) + 2*f(w).\nAnswer: -w**3 - 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/((u*u**(2\/35)*u)\/u)))**(5\/14)*(u**(3\/2)\/u)**(15\/2) assuming u is positive.\nAnswer: u**(809\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t - 4. Let s be g(-3). Let w be (0 - s) + (-1 - -11). Suppose -3*l - 14 = -6*l + 5*k, 0 = 3*l + 3*k - 6. Solve -w*q = -l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4442, -8779, -13116, -17453, -21790, -26127?\n\"Answer: -4337*l - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2. Suppose -2*v - 25 = 31. Let y = 28 + v. Suppose 0 = -5*x - 5 - y. Determine o(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 212132 + -112024?\nAnswer: 100103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -408770*d**3*u**2 - 9*d**3*u + 49*d**2*u - 6*d**2 - d wrt u?\nAnswer: -817540*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.9 - -10.1. Let x = w + -12. Let u = 22 + -21. Which is the closest to x? (a) -0.5 (b) 0.6 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 + 2*h**2 + 2*h + 1. What is u(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/545 and -19\/4071150?\nAnswer: 4071150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.399 + 0.39900064. Round u to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {v: 4, g: 4, i: 3, u: 1, s: 1, r: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -4543*a + 4540*a + 16, 4 = -y + 2*a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000562 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -249.6 to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -3*z + 5*j, 11*z + 797*j - 798*j - 3 = 7*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 2*q + 7. What is the remainder when 81 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1224228, -2448434, -3672640, -4896846?\nAnswer: -6121052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4*4\/8*5\/(-25)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28347.6*0.0834\nAnswer: 2364.18984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 - 88*q**2 + 271*q - 182.\nAnswer: -(q - 2)*(q - 1)*(q + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -59. Let h be 27\/o + -2*2\/(-28). Solve h*b - 2*c = 6 + 16, -4*c - 9 = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-130)\/585)\/(((-30)\/(-27))\/5*-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86*g + 15 - 94*g + 56 - 44*g to the form d*g + j and give d.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 3321031?\nAnswer: -3321023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1343323013 (base 5) to base 14\nAnswer: 66db83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 398 + -262. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(5)*-1*-4)*5 - (5*sqrt(180))\/(sqrt(81)\/(sqrt(9)*-2)))**2*2.\nAnswer: -1600*sqrt(5) + 16200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 905*y**4 - 1705*y**4 + 2456*y**4 + (-38 + 38 + 5*y**2)*(-5 + 5 + y**2).\nAnswer: 1661*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2220, 4384, 6548, 8712, 10876, 13040?\n\"Answer: 2164*d + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 10. Let u(i) be the first derivative of i**3\/3 - 3*i**2 - 2*i + 2. What is the units digit of u(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**2 - 3*h + 4. What is n(5)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 7*g**5 + 1083*g**4 - 317*g**3 - 1083*g**2 + 310*g = 0.\nAnswer: -155, -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -575, -555, -535, -515?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1771 divided by -12.\nAnswer: -1771\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5 = -6*v. Let j = -17 - -18. Let r = 1 + j. Calculate the remainder when r is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 10\/61 (c) -4 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 33?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6156*j = 6176*j + 560 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 89094949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 623.\nAnswer: -5\/623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-25)\/(-20))\/(2\/8). Suppose -36 = -v*h - 11. What is the remainder when 17 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + s - 8 = 0, -a - 6*s - 1 = -5*s. Solve a*g - 2*g + 2*l + 4 = 0, -3*g + 15 = -3*l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -77.78 * -0.5.\nAnswer: 38.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3988*d + 15987 = 4023 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -292 - -291.9999944. Round i to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*d + 44*d**3 - 21*d - 16*d)*(15 - 3*d - 15).\nAnswer: -132*d**4 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + 3.6. Sort 0, 3\/5, x.\nAnswer: 0, 3\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 1. Let t(b) = 3*b**2 + 5*b + 5. Give -3*j(y) + t(y).\nAnswer: 3*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 1)*(-7 - 7 + 27)*(2*p + 0 + 0).\nAnswer: 104*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 14)*(-2)\/5. Let g = 28 - 32. Let s(p) = -p**3 - 4*p**2 - 2*p - 3. Let l be s(g). Solve l*w - h - 1 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1078797920, 2157595839, 3236393758, 4315191677?\nAnswer: 5393989596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9457\/2960 - -3\/592. Factor 4\/5*x**2 + 12\/5 + m*x.\nAnswer: 4*(x + 1)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {i: 5, a: 2, o: 4, h: 7}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**3\/6 - h**2\/2 + 340*h. Let r = -76 - -72. Let t = -4 + 3. Let j(w) = -2*w**2 + 6. Calculate r*d(u) + t*j(u).\nAnswer: 2*u**2 + 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 2. Let a be t(4). Let r = -18 + 28. Suppose -10 - r = -4*o. What is the greatest common divisor of o and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*c**3 - 18707*c**2*w + 308873*c*w wrt c.\nAnswer: -60*c - 37414*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -144.556 + 0.556. Let z = -3.39 + -143.61. Let h = v - z. Which is the third biggest value? (a) -0.3 (b) h (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 14. Let d be j(12). What is the common denominator of -1 + d - 242\/(-24) and -49\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45\/2 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/5800 and -89\/1914.\nAnswer: 191400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) - (sqrt(1053)*2*3 - sqrt(1053)) - sqrt(1053))*3)**2.\nAnswer: 236925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 140*w - 15. Let p(q) = -73*q + 8. Let a(v) = -6*f(v) - 11*p(v). Let j(d) = 5*d. Give j(a(l)).\nAnswer: -185*l + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*m = -4*f + 64*m - 16, m + 4 = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(320)*6)**2 + (sqrt(605)*-1 + sqrt(180) + -1*sqrt(180))**2 + 3 + 1 + sqrt(125)*-1 + 2.\nAnswer: -5*sqrt(5) + 46691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -293843*b**2*d**4 - 22*b**2*d - b*d**2 + 2*b - 13*d**5 + 4*d**2 + 4*d + 13 wrt d?\nAnswer: -7052232*b**2*d - 780*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5092 and -104789.\nAnswer: -53358.5588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + g**2 - 4*g - 2. Let n(w) be the first derivative of -1\/3*w**3 - 8 + w - 3\/2*w**2. Let b be n(1). What is s(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - 4*p**3 + 9*p**3)*(1 + 5 - 3)*(-25*p**2 + 14*p**2 + 20*p**2) - 4*p**5 + 2*p**5 + 4*p**5.\nAnswer: 164*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (31*6\/279)\/(2\/43) + 4. Let -10*x**4 - v*x**3 + 40\/3 - 10\/3*x**2 + 20*x - 5\/3*x**5 = 0. Calculate x.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 9 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9305 - -251192\/27. What is the common denominator of 4 + (1\/(-3) - (-60)\/32) and s?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -2. Let t(f) = -f**3 - f**2 + f + 1. Let y be t(-2). Suppose -2*i - 3*i + 15 = 2*m, -m + 2 = -y*i. What is the greatest common factor of o and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 628885787?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**2 + 1718*f - 2. Let a(o) = -159*o. Calculate b(a(v)).\nAnswer: -101124*v**2 - 273162*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 14?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Suppose -t*m + 15 = -18. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**2\/9 + 496*f\/9 - 270 = 0.\nAnswer: 5, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 13*n**2 + 13*n - 13. Let y be x(12). Let w = y + -2. Is (w + 1 - -12) + 0 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 3 + -3 - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000589155908 to six decimal places.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c - 6. Let n be d(4). Let t(m) = -4*m + 3. Let z be t(2). Suppose -l - 4*l = 10. Put n, z, l in descending order.\nAnswer: n, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2703432 is divided by 675856.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = -9*l + 621. Solve -k + l = 9*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34544 is divided by 135.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -561*a**3*b*t + 2*a*b*t + 46*b*t + 4*b + 2*t wrt a?\nAnswer: -1683*a**2*b*t + 2*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-55)\/(-2)*12\/(-15). Let k = t - -27. Solve 0 = k*x + 31 - 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3664 - -2009. Let x be (-116)\/406 + (-1)\/(-14)*h. Which is smaller: x or -118?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 20 = 3*u. Suppose 24 = 7*f - 2*f + 4*r, -5*f + 21 = r. Solve f*s = -s + u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = 4*z - 12. Let a = z - -32. Solve 0 = 4*v + 3 + a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 4:28 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6030)\/(-252))\/67)\/((-840)\/(-49))?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Product of -9095.3 and 3883.\nAnswer: -35317049.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-3) + 5\/((-165)\/(-7932023)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-35) - (-3)\/(-35)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-6) + 9709\/1533. Solve -4*j + 5*w = -16 - 2, 3*w = -q*j + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.14 and 5.\nAnswer: 10.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2 + 14 = t, 5*t - 20 = -5*f. Solve 6 = -4*m + 2*l, l + t - 3 = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-5\/4))\/((((n\/n**0)\/n)\/n)\/n))\/((n\/n**5)\/n**7)*((((n\/n**(-5))\/n)\/n)\/(n\/(n\/(n*n**(2\/7)))))**42 assuming n is positive.\nAnswer: n**(517\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(180)\/(sqrt(6) + sqrt(486)*-2))\/(3*(-6*sqrt(100))\/sqrt(10)).\nAnswer: -sqrt(3)\/153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6185251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/54938440 and 37\/13967400.\nAnswer: 824076600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4375 or 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4018060 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: Which is the second biggest value? (a) 2 (b) 2\/3 (c) -68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - -2*(-2 + sqrt(19))**2) + 5 + sqrt(19) + sqrt(19)*2 + 1 + -3.\nAnswer: -4*sqrt(19) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 158 in -5\/3, -2, 180, 32.1?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 845 and 13182.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 5 (b) -3\/4 (c) 0.2 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 2, 3, -16 in descending order.\nAnswer: 3, 2, 1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 3. Let d(i) = i**2 - 7*i + 3. Let o be d(w). Let s(q) = q**2 + 6. Let a be s(0). Solve o*f + a = 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 238.3244ng to kilograms.\nAnswer: 0.0000000002383244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 997*h**3*k**3 + h**3*k**2*l - 14*h**2*k**3*l - 160*h**2*k**3 - 2*h*k**3*l wrt h.\nAnswer: 5982*k**3 + 6*k**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -60) + (-73 - -47).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-11\/4)*q**(1\/7) assuming q is positive.\nAnswer: q**(-73\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n. Let a(o) = -2*o + 6. Let k be a(3). Let l(z) be the third derivative of k*z**4 + 0*z + 0 + 1\/60*z**5 - z**2 + 0*z**3. Give r(l(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192307 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 16*l**2 - l + 6. Let o(n) = 14*n**2 - n + 7. Calculate -6*j(p) + 7*o(p).\nAnswer: 2*p**2 - p + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6443185 less than -6443182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*v + 2*m + 95, -4*v - m + 331 = -v + m + 348 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -755 + -0.4.\nAnswer: -755.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3379 + -477?\nAnswer: -3856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 895*n**3*v**2 - 5*n**2*v**2 - 618*n*v**2 wrt n?\nAnswer: 5370*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**5 + 4*n**5 - 9*n**2 - 10*n**5 wrt n?\nAnswer: -540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 429\/39 - 2*3. Suppose 2*u - 5 + 0 = -3*n, 3*u = -2*n + 15. Suppose 2*l - 6 = -0. Solve -l*b - u = r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 961, 14299, 50453, 120829, 236833, 409871?\nAnswer: 651349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttau. What is prob of picking 2 t, 1 u, and 1 a?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/21 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(567) - (sqrt(567) - (-5*sqrt(567) + 0)))**2.\nAnswer: -180*sqrt(7) + 14179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -31*c**2 + 8*c. Let l(b) = 63*b**2 - 15*b. Let r(o) = 4*l(o) + 9*x(o). What is the second derivative of r(w) wrt w?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 812513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -421.7 times 0.2?\nAnswer: -84.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 i when four letters picked without replacement from oiioi?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 6*v - 7*n + 64, -v - 160 = 17*n - 292 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31760216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 + -0.25. Let z be -12*(-1)\/(16\/12). Let g = 6 - z. What is the closest to 0.1 in 0.1, g, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o**5 - 1188*o**3 + 12563*o + 3?\nAnswer: -60*o**3 - 7128*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 8:03 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/(-3))\/(4\/2)*(720\/15)\/(-8)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8431?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 2:12 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -7*a + 6*a. Let s = 66 - a. Let q(x) = -x. Let i(w) = 15*w**2 + 10*w. Let f(u) = s*i(u) + 5*q(u). Find the second derivative of f(m) wrt m.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2850?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.6? (a) 0.1 (b) 2\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from kckkck?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.04583 * 1\nAnswer: -0.04583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a gram in milligrams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.59 + 1.59. What is the closest to 2 in u, 5\/2, -2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 6 + 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 718451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*i, 2*f + 3*i = 2*i + 5. Suppose f = 2*g - 0*g - 54. Solve -5*p + a + g = 0, 0 = 4*p - 4*a + 5*a - 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 6*b**2 - 7*b - 12. Calculate z(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*n + 309 - 847, 5*x - n = 875. Let p = x + -122. Suppose -4*a = -126 - p. What is the greatest common factor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(1\/((-49)\/(-14)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602422 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -782*y**2 + 12*y - 18. Let b(x) = 783*x**2 - 10*x + 15. Calculate -6*b(q) - 5*l(q).\nAnswer: -788*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(25)\/sqrt(5)) - sqrt(8) - 4*(1 + sqrt(8)))**2.\nAnswer: 64*sqrt(2) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-6) + (-74)\/(-3) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 + 138. What is the remainder when x is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7132682?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1356587 is divided by 169506?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4447036?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 7:56 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -44672, -89418, -134164, -178910?\n\"Answer: -44746*v + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**44)**(-20)*g*g**2*g**(-1\/8)\/g assuming g is positive.\nAnswer: g**(-7025\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179.7581 micrometers to millimeters.\nAnswer: 0.1797581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 224251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6836002 * -21\nAnswer: -143556042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 2*i**2 + i**2)*(0 + 6 - 3) + (-4*i + 3*i - i)*(1 - 8*i - 1).\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wowo when four letters picked without replacement from wwowuwqo?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -128825 + 128825. Factor 1\/6*k**3 + i - 1\/3*k**2 + 1\/6*k.\nAnswer: k*(k - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106*b**2 - 3*b - b**3 + 118*b**3 - 113*b**3 - 16*b**3 + 163 wrt b?\nAnswer: -72*b + 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**9\/5040 + m**8\/1120 - m**6\/120 - m**5\/40 + m**4 + 2*m**2. Let u(i) be the second derivative of x(i). Factor u(r).\nAnswer: 3*(r - 1)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - l**2 + l + 6. Let w be r(0). Let m be 46\/14 + w\/(-21). Let x be 0 + m + 49\/(-14). Which is the closest to x? (a) 0.5 (b) 1\/8 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 34, -0.4, 17\/2, -0.1, -4, 14?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 104.05 - 0.05. Let h = a - 101. Sort 2\/9, -5, h.\nAnswer: -5, 2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 88, 10, 4, 1, -4 in ascending order.\nAnswer: -4, -1, 1, 4, 10, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -103552817\nAnswer: 2\/103552817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 16*l - 9*l. Let o(n) = 9*n**3 + 7*n - 7. Let g(v) = 4*v**3 + 3*v - 3. Determine l*g(y) - 3*o(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*x, 4*a - 10 = -a + 3*x. Let o = 76 - a. Suppose 0 = -g + 4*z + 14, 7 = -5*g + 5*z + o. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + p - 3*k - 332, -2*k + 248 = 4*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 11:45 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47\/10 - 21\/5. Let j(k) = -k**2 + k + 205. Let i be j(-14). Which is the nearest to 39? (a) i (b) q (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1 + 1 + 4 - 4 + 0 - 1 + 2 + (-2 + 4 - 1)*(3 - 3 + 2) + 2 - 4 + 3 - 3 + 9 - 2)*(2 + 7*r - 3*r - 3*r) - 1 + r + 1 + (3 + 0 - 2)*(3*r + r - r).\nAnswer: 14*r + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2990487522 to the power of 1\/2, to the nearest integer?\nAnswer: 54685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -3. Let q(g) = 3*g - 4. Suppose 4*o - 118 = -42. Calculate the remainder when o is divided by q(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 15 = j, -3*x + 40 = 2*x + 3*j. Solve 5*y + 37 = -4*n, 0*y + 5*y - x*n + 10 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -58, -100, -122, -124?\n\"Answer: 10*r**2 - 72*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(108) + 3)**2.\nAnswer: -36*sqrt(3) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 0 + 6*l + 7\/2*l**2 - 61\/6*l**3. Let o be y(-3). Calculate the highest common factor of 19 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*f + j - 15 = 150*f, 3*j = 2*f + 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (197 + -173 - (3 - -44))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174716893.\nAnswer: 13, 13439761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6572 divided by -131.\nAnswer: 6572\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 106.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.1 - -0.1. Let l = -1 - -0.8. What is the third smallest value in a, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 231738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 159.7?\nAnswer: -638.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 765 - 8394\/11. Suppose -3*y - 9 = -6*y. Find the common denominator of (0 - (-183)\/18) + y and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 10483478.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from emmmmemmmmmm?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 538980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*r + 5*h, -3*h - 17 = -r - 8*h. What is the remainder when 17 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by -3?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*o**5 + 123*o**4 + 403*o**3\/2 - 491*o**2 + 90*o - 4 = 0.\nAnswer: -2, 1\/14, 1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 6*k**2 - 6*k - 5. Let f(m) = -m**2 + 8*m + 16. Let v be f(9). Let j be w(v). Solve 0*t = j*t - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 697815572\/665 + -1049347. Let q = -1\/95 + w. Which is the third smallest value? (a) q (b) -1\/6 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-7)*(-60624)\/(-32292). Let b = 42\/13 - f. Is b not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3365\/7 + 10\/35. Let s = 572 - c. Calculate the remainder when s is divided by 43.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 5 (b) -1 (c) 0.027 (d) -3 (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40, 134, 364, 790, 1472, 2470, 3844?\n\"Answer: 10*n**3 + 8*n**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5348301*b**2*d + 21244804*b**2 - 2*b*d - 2*b + 1 wrt d?\nAnswer: 5348301*b**2 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccwsscsccschhcchcc. What is prob of sequence sss?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 12*q + 22. Is 6 a factor of l(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 41 = -11 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 h when two letters picked without replacement from {t: 1, h: 2, r: 3, e: 1, a: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exfj when four letters picked without replacement from {j: 7, x: 2, e: 8, f: 3}?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.06 from -15894.829.\nAnswer: -15894.769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbbjbbbdbjjbndbb. Give prob of picking 1 j and 1 n.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/27356 and 85\/13678.\nAnswer: 27356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*t = -1425460, 2*s = -3*s - 4*t + 2375772. Let d(y) = 2 - 3 + s*y**2 + 624845*y**2. Let h be d(-1). Round h to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 12:13 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1812618.\nAnswer: 2, 3, 67, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2255 (base 7) in base 14?\nAnswer: -42c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 6*u**2 - 6*u - 6. Give q(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 + (-8)\/(-20) + (-26)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47153824 a multiple of 3411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*w = 2562. Let d = -250 + w. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 - 3*q**2 + q**2)*(-25*q + 52*q - 30*q - 1) + 412*q - 153*q**3 - 412*q.\nAnswer: -147*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 330?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70455\/8113*342\/54.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -154, -152, -150, -148, -146?\n\"Answer: 2*h - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30102804.\nAnswer: 2, 3, 836189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*w - 2*a + 162, 0 = 4*w + 5*a - 243. Suppose -651 + 11911 + 21306 = 857*f. What is the lowest common multiple of f and w?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -255*r + 761. What are the prime factors of n(-26)?\nAnswer: 19, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**4 + 606*b**3 + 28797*b**2 - 163326*b - 191520 = 0.\nAnswer: -112, -95, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26631303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27644540 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 4\/20*-8. Let a(d) be the second derivative of h*d**5 - 7\/3*d**4 + 0 + 4\/5*d**6 - 1\/3*d**7 + d + 2*d**2 + d**3. Suppose a(m) = 0. Calculate m.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 7*w + 1. Let p be z(3). Let m be 10 + -9 - 1\/1*p. Let t(o) = -4*o + m*o + o - o - 3. What is t(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/8*0 - -2. Suppose n + h*y = 4*y + 13, -3*n + 4*y + 31 = 0. Calculate the remainder when 45 is divided by ((-4)\/n)\/((-11)\/220).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3583*m - 427 = 3510*m + 3369 for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 727622790*c + 26471746226369205.\nAnswer: 5*(c - 72762279)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015906177 to 7 dps.\nAnswer: 0.0001591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from boccoocbdb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*h - 89*h**3 + 58*h**2 + 34*h - 58*h**2.\nAnswer: -89*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2099 is divided by 2078.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8985 - 24*k**2 - 5*k**2 - 8984)*(8 - 8 - 2*k).\nAnswer: 58*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 300100 or -4\/11?\nAnswer: 300100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -320.0545 - -0.0545. Let s = i + 275. Sort -2\/11, 0.5, 3\/4, s in descending order.\nAnswer: 3\/4, 0.5, -2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 5:40 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 24*g + 148. Calculate the remainder when (-97)\/(-4) - 1\/4 is divided by p(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63961\/7 - -9137. Which is the nearest to -0.1? (a) -32 (b) y (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -166454.06 to the nearest 1000.\nAnswer: -166000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 22926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 2 = 4*m - 2*a, -3*m - a + 14 = 0. Put m, -24, 3 in decreasing order.\nAnswer: m, 3, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 10 - 7 + 1284*p**2.\nAnswer: 1284*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 1. Suppose 5*c - l + 11 = 0, -2*c + l = 4*l + 18. Let r(j) = j**2 - 11*j. Let o be r(11). Let p = c - o. Determine g(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73.6 times 34\nAnswer: -2502.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 108, 197, 306?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 2. Let p(x) = 5 - 179*x + 86*x + 96*x. Calculate 2*p(r) + 5*z(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 408*p - 1568.\nAnswer: -4*(p + 4)*(p + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*w + 3*w + 3*w)*(3*w + 6*w - w) - 13*w**2 - 4*w**2 + 0*w**2 as o*w**2 + c*w + s and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 343 (base 15) to base 12.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + y + 1. Let b be f(-3). Let i(a) = -2*a**2 + 14*a - 9. Let p be i(b). Calculate the remainder when 57 is divided by (-30)\/p*12\/2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -279476*q - 3074239. Calculate k(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - y + 21. Suppose 5*j = 2*v + 2*v + 30, 4*j = -3*v - y. Solve -3*p - 25 = j*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*v - 2358 = 296*v - 305*v - 501*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a + 24 = 0. Let u(w) = -a*w**2 + w - w + 6*w**2. Let q(l) be the third derivative of -l**5\/60 - l**2. Calculate u(q(r)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 357305044 to the power of 1\/3, to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4*l + 0 + 49 = 0, -2*h + 26 = 2*l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7*m = -4*y - 96, -18 = -m + 2*y. Suppose 105 + 251 = -4*x + h, 5*h = m. Let d be ((-3)\/2)\/(33\/x). Solve -10 - 6 = -d*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28917 and 11718.\nAnswer: 1792854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*h + 3706 = 403*h. Which is the nearest to -0.1? (a) 0.3 (b) h (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87907 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - (sqrt(605) + 0))*5 + 1*sqrt(605)*-4)*6.\nAnswer: -264*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (340\/140)\/(27\/(2457\/(-26)))\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 s, and 1 j when four letters picked without replacement from jijjjsjjjsjjjjjs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**5)**(-16))**5 assuming x is positive.\nAnswer: x**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.477985 - -0.027715. Let s = -10.3 + 2.8. Let a = z + s. Round a to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 140*p. Let y(t) = -17*t. Give j(y(m)).\nAnswer: -2380*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13116)\/48 - (-20)\/16. Let z be ((-12)\/9 + 2)\/(s\/102). Let r(g) = g**2 + 7*g + 5. Let p be r(-6). What is the nearest to p in 3, z, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 900*s + 0*s**2 - 903*s - 5*s**2 + 14 - s**3. Let r be x(-6). Let a = -97 + 199. Calculate the highest common factor of r and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10502530 (base 6) to base 5\nAnswer: 40210241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21616121\/180 - 120089. What is the common denominator of r and 187\/90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9*3\/9 - -65322. Suppose 4*o + 1358325 - t = 3*m, 0 = 5*o. What is m rounded to the nearest ten thousand?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4266682 divided by 2133341?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 10359\nAnswer: -41436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 676715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2690 = -9*n - 494. Let k = 428 + n. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -108, 90.\nAnswer: -108, 8, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 4*b**2 + 7*b**2)*(-556 + 1053 - 566)*(2 - 4 - 1).\nAnswer: 1035*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**4 + w - 4*w**4 + 0*w**3 - 656 + 658 + w**3 to j*w**3 + m*w**2 + g*w**4 + k + d*w and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-13\/3))\/(q*(q**2\/q)\/q)*q**3\/q*(q*q**25)\/q assuming q is positive.\nAnswer: q**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*u - 15 - 573*u**3 - 24 - 24 + 63 - u**2 wrt u.\nAnswer: -3438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*1)\/sqrt(12)*-5 - ((-1 + sqrt(98))**2 + -1 + sqrt(128)).\nAnswer: -98 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 10*q**2 + 3*q - 30. Let x be u(10). Suppose 5*t - 6 - 9 = x. Is 3 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 811 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**5\/60 - p**4\/6 - p**3\/3 + 26*p**2 - 3*p. Calculate l(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -25 (base 12) to base 13\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 4*j + 16, -l - 3*l + 11 = j. Suppose 1191 = -l*y + 5*f + 322, 2*f + 10 = 0. Let v = -199 - y. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/2))\/x)\/x**4*(x*x**(4\/5))\/(x*x*x**(-4)*x) assuming x is positive.\nAnswer: x**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16704 and 3168.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.4 (b) 68 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000181 rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -249647*b**2 - 2*b - 1924 wrt b.\nAnswer: -499294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a71e - -78?\nAnswer: -a6a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b\/(b**(-2\/17)*b)*(b**(-2\/59)\/b)\/b**(-8))**7 assuming b is positive.\nAnswer: b**(35693\/1003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, 8, -3 in decreasing order.\nAnswer: 8, 7, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -35*z + 6. Let o(u) = 7*u - 1. What is -11*o(v) - 2*x(v)?\nAnswer: -7*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from {z: 5, f: 6, i: 2, v: 1, c: 5}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26800, -27105, -27936, -29557, -32232?\n\"Answer: -44*r**3 + r**2 - 26757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11490.64 years in decades?\nAnswer: 1149.064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 2, -5, 3\/4, 21\/5?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y. Let o(h) = h. Let x(l) = -2*l - 14. Suppose -w + 3*u + 0*u = 21, -u = 3*w + 13. Let z be x(w). Calculate z*p(f) - 6*o(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21.486 + 20.486. Let y = 7 + -8.2. Does y = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -125061708*b**2 + 80829*b - 26943. Let y(l) = 23209*l**2 - 15*l + 5. Give -5*w(u) - 26943*y(u).\nAnswer: -11547*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 5*h**3\/3 + 3*h**2\/2 - 5*h - 11. Let t be s(-4). Calculate the smallest common multiple of 20 and (-16)\/(-3)*t\/14.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/15*(54\/30)\/(18\/(-150)).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - -20. Suppose 5*n = 1304 + g. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.3 - -3.5. What is the closest to 0.1 in 1, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.248 and 0.403?\nAnswer: 0.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6381 - 6349. Solve c*j = 60*j - 168 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*d + 30. Suppose -d*l + 5 - 61 = -4*k, 4*l = -4*k + 56. Calculate the remainder when (-4)\/k - (-5500)\/140 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*r - 139*r + 70*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 25.2. Do 4 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3218036 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 q = -0.3 + 0.1. Let g = -1.96 - -2. Let f = g + 3.96. What is the nearest to -1 in -0.3, f, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-19)*a**(-18) assuming a is positive.\nAnswer: a**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -453 + 453.3. Put 1\/5, u, 13\/7 in descending order.\nAnswer: 13\/7, u, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 1. Suppose -4*l - 195 + 623 = 0. Let i = -1607\/15 + l. Which is the closest to f? (a) i (b) -5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkokkokkkkkkkkokkk. Give prob of picking 2 o and 1 k.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 162 = u, 16*a = 3*u + 17*a - 494. Suppose 13*m + u = 5*b + 11*m, 3*b - 5*m = 87. Calculate the remainder when 69 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 5*z + 3*z)*(33 - 14 + 26).\nAnswer: 45*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = k + 2 + 1, -4*k = -5*a. What is the closest to k in -4, 1\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115119648 smaller than 115119648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/((-5)\/(-5))*3\/(-6). Let m be (-4 + 4)*u\/(-6)*-1. Solve -i - i - 8 = m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-10))\/((-25362)\/(-135)). Let u = f + 142501\/22544. What is the common denominator of u and -73\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1306*r = -887 - 26539 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1248297 - 0?\nAnswer: -1248297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 611 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33115, 33118, 33123, 33130, 33139?\nAnswer: 33150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44.7 - -46. Let h = -1.3 + l. Let s = -0.5 + 0.3. What is the second smallest value in s, 8, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -112, -107, -102?\n\"Answer: 5*i - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from {y: 3, e: 1, d: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnadnnnanandddnn. Give prob of picking 2 d, 1 a, and 1 n.\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3650 + 80365\/22. Find the common denominator of -25\/26 and u.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 9:18 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 - 89. Let b = 60 + t. Is (-1407)\/(-12) - 4\/b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 1808 - 1724 = 2*q, 9*q = 6*i + 153 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, -3, -10, 0 in ascending order.\nAnswer: -10, -6, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.554 + 309.896. Let f = 312 - o. Which is smaller: 0.1 or f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1323 - -1003310100?\nAnswer: 1003312023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-4.5981918.\nAnswer: -0.45981918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 121614967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39932 divided by -9983.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1\/(-42)*(-87)\/29.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 447*(-4 + 3)*-1. Let k = -236 + u. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i + 8. Let l(g) = -2*g**2 - 4*g + 6. Let q(n) = 3*n**2 + 10*n - 15. Let k(b) = -5*l(b) - 2*q(b). What is k(v(t))?\nAnswer: 16*t**2 + 128*t + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 22, 54, 102, 172, 270, 402?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5750 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**3 + 2*d**2 + 3*d + 2. Give r(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2411128?\nAnswer: 2, 41, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27514020 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 10200*a**2. Let s(i) = -i. Determine w(s(o)).\nAnswer: 10200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/4))**24*g\/(g\/g**(-10\/3))*g*g\/(g\/g**7) assuming g is positive.\nAnswer: g**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3081 = -a, -7*a + 2*a - 5*t = -15485. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41270 (base 9) to base 6.\nAnswer: -325530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1302312 (base 4) to base 16.\nAnswer: 1cb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1104.325*1.\nAnswer: 1104.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207815988*h + 25 - 6 + 207815990*h.\nAnswer: 2*h + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49617606 to the power of 1\/2, to the nearest integer?\nAnswer: 7044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(52) - sqrt(13))**2 + -3 - 4*(2 + sqrt(52) + sqrt(13)) - (4 + sqrt(1300)*-2 + -2 + 5).\nAnswer: 8*sqrt(13) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0856109 rounded to 3 dps?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 9*u**2 - 2*u + 21. Let s be i(7). Let t = -74 - s. Solve 4*f - 2*q = -16, 0 = 5*f + 4*q + 3 + t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -242 + 333. Calculate the highest common factor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s - 30. Suppose -14 = -a - s*a. What is the remainder when 2\/8 - 35\/(-4) is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1753649 (base 10) to base 4\nAnswer: -12230020301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 707227 is divided by 1037.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**3 + 109*k**2 + 24*k - 71. Let z be c(-27). Let d(n) = -8*n + 1. Let m be d(-1). Is z less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3515\/4 + -876. Let l = 5351\/860 + 6\/215. Calculate the common denominator of l and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001549833 rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/84*4)\/(20\/(-30))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(2\/9))\/((q*q**(-8\/5))\/q))**3\/((q\/q**(2\/7))**(2\/43)\/(q**0)**(10\/19)) assuming q is positive.\nAnswer: q**(32057\/4515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67a113 (base 11) to base 12.\nAnswer: 442366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 7*t + 9. Let x be n(-4). Suppose -8*m + 12*m = 0. Suppose 0*b - b - 3*o - 7 = m, -2*b = -3*o - 13. Sort b, x, 5 in ascending order.\nAnswer: x, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240\/36450*9)\/((-24)\/20*-2)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, q: 1, w: 2, k: 2}. Give prob of sequence hwk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - j = -0*j. Suppose -a - 10 = -2*n, j = -a + n + 3*n - 14. Are a and -6 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2. Let a(k) be the second derivative of k**5\/30 - k**2 - 9*k. Let y(p) be the first derivative of a(p). What is y(c(w))?\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 626*k - 427820 = -400276 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 + 7 - (-2 + 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -14. Suppose s - 5 = -2*z, -12*z + o*z + 16 = 3*s. Solve -s = -j - 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45.48 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (16\/(-10))\/(6468\/540 - 12) is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14137188 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -0*s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4.235449 milliseconds?\nAnswer: 0.004235449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + -14. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324*s - 301 = 231 + 116. Solve -3*g = 3*t - 0*g, -s*g = t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -148*d**3 - 222*d**2 - 222*d. Let k(y) = -y**3 - y**2 - y. Calculate i(b) - 222*k(b).\nAnswer: 74*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 348 - 351. Let j(n) = 8*n - 3. Let w(p) = -7*p + 4. Give g*w(o) - 4*j(o).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.09 to 0 decimal places.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8*(-18 - 110\/(-5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 117 - 4*d**3 - 114 + 71 + d in the form r*d**3 + i + a*d + t*d**2 and give i.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5378*g = 203876 + 129560 for g.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 177\/(-57)) + 1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*s + 119, 3*s - 6*s - 135 = -3*n. Suppose 0 = -13*o + n*o - 120. Solve 3*m + 5*f = 6, 6*m = m - o*f + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 327 - 192. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -142\/13, -1, 2\/21, 0.5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4362*u + 4359*u - 10 - 20 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q + 0*q)*(0*q - q**2 + 0*q) + 9*q**3 + 79*q - 79*q.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(1584)*-2)**2 - (sqrt(1584) + -1 + -5)**2) + 2 + -5)*6.\nAnswer: 1728*sqrt(11) + 28332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 846.\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -236*c**3 - 3*c**2 - c + 2. Let x be n(-2). Round x to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 719*w - 143762. What is b(163)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 76439, 76460, 76481, 76502, 76523, 76544?\n\"Answer: 21*p + 76418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 3:59 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 9*u**2 - 5*u - 11. Calculate q(9).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + d + (4 - 3 - 2)*(3 - 3 - 2*d) - 4*d + 0*d + 3*d + 0*d + 2*d + d)*(-14*d + 12*d - 8*d).\nAnswer: -50*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9353667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(4 - 3 - 15)*(-112*t**3 - 87*t**3 + 136*t**3).\nAnswer: -882*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-152)\/(-5) + (-4)\/10. Calculate the highest common factor of m and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 39.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 378 divided by 3?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**3 + 4*m + 2. Let d(f) = 21*f**3 + 19*f + 11. What is 2*d(t) - 11*q(t)?\nAnswer: -2*t**3 - 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 + 30)*666\/243*18?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 46 - 0) + (0 - 14 - -2).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17602 + -17392. What is the smallest common multiple of g and 162?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12110213 (base 4) to base 15\nAnswer: 7a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135211990 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 383 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -145592+0.14\nAnswer: -145591.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 171.218 - 171. Let v = 125199.8179821 - 125199.6. Let l = v - z. What is l rounded to six dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j*v**3 - 19442*j*v**2 - 2*j*v + 541*j - 71*v wrt v?\nAnswer: 6*j*v - 38884*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5810, 11533, 17256?\nAnswer: 22979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + -2.2. Let o = q - -2.8. Which is the third smallest value? (a) o (b) 0.5 (c) 2\/9 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(2\/21)))**(3\/16))**(5\/11) assuming b is positive.\nAnswer: b**(-5\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -2. Let s = x - -1. Let a be (-13 + -1)\/(-1) + s. Calculate the highest common factor of 140 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 590258468 to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 2. Let y be b(0). Let x(i) = -2*i**3 + 2*i**2 - i. Let c be x(y). What is the remainder when 124\/10 - (-4)\/c is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1970380808 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: Expand (-8*l**2 + l**2 - l**2 + (2*l - 4*l + l)*(-2*l - 3*l + 2*l))*(-4861*l + 4862*l + 401 - 2*l**2 + 41).\nAnswer: 10*l**4 - 5*l**3 - 2210*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5578 < -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-1 - 135\/279). Is m at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.5 - 10.49937. Round m to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.9126612 rounded to one dp?\nAnswer: 202.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3\/(f*f*(f\/f**(-1\/11))\/f))**(8\/5)\/((f**0)**(-22)*f*f**(2\/9)\/f*f**(-2)) assuming f is positive.\nAnswer: f**(320\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*i - 1091*i + 272*i + 275*i - 508 + 269*i.\nAnswer: -7*i - 508","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565882.\nAnswer: 2, 41, 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b + 0 - b**2 + 1\/6*b**3. Differentiate a(l) with respect to l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*b - 4*p + 10, -2*b = -p + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19011 in -3, 49\/6, 0, 2, -5, -38?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.4, -4\/3, -0.0695 in decreasing order.\nAnswer: 0.4, -0.0695, -0.4, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**5 + 833216*g**4 - 9*g**2 + 103*g + 140 wrt g?\nAnswer: -120*g**2 + 19997184*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/2671306 and -109\/22594?\nAnswer: 34726978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(405) + -2 - sqrt(405))**2 + sqrt(40)\/(sqrt(512)*-1).\nAnswer: -sqrt(5)\/8 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p - 12 + 11*p + 8*p**2 - 36*p**2 + 12.\nAnswer: -28*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y - 3*u - 4, 0 = 5*y + 4*u - 33. Let a(w) = y*w**2 - 3 + 6*w**3 + 0 - 5*w**3 - 7*w. Let m be a(-6). Which is smaller: m or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2728, -6548, -12950, -21934, -33500, -47648?\n\"Answer: -1291*p**2 + 53*p - 1490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19820?\nAnswer: 2, 5, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 7*z - 6. Let q be u(-2). Let o be 5 + (18\/10)\/(q\/20). Solve -o + 17 = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122774185 to the nearest integer?\nAnswer: 11080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 434454912.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 347*b*c**4 + b*c**3 - 2*b*c**2 - 2*c**4 + 347*c**2 wrt c?\nAnswer: 8328*b*c + 6*b - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) 0.05 (c) -3 (d) 16.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/(-2)*(44 + -14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10783 less than or equal to -10812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, -6, 2 in increasing order.\nAnswer: -6, -4, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85*b**3*m*t - 9*b**3*t - b**3 - b**2*m*t - 3*b**2*t + 2*b**2 + 63*b*m + b wrt b?\nAnswer: -510*m*t - 54*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/10 + 2 + 1. Let u = 3 + -2.9. What is the nearest to u in -3, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -4. Let m(t) = -p + 2 - t. Let f(s) be the third derivative of -s**5\/30 - 26*s**2. Give m(f(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 7. Let o(f) = 6*f**2 - f - 1. Let m be o(-1). Let p = 1 - m. Sort 1, h, p.\nAnswer: p, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 4 (c) 2\/765 (d) 5 (e) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**4 - m**4 + 5*m**4 + (0*m**2 + 0*m**2 - m**2)*(2 - 2 - m**2) + 2*m**2 + 4*m**4 - 2*m**2.\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5403726038 rounded to 2 dps?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/1651 and -75\/9334.\nAnswer: 1185418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10673, 10671, 10667, 10661, 10653, 10643?\n\"Answer: -c**2 + c + 10673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176336 is divided by 176318?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393758?\nAnswer: 2, 196879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*z = -0*z + 21, 0 = 3*k - 3*z - 3. Let j = 5 - 3. Let q be 4\/(-6) - (-2)\/3. Solve 3*x + 2*x - 4*l - 12 = q, j*l = -k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b + 27. Suppose n - 2*l = b, -39 = -3*n - 5*l + 31. Suppose -n = 4*v - 157. Solve -o - v + 14 = -3*q, 0 = -o + q - 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 - 7*k + 2796. Let q(n) = 17*n**2. Give f(q(a)).\nAnswer: 867*a**4 - 119*a**2 + 2796","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*p + 21 = -93 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 71 = -4*q + 6, -96 = -4*b - 2*q. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83605 - -345333. Let g = f - 691728. What is g rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 976342326 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -303243442 (base 5) in base 8?\nAnswer: -4536335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + -0.3. Let c = -1 - -1. What is the nearest to 0.1 in c, h, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/59 or -1?\nAnswer: -9\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-39*w - 21*w - 19*w)*(-3*w - 3*w - 7*w) + (3*w**2 - w**2 + 0*w**2)*(-2 - 3 + 4))*(-w**3 + 0*w**3 + 0*w**3).\nAnswer: -1025*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/151 + 155\/302. Put o, 1\/23, -5 in ascending order.\nAnswer: -5, 1\/23, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1289737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16976411 is divided by 1061024.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 2:39 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1602205, 1602199, 1602191, 1602181, 1602169, 1602155, 1602139?\nAnswer: 1602121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 3*t**2 - 2*t + 1. Suppose -5*a + 205 + 30 = 0. Suppose -26 + a = 7*r. Determine w(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000035934 rounded to six decimal places?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 121*t**2 + 0*t**3 - 1 + 0*t**4 - 4\/105*t**5 + 1\/245*t**7 + 1\/1176*t**8 - 1\/70*t**6 + 0*t. Suppose i(z) = 0. Calculate z.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -67, -36, -19, -16, -27?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/6 + (6\/9)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2060*c + c**2 + 1403*c + 8431*c.\nAnswer: c**2 + 11894*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*p - 27731, -18*p + 22*p = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/15*(-951)\/(-51). Let d = 20\/17 + n. Let p = d + 2\/5. Which is the second smallest value? (a) 0.4 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*a - 65 = -62*a. Let q(t) = 4*t + 6. Let x(s) = -1. Calculate a*q(r) + 30*x(r).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 101 + 3?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*c + 56*c + 226*c - 238 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 12*c - 146. Give s(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 284989319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 25, -5*a + 2*a = -3*i - 9. Find the second derivative of -l - 7*l + 4*l**i + 11*l**4 - 4*l**2 wrt l.\nAnswer: 132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 4) to base 6\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 0.12 (b) -17 (c) -2\/21 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-five quarters of a day?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 13 - 217. Let d = p + 53. Suppose -d*v + 180 = -0*v. What is the remainder when v is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6000*c + 9070*c - 4070*c - 3620*c in the form n*c + z and give n.\nAnswer: -4620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -9*o - 19 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**5\/20 - 7*p**4\/12 + 5*p**3\/6 + 3*p**2 - p. What is z(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 11:04 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 99, 13 in descending order.\nAnswer: 99, 13, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, l: 3, t: 9, m: 1}. What is prob of picking 1 m and 1 l?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 399 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 0\/(1*-2). Let i(n) = n - 14. Let m be i(9). Let c be ((-9)\/m)\/(-3) - 26\/(-10). Solve -3 = y*l - 5*z, 0 = -z - 1 + c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 4, -56, 2\/5 in descending order.\nAnswer: 4, 3\/2, 2\/5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61961722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/25)\/z)\/(((z**(-2\/13)*z)\/z*z)\/z))\/(z**(-12)\/(z**(-11)\/z)) assuming z is positive.\nAnswer: z**(-301\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -39.14 and 5.7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 7:57 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*o = -5, 0 = -2*j + 3*o + 69. Suppose 3*q = 6*q - 4*d + 69, 2*d = 3*q + 63. Let t = j + q. What is the remainder when t is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.2 * 6168\nAnswer: 19737.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/71? (a) 1\/5 (b) 2 (c) 1 (d) 16\/3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217*p - 4767337 + 742855 = 0. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31882039.\nAnswer: 7, 4554577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 + 2*o - 3. Let h(a) = 3*a**2 + 3*a - 4. Calculate -2*h(u) + 3*p(u).\nAnswer: 6*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*y - 4*y - y)*(0 - 1 + 2) - y + 1 - 4 + 4)*(y - 5*y + 3*y)*(46*y - 14*y - 31*y + 332).\nAnswer: 6*y**3 + 1991*y**2 - 332*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18.2424248 and -39.\nAnswer: -20.7575752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*y**2 - 5*y**2 + 4*y**2)*((y + 0*y - 2*y)*(11*y + 2*y + 3*y) - 2*y**2 - y**2 + 4*y**2 + (y - y + 2*y)*(-3*y - y + 2*y)).\nAnswer: 266*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 25*g + 54*g - 31 = 30*g, f = -3*g - 9 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 3*o**2 - 3*o. Let g(c) = 4*c**3 + 10*c**2 + 10*c. Let h be (-3)\/1 + 65\/(-5)*-1. Calculate h*l(v) + 3*g(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 - 2*m + 2. Let a(g) = 59*g**2 + 7*g - 11. Calculate a(i) + 5*u(i).\nAnswer: 49*i**2 - 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10102010101112 (base 3) to base 10.\nAnswer: -1813307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 34*h + 11. Let m be s(-5). Let p be 3\/(-2)*(-16)\/3. Calculate the highest common factor of p and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/5)\/(5586\/(-490))*-1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2311?\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1770 - 26567\/15. Do 0 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -273 - -257. What is the closest to 0.3 in -1, 0.4, -0.1, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**3\/3 - w**2\/2 + w - 2. Let m(v) = -3*v**2 - 1. Determine -m(g) - 2*x(g).\nAnswer: g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.026 and 0.044822959.\nAnswer: 0.070822959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 3837*z + 1922*z - 14 + 1917*z.\nAnswer: 2*z - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4 + (3 + 2 - 3)*(-1 - 2 + 4) + 4 - 4 - 1 + 3 - 1 - 1 + 1 + 0 + 10)*(0 - l + 0 + (3 - 2 - 4)*(-8 + 8 + 13*l)).\nAnswer: -440*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**48 assuming w is positive.\nAnswer: w**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 113 or 558\/5?\nAnswer: 558\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 25575?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54232 by -54232.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2603646 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/8 (b) -2 (c) -43 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -23. Suppose o + 5*q - 825 = -4*o, j*o - 825 = -3*q. Suppose o = 7*i - 2*i. Calculate the remainder when 130 is divided by i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213 rounded to the nearest ten?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1263 + 3156. List the prime factors of o.\nAnswer: 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 64*f**2 + 96. What is the least common multiple of 696 and u(-64)?\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107723*p - 13849*p + 22532*p.\nAnswer: -99040*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2*199\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 2*p**2 - p + p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21270\/45*(-186)\/(-140). Let s = a + -3136\/5. Calculate the common denominator of s and -77\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 129 = -5*z, 0*z = -3*h + 3*z + 351. Let f = -953\/8 + h. Which is the second smallest value? (a) f (b) -16 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -84. Let y = p + 26. Which is the closest to 1? (a) 2\/19 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126 (base 10) to base 3.\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 57*t**4\/4 - t**3\/3 + 578*t**2. Let a(v) = -2*v**2. What is a(l(c))?\nAnswer: -233928*c**2 + 2736*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s. Let o(d) be the third derivative of -971*d**4\/24 + 511*d**2. Determine o(f(i)).\nAnswer: 1942*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58579 (base 12) to base 16.\nAnswer: 1ce2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64533767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = 33*j - 28*j. What is the greatest common factor of j and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d**2 + 4*d - 1. Let f(a) = -a**2 + 3*a - 1. Let o(q) = -f(q) + z(q). Let i(g) = 5*g. Determine i(o(x)).\nAnswer: -25*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1237697347?\nAnswer: 71, 4001, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4\/7 + 2325252*n**3\/7 - 6975720*n**2\/7.\nAnswer: -4*n**2*(n - 581310)*(n - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 - -74. Let h = 10.15 - 0.15. Let l = -10 + h. Sort 5, q, -3\/2, l.\nAnswer: q, -3\/2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -26. Calculate the remainder when 29 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -155 and -0.2.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i**2 + 29093*i**4 - 17*i**3 + 25*i**2 + 140*i + 23*i**2 - 29092*i**4 = 0. Calculate i.\nAnswer: -2, 0, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -862 - -1886. Suppose 0 = -2*l + c + 982. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -2, 7894, -16, 3 in decreasing order.\nAnswer: 7894, 3, 0, -2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 508 (c) 0.4 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3137418 to the nearest integer?\nAnswer: 1771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(5\/6))**17*(l\/l**(-2\/5))**(-42))**(-15) assuming l is positive.\nAnswer: l**(1339\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 1)*(-2 + 9*k + 3 + 6*k).\nAnswer: 60*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 114335383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8313986, 8313984, 8313982, 8313980, 8313978?\n\"Answer: -2*d + 8313988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9937 - 0.2?\nAnswer: 0.7937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 4*c. Let u be d(-3). Let q be 3*3*(-7 - -6). Is 5 a factor of (-18)\/(u + -1)*6\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*b**2 - 465 - b + 0*b**3 + b**3 - 75*b**2 as x + l*b**3 + a*b + u*b**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1800032.\nAnswer: 2, 13, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4675, 4677, 4679, 4681, 4683?\nAnswer: 4685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*t = 387*t - 5*c - 10, -4*t - 4*c - 16 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 381731 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**2 - 28135324*h + 30246036.\nAnswer: 4*h - 28135324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -31715*s**2 - 31072*s + 643 = 0. What is s?\nAnswer: -1, 643\/31715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -3 (b) 21\/5 (c) -0.4 (d) -4495 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 1 - u**2 - 188*u**3 - 7*u**4 + 97*u**3 + 90*u**3 + 0*u**4 in the form n*u**4 + z + f*u + d*u**3 + a*u**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-32))\/((-21836)\/6592)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 584 divide 39052664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6742\/1 - (-1 - 42\/7).\nAnswer: 17, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73522462 a multiple of 1417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 244 = 4*d, 2*x = -0*x - 4*d + 126. What is the remainder when x is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 375 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 13*a**2 - 5*a + 8. Let r be o(6). Suppose -727 - r = -2*k + u, -3*u - 2390 = -5*k. Suppose w = 14*w - k. List the prime factors of w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5760633*c**2 + 8277033*c?\nAnswer: 11521266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/9)*q*q)**1)**(1\/12) assuming q is positive.\nAnswer: q**(4\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -200 + 178 - (-1 - 40).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(171) + sqrt(19))**2 + 0 + sqrt(304).\nAnswer: 12*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1\/2*y - 2*y**2 = 0 for y.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*h - 2672 = 27*h + 189*h for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 + -0.24. Let l = 0.21 + 1.79. Suppose 7*t - 6*t = 0. What is the closest to l in 0.3, z, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 662 divide 16530781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 217*m + 41*m - 516. Suppose -3*u - 2*t = -21, 3*u - 12 = 5*t - 4*t. Determine a, given that -12*a + 5*a**3 - u*a**2 + 49*a**m + 11*a**3 = 0.\nAnswer: -3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1616 - 1616.3. Sort 0, -727\/2, y in decreasing order.\nAnswer: 0, y, -727\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a. Let w(t) be the second derivative of t**2\/2 + 12*t. Let p(k) = 1 + 1 - 4. Let n(q) = 3*p(q) + 5*w(q). What is -n(x) + s(x)?\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14248 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -810 at most as big as -817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -861497\/24 - -35890. What is the common denominator of 2*1\/4*(-452)\/24 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185 and 1950.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 710796, 710801, 710806, 710811, 710816, 710821?\nAnswer: 710826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -165, -166, -157, -132, -85, -10, 99, 248?\n\"Answer: t**3 - t**2 - 5*t - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/1 + 45\/10)*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01444 rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.14 at least as big as 11928?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -144 (base 9) to base 8\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*i*x**3 - 272*i + 45645*o*x**5 + 2*o*x**3 + 3145*o*x**2 + 2*o wrt x?\nAnswer: 90*i + 2738700*o*x**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -11. Suppose -s*c - 14 = -o, o = -0*o + 3*c + 19. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Let t = -1.2 - -1.9. Which is greater: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 364805825 to the nearest one hundred thousand.\nAnswer: 364800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.390831 rounded to two decimal places?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**2\/5 - 2948*n\/5 = 0.\nAnswer: 0, 737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*u - 93240 = 770*u + 705*u for u.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**3 + 4*p**2 + 40*p - 7. Let y(r) = -2*r**3 - 3*r**2 - 43*r + 8. Calculate 3*c(m) + 4*y(m).\nAnswer: m**3 - 52*m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 6*o - 2. Let y be (-28)\/8*6\/3. Is z(y) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 15 = -4*h, 5*m - 12 = -4*h + m. Solve 31*n**3 - 344*n + 4*n**3 + 264*n - 5*n**h - 40*n**2 = 0 for n.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 25*f - 5. Let n be q(23). Let a = -35 + n. Suppose -260 - 250 = -a*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 771 + -774. What is the nearest to -72 in w, 0, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -1. Suppose -6*s + 3*s = -3. What are the prime factors of b + -2 + 12*s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -2*g - 5*z, 0 = 5*z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, r: 4}. What is prob of picking 2 e?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 519 and 22929.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 5. Suppose 4*w + 3*c = 63 - 25, -w = 3*c - 23. Solve -j*k + w*z = 5, -5*k = -10*k + 3*z - 16 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2576258.\nAnswer: 2, 47, 27407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/(-132))\/((-165)\/(-40))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 7*g**2 + 20*g - 18. Let w be s(9). Solve 0 = -w*j + 4*j - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 184, -2 in decreasing order.\nAnswer: 184, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (27\/54)\/((-3)\/(-6)*(-4)\/24)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010 (base 4) in base 14?\nAnswer: -192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -95, -204, -359, -560, -807?\nAnswer: -1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -253055 + -174?\nAnswer: -253251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1079*i - 1072*i + 49 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.2? (a) 1\/5 (b) -211 (c) -2310\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -3*n + 116249 - 116196, 0 = i + 3*n - 37 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/4)\/(l*l**(-3))*(l**1)**(36\/5)*((l**4*l)\/l**(-2\/11))\/(l**(-4)\/(l\/l**3)) assuming l is positive.\nAnswer: l**(3769\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apanppaanajanann. What is prob of picking 2 p?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-676 + 55*y**2 + 676)*(17*y - 5*y + 0*y) to g*y**2 + j*y + z + f*y**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i**2 + i + 7. Let z be k(-3). Is z\/(-30) + (-2812)\/(-12) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/7, -1\/65, -0.0946 in increasing order.\nAnswer: -0.0946, -1\/65, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.529 - -0.001. Let t = 20050858 - 20050857.47000065. Let w = t - k. Round w to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18d (base 16) to base 10.\nAnswer: -397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.217 - 2.117. What is the fourth smallest value in 0.3, o, 0.4, -39, 9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6166608999.\nAnswer: 3, 2055536333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 93*z**2 + 1. Suppose -4*s = 8, -5*a + 5 = -4*s + 2. Let t be q(a). What is t rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 121429622 and -0.08.\nAnswer: -9714369.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 3*k - 10 = -1, -3*k = -2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 655, -0.113, -2, 395 in descending order.\nAnswer: 655, 395, -0.113, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 1. Suppose -22 = -i*c + 18. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2937*w**3*z - 5519*w**2*z + z wrt w.\nAnswer: -17622*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 37. Suppose 39*z**3 + r*z + 80*z**2 + 49*z**3 + 12*z**3 = 0. Calculate z.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4801 by -13.\nAnswer: 4801\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n + 1. Let o = 3 - n. Is (-222)\/(-4)*o\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105 + -97. Suppose 0 = -4*w + i, -w + 4*w - 38 = -r. Calculate the least common multiple of 32 and r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 - 8*u**2 - 60*u**2 + 70*u**2 - 3*u**2 - 3*u**2.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(76) + 2)*-3)**2.\nAnswer: 84*sqrt(19) + 733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -637, -2\/13, 2\/5.\nAnswer: -637, -2\/13, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 168*v - 169*v + 4 + 7.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380 divided by -69?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1842 is divided by 239?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 12:28 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by 75.\nAnswer: -62\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*-4 - sqrt(180)*-2)\/(((sqrt(70)*2 - sqrt(70)) + sqrt(70))\/sqrt(7) + sqrt(10) + sqrt(10) + sqrt(90)*-2).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 6 = 10. What is the least common multiple of b and (-2 - -1)\/(-1 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + 0.3. Let t = 13.15 + -5.902. Let b = t - 0.248. What is the closest to 0.1 in 1\/5, y, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104759354 a multiple of 537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 10:20 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.056243465 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhxz when four letters picked without replacement from hxzzxhxxzzxlzzlxlhl?\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 + -225 + 111 + 66.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 472572026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {q: 2, x: 2, s: 3, d: 8, y: 2}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -550117, -3, 2 in increasing order.\nAnswer: -550117, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54597?\nAnswer: 3, 18199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdddrrzzdwddtdttzd. What is prob of picking 1 d, 1 t, and 2 r?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 10*q = -1509. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4935 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 10*k**2 - 2*k + 10. Suppose -54*d + 56*d = 20. Determine n(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 19*q**2 + 25*q + 14. Let s be j(20). Calculate the greatest common factor of 513 and s.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 10*j - 26*j.\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 31\/5 of a tonne?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1027765 (base 8) to base 3.\nAnswer: 111221102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57589.\nAnswer: 7, 19, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 39864 from 764618.\nAnswer: 724754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (73\/(19272\/(-2288)))\/((-4)\/(-6))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*q + 5*q**2 - 10*q**2 + 86*q**2 - 5 + 155*q**2 + 3 in the form p*q**2 + f + z*q and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 145414 (base 6) to base 7\nAnswer: 56245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxrrxvrvrxvrrvx. Give prob of picking 1 x and 3 r.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1062 (b) -5 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124775733 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xn when two letters picked without replacement from {x: 3, o: 4, n: 6}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 5*y**4\/12 + 10*y**3\/3 - 3*y**2 + y. Let u(z) = 2*z**2 + 7*z - 2. Let f(g) = -3*n(g) + 8*u(g). What is f(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(3\/2))**(2\/5))**(-40) assuming s is positive.\nAnswer: s**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128 - -133.3. Let t = m + -5. Let g = t - 0.29999982. Round g to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 9*z - 2 - 1 + 0*z + 2*z**2. Let u(f) = 2*f**2 + 9*f + 6. Let q(y) = -y**2 - y - 1. Let n(b) = 4*q(b) + u(b). Give -7*n(l) - 4*r(l).\nAnswer: 2*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 30 = 6*b. Let y be 3 - b\/(-4)*19998. Suppose -y = -12*r + 13*r. Round r to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*d - 15 = 72*d. Let p(s) = 134*s**2 - 33*s - 24. Is p(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 578 and 3349?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**5\/9 - 35996*u**4\/9 - 107196076*u**3\/9 - 11473882868*u**2 + 787551015360*u + 3333024927552 = 0. Calculate u.\nAnswer: -3021, -4, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75*5\/(-15) + (-2 - 4) + -6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -s - 15. Solve 0 = s*t + 5*q, 6*t - 4*t + 3 = -q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.1738, -334, -1?\nAnswer: 0.1738","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 67 or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 34. Suppose -6*w = -t - 2*w + m, 4*t = -3*w + 1. Let v be (t + -4)*(8\/(-6))\/(-4). Which is the nearest to -1? (a) 2\/3 (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 11) in base 14?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uquqqduquqququqqqqq. What is prob of picking 1 q and 2 u?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 1133 = -4*i + 2*i, -5*i = -2*l + 2860. Let s = i + 578. Solve -b - 5*n + 5 = -10, -2*n = s*b - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 22*u**2 + 14*u + 12. Let m(i) = -2*i**2 - i - 2. Let h(o) = 2*k(o) + 12*m(o). Let w(d) = 21 - 21 + d - 4*d - 4*d**2. Calculate 3*h(y) + 16*w(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + -8. Let v be ((-1)\/(-2))\/((-1)\/o). Solve 40 = -5*g - 3*p, 12 = -4*g - 4*p - v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -26*r**2 - 1180*r - 13347. Give a(-22).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11188 - 11195. Put 5, -21, s in ascending order.\nAnswer: -21, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393*b + 42534217346 - 42534217346.\nAnswer: -393*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 1 + 0*z**3 + 7)*(1 + 1 + 0)*(-1 + 2 - 2 + 1 - 4 + 4 - 3 + 2 + 0 + (2 - 2 - 2)*(1 - 3 + 0) - 4 + 2 + 3 + 2 + 1 - 4 - 3 + 3 + 2 + 0 + 5 - 1).\nAnswer: 36*z**3 + 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 12*z**2 + 21*z + 12. Suppose -29*f - 40 = -25*f. Let x be y(f). What is the third derivative of -10*s**x - 15*s**6 - 6*s**2 + 23*s**6 wrt s?\nAnswer: 960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 - 2*h**5 + 2*h**4 + 0 + 3*h**5 + 0 + (-3*h + 2*h + 3*h)*(-4*h**4 + 0*h**4 + 2*h**4) + 2*h**5 + 0 + 0.\nAnswer: -h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*6*(-3)\/(-54)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 414352866*q**2 + 1027187333?\nAnswer: 828705732*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/120*8)\/(1*((-96)\/(-8))\/1320)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -5) + -2 + 2 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, q: 5, s: 1}. What is prob of sequence sqq?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z + 2. Let l be r(-6). Let a be ((-12)\/l)\/((-3)\/(-15)). What is the remainder when 27 is divided by 82\/6 - 1\/a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -5. Suppose -c - z*w - 10 = 0, -c + w + 23 = 3*c. Suppose 1056 - 11 = c*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.106, 3, 207?\nAnswer: 0.106","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 7*k**2 - 5. Let n(h) = h - 3. Let d be n(5). Suppose -d*b - 11 = 3. Give v(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3732064 divided by 1\nAnswer: -3732064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2678+1956084542\nAnswer: 1956087220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-14)*(-186)\/279?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -1, -2, 1\/247, 5 in descending order.\nAnswer: 5, 1\/247, -0.06, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-411576)\/(-198) - (-1)\/3 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2699682 a multiple of 452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 255\/(-170)*(-2)\/(-6). Which is the nearest to v? (a) 0.5 (b) -5 (c) 0.2 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 15 = -4*v - 13, -4*v = h - 5. Let c = h - -15. Suppose 0 = s - 3*i - 14, 31 + 49 = 4*s - c*i. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -738 divided by 369\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37726514 is divided by 12575503.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16510 + 16507. Which is the third biggest value? (a) v (b) 2\/5 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 - 4*j**2 + j**2)*(-j**2 + 4*j - 4*j) + 6*j**4 - 247 + 247 to the form r*j**3 + h*j + n + b*j**2 + a*j**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7210657 is divided by 193?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 4*i - 1315. Suppose -2*b - i = -5*q + b, 0 = 3*q + 3*b - 195. What is the remainder when q is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y - 141*y - 110*y - 89*y - 5.\nAnswer: -328*y - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 5:38 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361*b**3 - 2*b**2 - 8*b**2 + 362*b**3.\nAnswer: b**3 - 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46320 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-2)\/(-2) - 0). Suppose -m + 8 - 5 = 0. Let v = m + i. Which is the biggest value? (a) -2\/7 (b) 0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 532*i. Let s(d) be the first derivative of -3*d**2\/2 + 100. Determine s(j(r)).\nAnswer: -1596*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3513900 to the nearest ten thousand.\nAnswer: 3510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001 (base 2) in base 16?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*2\/(-16) - (-187)\/44. Suppose 2*f + 2*f + l*h - 44 = 0, -h - 4 = 0. Let t = 112 - 54. What is the remainder when t is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458466553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o**(1\/25)*o*o**(-2\/19))\/(o**2)**(-12\/11) assuming o is positive.\nAnswer: o**(31959\/5225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 495357419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3019*z - 2 + 1 + 3782*z to the form s*z + h and give s.\nAnswer: 763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4118134700?\nAnswer: 2, 5, 41181347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 17*s + 31. Suppose 2*d - 136 = -6*d. Does 8 divide q(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s**2 + 54*s**2 + 94*s**2 - 30*s**2.\nAnswer: 137*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/937794 and 35\/8244?\nAnswer: 1288528956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(36\/(-45))*(-2)\/1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*d + 759518 = 769418 for d.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-23)*a**(-13))**(-44) assuming a is positive.\nAnswer: a**1584","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(3\/7)*n)**(-5\/13) assuming n is positive.\nAnswer: n**(-85\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1531, 3026, 4521, 6016?\n\"Answer: 1495*z + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/4 + 45\/276. Put 1\/5, -21, b in descending order.\nAnswer: 1\/5, b, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5446 divided by -6\nAnswer: -2723\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637220.\nAnswer: 2, 5, 151, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-11)\/k*k)\/k**13)\/((k\/((k*k**14*k)\/k))\/(k\/(k\/(k\/(k*k\/(k*k*k**(-1\/8))))*k))) assuming k is positive.\nAnswer: k**(-81\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-6*(-1 + sqrt(11)) - sqrt(11))*2)**2.\nAnswer: -1344*sqrt(11) + 9200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*-47*8\/(-12). Suppose n = 3*r - j, 0*r + r = -2*j + 36. Suppose -m + r = -10. Is m a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 117, 133, 173, 249, 373, 557, 813, 1153?\n\"Answer: 2*p**3 + 2*p + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51 - 71*c**2 + 2*c**2 - 33 + c + 537 - 987*c**2 wrt c?\nAnswer: -2112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00822 rounded to 4 decimal places?\nAnswer: 0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/67, 2, -5?\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 35 + 41. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5928059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 41004 (base 7) to base 3\nAnswer: 111122120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/3, -76, 38?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f**4 - 33000*f**3 - 3122025*f**2 - 3773880*f - 684828 = 0 for f.\nAnswer: -1119, -102, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-126)\/504*(-2)\/15?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42263946*z + 18582194?\nAnswer: 42263946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -1\/3*i**3 - i**2 + 1\/210*i**7 - 1\/8*i**4 + 0 + 1\/40*i**6 + 0*i + 1\/60*i**5. Find a such that m(a) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 0.8114829?\nAnswer: 0.8114829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 154 - 92. What are the prime factors of n?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3514 - 0.35133005. What is r rounded to six decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*c - 8 - 1601 = -325 + 535 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1560887081.\nAnswer: 13, 120068237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 725938091 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 496 divide 49600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1128 + -1128.5. Which is the closest to 3? (a) x (b) -48 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 6680\/(-44) - 2\/(-11). Calculate the highest common divisor of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 3*s - 3. Let m be 15\/(-20) - 2\/8. Let d(r) = -r**2. Let o(c) = m*n(c) - 2*d(c). Is o(-6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -4) + (1 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1726 + 2?\nAnswer: -1724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.036, 47, 40.96, 0.04 in descending order.\nAnswer: 47, 40.96, 0.04, 0.036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, -80, -326, -674, -1124, -1676, -2330?\nAnswer: -3086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30156 and 358440.\nAnswer: 900759720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-5*sqrt(90)\/sqrt(9))\/sqrt(2) - (-3 + sqrt(55)\/sqrt(11)*6)))*-3.\nAnswer: -18 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3604 divided by -1802\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876 is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 68\/(-225) + 74\/925 + 74\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.17 - -0.17. What is the third biggest value in c, -0.4, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -91. What is the remainder when 35\/(14\/(-2)) - (-3 + -131) is divided by f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236670 + t**2 - 473347 - 236*t + 236677.\nAnswer: t**2 - 236*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4 = -1. Let b be (h + 7)*(-2)\/(-4). Put -5, b, -1 in decreasing order.\nAnswer: b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/36 and -103\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 43\/3*o**3 + 94 + 0*o**4 + 0*o**2 + 1\/5*o**5 + 66*o. Differentiate v(j) with respect to j.\nAnswer: 4*j**3 + 86*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/(h*h**19*h))*h)\/(h\/((h\/(h**(9\/2)*h*h))\/h*h)) assuming h is positive.\nAnswer: h**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -26*u + 516. Give x(26).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**4\/12 - 2*u**3\/3 + 2*u**2 - u. Let g = 15 - 11. List the prime factors of m(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 v when three letters picked without replacement from {a: 4, v: 5, k: 6, h: 4, t: 1}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1212122 + -311?\nAnswer: 1211311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 45633 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10141312 - 882271678\/87. Let u = 36743039\/142593 - j. Let w = 1\/149 + u. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1352 + 1319. Put 0, 4, z in decreasing order.\nAnswer: 4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**2 - 4*h - 3. Let p = -1 - -1. Suppose 3*t = -p*t + 12. Let o(k) = -t*k - 2 + k + 6*k**2 - 2*k**2 + 0. Determine 5*n(l) - 7*o(l).\nAnswer: 2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23927 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526638997.\nAnswer: 526638997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*r - 9, -3*r + 2*a + 20 = 3*a. Let q = r - 3. Find the second derivative of 3*c + 3*c**2 - q*c - 2*c**2 wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -257*a**5 - 1662*a**2?\nAnswer: -15420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7343, 7345, 7349, 7355, 7363, 7373, 7385?\nAnswer: 7399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*v = -458342 - 168555. Calculate the least common multiple of v and 6.\nAnswer: 87474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31614*c + 31622*c + 9 + 23 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 8*p**2 + 2*p + 6. Let c be k(-8). Let t be 5\/2*(-8)\/c. Find the first derivative of 5*r**2 + 3*r**t - 2 + 1 - 4*r**2 wrt r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6133235 + 123?\nAnswer: -6133112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p. Let a be 63\/12 + 1\/(-4). Let y(m) = -a*m + m - m. Give y(o(b)).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 459 - 228. What is the remainder when q is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005052027048 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5782664 rounded to 3 dps?\nAnswer: 0.578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 4*k - 8. Give m(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-2))\/(2\/8). Suppose -n = -m - 5. Let s = 1148 - 1093. Calculate the highest common factor of n and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**5\/15 - 5*m**4\/12 + 7*m**3\/9 - m**2\/2 - 6. Factor z(k).\nAnswer: k*(k - 3)*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from upuppuun. Give prob of sequence upn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)*d*d)**(-10))**(-24) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2604332 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 330385, 2, 1, 0 in decreasing order.\nAnswer: 330385, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 33*b**3 - 13*b**2 - 14*b + 47. Does 10 divide u(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3118885 to 2 decimal places.\nAnswer: 1.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 17*t - 15. Let x be a(-18). Let g = x + 21. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(2\/(2\/(-7)))*1918\/411?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = l + 5*w - 5, 0 = -3*l + 4*w - 8. Suppose s = -4*q - 14, 0*s - 5*s + q + 35 = l. Find the first derivative of 2*z + s + 0 - 2 wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2200?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 226204855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2 (b) 1 (c) 0.12 (d) -92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211784191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2102, -3768, -5432, -7094, -8754?\n\"Answer: a**2 - 1669*a - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, z: 1, k: 1, u: 2}. Give prob of sequence zuw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -15, -2\/5, -1, 2, 1, 180?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/10)\/((-4)\/20). Suppose v + 28 = t*h - 2*h, -3*h + 42 = 2*v. Calculate the remainder when 40 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o = -21*o - 18. Let f be 4 - (-8)\/(-12)*o. Suppose -f*c = -12*c + 2076. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in 2715, 0.3, 6, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = 2*g - 5*z + 5, -3*g - 35 = -4*z. Let y(h) = -h**2 - 6*h - 7. Let u be y(g). What is the smallest common multiple of 6 and (4 - 3)\/(u\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7446094 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*u + 3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 614 - 407. Let y(g) = -28*g + 1883. Let n be y(65). What is the first derivative of 55*h + 71*h + n*h - w*h + 25 wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3706 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*o + 18*o**2 - 31*o)*(-o + o + o**3) + 40*o**4 - 8*o**5 - 40*o**4.\nAnswer: 10*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -89? (a) 0.4 (b) 5\/4 (c) -10\/13 (d) -2\/13 (e) 3 (f) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**3 - 3*t**2 - 64 - 6*t + 36 + 28 + 2*t**4 wrt t?\nAnswer: 48*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91736993?\nAnswer: 233, 393721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8203*z + 70523 - 262754 = 180584 + 201395 for z.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from dgggdpd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -30 - (1047 - 1073).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**0)**(-32\/5)\/(f*f**4*f*f**5) assuming f is positive.\nAnswer: f**(-119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.427512kg in nanograms?\nAnswer: 2427512000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4 - 431*f**3 + 2*f**2 + 42*f - 104*f + 60*f to the form l*f**3 + p + g*f**2 + x*f and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.5 - -9.5. Which is the third biggest value? (a) -1 (b) k (c) -1\/8 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-1\/4)\/f))\/f)**29\/(f\/((f**(-3)\/f)\/f)*f*f**(-2\/35)) assuming f is positive.\nAnswer: f**(4103\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-783)\/45 - -11) + (-4)\/(-10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -422939 (base 11) to base 4.\nAnswer: -2211112133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17b + 159?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 279.\nAnswer: 3069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 368?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185 and 11870525?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2049 is divided by (-41)\/4*(-16 - -8).\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (32\/12)\/((-3)\/(3\/26)). Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2. Suppose 10 = -p*g + 2*g. Let u(z) = 3 - 3*z - g - 7. Let o(d) = -d - 4. What is -5*o(k) + 2*u(k)?\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152) + -4)**2.\nAnswer: -192*sqrt(2) + 1168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*x. Suppose -10 = -5*s - x. Suppose s*i + 0*i = 4. Solve -i = -j + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19080462 is divided by 208?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6930)\/(-44))\/45 - ((-10)\/4 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 1 (c) 0.2 (d) 3\/8 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -316, -693, -1334, -2329, -3768, -5741, -8338?\nAnswer: -11649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 8 = 2*x + 4*h, -h - 29 = 5*x. Let b(f) = -221*f - 67. Is b(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q - 37*q - 8 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -3, 1, -0.03?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2385 times 2.259?\nAnswer: 0.5387715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -68862 in 0, -10, 0.5, -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2114004 (base 6) to base 13.\nAnswer: 37cc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 5*i + 0*i)*(3*i**2 + 2*i**3 - 3*i**2)*(-4*i - 4*i + 14*i).\nAnswer: -24*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3271, 3252, 3227, 3202, 3183, 3176, 3187?\n\"Answer: t**3 - 9*t**2 + t + 3278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -19 + 4 - (-1 - 5 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1336, -10822, -36574, -86728, -169420, -292786?\nAnswer: -464962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.5 + -12. Let w = a + -12.5. Is w greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*p + 68, 4*z - 4*p = -p + 72. Suppose -k = 2*k - z. Suppose l + k = 38. What are the prime factors of l?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 - (0 + 6 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2585 + -2561. Solve 19*h + x = -71 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -937.09 times 46\nAnswer: -43106.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 141, 4, 10 in decreasing order.\nAnswer: 141, 10, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 7*q - 387 = -2*i, 0 = -2*q + 3*i + 151. What is the smallest common multiple of 385 and q?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100032130 (base 5) to base 7.\nAnswer: -3224106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12701 to three dps.\nAnswer: 0.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 12 = -l, 0 = 29*l - 2*m - 56 - 25 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -13*r**3\/24 + 33*r**2\/8 - 5*r\/8 + 273. Factor d(l).\nAnswer: -(l - 5)*(13*l - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*j - 846 = 198 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2427*z**2 - 5870*z?\nAnswer: 4854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.63697 weeks to minutes.\nAnswer: 480180.6576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 60*n - 30. Let i(x) = -x + 1. Let h = -770 - -769. Determine h*z(d) - 30*i(d).\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 44\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 3:45 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuyuuuuuuyuuyuuuu. Give prob of picking 3 u.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -32677, -32669, -32647, -32605, -32537?\n\"Answer: f**3 + f**2 - 2*f - 32677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/11 and 97\/314.\nAnswer: 3454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 234?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 - 61971632175.5\nAnswer: -61971632175.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 8) to base 3.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 1590026\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3))**(3\/37)*(m*(m*m**(-4)*m)\/m)\/m*m\/(m*m**(1\/4))*(m**(-5)\/(((m**(1\/6)*m)\/m)\/m))\/(m**(2\/7)*m)**(-6\/11) assuming m is positive.\nAnswer: m**(-228661\/34188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 1. Let v(h) = -4*h**3 + 2. Determine 3*v(b) - 5*x(b).\nAnswer: -7*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1*sqrt(175))*1)**2 + 0 + 5.\nAnswer: 50*sqrt(7) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 31. What is the remainder when (-1 - -214) + 0\/(-6) is divided by w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 9:54 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39*f**4 + 1566*f**3 + 112319.\nAnswer: 156*f**3 + 4698*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20272 divided by 181\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 206 - 204 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 1650.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*o = 18 - 3, 5*b + 35 = -3*o. Let n = -6 - b. Suppose n*d - 58 = 226. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + 2 - 3*g**3 - 3 - 2*g**2 + (-g - 3*g + 6*g)*(-3 + 3 - g**2).\nAnswer: -5*g**3 - g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(325) - (((3 + sqrt(325) - sqrt(325)) + sqrt(325))*1)**2)*2*5.\nAnswer: -20040 - 1500*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 10*v**2. Let y(o) = -4*o - 5. Let r(h) be the third derivative of -h**4\/12 - h**3\/2 + 18*h**2. Let t(j) = -5*r(j) + 3*y(j). Calculate w(t(l)).\nAnswer: 40*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12153 and 67615241?\nAnswer: 4051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*7160\nAnswer: 2864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4556 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3cb8 (base 14) to base 8\nAnswer: -24772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*b + 1858 = 0, 4*b + 216 + 170 = s. Is s a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/3)\/(2\/3). What is the second derivative of u + u - 3*u**4 + 3 - s wrt u?\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2557674766 to the nearest integer?\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - j - 49. Give m(0).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 14) in base 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -38, 0, 15, -5, -42, -17 in increasing order.\nAnswer: -42, -38, -17, -5, -2, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 + -4.99. Which is the third smallest value? (a) k (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2690*y**4 + 55*y**2 - 10*y wrt y?\nAnswer: 64560*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 12:04 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 299*10\nAnswer: 2990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3432 + -1169. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.24 in -2\/3, 0, -0.2123?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*k - 13, -h + 2*k = -0*h - 7. Suppose h*q = q. Suppose p + q*p = -470000. Round p to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v - 7. Suppose 7*d = -16 + 737. Calculate the remainder when d is divided by j(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 - 15*k - 231. Suppose 7*o + 421 = 568. Is d(o) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 - 69*s**2 - 96*s + 82. Calculate o(-33).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*h**4 + 1 + 20 + 0*h**2 - 3*h**2 - h**2 with respect to h.\nAnswer: 28*h**3 - 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 + 59. Suppose 9*s = -10*s + 3*s. Solve -5*d + g + b = s, 4*g + 13 = d + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104911 + -32480. What are the prime factors of s?\nAnswer: 72431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/5)*i*i*i**(-3)*i*i*i*i**4*i*i**4\/i)**(27\/7) assuming i is positive.\nAnswer: i**(1539\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -0.7. Let o = 569\/6 - 95. Which is the second smallest value? (a) -1\/7 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/43464 and -33\/4?\nAnswer: 43464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 12 = 2*l. Let k = -0.772 - 0.228. Which is the closest to -1\/4? (a) 2\/7 (b) l (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16772 is divided by 1674?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 1\/3 (c) -4\/15 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-five halves of a meter?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8 + 3*u**2 - 2*u + 2*u. Let l(q) = -q**2 + 3. Let f(g) = -3*i(g) - 8*l(g). Let n(p) be the third derivative of -p**5\/15 + 9*p**2. Determine f(n(c)).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-6 - -70) + (6 - 24).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-7 + -12) - 9) + 9 - -6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c + 25, -3*z + 1097 = -4*c. What is the remainder when z is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1069925939 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -91*m**3 - 2*m**2 - 2*m - 1. Let i = 14704 - 14694. Calculate the least common multiple of i and u(-1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 69838 + 69838.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -6)*(15 - (-300)\/(-48))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8677, 13605, 18535, 23467, 28401, 33337, 38275?\n\"Answer: x**2 + 4925*x + 3751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190115.\nAnswer: 5, 47, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 24*t - 98. Calculate b(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*y + 15 = 0. Suppose -k + y*b = -34, 3*k + 33 - 96 = 2*b. Suppose 4*v - 45 = -d, 4*d - 4*v = -k + 139. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*s - 111. Let q = -13 - s. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 377*y - 54. Let j(o) = -283*o + 39. What is -11*j(z) - 8*t(z)?\nAnswer: 97*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j + 5*d + 24 = 0, -j + 2*d + 15 = 0. Suppose -5*w = -21 - j. Suppose 4*g = 2 + w. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 270 + -590. Let m be -2 + x\/(-55) + -4. Let f = 6 - 0. Is m >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 (base 10) in base 7?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b**3 - 2*b**2 + 13*b + 23. Let g be w(13). Let l = g - 12221. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -190.6 and 15.471.\nAnswer: -175.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34390 is divided by 11318.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(2\/5)*i)**44)**(-5))**(1\/15) assuming i is positive.\nAnswer: i**(-352\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/3 (b) -95 (c) -1 (d) 0.3 (e) -16 (f) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 482440?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 314709 or 314706?\nAnswer: 314706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 3*k + 4. Let o be f(-3). Let i = o - 6. Let s be ((-8)\/3)\/((-16)\/24). Put 0, s, i in decreasing order.\nAnswer: s, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7409, -14816, -22223?\n\"Answer: -7407*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99458896, -198917797, -298376700, -397835605, -497294512, -596753421?\nAnswer: -696212332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/99 and 26\/514723.\nAnswer: 4632507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -113710.4684 rounded to the nearest 100?\nAnswer: -113700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 58053432?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-83 + 0)\/((-1)\/3). Suppose 5*q - d = -3*l, -4*l + 5*l - 83 = -4*q. Suppose c + 1 - l = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 29*p = 10*p. Let h(n) be the third derivative of 1\/2*n**3 + p - n**2 - 1\/24*n**4 + 0*n. Give h(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6*n**3 - 50*n**2 + 20*n - 9. Let a be c(8). Solve -a*q = 35 + 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/42 and 43\/46.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 96\/10 - (-2)\/5. Let b be x\/4*24\/15. What is t in b - 2*t**2 + 0 - 2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4*j - 0 + 28, 4*l + 73 = 5*j. Let p = -10 - l. Let o(a) = a**2 - 1. Let v(d) = -3*d**2 + 2. What is p*o(u) + v(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607394.\nAnswer: 2, 83, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + b - 440 = 5*t, 3*t = -5*b - 436. What is b rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 510 - 507. What is the derivative of 10*x**3 + 73*x - 40*x**m - 101 - 74*x wrt x?\nAnswer: -90*x**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88*(2461\/(-46))\/(-107)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/13 and 143\/18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60.78 + -0.4.\nAnswer: 60.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 79036 (base 15) to base 5\nAnswer: 44303201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3300235033.\nAnswer: 59, 79, 708053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 28*t**2 + 22*t + 1150. Let b(n) = 13*n**2 + 10*n + 576. What is -13*b(d) + 6*h(d)?\nAnswer: -d**2 + 2*d - 588","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -5.91. Let h = n - 0.04. Let i = 13.87 - 16.87. What is the third smallest value in i, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 663*m + 2 + 6 + 285*m - 949*m - 4.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + g + 2. Let a be l(0). Suppose a*j = -3*t + 2 - 5, 0 = -4*j + 4*t + 44. Solve 0 = j*c - 11*c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -33, -0.1, 1\/964?\nAnswer: 1\/964","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/3, 62\/7, -0.4, 0.607?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qsssssssssssssssssq. What is prob of sequence sssq?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 14700*w + 29420.\nAnswer: -5*(w - 2)*(w + 2942)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 2459640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1, -11, -1\/2, 1\/3, -4, -0.06, -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461.495 rounded to the nearest integer?\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 + -71. Let o(g) = 112 - a*g**2 - 112. Let h(c) = -2*c**2. Give h(o(p)).\nAnswer: -72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -375*k - 1125. Calculate z(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -4. Let r = -3 + m. Put -1, r, 0 in decreasing order.\nAnswer: 0, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*k - 31*k + 2. Suppose y - z = k*y - 9, 5*y - z - 21 = 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 10. Let k(i) = -i**2 - 2*i + 13. Let f be k(-4). Let z be j(f). Solve -2*t = a - 13, -4*t - z*a = -4*a - 21 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9 - 0.1. Let w = -59996 + 10799317\/180. Let y = -2\/45 - w. Which is the closest to 0? (a) y (b) 0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 17, 8, -5, -22?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.15 + 7.96. Let c = 7.791 + u. Let q = c - 0.54. What is q rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -47, 4, -25, -3, -4, 5.\nAnswer: -47, -25, -4, -3, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -333 - 2140?\nAnswer: -3023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 39*t**2 + 194*t - 19. Determine y(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**5\/120 - u**4\/12 - u**3\/3 - u**2 - 1. Let j(r) be the second derivative of n(r). Find a such that j(a) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 1. Let z be a(1). Suppose -n + 3*n - 96 = z. Is 13 a factor of 1*10*n\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -11\/7133160 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 398, 985, 1572, 2159, 2746?\n\"Answer: 587*k - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 158075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*g**2 + 5*g - 90*g**2 + 176*g**2 - 4*g.\nAnswer: 6*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*r + 1223 + 572 = -1321 for r.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1262*u**2 - 154*u - 293835?\nAnswer: -2524*u - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -11. Find the first derivative of 5 - g*d**4 - 9 + 6 wrt d.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 10\/7, -0.4, -3, 20\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 148972 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/3)\/(-8))\/(46\/138)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -121 - -54. Let c = 42 - o. Is c less than or equal to 111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -39*q**3 - q**2 - 32*q + 82. Let o be s(11). Round o to the nearest one thousand.\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*m**2 + 2 - 2)*(0*m + m + 2*m)*(-13*m - 2*m - 9*m) as q*m**4 + a + l*m**2 + t*m**3 + j*m and give q.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 m, and 1 r when four letters picked without replacement from amcacacmaccaarraac.\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-3)\/204)\/((-6)\/(-24))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 1*(2 + -10). Let g = -5 + c. Suppose -g*v + 52 = -2*m, -5*m = -v - 0*v. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pas when three letters picked without replacement from eespeeeap.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123251535 (base 6) to base 12.\nAnswer: -979bab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2223603135 by 5.\nAnswer: -444720627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100021020121212 + -2?\nAnswer: 100021020121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 470*q**4 + 1522*q**4 - 1026*q + 850*q wrt q?\nAnswer: 23904*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2.03. Let x = s + -0.17. What is the third smallest value in 3, -2, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 4) to base 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -88, -1\/9, -2\/15 in ascending order.\nAnswer: -88, -0.2, -2\/15, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-282)\/(-188))\/((-6)\/500). Let a(o) = 2*o**3 + 5*o**2 + o + 7. Let t be a(-5). Let w = t - d. Solve -w*h - 12 = -0*h + 2*z, -5*h = -z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 7*w + 47 - w - 49 - w - 6*w - 24*w**2.\nAnswer: -24*w**2 - 12*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (7 + -4) - (-24 - 2). Let x be w\/10*16\/10. Suppose -3*v = -s + x*s - 54, 3*v + 46 = 2*s. Solve s = 5*k, -a + 5 = -2*k + 18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70\/9 + 368\/45. Let h be 1\/(-3*(-3)\/9). Let g(r) = r. Let m be g(h). Which is smaller: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-1*(-7)\/(70\/15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -250, -256, -262, -268, -274, -280?\n\"Answer: -6*o - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fssfxsssvkffsfk. Give prob of picking 1 s, 1 x, and 1 v.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 24. Let q be (4\/((-24)\/(-3)))\/((-28)\/(-24)). Which is the smallest value? (a) -2\/11 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10527*h**5*q + 13*h**2*j*q**2 + 2*h*j*q**2 - 64*h*j*q + 28*h*j - 5*h*q**2 - 8*q**2 wrt h.\nAnswer: 210540*h**3*q + 26*j*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-2 - -2) + 3 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 9*z**2 - 24*z - 8. Let a(q) = 6*q**2 - 15*q - 5. Let c(j) = 8*a(j) - 5*x(j). Let r(m) = -62*m. Determine r(c(u)).\nAnswer: -186*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwawawwawa. Give prob of picking 1 a and 2 w.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 164 * 20\nAnswer: 3280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 39*r + 1. List the prime factors of j(1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10 + 112\/20. Let v be (4\/c)\/(8\/12). Let b be (-9)\/42 + v\/2. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 f when three letters picked without replacement from {f: 3, t: 9}.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 s when three letters picked without replacement from {e: 4, t: 1, f: 5, s: 4, o: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 110755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minus -214?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9576 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 10:29 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -94 + 8363?\nAnswer: 829c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-362)\/1276*12\/(-21). Let g = c - -4\/203. Suppose -x + 16 = w - 6*x, -4*x - 11 = w. Which is smaller: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 329985 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 702977 and 649?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - 2159632?\nAnswer: -2159621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -59*o**7\/1260 - 5*o**6\/144 - 5*o**5\/12 + 5*o**2. Let x(j) be the third derivative of w(j). Is x(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 46*y**2 + y + 1. Suppose 5*x + 5 = 3*n, -n - 1 = x - 6*n. What are the prime factors of w(x)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3115627797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8520 and 2648016.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4644885864 to the nearest integer?\nAnswer: 1668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12398*c*w**2*z + 2*c*w*z + 2*c*z**2 + 70*w**2*z**2 - 154*w**2*z - z**2 wrt c.\nAnswer: -12398*w**2*z + 2*w*z + 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(-13 + 13 - 8*g)*(-11*g - 6*g - 3*g) - 3*g**2 + 8*g**2 - 3*g**2 + (3 - 3 + 2)*(-6*g**2 + 0*g**2 + 4*g**2).\nAnswer: -162*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6315 and 25?\nAnswer: 31575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 3) to base 16.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21321 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 0*c. Solve c = -y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - q - 3. Let d be (-3)\/((-3)\/(-2)) - -2. Let f be k(d). What is the nearest to 0 in -1, 2\/9, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -7. Let b be 7 + r + 2079996\/(-2). Round b to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/45 - (-1101)\/15. Let x = -68 - f. Is -141 equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvefj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1025 and 2498130?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 3\/13, 0.8, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 801 and 38?\nAnswer: 30438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538*y + 3*p = -520*y - 138, 39*y + 2*p = 34*y + 27 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61895 = -1287*u + 16868 - 5007 + 4751 for u.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99.96 - 100. Let p = 2\/132885 - -436792973\/1461735. Let b = -299 + p. Put r, b, -5 in decreasing order.\nAnswer: r, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/14)\/c**(-7\/3) assuming c is positive.\nAnswer: c**(95\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17677769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 8*f**2 - 8*f + 5. Let h(r) = -r**3 + 9*r**2 + 9*r - 5. Let s(d) = 5*h(d) + 6*v(d). Calculate s(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 82 (b) -5 (c) 0.4 (d) 99 (e) 0.3 (f) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/1064 and 91\/20?\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(18)\/sqrt(225)))**2.\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*p + 340. Suppose 352 = 4*r + p. Suppose -5*z + c = 46 - 157, -3*z = -5*c - r. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -557780961 + 557780958.44999757. Let o = -2084 - -2081.45. Let s = a - o. Round s to 7 decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1171268, -1171271, -1171276, -1171283, -1171292, -1171303?\n\"Answer: -u**2 - 1171267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 7*n**3 - 17058*n**2 + 6038633*n + 863010 = 0.\nAnswer: -1\/7, 430, 2007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 0*c**3 - 58*c**2 - 5\/24*c**4 + 0 + 0*c. Let b(l) = 0*l + 0*l - 2*l. Give z(b(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1504264 + 1?\nAnswer: 1504265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 9 + 6 = 0, 4*i = 2*w - 12. Suppose 5*b + 4*q - 22 = -w*q, 3*q = -b. Solve -2*f - b = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -1, 59, 131, 209, 287, 359, 419?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/2)\/(250\/(-50))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1129.8918 + 1130. Round c to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**3 + 39 + 0*b + b**2 + b - 5*b**3 + 38. Suppose s = -s. Is u(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -7)*1\/1*1. Find the third derivative of 22 + 3*q**4 - 22 - 20*q**2 + u*q**4 wrt q.\nAnswer: 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 249*a**2 - 295*a + 893. Is i(3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 386, -396, -1642, -3340, -5478, -8044, -11026, -14412?\nAnswer: -18190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 10*h + 30. Let y be n(-10). Differentiate 31 + 37 - y + 28*i with respect to i.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q\/((q**(-13)*q)\/q))\/q))\/q)\/((q*q\/(q*q**(-2\/3)\/q))\/q)*(q\/q**1)**36)**(8\/11) assuming q is positive.\nAnswer: q**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - -0.7. Let x = -8 + 7. Is j bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 3. Let d be x(3). Suppose c - 6*c = 3*k + 538, 4*c - 2*k + 426 = d. Let b = c + 156. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10266*s**4 - s**2 + 1224*s - 9.\nAnswer: -123192*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/6)\/(1\/2). Let o = -19 + 15. Put m, o, 0 in descending order.\nAnswer: 0, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849 a factor of 8004090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19\/5 in 0.4, -2\/3, 1, -3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-14)*210\/(-60)*(-8)\/14.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**2 - 2*h - 9. Let k(g) = -g**2 - 2*g - 4 + g - 2*g**2 + 2*g**2. Let t be -1*1*(-5 + 0). Give t*k(p) - 2*f(p).\nAnswer: p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -251, -234, -217?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-one halves of a millennium?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 4) to base 7\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/3 (b) 0.1 (c) 1\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 2*n + 1. Let d(s) = -3*s**3 + 4*s + 3. Let u(f) = -d(f) + 2*q(f). Let g(h) = -24*h**3 + 16. What is g(p) + 16*u(p)?\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 + -115. Suppose -l*j + 36 = -9*j. Solve k = q - j, 2*k + 6 = -4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40649 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*v**2 - 178*v - 126*v + 310*v to i + k*v**2 + u*v and give k.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25547\/63159 + -102\/569. Is 0 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1043809\/100 + 10438. Calculate the common denominator of v and 2175\/300 + 2\/4*-1.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - 0. Let l = -1.3 - -0.94. Let u = l + 0.06. Put 0, u, z in increasing order.\nAnswer: u, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-176*c**2 + 75*c**2 - 125*c**2)*(2*c**3 - 6*c**3 - 4*c**3) + (-2*c + 2*c + 2*c**2)*(2*c**3 - 3*c**3 + 2*c**3).\nAnswer: 1810*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*b**2 - b + 6*b**2 + 6 + 17*b**2 in the form j + z*b**2 + q*b and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(sqrt(1008)*1)**2 - (sqrt(224)\/(sqrt(16)\/sqrt(2)))\/sqrt(4)*-5.\nAnswer: -4035 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 1:18 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-23)\/((y\/(y**(-4\/3)*y*y)*y)\/y))\/(y**(-3\/13)\/y*y**13) assuming y is positive.\nAnswer: y**(-1369\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 33.35. Let q = 2.65 - y. What is the nearest to -2 in -3\/5, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-165)\/(-550) + 0 + 71\/(-170).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*a - 6, -5*a - 15 = -u - u. Suppose -5*r - 27 - 23 = -l, u = -3*l + 2*r + 189. Is 27 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 224 = 4*x. Let r = x + -22. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1338 and 18?\nAnswer: 4014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -32.1 and -0.3?\nAnswer: 31.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-4)\/20) - 4. Let v be 3*(-1)\/(-1) + c. Let 11 - 4 - 7 + 4*y**2 - 50*y**5 - v*y + 33*y**3 - 25*y**4 = 0. Calculate y.\nAnswer: -1, -2\/5, 0, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2 (b) 3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -52536, -1, 11 in decreasing order.\nAnswer: 11, 2, -1, -52536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3429560524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110 + 75. Let k be (14\/z)\/(16\/(-30)). Let o = -2 - -2.1. Which is the biggest value? (a) k (b) o (c) -0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**4\/12 - f**3\/3 - 6*f. What is the second derivative of c(p) wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1063234 + -5?\nAnswer: -1063241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6773 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*i - 16 = l + 98*i, 4*i = -16. Let c(j) = -j**2 - 17. Determine c(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.041, 1\/16, -0.4, 1?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 4*i - 1, -11*p + 15*p - 9 = 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*o = -10, -5*o + 1 + 2 = 4*f. Let k be 8\/(-4) + 14\/1. Suppose -f*w - 65 = -k*w. What is the greatest common factor of w and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 98292.9 days?\nAnswer: 8492506560000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.3 - -7.7. Let b = -70 + t. Let y = b + 58.999981. Round y to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b = 0. Let l(z) = -z**3 + z**2 - z + 11. What is the units digit of l(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/(-60))\/(3\/4). What is the nearest to f in 0.1, -24, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 7*m - 50. Let c be 2\/(-8) - m\/20. Let l(h) = 10*h**2 - 3*h - 2. Let v(n) = -5*n**2 + n + 1. Let w(u) = 2*l(u) + 5*v(u). Calculate w(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 11.168. Let w = -0.232 + o. What is the fourth smallest value in 2\/3, 0.05, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(605\/33))\/(3*5\/10).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3199 divided by -44.\nAnswer: 3199\/44","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 62 + 214*j - 105*j + 26 + 36 - 110*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1\/2, -3\/2, -25?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*j + 60*j = 10, -4*u + j + 202 = 0. Solve 5*c + u = 31*b - 26*b, 4*c + 20 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28234 = -700*v + 50833 + 31301 for v.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - ((-3 - -2) + -7). Suppose 4*f - 49 = -2*j + 37, -46 = -2*f + 2*j. Calculate the remainder when f is divided by -1 + 10 + 3 + -11 + q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 + -68. Let w be 0 + t - (2 + 4). What is the fourth smallest value in w, -2, 5, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 31770.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.3 + -2.4. Does 16 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = s - 25, 14*d + 8 = 14*d + 2*s for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 50*n**2 + 13*n + 37. Give d(-2).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + (sqrt(405) + -2)*-6 - (5 + sqrt(605)*-2))*6)**2.\nAnswer: -11592*sqrt(5) + 96984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -244*(2 + 55\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 91, -0.2, 2\/27?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -207 (base 10) to base 13.\nAnswer: -12c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2141 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*d - 6 + 22, 2*m + 8 = -2*d. Suppose -3*n = -3*q - 705, m = 5*q - 4*q + 4. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19910690.\nAnswer: 2, 5, 131, 15199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.265 - -2.5956. Let g = k + -0.245. Let d = -0.4014 - g. Round d to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8*o**3 + 6*o**2 - 102*o - 328. Give j(-3).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75861 - 76489.006. Let h = d + 769.00544. Let q = h + -141. What is q rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 2. Let k = -3.9962 - y. Round k to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2*(-1 - -2))\/(56\/(-224)). Let d be -4*(-53)\/68 + w\/68. Solve 0 = d*q - 5*t - 15, 0*t + t = q - 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + (-7 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32043412 (base 5) in base 9?\nAnswer: -448412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1511 (base 6) to base 12.\nAnswer: -297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -5 (c) 2.3 (d) 6 (e) 2.81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 10\/29 (c) -5\/2 (d) 10 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 3*d**2 + 2. Let h(a) = -2716*a**3 - 21*a**2 - 13. Calculate -6*g(v) - h(v).\nAnswer: 2722*v**3 + 3*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0 = 3. Let l = v - -2. Let w = l - -9. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/25)*y**23 assuming y is positive.\nAnswer: y**(577\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 + 1 + 9*d - 6*d - 7*d.\nAnswer: -2*d**2 - 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 28*s + 337. Calculate j(37).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1 (c) 0.2 (d) -854\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3387759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 7*n**2 - 5*n - 4. Let d be k(6). Suppose 5*i - 8 = -d*g + 6*g, 2*i + g + 2 = 0. Suppose i = 8*c - 3*c - 25. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 183*d - 4. Is z(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, p: 3, s: 2, u: 2, i: 3, f: 3}. Give prob of picking 1 i and 2 s.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 81*z**2 - 12*z - 5. Let a(y) = -81*y**2 + 10*y + 4. Determine 5*a(o) + 4*p(o).\nAnswer: -81*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4673.\nAnswer: 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24787499 times 0.3?\nAnswer: 7436249.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 6) to base 12\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*x + 691 = 0, -2*y - 371 = -2*x - 103. Let o = y - -207. What is the highest common factor of 70 and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 1. Let f(z) = -4*z + 0 + 3 + z. Suppose 0*q = 3*q + 4*y - 42, 43 = 4*q + y. Suppose -5*d = -q*d + 25. Calculate d*x(c) + 2*f(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 5*g - 7 = 3*g, t + 6 = -3*g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 16. Let a be n(7). Let u = a - -2. Let i be (0 - -5)\/(-35) + (-234)\/(-21). Is i at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73481\/18 - 4088. What is the common denominator of t and -95\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 197011898?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59326*a**5 - 16*a**4 + 4*a**3 + 73*a**2 - 1753446.\nAnswer: -3559560*a**2 - 384*a + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08085396 rounded to four dps?\nAnswer: 0.0809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*x + 4. Solve -11 = -x*j - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 1, i: 2, v: 2, f: 2, s: 1}. What is prob of picking 1 v and 1 i?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (882\/(-70))\/21*(-3)\/51*-5?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 5*p**2 + 3*p - 8. Calculate z(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 847847199 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l + 2 - 2 + 26*l to z + d*l and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -356201836*f - 130023813?\nAnswer: -356201836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 287*c - 2419. Let a be h(9). Solve a = 9*d + 11 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a millennium in decades?\nAnswer: 1520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50175148 to the nearest integer?\nAnswer: 7083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 25702.\nAnswer: -7\/25702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 4. Suppose b = 5*z - 9 + 4. Put -5, 2, z in decreasing order.\nAnswer: 2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/48*-56*(-3)\/(-2).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 4*u + 44, p + 8*u - 10 = 10*u. Solve 4*a + p = -l + 4*l, -5*a - 15 = -5*l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/2 and 5\/2162.\nAnswer: 2162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 2*i + 3. Suppose -2*d + 15 = -29. Suppose 2 + d = -8*s. Determine n(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -1.7, -1\/7, 5.9, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -1. Let x be (-1 - q)\/(-1 + 2). Is x - 1 - (-10 + -1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 379545?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 9*r**2 + 2*r - 3. Let b be v(-8). Calculate the remainder when (-3)\/b - (-4900)\/375 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(6\/8))\/(-2) + 24. Find the third derivative of -108*p**3 + 108*p**3 + 13*p**2 + z*p**4 wrt p.\nAnswer: 528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-3 - -10) - (-6 - (1 + -18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -1\/2*k**2 + 0 + 1\/6*k**3 - 3*k. Differentiate a(s) with respect to s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*u - 41*u - 6752 = 92*u + 3832 for u.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8850*g**2 + 178*g - 19. Is m(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 42 (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/((-4)\/(1296\/135)*(-21)\/(-15)*-9).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (66\/22)\/(6\/(-10)). Suppose 0 = -5*b + 2*a - 16, 3*b - 2*a = a - 15. Put j, b, 2 in descending order.\nAnswer: 2, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4252817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -8*f**2 - 9170*f + 82433. Give d(9).\nAnswer: -745","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23692 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/30)\/(-2 + (-224)\/(-108)). What is the highest common factor of k and 2169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 - ((9 - 12) + 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 141258 divided by 4162?\nAnswer: 70629\/2081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -34 + 46 - 35 + 30*c. What is the units digit of u(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p - 141275849 + 141275583 = 0 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*r**6 - 7*r**5 - 550996*r**3 - 6*r**2 - 13229705*r wrt r?\nAnswer: 1680*r**3 - 420*r**2 - 3305976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-3 + (1 - (-1 + -20)) + -9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*g + 11, g = -4*t + t - 3. Suppose 4*o = 2*f + 2, 3*f - 6 = -3*o + 18. Suppose -f*p - 4 = 1. Is t >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 86*y + 37. Give h(-1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1405 and 340.\nAnswer: 95540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/13)\/(d\/d**5*d)*d**6\/(d**0\/d) assuming d is positive.\nAnswer: d**(128\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 108\/288 + (-54)\/16. Let x(f) = f**2 + 2*f - 1. Give x(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 29. Let m = 27 + w. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 - 2799703720802?\nAnswer: -2799703720801.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d. Suppose -i + 53 = -2*b - 4*i, -3*i + 22 = -b. Let l = b + 51. Let m(o) = -26*o + l*o - 7*o**2. Give m(w(k)).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 232440 + -15?\nAnswer: 232422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2057052 and 1221?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjr when three letters picked without replacement from {t: 1, g: 4, j: 1, r: 7}?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5148 divided by -132?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 4. Suppose 0 = 3*i - a - 9, -4*i - a + 18 = 6. Let r be j(i). Which is smaller: -1\/10 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**8\/56 + d**5\/5 - d**4\/12 - d**3\/3 - 18*d. Find the third derivative of s(f) wrt f.\nAnswer: 120*f**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 665662667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvv. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 139, 1706, 37, 1 in decreasing order.\nAnswer: 1706, 139, 37, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8075*-0.04229.\nAnswer: 341.49175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (-3*sqrt(52))**2) + (sqrt(104)\/sqrt(2) - sqrt(52))**2 - (2 + (sqrt(13) + sqrt(39)\/(sqrt(3)*-2))**2).\nAnswer: -1893\/4 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*z + 3*x, 0*z + x = -z. What are the prime factors of 5\/z + 1887\/6?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -893*x**2 + 13*x - 2. Let t be c(-2). What is t rounded to the nearest 100?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 324, -5.\nAnswer: -5, -1, 4, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2289, 2286, 2283, 2280?\n\"Answer: -3*g + 2292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 63*m - 360. Determine t(7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4 = 1, -2*c + 27 = -j. Suppose -5*u = -4*u - c. Let k = u - 6. Solve k*q + 12 + 13 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -711, 16, -8, 4 in descending order.\nAnswer: 16, 5, 4, -8, -711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z**3 + 3*z**2 - 3*z. Let p(c) = 14*c**3 + 8*c**2 - 9*c. Give -3*p(m) + 8*u(m).\nAnswer: -2*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/21*t**4 - 14\/3 - 52\/7*t**2 + 32\/3*t + 32\/21*t**3.\nAnswer: -2*(t - 7)**2*(t - 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 9. Let d = -0.2 - -0.3. Let a = d + 1.9. Is h bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 85246.73 days?\nAnswer: 7365317472000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*a**4 - 2*a**3 - 112*a wrt a?\nAnswer: -240*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 h when two letters picked without replacement from {q: 1, h: 3, v: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 60 = -4*d, -442*d + 5*p = -445*d + 73. Let y(n) = -8*n - 1. Let r(v) be the third derivative of v**4\/24 - v**2. Give d*y(q) + 4*r(q).\nAnswer: -4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3570*c**2 - 12*c - 10. Let t(d) = 1782*d**2 + 5*d + 4. Determine -2*s(w) - 5*t(w).\nAnswer: -1770*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4309 is divided by 331?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -18439.\nAnswer: 6\/18439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2. Let g = 4 + -5. Which is the second smallest value? (a) -2\/15 (b) o (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 21*o + 17*o - 11, 23 = -2*q + 16*o + 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2615801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -21. Suppose -4*u = -a - 22, u - 2*u - 3*a - 1 = 0. Let v = u + z. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-2)\/20*5\/(-4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 13*z**2 + z - 24. Let w(l) = -7*l + 80. Let c be w(17). Let v = c - -51. What are the prime factors of q(v)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 246556401 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 76, -0.3, -1\/4 in descending order.\nAnswer: 76, 0.4, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 259138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/1*(-2)\/(-2). Suppose -k*z = p - 16, 20 = z + 2*z + 5*p. Let d = 7 - 4. Solve z*w - 4*y = 5 - 4, 0 = 5*w - d*y + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 3.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*d - 137 = 3. Calculate the least common multiple of d and 1940.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1492.55 - -21394\nAnswer: 22886.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 10:33 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - p**2 + 4. Let k be b(0). Let d be (-18)\/(-6) - k\/2. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 8. Let a = -0.7 - -0.6. Let h = 0.1 + a. Sort h, c, 1 in descending order.\nAnswer: c, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5313351 (base 10) in base 11?\nAnswer: 2aa9aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus -99587700335?\nAnswer: 99587700325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -224.6 to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/37)\/s)\/(s*s*s\/(s\/(s\/(s\/s**(-10))*s))))**(-14\/9) assuming s is positive.\nAnswer: s**(-3094\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.4 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/9 + 1420*l**2\/9 - 252050*l\/9 = 0. What is l?\nAnswer: 0, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603359 is divided by 573.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40a (base 12) to base 6.\nAnswer: -2414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1698471 and -3.\nAnswer: 5095413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r - r)*(-1 + 5 - 2) + 4 + r - 4 + r + r + 0*r + 21*r + 23*r + 13*r + (4*r - 4*r + r)*(1 - 2 + 3).\nAnswer: 64*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -546? (a) -4 (b) 21837 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 6*k - 32*k = -18*k - 23, -2*h = -5*k + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2837545*j**2 + 41*j - 41*j - 1178801*j**2.\nAnswer: 1658744*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14207883?\nAnswer: 3, 29, 163309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*p = -247*p + 60. What is the highest common divisor of p and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-168)\/(-140))\/((-2)\/(-10)) + 1647?\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-35)\/(-140))\/(2\/(288\/140)))\/((-3)\/2)\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 8914 + 2944 + 2985 + 2985.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 75604*j - 2223. Is k(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 410 + -20014?\nAnswer: -14104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + -50 + 32 + 23.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143*z**3 - 15*z**2 - 2?\nAnswer: -858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(180)*-1 + sqrt(180))\/sqrt(9)*2)\/(-5*(sqrt(288)\/sqrt(6))\/sqrt(3)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 193 + -225. Let k = -29.4 - z. Which is the biggest value? (a) -1\/8 (b) 1\/4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -620*u**3*y**4 - 2*u**3*y - 20*u**2*y**4 - 13532*u*y**2 wrt y?\nAnswer: -14880*u**3*y - 480*u**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 9*m + 696 = 0. Suppose -5*a + x = -2*x - 739, -2 = -x. Let k = m + a. List the prime factors of k.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4 + 1 + sqrt(1300))*2)**2.\nAnswer: -15900 - 1200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -16984 * 9\nAnswer: -152856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*l**2 + 3*l**2 + 65*l**2 + 275*l**2.\nAnswer: 400*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = -8*m - 1422. Suppose -10*q + m = -7*q. Calculate the common denominator of 37\/6 and q\/(-14) + 6\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**3*q*((q\/(q*q**(-1\/3))*q)\/q)\/q assuming q is positive.\nAnswer: q**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + f + 293 = -555, 3*f = 3*c - 516. Suppose 165*j = c*j - 8. Solve -j*x = -3*b - 0*x + 3, -b = -3*x + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v, -3*v + 466 = -2*p - 8*v. Let l = 2565\/11 + p. Which is the third smallest value? (a) 2\/35 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, c: 9, p: 2}. What is prob of sequence pncc?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 200 (base 4) to base 10\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v - 2*v**5 - 2*v + v**5 - 2*v**5 + 2*v**5 + (-v**3 + 4*v**3 - 2*v**3)*(v**2 + 0*v**2 + 0*v**2) + v**5 - 12*v**5 + 6*v**5.\nAnswer: -5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + s - s + (-5*s + 3*s + 0*s)*(-3 - 3 + 5) + 4 + s - 4)*(-1 + 1 + 2)*(9 + 5 - 8).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 3, -1\/82, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05052 plus -0.11?\nAnswer: -0.05948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.04 + -0.9. Let l = -0.3 - t. Let c = l - -0.14. Put c, -3, -1 in decreasing order.\nAnswer: c, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 12:47 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4d1 - -3?\nAnswer: -4ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.09 (b) -2\/9 (c) 5\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 2)*(-43*h + 3*h**3 + 47*h**2 - 47*h**2)*(-28 + 28 + 19*h) in the form v*h + k*h**2 + s*h**3 + j*h**4 + l and give j.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8650 or -10479?\nAnswer: -10479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 122646136 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2. Let z(f) = -320 - 22*f**2 + 321 + f - f. Give y(z(m)).\nAnswer: -1452*m**4 + 132*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z - 4. Let t(s) = -3*s + 4. Let w(o) = -5*p(o) - 6*t(o). Determine w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.952387 times -0.3?\nAnswer: -12.2857161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**4 - 750*i**3 - 13392*i**2 - 59778*i - 79299 = 0?\nAnswer: -11, -3, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d**2 - 19*d - 53. Let s be p(-8). Let q = s - -889. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150214 (base 8) to base 11.\nAnswer: 37125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhsws. Give prob of sequence yhs.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-4 - -8) + 0\/(-2). Suppose -4*z = 4*n - 608, -465 = -a*z + 3*n + 15. Calculate the remainder when z is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011001110111000 - 1?\nAnswer: -10011001110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3.7 (b) 3\/7 (c) 2.5 (d) 17\/3 (e) 0 (f) 7 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2 - 169188*r + 2385381612 = 0. What is r?\nAnswer: 28198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3210295?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f - 12. Let t be m(9). Suppose v - 47 = t. Suppose 0 = 4*b + v - 315. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1. Let c(l) = -2*l - 9. Calculate -4*b(i) - c(i).\nAnswer: 2*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epeeeepppppeepppepep. Give prob of picking 1 p and 2 e.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 283256 to the power of 1\/2, to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.400612 grams in nanograms?\nAnswer: 7400612000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3, -4, 0.048, 1\/3, 0, 1\/6, 3\/43?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g + 4654 = 371*g - 35*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - 12*a**2 + 5*a**2 + 5*a**2)*(-4*a + 2*a + a) to the form f*a + v*a**2 + s + i*a**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 1030 = 5*a + 4*t, -5*t + 325 = a. Let s = 336 - a. Which is smaller: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 8. Let r = -5 + f. Suppose -5*y + 16 = -y. Solve y*s = -r*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93 times -29115\nAnswer: -2707695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*d + 87*d - 25*d + 22 - 20*d - 18*d.\nAnswer: d + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-117)\/(-396))\/(-13)*-16*1?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.014 in 4, 0.3, 3\/4, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = s - 8. Let l(u) = 18*u + 337. What is the remainder when l(-15) is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/((-4)\/(-2)) + -13*15\/420*24?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4 + 10. Let k be g\/(-6) - 14\/(-4). Suppose 3 = -k*t + 6*t. Sort t, 0.1, -2.\nAnswer: -2, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, o: 4}. What is prob of sequence oooo?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 2*l = -16, -3*f - 5*l = -5*f + 19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.198 in -0.1, 0.346, -17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*q + 3*q, 2*n = 2*q + 2. Suppose 0 = n*g - 2180 + 792. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -14. Suppose -g + 54 - b = 0. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = u - 2206*o + 2208*o, -6 = o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*b - 3*b - 3*b)*(-2*b + 0*b + 3*b) - 1 + 1 + b**2 + 2*b**2 - 2*b**2 - 3*b**2)*(-27*b**2 + 2571*b - 2571*b).\nAnswer: 108*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2621 + 2616. Do w and 932 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 860755921 to the power of 1\/3, to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3609 a factor of 123247350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 5362.\nAnswer: -4289.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15\/58 (b) -4\/7 (c) 1 (d) 0.233 (e) 2 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**2)**(-31))**(-4\/7))**(-2\/15))**(1\/20) assuming b is positive.\nAnswer: b**(62\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a49 - -44b3?\nAnswer: 500c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336080 - 168046 - 7*w - 168034.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 6:50 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 1\/5)*-2. Let f = 1.5049 - 6.5049. Which is the closest to u? (a) -2\/19 (b) 16 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -631765*k. Let a(v) = 31*v**2. Give r(a(q)).\nAnswer: -19584715*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.7816 - 1.6816. Which is the closest to n? (a) -2\/17 (b) 0.4 (c) -240\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.3 - -0.3. Let l = -23 + 22.9. Which is the nearest to 1\/3? (a) t (b) l (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009951 rounded to seven dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5376 and 62208?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*11)\/(596\/298)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -3)*(-2 - -1). Let y be (-1 + (q - -3))\/(-1 - 0). Let n(p) = p**2 + 6*p. Calculate n(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-14)\/132))\/(9\/14*287\/(-123)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 - 9*g**2 + g - 2. Let h be c(6). Suppose -2*u + h = 2*u. Calculate the greatest common divisor of 70 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by -316.\nAnswer: -12\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -295 in 1\/3, 6\/215, 8.6?\nAnswer: 6\/215","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d - d - 4*d + 28*d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*z + 10, -7 - 4 = -4*z + 5*a. Suppose -c + z*u = 276, u - 564 = 2*c + 5*u. What is c rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2. Let f(k) = 10*k - 15. Let g = 39 + -69. Let u(i) = -i + 1. Let c(x) = g*u(x) - 2*f(x). Give d(c(o)).\nAnswer: 200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*s = 970, 6*c - 5*s - 970 = c. Suppose 182 = -4*u + c. Suppose -v - 10 = v, -4*b + u*v + 351 = 0. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -390\/53 < 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 7 = -2*l - 26, 0 = 4*l + 16. Suppose 2*b - 160 = -4*r, 0*b + 2*r = -5*b + 392. Suppose -w*c = -17 - b. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3 + 28 = 4*c, j + 3 = 2*c. Suppose -w - 69 = -c*w. Let m = -11 + 38. Solve -5*i - 5*k - 8 = -w, -i + 5*k - m = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((147\/(-133))\/7)\/(-5))\/(18\/20)\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/v**(-14)*v)\/v)*v\/v**(-7))**(12\/7)\/((v*v**(2\/7)*v*v**(1\/12))\/(v**(-2\/17)\/v**(1\/3))) assuming v is positive.\nAnswer: v**(-18715\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 70, 111, 152, 193?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyggyggyyyyg. What is prob of picking 1 y and 2 g?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 62\/153, -2.5, -303\/4?\nAnswer: -303\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 + 3*l**2 + l - 3. Let k be a(3). Let b = k + 57. Suppose 2*h - 5*u = -h + 46, -2*h + b = -3*u. 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: Two letters picked without replacement from {p: 9, g: 5}. What is prob of picking 1 p and 1 g?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 - -0.38. Let z = -0.19 - -0.45. Let p = -0.06 + z. What is the third biggest value in -2\/7, p, q?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10428911 and -5?\nAnswer: 10428916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 29\/(464\/(-90400))*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 44. Let h(y) = 2*y + 1. Let j be h(1). Let n(b) = -b**2 - b - 8*b**j - 1 + 3*b**3 + b**3 - b**3. What is n(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295562287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-10))\/2*-1. Let g be (-10)\/(-35) - (-916)\/(-266). Let v = g + 335\/76. Which is the nearest to -1? (a) l (b) v (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 10*b + 9*b = -1352, -4*s + 1328 = -5*b. What is the remainder when s is divided by 29?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(3\/(-93)*1). Suppose -4*o + 1 = 4*y - 3, -r = -y + 5*o. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 10*a**2 + 4*a - 25. What is the tens digit of p(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - u**2 + u**2 + 0*u**2 - 3*u**2 + (2*u - u - 2*u)*(0 + 2*u + 0) + (13 + 10 - 3)*(1134*u - 3 - 1161*u + 5)*(-2*u - u + u).\nAnswer: 1075*u**2 - 80*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -4*h - h. Let g = -13 - h. Suppose g*r + 59 = 953. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55716 - 5060 = -4*v. List the prime factors of v.\nAnswer: 2, 71, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 10*n - 1794 + 902 + 930. Suppose 5*x + 2 = -2*c, x + 36 + 4 = -4*c. Let r be w(c). What is the highest common divisor of r and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1181*a + a**3 + 2360*a - 1179*a.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 5*n)*(-5 + 1 - 1 + (2 - 2 + 2)*(1 + 4 + 1)).\nAnswer: 35*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 5. Let b = 6 + l. Let t be (-6)\/9*3\/b. Solve -t = -k + 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w*z**3 - 5*w*z + 912*z**4 - 63*z**2 - 2 wrt z?\nAnswer: 6*w + 21888*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-1\/8)))\/s*s**(5\/3)*s**1*s**0*s assuming s is positive.\nAnswer: s**(61\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, -0.093, -5?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q + 16. Let t be 18\/q*(-2)\/(-3). Let m = 5 - t. Solve -3*a + 6*z - 3*z = 12, m*a - 5*z + 17 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from {x: 11, t: 4, s: 1, e: 3}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -768 - 2?\nAnswer: -76a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(1\/2)*r)\/r)\/((r\/r**3)\/r)*((r\/(r\/(r*r**(-1\/3)*r*r)))\/r)\/(r**2\/r*r) assuming r is positive.\nAnswer: r**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyo when four letters picked without replacement from {y: 7, q: 10, o: 1}.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from hhhxwwhhx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (0 - (1 + -5)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 74\/(-126) + 2\/14. Sort 2\/23, v, -3 in decreasing order.\nAnswer: 2\/23, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szbyx. Give prob of sequence xsbz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5133 is divided by 284?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 697, 691, 681, 667?\n\"Answer: -2*g**2 + 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 2*o**2 - o + 54. Calculate v(0).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/6 + 663*a - 3980\/3.\nAnswer: (a - 2)*(a + 3980)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 227, 244, 279, 338, 427, 552, 719?\nAnswer: 934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/19888 and 179\/398112?\nAnswer: 44986656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 5*q**2 + 9*q - 1. Determine g(-4).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 - (2 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 223 + -5?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2 + 3. Let h(d) = -28 - 15*d**2 - 18*d**2 + 23 + 26*d**2. Determine 3*h(g) + 5*y(g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135 - 437*m**2 - 135.\nAnswer: -437*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 568930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84)*2 - sqrt(84))\/sqrt(3) + sqrt(28) - -5*sqrt(56)\/sqrt(2))\/((sqrt(192)*1)\/sqrt(12)))**2 + 4.\nAnswer: 359\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at most as big as 44331\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 143.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/12*(-36)\/(-20). Let y(o) = -7 + u*o - o**3 + 6*o**2 - 15*o**2 - 7 + 9. Give y(-10).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**8\/168 + 43*i**6\/30 + i**4\/24 - 302*i**3 - 790*i**2. Find the second derivative of w(v) wrt v.\nAnswer: -40*v**3 + 1032*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10260 + -10311.4. What is the smallest value in 5, c, -2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 16*p + 5. Let t = 206 - 202. Let n(d) = d**2 + 9*d + 2. Let w(c) = t*b(c) - 7*n(c). Let z = 0 - 0. Calculate w(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1686 (c) 5 (d) -78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8014707, -8014693, -8014679?\nAnswer: -8014665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4)*v\/(v*v**(2\/9))*(v**(-1\/4))**10*(v**(-1\/8)\/v**4)**(-1\/20) assuming v is positive.\nAnswer: v**(-9383\/1440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2384 or -2215?\nAnswer: -2215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 8:23 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 125 + -75. Let o = g + -15. Suppose o = 3*d + 4*f, -f - 70 = -5*d + 4*f. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*v - 151*v - 94*v = -6304749. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**5\/130 + o**4\/26 - 2*o**3\/39 + 10*o. Factor f(p).\nAnswer: -2*p*(p - 2)*(p - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21*7\/378)\/(406\/174)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**9\/(m\/(m\/(m\/m**(-23)))*m) assuming m is positive.\nAnswer: m**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, -12, 25, 12, 4 in ascending order.\nAnswer: -12, -6, 1, 4, 12, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 3403.\nAnswer: 27224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -932431 divided by -9?\nAnswer: 932431\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-3 - 10 - -24).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**2 - h + 1. Let b be ((-104)\/(-48))\/13*6. Let l(k) = -7*k**2 + 10*k - 18. Let j(c) = b*l(c) - 2*y(c). What is j(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 + -336166?\nAnswer: -336206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.6 (b) 4 (c) -9\/1060 (d) -1\/3 (e) -2 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 303 - 154. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*d**3 - 16*d - d**2 + 0*d**2 - 1 + 4*d - 92*d**3 to the form k*d**2 + h*d + q*d**3 + z and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3189, -3205, -3217, -3225, -3229, -3229, -3225?\n\"Answer: 2*w**2 - 22*w - 3169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*-2 - sqrt(153)) + sqrt(153) - sqrt(153))*-1*-5 + ((1 + sqrt(153))*-6 + 2 + (sqrt(153) - sqrt(153)*-1))**2.\nAnswer: 51*sqrt(17) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17934 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -746, -1176, -1562, -1904, -2202?\n\"Answer: 22*j**2 - 496*j - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10, -30, -96, -188, -306?\n\"Answer: -13*f**2 - f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*p - 31*p = -55360000. What is p rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 2. Let t be c(-6). Suppose 4*k + 4*u = -0*u - 12, 26 = 3*k - 4*u. Suppose 56 = -2*h + 6*h - t*s, -k*h = s - 13. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -28*q**2 + 13*q. Let g(r) = r**3 - 52*r**2 + 25*r. Give 4*g(h) - 7*w(h).\nAnswer: 4*h**3 - 12*h**2 + 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15735926.\nAnswer: 2, 61, 128983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -9*q**4\/2 - 133*q**3\/2 + 39*q**2\/2 + 133*q\/2 - 15 = 0.\nAnswer: -15, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + v - 2*v)*(5 + 7 - 2*v - 3).\nAnswer: -6*v**2 + 27*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1626 or 1627?\nAnswer: 1626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 23*s - 42 + 54 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7168.06765 plus -0.088479?\nAnswer: 7167.979171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-22) + -26*(-17063)\/(-565565).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(51)*1)\/sqrt(3).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + f - 5*s + 18 = 0, 5*f - 7 = -4*s. Suppose -4*n = 2*g - 3*g - 107, 0 = -5*n + g + 134. Suppose 5*z - n = -7. Sort z, f, -5 in decreasing order.\nAnswer: z, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5)*1 - (-28)\/(-5). Let q(x) = x**2 - 6*x + 6. Let i(n) = n - 1. Give t*i(v) - q(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107 + -290. Let c = -167 - u. Calculate the remainder when 57 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73856 divided by -5.\nAnswer: 73856\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*t - 3*t - 15, -3*t = -5*m - 25. Let k be 1*-3 + (m - 0). Let v(r) = -r**3 - 5*r**2 + 3. Calculate the remainder when 8 is divided by v(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17 and 9?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20837 is divided by 300?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13335, -26702, -40069, -53436, -66803, -80170?\nAnswer: -93537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(2299) + -1)*-2 + 3 + sqrt(2299)*2 + -3 + 3)*3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1.552216 - 249439969\nAnswer: -249439967.447784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 8) to base 12.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**4 + 0*a - 3*a**3 + a + 9*a**3 - 3*a to g*a**3 + q + j*a**4 + l*a**2 + y*a and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3386 + -3383. Sort 36, -3, 2, l.\nAnswer: -3, 2, l, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 709*s**2 - 133*s**2 - 273*s**2 - 304*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 479 + -474. Suppose -175 = -a*z + 5*h, 0 = -z - 2*h + 4*h + 30. What is the remainder when 172 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42\/7*55\/88)\/(-5*1\/(-36))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4125 divided by -3?\nAnswer: -1375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5445885, 10891746, 16337585, 21783402, 27229197, 32674970, 38120721?\n\"Answer: -11*g**2 + 5445894*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12665418000 rounded to the nearest one million?\nAnswer: 12665000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (1 + -2 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -146 - -146. Solve j = 4*r - 3*r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1156523?\nAnswer: 1156523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 = j - 2116. Suppose -5*m - j - 1638 = -4*b, 3*m - 1741 = -2*b. What are the prime factors of b?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/8*q**3 - 531\/8*q - 255\/4 - 9\/4*q**2 = 0 for q.\nAnswer: -10, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 9, y: 7, a: 2}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6862531184 to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27511 rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.02 (c) 5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 69680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-15)*(-102)\/4. Let j = -3461 - -3852. Calculate the highest common factor of j and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -20366*v - 3594. Let u(h) = 5*h + 1. Let g(z) = -j(z) - 3594*u(z). Let d(a) = -3*a**2. Give g(d(l)).\nAnswer: -7188*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -21*v - 8. Let r(d) = -43*d - 16. Let u(y) = 7*k(y) - 3*r(y). Is u(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26 + -1)*(3 + -17 + -1). Let l = -1615\/4 + v. Let x = -36 + 109\/3. Sort x, l, -0.5 in decreasing order.\nAnswer: l, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 73*p + 78*p - 130 = 0, 49 = -2*y + 4*p - 49 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)*5 - sqrt(56))\/(sqrt(2) - (sqrt(2) - ((sqrt(288) - 1*sqrt(288)) + sqrt(288)))))\/(sqrt(900) + 2*sqrt(256)).\nAnswer: 7*sqrt(7)\/186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 446.0532t to milligrams.\nAnswer: 446053200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -22 (b) -4 (c) 1 (d) -178 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 13b?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 596304 and -3.\nAnswer: -1788912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1194745 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -112102110021?\nAnswer: -112102110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371413706?\nAnswer: 2, 23, 8074211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*y - 5. Suppose p - y = 4*p, 0 = 2*a + 4*p - 28. Calculate the greatest common factor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o**3 - 893*o**2 + o - 931?\nAnswer: -18*o - 1786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t**3 + 0 - 5 + t**2 + 5 as y*t**3 + h*t**2 + l*t + a and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3189 + 9565\/3. Let v be 0\/20 - (-3)\/((-15)\/(-4)). What is the nearest to -1\/4 in v, t, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1427 from -0.00706.\nAnswer: -1427.00706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + 30*c + 210. Let b be v(-9). Solve -29*o + b + 72 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3916573353 to the power of 1\/4, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -2*z + 4 + 2, 0 = z + 3*r - 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -23 (b) -1 (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1294.97 - -9.32646.\nAnswer: -1285.64354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1819 - -6267. What is the highest common divisor of 40 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153 and 78?\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3755 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((160\/(-72))\/2)\/((3000\/864)\/(-25))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + 0.4. Which is the biggest value? (a) -2\/7 (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.14 + 0.96. Which is bigger: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2) + (-10)\/(-4). Suppose 60 = -b*j + 6*j. Calculate the greatest common factor of j and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n - 54 = -25*n. Calculate the remainder when 13\/(-2)*(-72)\/6 is divided by (n\/(-10))\/((-1)\/(-5)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 - 23*i**3.\nAnswer: -23*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3604 - -3606. Solve 12 = 6*z - w*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16216303 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3549, 5857, 5547, 1311, -8159, -24171, -48033, -81053?\n\"Answer: -218*m**3 - m**2 + 3837*m - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.879 to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 4 = 13*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11707 + 11706.8. Suppose p - 5 = 2*p. What is the nearest to 1\/5 in p, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**2 + 2 + 16*y**2 - 6*y**2 - 7*y**2 as x + t*y**2 + u*y and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232600 divided by -2326.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1477535 (base 10) to base 15\nAnswer: -1e2bc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2851 + 4122. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -242?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 137964707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*z + 2*y = -74, 3*z - 4*y - 43 = 0. Let k = z - 13. Suppose 28 - 10 = 2*p. What is the lowest common multiple of k and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 2. Let d(c) = 77*c + 78. Let m be d(-11). Let w = -779 - m. What is h(w)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 + (7 - 9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 13. What is q(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - 9\/45*25. Solve p*g + 19 = 7*t - 2*t, -4*t + 3*g + 11 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2220, 4457, 6708, 8979, 11276, 13605, 15972, 18383?\nAnswer: 20844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7706622 divided by -3234.\nAnswer: -2383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7210 + 13430. Suppose 5*b - k = -1055. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - 4)\/(2\/6). Suppose d - p - w*p = 4, -p - 8 = -2*d. Is 46\/6 + d\/12 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22130321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/9 - 37*u**2\/9 - 77*u\/9 - 13\/3.\nAnswer: (u - 39)*(u + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 78070 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -106.7 and -44.\nAnswer: 4694.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2 - 90\/(-44)). Suppose 4*n = 13 + 75. Let c = n + z. Let s(y) = -y**2 + y + 4. Give s(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*p + p. Suppose 27 - 78 = -d - 3*z, -3*d - 5*z = -161. Suppose 0 = 2*j - t - 25, 5*j + t = d - p. 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 d be (6\/(-4))\/((-53)\/(-14) - 4). Solve 3*i + 4 = -m, -9 = 4*m - 3*i + d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 15 = 9*x. Put x, 3, -5 in decreasing order.\nAnswer: x, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16759\/42 + -1199\/3. Let o = t + 5\/14. Which is the second smallest value? (a) 1 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -2*b**7\/105 + 107*b**6\/30 + 36*b**5\/5 + 6297*b**2. Factor z(d).\nAnswer: -4*d**2*(d - 108)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**2 - 65*a**6 - 5*a**2 + 46*a**6 wrt a.\nAnswer: -2280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -7, 12, 4 in decreasing order.\nAnswer: 12, 4, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -148, 1, -4, 3797 in descending order.\nAnswer: 3797, 1, -4, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3206 = 23*l + 3298 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149617044 to the nearest integer?\nAnswer: 12232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -4 (b) -1156 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, r: 2, e: 1}. What is prob of sequence eddr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 2*c**2 + 2. Let x(i) = -3*i**2. Determine f(x(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11682 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.14, -1\/11, -4166, -2, -2\/9, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3139*v + 56144 + 26826 + 117926 = 0 for v.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from {d: 5, u: 1, o: 5, s: 4}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22501409 to the nearest integer?\nAnswer: 4744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1589 + 2279. Suppose -17*j + o = -8507. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 8 + 6 = p, 2*p + 5*m = 39. Let v be p - (2 - 3\/1). Let r = v + -13. Calculate the remainder when 7 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-5))\/((-5)\/25). Suppose -4*f - c*r = -194, -2*f + 79 = -2*r - 11. Suppose 0 = 4*x + 12, -2*a + 4*x + f = -97. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -12*u**3 - 304*u**2 + 208*u = 0.\nAnswer: -26, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 9\/5 (b) -0.3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.25253 to two decimal places.\nAnswer: 1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2. Let f = -11 + 5. Let b(z) = -z**2. Determine f*w(j) + 5*b(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(243\/2)*(-12)\/(-4)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 1, h: 2, v: 6, x: 3, a: 2}. What is prob of picking 1 d and 2 x?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 2*l - 5. Let w(g) = 1. Let n(d) = -d**2 + 8*d - 18. Suppose 2*v = -6, 3*o - 5*v = -14 + 47. Let f be n(o). Determine f*w(u) - a(u).\nAnswer: -u**3 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a8 (base 14) in base 10?\nAnswer: -932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 3*a**2 + 5*a + 4. Let f be c(-4). Let u(l) = l. Let v be u(3). Suppose -v*p + 3 = -6*p, 4*h + 3*p - 41 = f. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 6:38 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - a + 2*a)*(-3 + 3 - 1) - 117 - 111 - 2259*a - 929*a + 228.\nAnswer: -3186*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2019, -1993, -1965, -1935, -1903, -1869?\nAnswer: -1833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 + 67*p - 474. Calculate w(25).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*(-5 + (sqrt(700) - sqrt(700)*2)**2 + sqrt(700) - sqrt(700)).\nAnswer: -2087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10722 - 1338 - 3*n**2 - 10007.\nAnswer: -3*n**2 - 22067","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -399, -594, -783, -966?\nAnswer: -1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 521 (base 11) to base 2.\nAnswer: 1001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + m - 3, -2*v - 148 + 154 = -m. Suppose -2907 + 1212 = -v*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 2*r**2 + 1. Let m(s) = -1160*s**3 - 7*s**2 + 3. Give -2*m(l) + 6*u(l).\nAnswer: 2314*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**2 - 7*y**2 + 2*y**2 + (0*y + 2*y + 0*y + (0 - 1 + 2)*(-2*y + 6*y - 2*y))*(-2 - 2 + 2)*(4*y - 7*y - 12*y).\nAnswer: 119*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -613991553, -613991555, -613991557, -613991559, -613991561, -613991563?\n\"Answer: -2*q - 613991551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/(t**(-2\/7)*t*t))\/t))**(-32)*t*t**7*t**(2\/7)*t)**(-1\/77) assuming t is positive.\nAnswer: t**(543\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 + -50. What is the greatest common divisor of p and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s = -12, -4*b + 24 = -4*s. Suppose -51 = -4*t + b*h, t - 3*t + 13 = h. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 9) to base 10.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0567 to three dps.\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 4*l. Let f be i(3). Let y be f\/7 - 6\/42. Which is the biggest value? (a) y (b) 5 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -215170, -4, 43 in ascending order.\nAnswer: -215170, -4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -p, -r + 0*r + 3*p = -180. Let y = 163 - r. Sort y, 17, -5 in decreasing order.\nAnswer: 17, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*i + 5 + 6, 0 = 3*f + 5*i - 35. Let l(g) = g**3 + 29*g**2 + 28*g + 12. What is the smallest common multiple of f and l(-28)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 528 and 168.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 566.28 + 66.12. Let b = 462 - 1151. Let a = p + b. What is a rounded to zero dps?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*2*(-2 - 2). Suppose -2*d = -5*n - 38, 3*n = d - 4*d - 27. What are the prime factors of (-46)\/n - (-2)\/r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 11*n**2 + 4*n + 12. Let s = 19 + -30. Let d(a) = -32*a**2 - 11*a - 35. Let x(j) = s*h(j) - 4*d(j). What is the first derivative of x(p) wrt p?\nAnswer: 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttt. Give prob of sequence tt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 407897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/48 and -25\/896.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 7*u = -45. Suppose 11*f - 6 = u*f. Let n(x) = 0 - 3*x - 5 - 2*x**2 + 1 + f. Calculate n(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 5 + 72001*i - 537*i**2 + 3 - 71998*i.\nAnswer: -537*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqc when three letters picked without replacement from {c: 3, q: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17783 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-20))\/(3*6\/90)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f - 3 + 2 - 1)*(4095 - 2096*f - 4095) to g*f + l*f**2 + q and give l.\nAnswer: 4192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -351 - -351.149. Let k = i - -0.251. What is the closest to -3\/7 in k, 0.3, 9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 250 by -50.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 5326944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 8 + 5. Let s be (m\/(-4) + 2)*-4. Is (-236)\/(-5) - 1\/s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 3*o + 2. Let q be u(0). Solve -8 = -q*h - 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -524 + 1013 + 22*z**2 - 18*z**2 - 489 - 16*z**2.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23\/3 (b) -0.1 (c) 8\/31 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2190 at least 2189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.859*-1059\nAnswer: 1968.681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.25 - -0.25. Let k = h - 9. Let p = -114 + 119. Which is the nearest to 1\/3? (a) k (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -44937, -45936, -46935, -47934, -48933, -49932?\n\"Answer: -999*p - 43938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + x - 1. Let g(o) = o. Let f(q) = 4*g(q) + m(q). Let d be f(-6). Suppose -2*l + 18 = 5*a, 2*a - 16 = 4*a - d*l. Solve 0 = r + 2 + a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 9. Put -3\/2, l, -0.3 in increasing order.\nAnswer: -3\/2, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9\/2, 0.2, -3, -0.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*t + 242*t = -279*t + 839*t + 672 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6725*x + 3. Let f(s) = 125*s**2. What is l(f(u))?\nAnswer: 840625*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -48439.697 to the nearest 1000.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from kbkbbbbb.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 8*l**2 + 18*l - 6. Let r be j(8). Let h = 144 - r. Let a(u) = 4*u - 1. Calculate the smallest common multiple of a(3) and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*r + 0*r**2 - 3*r**4 + 10 - 11 - r**2 + 11*r to a*r**3 + t + x*r**4 + s*r + p*r**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 264 = 25*p + 11*p. Solve 2*j + 5*f - 6 = p, 3*j - 11 = -4*f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z - 271 + 19*z - 3*z + z**2 - 13*z in the form o*z**2 + y + g*z and give y.\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41271 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 18 + 12 = -3*g, 4*g + 18 = -3*h. Let y(t) = 15 - 391*t + 199*t - 1 + 193*t. Determine y(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y + 40. Determine i(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:27 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 21 = 5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 4*d + 6. Let q be a(-3). Solve 0 = -7*j + q*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1626943?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643 is divided by (-1)\/(4 + (-1539)\/306 - -1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -97*u + 6. Let i be x(5). Let k = -239 - i. What are the prime factors of k\/42 - 2\/(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 12903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1290.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3615704.\nAnswer: 2, 137, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) -2\/7 (b) -3 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 15*k + 399 = -t, 3*t + k + 1219 = 0. Is (-5432)\/(-11) + (-74)\/t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1409?\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = -x, -x = -5*d + 7. Let y be 0*(d - 7\/3). Sort y, 0.2, 3 in ascending order.\nAnswer: y, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 3005887?\nAnswer: -3006000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b + 87 = 3. What is the smallest common multiple of ((-5)\/b)\/((-2)\/(-6)) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11794 is divided by 512.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2.154 + 0.1\nAnswer: 2.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -10*k. Let h(b) be the first derivative of 15*b**2\/2 - 18. Determine h(n(w)).\nAnswer: -150*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1*28\/336*2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*b + 4*j + 120, -4780*b + 5*j + 3 = -4784*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 1:02 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -430\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/129 and 17\/516.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127346, 127339, 127328, 127313, 127294?\nAnswer: 127271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27848 <= 27845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2552?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1452) + 1.\nAnswer: 1 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**6\/720 - 5*j**4\/4 + 5*j. Let m(g) be the third derivative of u(g). Calculate m(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27803 or 305818\/11?\nAnswer: 27803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**2 + 47136*q - 138862656 = 0?\nAnswer: 5892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3*12\/10. Let d = -1.3 + 1.4. Which is the biggest value? (a) v (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 minus 7021583?\nAnswer: -7021746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-30))\/((-2)\/(-24))*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 93*j**2 - 1049*j - 78896. Calculate i(-91).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y. Let q(u) = 19*u - 6. Let k(m) = 54*m - 17. Let h(t) = 6*k(t) - 17*q(t). Determine h(j(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 8. Let y = -9 - x. Which is the nearest to -5? (a) -5 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + u + 1. Let s(y) be the second derivative of 3*y + 0 + 1\/2*y**2 + 1\/6*y**3. Determine -n(h) + s(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-2) - 3 - -9. Suppose -2*g - 4*l - 46 = 0, -5*l + 145 = -x*g - 0*l. Calculate the remainder when g\/36 + (-91)\/(-4) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 64*n**2 - 5419*n - 1748. Determine k(85).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*c - 5, -2*n = -0*n - 4*c + 2. List the prime factors of 0 - (-76 - (n - -3)).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*l + 29 = 353. Solve y = 5*c + 2*y + 11, -2*c + l*y = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2\/((-8)\/12) - -23 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148058, -296154, -444282, -592436, -740610, -888798, -1036994?\nAnswer: -1185192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - d + 3 = -4, 877*a - 8*d + 67 = 879*a - 13*d for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1905780 + 4*a**3 - 1905780.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -266 - 49962?\nAnswer: -49bc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 54 in -3, 1, 1.8, -0.132, -0.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10093813 (base 10) to base 8.\nAnswer: 46402365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 836 + (-1 - (-4)\/4). Let k = f - 225. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 222687 - 289047703\/1298. What is the common denominator of r and 49\/649?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21873.\nAnswer: 3, 23, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1353814*r**3*t - 5*r**2*t + 182*r**2 + r + 61*t wrt r?\nAnswer: -8122884*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 6, -y - 5*u = -15 + 29. Sort y, 5, 3, -3 in decreasing order.\nAnswer: 5, 3, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 + -82. Calculate the least common multiple of i and 70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6) + (-20)\/(-12). Let h = -3150 - -3152. Solve 0 = r - 2, -h*r = -s*v - 3 - 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 38*a**2 - 36*a + 115. Let d be x(-39). Is 14\/(-21)*(7445\/d + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -2 (c) 36 (d) 4 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 742761.\nAnswer: 3, 82529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, d: 2}. What is prob of sequence ddii?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijooooijjjioioi. What is prob of picking 1 i, 1 o, and 1 j?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 15189 + 4664. Suppose 6*f - 61 = d. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*o - 67739 = 18491, 2*v - 34500 = 2*o. Let m = -587248 + v. What is m rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -864?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1669.\nAnswer: 4\/1669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2450 and 4713450?\nAnswer: 32994150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*h**2 + 17*h**2 + 5*h**2 + 18*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13242 by -2.\nAnswer: 6621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00122523 rounded to five decimal places?\nAnswer: 0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -13) + 4036\/(-112) + 16\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -195*j**2. Let f = -704 - -706. Let p(b) = 8375 - 8375 - b**f. Give a(p(z)).\nAnswer: -195*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) -88 (c) 0 (d) -258 (e) -2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8414 to two decimal places.\nAnswer: -1.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6540)\/(-3) - (-4 + 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + 39 = 157 + 38 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.2. Let u = -75 + 151. Let c = 78 - u. Sort c, 2\/13, z in descending order.\nAnswer: c, 2\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k. Let v be 9 + -1*0\/(-1). Let c = v - k. Solve -c = 5*r + 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1136549 + -1136237.0244. Let c = r + -312. What is c rounded to three decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**3 - 5127*a**2 - 10263*a - 5133 = 0. What is a?\nAnswer: -1, 1711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 92a90 - 8b?\nAnswer: 92a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*n*x**2 - n*x - 249379*n + 16270*x**2 - x wrt x?\nAnswer: 6*n*x - n + 32540*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 518311411 rounded to the nearest 1000000?\nAnswer: 518000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10709935 divided by -6\nAnswer: -10709935\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -107.2*-0.1\nAnswer: 10.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 411*n - 203*n - 205*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 351 divide 381034017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (82\/(-4))\/(7*(-13)\/182). Suppose -5*c + 33 = 2*y, 4*c = y - 0*y + 16. Let h = b - c. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -860 = -75*y - 185 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1798004.5 + -18768\nAnswer: -1816772.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 488 and 7625.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(64)*-2)\/sqrt(4))\/((sqrt(48) - -2*sqrt(96)\/sqrt(2))\/sqrt(6)).\nAnswer: 8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t - 3. Let j be k(-1). Find the third derivative of -25*z - 2*z**j + 25*z - 3*z**3 wrt z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 738 and ((-2)\/4)\/(88\/(-27060)*10\/16).\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 130 and 0.05862.\nAnswer: 130.05862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -314*r + 2. Let p(i) = 85*i**2 + 6*i + 6. Let a(w) = 99*w**2 + 7*w + 7. Let h(o) = -6*a(o) + 7*p(o). Calculate h(v(z)).\nAnswer: 98596*z**2 - 1256*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/4 + (-3)\/6. Let b = q + 1. Let r = 24 - b. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 594592 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 9312*j - 2283057. Give y(-252).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1601 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134568 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 16d7cdc5?\nAnswer: -16d7cdc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 3. Let l(t) = -t**2 - 4. Suppose -z - 4*y = -11, -7*z + 9 = -2*z - 3*y. Let o(m) = z*l(m) - 4*g(m). Let w(c) = -c**2 - 9. What is o(w(d))?\nAnswer: d**4 + 18*d**2 + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 10:53 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58818 is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + (-1 + sqrt(98) - sqrt(98))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2179, 4362, 6545, 8728?\n\"Answer: 2183*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 42 - 294 = 0. Let u = 134 + g. Calculate the greatest common factor of u and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -18. Let o = -9 + n. Let a(q) = q**2 + 4. What is the remainder when a(o) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5663066 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -5*v**4\/12 + 5*v**3\/3 + 20*v + 11. Suppose o(y) = 0. Calculate y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*n = 38*n - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4719*l - 15 = -5*g + 4715*l, 2*l = g + 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/3 + 120277*v**2\/3 + 240557*v\/3 + 40093 = 0. Calculate v.\nAnswer: -1, 120279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*sqrt(1008)*5 + (sqrt(35) - (sqrt(35) + (sqrt(560) - sqrt(560)*1)) - sqrt(35))\/(sqrt(5) - ((sqrt(180)*2 - sqrt(180)) + sqrt(180) + sqrt(180))).\nAnswer: -24479*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 75556057 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r\/r**(-2))\/r))\/r)**48*r\/(r\/r**(2\/11))*r**(-5) assuming r is positive.\nAnswer: r**(-581\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/200684 and -107\/91220?\nAnswer: 1003420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -64*r**2 - 196*r - 4. Let c be a(-3). What is the greatest common factor of c and 98?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4840)*-1)\/((sqrt(8) - (1*sqrt(24))\/sqrt(3)) + sqrt(8)).\nAnswer: -11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0727694 or 1.38?\nAnswer: 1.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/32)\/(6\/72). What is the third biggest value in 1, -3\/7, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70 (base 15) to base 8.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t - 6. What is f(-7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6121116 and 5776.\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*f - 192. Let q = -45 - f. Let a be (-2*(-12)\/(-8) - 5)*-1. Solve -q*y - 20 = -a*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6137, 6140, 6143, 6146, 6149, 6152?\n\"Answer: 3*d + 6134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 1. Let c(k) = 8*k + 2*k - 3*k. Suppose 0*q - q = 3*p - 14, 26 = 2*p + 4*q. Let t(z) = p*g(z) + c(z). Let h(w) = w + 1. Give 5*h(v) - t(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yg when two letters picked without replacement from {p: 2, y: 2, g: 1, a: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(7 + 21\/7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u*u\/(u*u**(-7))))))\/(u\/u**4)*u\/(u*u\/u**0)*u**(-2\/9) assuming u is positive.\nAnswer: u**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-4))\/(2\/(-588)). Suppose 0*h = 5*h - i. Let a = h - 77. Calculate the highest common factor of 28 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 4\/13, 0.7?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172671, 345846, 519523, 693702?\nAnswer: 868383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**3 - 5 + 4*s + 2*s**3 + 4*s**3 - 4*s**2. Determine n(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/14))**(-40) assuming p is positive.\nAnswer: p**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 4:31 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1521*y - 1507*y = -84 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 242976765?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from bbpbbbbpbgbbfpb.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 22 = -x, -m + 3*x - 1 = -25. Solve -1841 = -m*b - 1862 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + r + 23 = 0, -38 = -2*m - 2*r + 6*r. Let g be (-8)\/((-384)\/72)*2. Solve -15 = -g*p, 0 = 4*q - p + 4*p - m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -468 - -600. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(16) + -3.\nAnswer: -3 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 19*d**3 - 4*d.\nAnswer: 19*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2500 + 833 + k + 830 + 837.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011110100101000000100 (base 2) in base 16?\nAnswer: -2f4a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21176 (b) 0.6 (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 0*p**2 - 1\/9*p**3 - 1\/36*p**4 + 0 - 3*p. Find i, given that h(i) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9627\/10 + 960. What is the common denominator of 3 + -1 - (-230)\/5 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 267 and 0.2?\nAnswer: 53.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 - (1 - (-5 + 2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 209, 499, 983, 1661, 2533, 3599, 4859?\n\"Answer: 97*f**2 - f + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from {v: 1, y: 2, z: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a1 (base 14) in base 16?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 133363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(63) - sqrt(7)) + 4)**2.\nAnswer: -336*sqrt(7) + 12364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/4 + 231*r**2\/4 + 1353141*r\/4 + 512726629\/4.\nAnswer: -(r - 1429)*(r + 599)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*((-50)\/(-4))\/(-5). Solve 0 = -c*n - 5*f - 30, -4*n - 3*f - 14 = -4*f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*p - 14 = 183*p. Solve -3*z = -4*a + 2, -4 = -p*z - a + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + 558*d**5 - 976*d**5 + 571*d**5 - 3*d**5 - 2*d**5 + d**5 + (3 - 2*d**3 - 3)*(2*d**2 + 0 + 0) + 5*d**5 - 3*d**5 + d**5.\nAnswer: 148*d**5 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/10*8\/(-6)*33\/(-132)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -11*z**5\/60 + z**4\/6 + 19*z**2. What is the second derivative of m(c) wrt c?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + d**2 - 6*d**2)*((6*d + 7*d - 4*d)*(d - 3*d + 0*d) + 164*d**2 + 10*d**2 - 71*d**2).\nAnswer: -170*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)*-3 - sqrt(135))\/sqrt(5))\/(sqrt(18)\/(sqrt(2)*4)).\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7141 is divided by 144?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-9 + 4\/(-8)*-2. Is (2692\/(-16))\/(2\/b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 11*j + 8. Let m be q(-7). Let c = -18 + m. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/11536032 and 133\/8652024.\nAnswer: 34608096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -114 - -202. Let t be (-8)\/(-52) + j\/(-234). Which is the third smallest value? (a) t (b) 2\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5107 - 5101. Suppose -6 = -3*s + 9. Solve -s*k + 8*k = t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -324402?\nAnswer: 324401.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/2 at least 0.504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*u - 376 + 376)*(0 + 0 + 2*u) + 50*u**2 - 47*u**2 + 73*u**2 + (2*u + 2*u - 2*u)*(u - u + u) - u**2 - 7*u**2 + 2*u**2 as x*u**2 + o + t*u and give x.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 12*x - 15. Let b(a) = a**2 + 4*a - 5. Let s be b(-3). Let j(q) = 4*q - 5. Let i(w) = s*j(w) + 3*l(w). Is 7 a factor of i(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 4*y**2 - 4*y + 3. Determine h(-5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 4. Let k be o(-7). Let f be ((-8)\/k)\/(10\/75). Let s = 1 + -1. Solve -4*m - 15 = 5*l, s*l - 5*l + 3*m + f = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -3. Let d(m) = m**2 + 2*m. Let i be d(b). Suppose -2*s - 2*s = -i*z - 196, 2*z = 4*s - 192. Calculate the remainder when s is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 61?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-75 + 75 + 7*l)*(-16 - 174 + 425) to k*l + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*q + 142*q + 3 = 0. Let j(m) be the second derivative of 0*m**2 + 1\/4*m**4 + 0*m**q + 0 + 9*m. Let d(l) = -7*l**2. Determine d(j(o)).\nAnswer: -63*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 5) + 152\/48. Let c be ((-74)\/(-6))\/(20\/(-102)). Let n = -63 - c. What is the smallest value in -3, l, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*k + 307 + 305 = 0. Let w(u) = -u**3 + 20*u**2 - 8*u - 6. List the prime factors of w(k).\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/2*8468\/(-1314)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1304, -5203, -11674, -20699, -32260?\n\"Answer: 3*j**3 - 1304*j**2 - 8*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (11 + -2)\/(-3). Let j(h) = -h**2 + d + 0 - 1 - 3. Let t = -26 + 28. Determine j(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 3*g**2 + 5*g - 13. Let p(u) = 2*u**3 - 5*u**2 + 9*u - 26. Let h(o) = -4*p(o) + 7*x(o). Let w be (-2)\/(-8) + 2\/(-8). Is h(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0*d + 2*d**2 + d)*(0*d**2 + 3*d**2 - d**2 - 3*d**2 + 0*d**2 + 2*d**2 + 3 - 3 - d**2 + (-d + 0*d - d)*(-d + 0*d - 12*d)).\nAnswer: 52*d**4 - 26*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12786966, -25573923, -38360882, -51147843?\n\"Answer: -l**2 - 12786954*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k - k**2 - 2*k - 468 + 3*k + 463. What is c(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 4176321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533765.\nAnswer: 5, 106753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-293)\/(-293)*-7*3)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 111562*r + 111561.\nAnswer: (r - 111561)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4 - 32. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 268 + -268. What is the closest to -0.1 in -4, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406463 is divided by 571.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*g + 102, 4*g - 89 = -2*h - 41. Calculate the greatest common factor of 279 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*c**3 + 61*c**3 - 21*c**3 - 19*c**3 + 63*c**2.\nAnswer: -c**3 + 63*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 6, -4 in decreasing order.\nAnswer: 6, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 8:56 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7366.23 + -7366. What is the closest to -0.28 in -0.4, m, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + o - 833*o**2 + 832*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 13 - 4*q**2 + 2*q**2 - 9*q to the form c*q + n*q**2 + m and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-12)*u)\/u*u*(u\/(u\/(u*u**9*u)))\/u assuming u is positive.\nAnswer: u**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**2 + 160*s + 336 = 0. Calculate s.\nAnswer: -2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2. Let g be (-17)\/5 + 4\/10. Let u be 10 + (-1 - g) + -4. Let f(t) = -u*t + 2*t + 5*t + 3*t. Give m(f(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4312)\/(-132)*828\/644.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r - 4 = 0. Let h be 24\/(-33)*3\/(-12). Which is the nearest to r? (a) h (b) 0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/11760*-930*-7?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -419, -416, -413?\n\"Answer: 3*l - 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1041, 1042, 1043, 1044?\n\"Answer: w + 1040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 28*w**3 - 12*w**2 + 6*w + 186. What is the thousands digit of r(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 11. Let v = -8 + r. Let x be v\/(-2) + 3\/6. Calculate the greatest common factor of x and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 770549593*s**4 + 657852002 with respect to s.\nAnswer: 3082198372*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c - 22. Suppose 52*y = 47*y - 55. Let k be h(y). Solve k = -n - 0*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/54 + 202\/18. Suppose 0 = 5*l - 5*c + 10, 0 = -3*l - 2*c + 3 + q. Calculate the remainder when (-189)\/(-5) - l\/(-10) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**3 - b**2 + 2*b + 15. Calculate i(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 169575 and 29750.\nAnswer: 1695750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-7 - 1) + -1 + (27 - 12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*j**3 - 59*j**3 - 3*j**4 - 20*j**3 + 12*j + 6 to f + t*j**3 + g*j + u*j**2 + c*j**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 450015982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 0*l**2 - 3*l**2)*(136*l - 99*l - 886*l).\nAnswer: 849*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5800*b - 24. Determine o(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 608*d - 343. Let p(y) = 609*y - 344. Let k(s) = -5*p(s) + 6*t(s). What is the derivative of k(u) wrt u?\nAnswer: 603","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(76) + 2 + sqrt(76) - sqrt(76)) + sqrt(76) - sqrt(76))**2.\nAnswer: 8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-716*c - 88 - 2*c**2 + 716*c)*(c + c - c) to t*c + k + a*c**3 + n*c**2 and give t.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010211 to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018929444 to seven decimal places.\nAnswer: 0.0001893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740888034?\nAnswer: 2, 3, 31, 773, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - s**2 + 5*s + 6. Give c(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/5232 and 5\/399.\nAnswer: 695856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -203550000 to the nearest 1000000.\nAnswer: -204000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 1041582428107*a**2 - 6 + 1041582428107*a**2 + 4*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29075.\nAnswer: 5, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 0 + 0)*(2547525 + 2*q - 2547525 + 608*q**2) + 0*q**3 - 4*q**3 + 2*q**3 in the form r*q**2 + j*q**3 + p + u*q and give j.\nAnswer: -1218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -202 + 203 - (0 - (1 + -5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121010 (base 3) in base 16?\nAnswer: 1b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12985*z**2 - 3525*z?\nAnswer: -25970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/280 and -52\/15.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26621, 26622, 26623, 26624, 26625, 26626?\n\"Answer: z + 26620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -262\/5 - -52. What is the closest to -0.4 in w, -1\/3, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - s**2 - 17*s + 8 + 16*s to x*s + g + v*s**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsjwh. Give prob of sequence wbh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17906 is divided by 5955?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, o: 1, y: 1, g: 1, m: 1}. What is prob of sequence yxm?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w + 6511. Let q(j) = 37*j - 2. Calculate h(q(d)).\nAnswer: 111*d + 6505","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1 (b) -1\/4 (c) -0.05284\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, -112, -238, -378, -538?\n\"Answer: -a**3 + 2*a**2 - 117*a + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(-6) - 15\/5. Let u = 23\/5 + -64\/15. Factor -l**2 - u*l + x.\nAnswer: -(l + 1)*(3*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 11:18 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, r: 5, k: 2}. What is prob of sequence kgrg?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**3*r*r\/r**(-2\/11))**24 assuming r is positive.\nAnswer: r**(48\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x + 10. Calculate a(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5790.948 litres in millilitres?\nAnswer: 5790948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-9)*((-12)\/10)\/((-6300)\/(-168)))\/(-6).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*k**3 - 12 + 12.\nAnswer: -51*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 f when three letters picked without replacement from {g: 2, f: 17}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -76742 divided by 85?\nAnswer: -76742\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*u**2 + 1982*u**2 - 1854*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -112, -115, -120, -127?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3\/10 + 7*n**2\/10 - 2*n\/5 - 14\/5 = 0 for n.\nAnswer: -7, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245\/3*r + 25*r**3 + 105*r**2 + 5\/3*r**4 + 0 = 0. What is r?\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*d + 35 = 3*g, 0 = 4*g. Suppose 0 = 6*p + p - d. Suppose -p*x + 2*f + 73 = 0, 0 = -f - 2*f - 12. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8009 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*m + 6. Let u(q) = -7*q + 4. Let f be u(-7). Suppose 8*w + 13 - f = 0. Which is the closest to m? (a) 0.2 (b) w (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13563 less than 1366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14636761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -390, -680, -1032, -1446, -1922, -2460?\nAnswer: -3060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 17*z - 54. Let b(r) be the third derivative of -4*r**2 + 1\/6*r**z + 1\/240*r**5 + 0 + 0*r - 1\/24*r**4. Factor b(v).\nAnswer: (v - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 3:39 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 65*j + 400 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6*u + 268. Let n = u + -35. Suppose -4*g = 4*w - n, -2*w = 5*g - 5 + 1. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -528?\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86 + -83 - (0 - -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2274 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 6 + 4. Suppose 1 = -5*x - 3*u + 23, -w*u = -x + 10. What is the derivative of -g**3 - 1 - 1 + 3*g**3 + x wrt g?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 790\/(-25) - (-6)\/(-15). What is the tens digit of (l\/(-5))\/(14\/35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2286 is divided by 79.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 265 = -15*i + x, -26431*i - 1 = -26432*i - 3*x for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 1145519398?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-248)\/(-10) - (-56)\/(-70). Calculate the greatest common factor of 60 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91348?\nAnswer: 2, 41, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272 divided by -17.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*c**2 + 85*c - 85*c)*(0*c + 0*c - 3*c).\nAnswer: -174*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1133*m**4 - 12503*m**2 - 204091922 wrt m.\nAnswer: 4532*m**3 - 25006*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 0*t - 3*t + 2*t + 5 - 2*t. Let y be b(1). Suppose -y*p - 2 = 0, -o + 7 = -p - p. Sort 2, 3, o in increasing order.\nAnswer: 2, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 976174.1ml?\nAnswer: 976.1741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l - 1. Let o(p) = -48*p + 42. What is -84*f(g) - 2*o(g)?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 7*y**2 + y + 2. Let q(r) = r**3 + 4*r**2 - 3*r - 5. Let o = 10 - 14. Let w be q(o). What is the least common multiple of 3 and m(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 20*n**2 + 2*n - 1. Suppose -14*o + 12*o + 2 = 0. Let q be d(o). Calculate the highest common divisor of 42 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*l + 53, -2*n + 10 = -3*l - 0. Let z = n - 15. Is 4 a factor of (z + 3)*3 + 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 4133.\nAnswer: 33064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -103.98.\nAnswer: -103.98, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/(-9) + -6 + (-759 - -769).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/6444 and -181\/53040.\nAnswer: 28482480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -101*s - 367. Let u(c) = -32*c - 123. Calculate -2*n(d) + 7*u(d).\nAnswer: -22*d - 127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-385))\/(146\/803).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 490\/19 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 5:43 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2\/13 - 10096*j + 165634976 = 0. Calculate j.\nAnswer: 32812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -315.415254735.\nAnswer: -315.915254735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3339\/520 or -1\/17?\nAnswer: -3339\/520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 404316.71 times -4\nAnswer: -1617266.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 680 + -630. What is the remainder when 196 is divided by x?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -113, -264, -475?\nAnswer: -746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 39?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -31, 1\/3, -2160\/31?\nAnswer: -2160\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**19\/(d*d*d**32*d)*d\/(d\/(d*d\/(d**(3\/20)\/d*d))*d)*(d\/(d**22*d))\/d)**(-12) assuming d is positive.\nAnswer: d**(2289\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.018 - 0.082. Let m be 0 - 10\/15 - -1. What is the nearest to k in -1\/4, -3, m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20599905 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-999*b**2 + b**3 + 512*b**2 + 485*b**2 + 610)*(0 - 2*b + 0).\nAnswer: -2*b**4 + 4*b**3 - 1220*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 20*x**2 - 135*x + 175. Determine u(5).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/16 and 87\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j. Let p(a) be the first derivative of 7 - 1\/8*a**4 - 3*a**2 + 0*a + 0*a**3. Let s(l) be the second derivative of p(l). Determine z(s(i)).\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -7*u - 210. Suppose 11179 - 691 = -23*o. Let q = o + 415. Is q greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.055208623 + -0.055185. Round p to 7 dps.\nAnswer: 0.0000236","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 188.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 104*u**2 + 36*u + 5. Let c(p) = 103*p**2 + 29*p + 4. Determine 5*c(m) - 4*t(m).\nAnswer: 99*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 1, 2\/9, -0.02583 in descending order.\nAnswer: 5, 3, 1, 2\/9, -0.02583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -4. Suppose 3*l - 7 = 8*l + 4*q, g = -3*q - 9. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0036771 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/566973 and 71\/306577764.\nAnswer: 3372355404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = -5*f - 11. What is the remainder when 73 is divided by f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 378677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24077896?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2363 greater than or equal to 2359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 8. Let r be c(-10). Let m be 1*2\/r + 3. Does 10 divide 29\/(3 - m) - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202884?\nAnswer: 2, 3, 11, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 + 13390672*g\/7 + 22413762076448\/7.\nAnswer: 2*(g + 3347668)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-8) - (-3 - -1)\/8. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 78019, 2\/19, 7\/6 in ascending order.\nAnswer: 2\/19, 7\/6, 78019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.236 - -8.114. Round f to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 5:12 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1173548 minutes in seconds?\nAnswer: 7.041288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -1, -159, 0.9, -6, 1, 0.2?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3361 divided by 2.\nAnswer: 3361\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 6016586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 8*o + 4. Let i(f) = 4*f**2 + 41*f - 21. Calculate -2*i(w) - 11*r(w).\nAnswer: 3*w**2 + 6*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 928 divided by 29\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 7:14 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 28, 2 in ascending order.\nAnswer: 1, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 3, 412, 0, 137, 5 in increasing order.\nAnswer: -0.4, 0, 3, 5, 137, 412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 157477 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -17. Let t be -1 - (4 + -38)*m. Let s = t + 109. Calculate the remainder when 26 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -533, -1062, -1569, -2042, -2469, -2838, -3137, -3354?\n\"Answer: 2*c**3 - c**2 - 540*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526*q + 583*q - 44 = 1098*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*3 - (sqrt(153)\/(sqrt(9) + sqrt(36)))**2 - sqrt(204)\/(sqrt(588)*-3).\nAnswer: -17\/9 + 127*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/8152250 and 61\/2934810.\nAnswer: 73370250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7115, -12435, -17757, -23081, -28407, -33735, -39065?\n\"Answer: -z**2 - 5317*z - 1797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22068, 22070, 22072?\n\"Answer: 2*l + 22066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 53820865500 to the nearest 1000000.\nAnswer: 53821000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1.3. Let f = 0.081 - 0.281. Sort 0.3, f, -2\/3, z in ascending order.\nAnswer: -2\/3, z, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57393.937896 - 0.0291.\nAnswer: -57393.966996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19\/46 - 871\/1886. Let x = b - 31\/205. What is the closest to -2 in 3, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/12 and 149\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2832950 to the power of 1\/2, to the nearest integer?\nAnswer: 1683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - k + 1. Let u(p) = -6*p**3 - p**2 + 5*p - 10. Let r(x) = x**2 - 2*x - 10. Let z be r(5). Let s(m) = z*a(m) + u(m). Give s(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 418.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -698*i + 700*i = 5*h + 7, 0 = -2*i - 5*h - 23 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -27. Suppose 0 = n*y - 3*y - 15. Sort 1, -3, y in ascending order.\nAnswer: -3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 13636*a + 13646*a + 4 to the form l + s*a and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -72, -54, -18, 42, 132, 258?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7392 divided by 97?\nAnswer: 7392\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 5*k - 6 + (-30*k + 43*k - 33*k)*(0 + 0 - 2) - 2*k + 2*k + 2*k + 4*k + 4 - 4 in the form x + v*k and give v.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00033232 to 5 dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**2 - 8*l + 6. Let z be h(-3). Solve 0 = -s + z*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189961 = 212*a + 191233 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.047 - 5.347. Which is the third biggest value? (a) 0 (b) v (c) 0.3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - 31) + (0 - 9) + 9 + -29 + 21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 62\/6 - (-8)\/(-24). Let u = -93 - -89. Let j = k - u. Calculate the greatest common factor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3.01. Let t = 1617 - 1616.9. What is the nearest to t in 2\/3, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 26. Let f be s(0). Suppose -2*t = 3*t - 4*m + f, 0 = -4*t + 2*m - 16. Let y = t + 8. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-279)\/21 - (-200)\/(-280).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 - 1 - (-2 - (2 + -1 + -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 122.62 - -11.38. Let u = 86853 - 86986.738. Let m = u + l. Round m to 2 decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 264 = 48. Suppose w = -0*a + 4*a. Suppose -4*f = 2*m - f - a, -1 = 2*m - 5*f. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 513 = -3*a - 32, -4*x = 5*a - 790. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1168)\/(-1460)*1*10\/52.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 38*h + 2. Let y(o) = -2*o. Calculate y(f(p)).\nAnswer: -76*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -233 + 240.4. Let o = -7.3 + g. Let f = 11 + -7. Which is the nearest to o? (a) 1\/9 (b) f (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123497\/35568 - -1\/11856. What is the common denominator of -181\/3840 and j?\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(189)\/(2*sqrt(3)))\/(sqrt(9) + -6*sqrt(81)) - (-3 + (sqrt(175)*-2)**2 - sqrt(175))*-2).\nAnswer: -341*sqrt(7)\/34 + 1397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 38 = 3*i. Let o = i - -2. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, m: 1, n: 6}. Give prob of sequence mw.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + 2*p - 3*p)*(66 + 11 + 25)*(98 - 98 - 8*p).\nAnswer: -2448*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -5. Suppose -3*l + g*v + 13 = 0, -4*l = -l + v - 8. What is the derivative of l*n**3 + 0*n**2 + 3 + 0 + 0*n**2 wrt n?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 4*u**2 - u - 2. Let h be y(3). Suppose h*c - 1231 = 1749. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 57040, 56561, 55764, 54649, 53216, 51465, 49396?\n\"Answer: -159*b**2 - 2*b + 57201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2840 is divided by 993.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*r = 5*w - 12, -2*r + 6 = 4*w. Factor -d**3 - 3*d - 6*d**2 + 3*d**w - 1 + 0*d**2.\nAnswer: -(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04564531 + -2171.9.\nAnswer: -2171.94564531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 9 = 3*z, 112*x = 109*x + z - 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*n - 25*n**2 + 21 - 16*n**2 - 85*n wrt n?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3523, -7047, -10565, -14077, -17583, -21083, -24577?\nAnswer: -28065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 547117 to the power of 1\/2, to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-14 - 324\/(-342))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24040 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjoaqje. Give prob of sequence je.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -10*p**3 + p**2 + 11. Let s be 3\/5 - (-48)\/20. Suppose -s = k - 25. Let x(d) = d**3 - 1. Give k*x(q) + 2*b(q).\nAnswer: 2*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-1 + 2) - ((-35 - (-17 - 37)) + -94).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -119, -161, -199, -233, -263, -289?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3154471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-14) - 4*25\/(-35). Solve -5*s - 3*l - 13 = 0, p*l - 1 = 3*l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29428840?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 - 4*i**2 - i + 2. Let z(w) = w**2 - 6. Let k be z(-3). Suppose 5*s - 1 = -2*n - n, k*s = 3*n - 9. Let o be p(n). Solve 3*j - 9 = -o*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 76*q**2 + 8*q + 11. Does 22 divide t(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (990\/(-12))\/(-15)*2. Which is the third smallest value? (a) l (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g - 11. Let j be p(11). What is the remainder when 4\/j - 4680\/(-33) is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13202, -11821, -10442, -9065, -7690, -6317?\nAnswer: -4946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*g**3 + 85*g**3 - 201*g**3 + 45*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**2 - 1\/8*s**4 + 0*s**5 - 1\/105*s**7 + 0 + 0*s**3 + 0*s + 0*s**6. Find the second derivative of f(t) wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.18 and -2121176?\nAnswer: 381811.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 125*v**2 + 9*v - 14. Let x(m) = 65*m**2 + 5*m - 9. What is 3*k(z) - 5*x(z)?\nAnswer: 50*z**2 + 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 51. Suppose -y = -6*a + 12. What is the highest common divisor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5879558 millilitres in litres?\nAnswer: 0.0005879558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 7.5 (c) 4 (d) -2 (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 325 * -20.\nAnswer: -6500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2285131252 to the power of 1\/2, to the nearest integer?\nAnswer: 47803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/29 greater than -2580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2ff3db3 + -8?\nAnswer: 2ff3dab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-8 - -2 - (-5 - -2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-262)\/(-2751) - 1*(-2)\/(-3). Let r = -18 + 14. Let d be -3 - r\/(144\/100). What is the fourth smallest value in c, d, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399809 is divided by 108?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-11)\/p**(-10)*(p*p**(-3)*p)**(-16))**34 assuming p is positive.\nAnswer: p**510","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2712\/(-5))\/(-6) - 32\/80. Let n be 2*(-8)\/(160\/l). Let f(c) = -c - 18. Calculate f(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*j**4 + 4*j**3 + 2*j**2 + 154.\nAnswer: -624*j + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112246*c**3 - c**2 + 1883389*c?\nAnswer: -673476*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 8*f - 12. Let r be n(4). What is the greatest common factor of r and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 3\/5, -1, 5\/7, 4, 4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*h, -4*h = -6*w + 5*w + 48. What is the remainder when 202 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-24 + -19*(-23)\/46)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -8*l - 2 + l**2 + 7 + 0*l. Let w be v(8). What is the third derivative of 0*a**5 + 2*a**2 + 0*a**w + a**5 wrt a?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/6*48\/(-18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 12*j**2 - 26*j. What is the smallest common multiple of u(8) and 30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0\/s)**(-42)\/(((s**0\/s)\/s)\/(s\/((s*s*s**(-4\/9))\/s)))*((s\/s**(1\/2)*s)\/s)**(4\/5)*(s**(-1\/3)\/s*s)\/(s*s\/s**3) assuming s is positive.\nAnswer: s**(2048\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = b + 860, -4*v + 91 = -2*b - 591. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1554 - 1471. Calculate the remainder when l is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -141480*g**2 - 1499454 wrt g.\nAnswer: -282960*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**2 + 3*u**2 + 2*u**2 + u**2 + 0*u**2 + 3*u**2 + 0*u + 0*u - u**2 + (-1 - 2 + 4)*(3*u**2 + 2 - 2).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-3)*(-1 + (-2)\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46421329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 10*u**2 + 2*u + 10. Let c be k(10). Calculate the greatest common factor of c and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*p - 21 = -106*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8883 and 12690.\nAnswer: 88830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 29*j**3 + 2*j**2 - 3*j + 2. Let h be s(1). Suppose 4*t + 208 = h*t. Solve t*k = 2*k - 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -10*m - 2. Let p(r) = 9*r + 3. Let j = 3669 - 3672. Calculate j*u(x) - 2*p(x).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 times 73?\nAnswer: -2847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 54 (b) -7 (c) -0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -55707 rounded to the nearest one hundred?\nAnswer: -55700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4367 and 118306.\nAnswer: 1301366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*c + 30. Let t = -174 + 249. Calculate the greatest common divisor of t and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 12 = -3*w - w, 5*h + 35 = -5*w. Let s(c) = -6*c**2 + c. Let a be s(-1). What is the nearest to 0 in -0.5, w, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 5*r**2 - 3*r - 2. Let p = -22 + 42. Let w be 29\/(-2) - 10\/p. Let z be 5\/w + 26\/6. Determine n(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*s - 2209245 = -25*s + 373521. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2592481, -5184963, -7777445, -10369927, -12962409?\nAnswer: -15554891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31386, 31465, 31604, 31809, 32086, 32441, 32880, 33409?\nAnswer: 34034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -9. Let l be ((-14)\/(-3))\/((-64)\/(-96)). Solve n = 5*m - l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/3)\/((-2)\/(-3)). Let r be 2\/(-4) - j\/(-2). Let b be (49\/(-56))\/((-910)\/112 + 8). Solve b*c - 2*c = r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 147579, 147973, 148377, 148797, 149239?\n\"Answer: w**3 - w**2 + 390*w + 147189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u + 103*u + 7133 = 27*u + 2087 for u.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/1358 and 53\/1940.\nAnswer: 13580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*j + 2100670 = 28*j - 17*j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92 + -177.7. Round x to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1052*q + 14722. Calculate i(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**4\/12 + g. Let n(c) = -42 - 35 + 77 + 9*c. Give u(n(h)).\nAnswer: 81*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2754 divided by -322.\nAnswer: 1377\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + h - 4. Suppose -2*q - 2*p = 0, -3*q = -5*p - 4 - 12. Let i(o) = 4 - q - 3*o + 9 + 2*o**2. Give 8*b(l) + 3*i(l).\nAnswer: -2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnnnnnnnvnn. Give prob of sequence nnv.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -17. Let y be (6\/(-6))\/(d\/4). Solve 10 = -0*a + y*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73677*p**3 - 199162*p**3 - 6*p**2 + 5*p**2 + 8*p**2.\nAnswer: -272839*p**3 + 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101010110011011 (base 2) to base 5.\nAnswer: -12321334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 168*q**2 - 3*q - 3. Let g be u(-2). Suppose -22*p + 17*p = -g. Suppose -170 = -5*i - a, i - 5*i - a = -p. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8667 + 8526. Is -135 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 plus 22.6559295?\nAnswer: -17.3440705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**4\/2 + 6*k**3 - 15*k**2\/2 + 3*k = 0. Calculate k.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1105 = -34*v + 118*v + 5977 for v.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2049955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 10*k**2 + 66*k - 337. Is i(25) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.37916877 to four dps.\nAnswer: -1.3792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2821 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2919 - -4098. List the prime factors of t.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 319, -559, -2631, -5897, -10357?\n\"Answer: -597*d**2 + 913*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 22 - (-275 - -172).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -20*t + 3. Is i(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 16 = -2*b. Suppose b*i = 4*i + 4*o + 64, 2*i + 2*o = -72. Let k be i\/12*6\/(-4). Solve -5*h = 4*p + 3 - 0, -k*h = -p + 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 16) to base 3.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 v when four letters picked without replacement from {v: 6, i: 12}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**5\/60 + m**4\/3 - 5*m**3\/6 + m**2. What are the prime factors of y(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3.3. What is the third biggest value in a, -2\/53, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*z + 11. What are the prime factors of 182\/21*z\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**4\/12 + 13*u**3\/6 + u**2 + u. Suppose -24 = -3*s - 4*g, g = -s + 3*g + 8. Is 24 a factor of b(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**2 - 7*s - 1. Let w(l) = -l. What is d(o) - 6*w(o)?\nAnswer: -3*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llvllllllllvllllvlv. What is prob of picking 2 v and 2 l?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06596064 to 3 decimal places.\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2. Let j(x) be the second derivative of 0*x**3 + 0 + 0*x**2 - 57*x - 13\/12*x**4. Give n(j(a)).\nAnswer: 169*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12055323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -5891.\nAnswer: -2\/5891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -56. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 + 1.2. Let l = 6 + -5.6. Let d = l + m. Is d > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4154 or -3520?\nAnswer: -3520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*j**2 - 17*j**2 + 31*j**2 + 7*j**2 + 11*j**2 - 5*j**2 + (2*j + 2 - 2)*(j - j + j) + j**2 + 5*j**2 - 4*j**2 in the form q*j**2 + v*j + t and give q.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4329 + -4325. What is the nearest to -3\/25 in 0.2, 2\/7, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10217 - 3465 = 76*r - 227*r - 1451 for r.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.835317 to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 284, -0.3, 2.\nAnswer: -0.3, 2, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 2*q - q)*(2 - 2 - 1) + 41 - 41 + 3*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-5 + -3 + (16 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 10:26 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10054113 to the power of 1\/2, to the nearest integer?\nAnswer: 3171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -330 and -3615\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 36*w - 3. Calculate a(1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1588)\/(-15) + -6*(-11)\/495. What is the highest common factor of 901 and n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 259 and 737702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 451.1546mg?\nAnswer: 451154600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -1\/4*v**2 + 1\/3*v + 1\/18*v**3 - 178. Factor q(a).\nAnswer: (a - 2)*(a - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34715193 and 81002117?\nAnswer: 243006351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrvrrragrvjarajarar. What is prob of picking 1 g and 1 r?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + 56\/21)*-25*25140. Round s to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 275880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6320009 divided by 6320009\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2783.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2942*i**2*p - 484*i**2 - 380*i*p + 15*i + 129*p wrt i.\nAnswer: -5884*p - 968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 49610 = 5*i, -5*r - 5*i - 16530 = -6*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98248815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.332 - -4666.\nAnswer: 4666.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 510 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 4 - 9)*(4 + 3 - 5) - 5 + 5 + 1)*(-11 + 11 - 11*z).\nAnswer: 363*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 6:13 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 10*w + 10. Let u be m(7). Suppose j = 172 - 160. Let p = u + j. Calculate the lowest common multiple of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - n**2 - 2*n - 2. Calculate the smallest common multiple of v(-2) and 2 - ((2 - 4) + -18).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j. Let o(k) = 2*k - 1. Let f be o(6). Suppose -4*n + f - 3 = 0. Let p(x) = -5*x**2 + 3*x**n - 2*x**2 + 2*x**2. Calculate r(p(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 5*y + 1. Suppose m - 6*m = -3*g + 21, -g + 2 = 0. Let o = -2 - m. What is the remainder when o is divided by n(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*-2)\/sqrt(7))**2 - ((5*sqrt(114))\/sqrt(6) - sqrt(19)).\nAnswer: -4*sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 5*c**4\/24 + c**3\/3 - 1621*c**2. Suppose -2*f + i = -9, -2*f + f = 2*i - 2. Let z(g) = -5*g - 3. What is f*r(v) + 3*z(v)?\nAnswer: 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 4*u**2 + 3. Let g be l(-4). Let v = 1.8 + -5.8. What is the second biggest value in g, 0.03, v?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 68, 237, 568, 1115, 1932, 3073?\nAnswer: 4592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16048 and 442.\nAnswer: 208624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0085628035 to five dps.\nAnswer: 0.00856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 2124\nAnswer: 1\/2124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9875, 9931, 9989, 10049?\nAnswer: 10111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k + 4. Let y(v) = 9*v + 15. Let t(r) = -r - 1. Suppose 6*z + 1 = 7*z. Let h(n) = z*y(n) + 12*t(n). Calculate 7*h(f) - 5*i(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26445273 and 6810.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 17143*x - 102855. Let n be p(6). Let -33\/4*h**n - 120 + 45\/2*h**2 + 24*h + 3\/4*h**4 = 0. What is h?\nAnswer: -2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*v**2 + 60728*v**4 + v**2 - 2*v - 23 - 60690*v**4 wrt v?\nAnswer: 456*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 8*w + 3. Let x = -14 - -6. Let v be p(x). Solve -3*f + 5 + 1 = v*y, -3*y + 18 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 4:19 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 182*m + 33. Let b be d(3). Let h be b\/21 + (-76)\/133. Solve -4*r = -4*z + 4, -2*r + h = -3*z - 5*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -0*o. What is the second derivative of y + y - 4*y**3 + o*y**3 wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5548\/(-6)*(54\/(-12) + 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2763082 by 43.\nAnswer: 2763082\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 0*m**2 + 10\/3*m**3 + 42 + 0*m - 63\/4*m**4. Find the third derivative of t(q) wrt q.\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-6)\/32*(-216)\/162))\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 357779 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v + 2*v**2 + 205*v**3 - 408*v**3 - 3 + 201*v**3. Calculate the remainder when z(-3) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25\/((-72)\/16 - -5) is divided by 42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008014913931 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*f**2 + 179*f**2 + 48*f + 166*f**2 - 32*f - 483*f**2 - 16*f.\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f**2 + 0*f**2 + 0*f**2)*(-193 + 205 + 298 + 302) to w*f**2 + r*f + b and give w.\nAnswer: 1224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**3 + 4*z**2 + 9*z + 6. Let i(c) = -4*c**3 - 3*c**2 - 10*c - 6. Let q(a) = 3*i(a) + 2*j(a). Is q(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*a = -7*a - 211, 0 = 2*a - 2. Let i = t + 78. Suppose -630 = -i*w + 17*w. Is 17 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 159, 207, 235, 243, 231?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 10:24 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*u - 7*u = 110 - 1155 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13070000 rounded to the nearest 100000?\nAnswer: 13100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 1052*c + 837. Give s(-1).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9451 is divided by 9421.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eexcx. Give prob of sequence xe.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - g - 24. Let h be o(0). Let t be 1*-1728*2000\/h. Round t to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 + 2 + -1)*(21\/7)\/((-4)\/1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1284, -2489, -3640, -4731, -5756, -6709, -7584, -8375?\n\"Answer: f**3 + 21*f**2 - 1275*f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -60197.\nAnswer: -26\/60197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 1. Let h(f) = 5*f - 1. Let w(b) = -h(b) + 5*r(b). Let n(c) = -c**2 + c - 1. Suppose -6*v + 3 = -9*v. What is v*w(s) - 6*n(s)?\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991 a factor of 22095800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -22*z**3 - 3*z**2 - z + 2. Give s(-2).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 10. Determine f(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*d = 872258, 52*d + 1744483 = 4*n + 55*d. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1196*u = -26660 - 47808 + 15864 for u.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 94 - 93.8. What is the nearest to 0 in 3, 9, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2278612 is divided by 91144.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2\/15, 24\/13.\nAnswer: -13, 2\/15, 24\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 - 1)*((0 + 0 - 2)*(-2*g + 2*g - 2*g) - 2*g - g + 4*g).\nAnswer: -50*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 55. Let x be 8\/f + 114\/22. Suppose x*h + 12 = 27. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15713.438 + -15745. What is r rounded to 1 dp?\nAnswer: -31.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/3)*r**(-3) assuming r is positive.\nAnswer: r**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211435*n + 52857*n + 52858*n + 15 + 52860*n + 52863*n.\nAnswer: 3*n + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2599910815\/151979128 - 201582\/10619. Let w = v - -2\/1789. Let n be (3 - (-21)\/(-6))*6. Which is smaller: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2 + 2122*i + 6384 = 0. What is i?\nAnswer: -3, 1064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2961293 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11396097 is divided by 253243?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 4*s**2 - 3*s + 4. Let c be p(-4). Let v = c + 16. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*o + 5*s, 3*o - 31 = 8*o - 2*s. Let q be (10\/(-125))\/(165\/25 + -6). Which is the second biggest value? (a) o (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**3 - j + 1. Let t be s(1). Let f = 38 - 46. Which is the biggest value? (a) -2\/11 (b) 2\/17 (c) t (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1634162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-241)\/(-8435))\/(1\/(-7)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - r**2 - r + 4. Let p be d(0). Find the common denominator of -63\/8 and (-5)\/((-90)\/p) + 1092\/432.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, l: 3, k: 12}. Give prob of picking 1 l and 2 k.\nAnswer: 99\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 19 = 2*q + 3*q, 5*q - 3*t = 16. Suppose 10*u + 36 = 19*u. What is the remainder when q is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 4:08 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/30*(-10)\/(-4))\/(168\/504)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -440*w**3*y**3 - 86*w**3*y**2 + w**3*y + w**2*y + 57*w*y**5 + 4*w wrt y.\nAnswer: -2640*w**3 + 3420*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*u - 14*u - 25. Suppose 3*t = -0*g - 2*g + 440, 4*g - 878 = -u*t. What are the prime factors of g?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 1006*q = 1009*q - 15, 12 = 4*n + q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/sqrt(28) + sqrt(40)\/sqrt(72) + 5*(1 + sqrt(5))**2*5.\nAnswer: 305*sqrt(5)\/6 + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 10:59 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**4\/24 - q**3\/2 - q**2. Let n be h(0). Let o = 28 + -25. Which is the second smallest value? (a) n (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + 73 + -4 - -1. Calculate the greatest common factor of 936 and c.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -m + 11, 2*m + 0 = 2*q + 2. Let v = 0.03 - -0.27. Which is the third biggest value? (a) v (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11 + 2*y**3 + 6*y**2 - 25 - 313*y + 2*y**2 + 307*y.\nAnswer: 2*(y - 2)*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1623410 is divided by 148?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 799*o**2 - 2*o**3 - 3*o - 405*o**2 - 394*o**2 as l*o**2 + t*o + r + v*o**3 and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*b - 16 = -10*g, b + 1 = 0. Solve 5*z = g*z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m + 1. Let g be q(-1). Let y be 1*14\/4*-2. Let p = 11 + y. Which is smaller: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*x + 3 = 0, -6*t + 3*x - 6 = -t. Let z be (-3 + 42\/9)\/((-1)\/t). Let w(l) = -l**3 + 5*l**2 + l - 2. Let m be w(z). Solve -3*q + 3 = -m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 102\/(-68) - (-963)\/(-2). Let m = n - -483. Solve 0 = -m*s + s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3933.009435 to zero decimal places.\nAnswer: -3933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -815 + 1112. Calculate the highest common divisor of c and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -9 + (-13 - -1) - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4937648 to four decimal places.\nAnswer: -0.4938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4743.\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -1458?\nAnswer: -17\/1458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = 20*u + 23*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 35*x**2 - 26*x - 211. What is a(34)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1764037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + 4\/(24\/6282) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*q**4 + 294645*q**2 + 1291309078*q wrt q.\nAnswer: 324*q**2 + 589290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -868*x - 8. Let s(a) = 1735*a + 14. Give 5*q(h) + 3*s(h).\nAnswer: 865*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -158, -1293, 2\/13 in ascending order.\nAnswer: -1293, -158, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 220\/(-10)*(0 - -1). Let f = 13 + t. What are the prime factors of (-4)\/18 + (-209)\/f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1090334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 7*r**2. Let n be d(-7). Suppose -f + n*f = -20. Suppose -4*z = -0*z - f. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - b - b + (1 + 0 + 0)*(b + 2*b - b) + 2*b + 2*b - 3*b + b + 2*b + b)*((-96*b + 28*b - 68*b)*(3 + 1 - 2) - b + 2*b - 3*b).\nAnswer: -2466*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29089 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -2*j**3\/3 + 2*j**2 + 2*j - 2. Let p(q) = -q**2 + q - 1. Let a(b) = m(b) - 3*p(b). Let f be a(0). Solve 0 = h - 0 + f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 - -1)\/10 + -3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26512050, 53024105, 79536162, 106048221?\n\"Answer: u**2 + 26512052*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 3348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0*d - 1\/540*d**6 - 1\/9*d**4 - 1\/45*d**5 - 1\/6*d**3 + d**2 + 0. Let w(g) be the first derivative of b(g). Factor w(f).\nAnswer: -2*(f + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114\/1615*17)\/((-4)\/10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 + -73.000688. Round r to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1154046087 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16 (b) 0 (c) 2 (d) -13 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 163*h - 3156. Give z(10).\nAnswer: -1526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 9*v = g - 205, 2*g + 5*v = 455. List the prime factors of g.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 24*w**2 - 2*w + 1. Let m be x(1). Suppose -5*r + m = 383. What is r rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5\/4))**46 assuming i is positive.\nAnswer: i**(-115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - 9221*q**2 + 18512*q**2 - 4369*q**2 - 6*q.\nAnswer: 4922*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 4 + -5)\/(-1). Let b be (-1 + 2)\/(g\/9). Suppose -5*t + t - 14 = -2*a, 1 = -a - 2*t. Solve 0 = a*f + b + 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1401 - -1397. Let o be (-28)\/35 + 26\/45. Which is the closest to 2\/3? (a) z (b) 1\/10 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 1 - 4)*(2 - 1 + 3) - 5 + 2 + 1)*((-o + 0 + 0)*(4 + 0 - 6) + 3*o + 36*o + 33*o + (4*o - 3*o - 3*o)*(1 + 3 - 5) - 1 + 2*o + 1 - 3*o + 0*o + 5*o).\nAnswer: 160*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i**3 - 2*i**2 - 2*i - 3. Suppose -353*l = -349*l - 16. Let h(q) = -35*q**2 + l*q - 4*q**2 - 11*q**3 + 43*q**2 + 5. Give 3*h(z) + 5*n(z).\nAnswer: -3*z**3 + 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*b)*(-1 - 5 + 3)*(0 - 2 - 14) to o + d*b and give d.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2261.224 years in decades?\nAnswer: 226.1224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from flfwrfl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -8795, 2\/3, 2, -5, 435 in decreasing order.\nAnswer: 435, 2, 2\/3, -5, -8795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-146)\/(-2) + (-8)\/8. Suppose s = u + 18. Calculate the greatest common factor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 33.1.\nAnswer: 32.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25700571 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*w + w. Let j be (-1)\/w + 77\/(-2). Let d = -16 - j. What is the common denominator of d and -21\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*42\/98*7\/(-2)*25899\/(-873)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(102)*2 - sqrt(102)) + sqrt(102) - ((sqrt(102) - (2*-2*sqrt(102) - sqrt(102) - sqrt(102) - sqrt(102))) + sqrt(102)))*-4)\/(6*sqrt(864)*2*-5).\nAnswer: -sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57794 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-11)*(j\/(j*j**(2\/11)))\/j)\/(j**3)**21 assuming j is positive.\nAnswer: j**(-827\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3 and 137.\nAnswer: 178.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + i**2 - i. What is s(3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x + 202820 = 0. Let f = -63410 - x. What is f rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from finei. What is prob of sequence fnie?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*n**2 + 3 + n + 10*n**2 - n**3 - 6*n**2.\nAnswer: -(n - 1)*(n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 315\/(-75)*-1*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + q + 2 - 8 = 0, -3*q = -3*x. Solve v = -3*w + 2 - x, -4*v - 4 = 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 905 - 123 = 2*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 432, 758, 1084, 1410, 1736?\nAnswer: 2062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4711255 a multiple of 985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q - j - 3, -7 = -3*q - 4*j. Let k(y) = -20*y + 2*y**2 + 8*y + 5 + 4*y. Let m be k(4). Sort 8, q, m, -5 in decreasing order.\nAnswer: 8, m, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 0*k - 6. Suppose k*v + 39 = 5*n, 2*v = -n - 3*v - 9. Let c be 2 - 0\/((-2)\/1). What is the greatest common factor of c and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 8*z**2 - 11*z + 8. Let f(x) = -3*x**2 + 5*x - 4. Let r(w) = 5*f(w) + 2*u(w). Give r(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -7 + -1 + -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-4))\/((-14)\/(-56)) + 5. Factor -3*n**5 + 2*n**5 - p + 12*n**3 - 12*n + 4*n**4 + 2*n**2 + n.\nAnswer: -(n - 6)*(n - 1)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.17 - 0.15. Let m = 0.12 - q. Which is the nearest to -0.1? (a) m (b) 4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*g**2 - 14*g**2 + 50*g**2 - 22*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*i + 6, 4*i - 6 = i - 3*c. Let q(r) = 8*r + 1. What is q(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*s + 13 = 0, 0 = -0*s + s + 1. Let m(y) be the third derivative of -y**5\/60 - y**4\/4 - 5*y**3\/6 - 10*y**2. Determine m(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24 (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13728, 27420, 41082, 54708, 68292, 81828, 95310?\nAnswer: 108732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -565.5 times 304.7?\nAnswer: -172307.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {p: 2, g: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.512 to 2 dps.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a century in years?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7988 - 7989. Suppose -3*w - 298 + 100 = 0. Let l be 2\/2 - w\/(-54). Which is the closest to l? (a) -4 (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-138)\/8)\/((2175\/(-6960))\/(10\/(-24)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-one quarters of a gram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 12*h + 14. Let y be g(-1). Put -2, -0.3, -4, y in descending order.\nAnswer: y, -0.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4 + 34*r - 7 + 12 - 26*r - 7. Let q(l) = -8*l + 7. Determine 4*q(a) + 5*x(a).\nAnswer: 8*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*q + 68*q - 8*q**2)*(-9*q + q + 2*q + (3 - 3 + 4*q)*(1 + 3 - 5)).\nAnswer: 80*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, p: 11, f: 1, y: 1, v: 2, m: 4}. Give prob of picking 2 m and 1 y.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3417.9\nAnswer: 3412.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 17 (b) 0.09 (c) 2 (d) -607\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -10*h**3 - 87*h**2 - 16*h - 17. Calculate the remainder when v(-9) is divided by 38.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7523330 divided by -655?\nAnswer: -11486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 513 + -518. Let m be 4\/10 + 4\/(-10). Let t be 1 - (-1 - (-5)\/3). Which is the biggest value? (a) t (b) v (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/29278 and -41\/132.\nAnswer: 1932348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 5*w + 4*w)*(3*w**2 - 2*w**2 - 2*w**2) as v*w**3 + c*w + m + a*w**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -17. Is (-18)\/(-6) - ((-1 - l) + -643) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5065\/2 - -2582. Let j = -2243\/12 - -548\/3. What is the common denominator of n and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 11. Let z(g) be the first derivative of -g**4\/4 - 5*g**3\/3 + 5*g**2\/2 - 5*g + 298. What is z(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 137f3 - 2?\nAnswer: 137f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 - 77 = 8*h. Solve -2*f + h = 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 12. Let t(y) = -y**2 - 7*y + 6. Calculate t(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1243 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-562 - -580) + (-1 - 3) + -13\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**4\/24 - d**3\/6 - 3*d**2. Let q(j) = -j**2 - j + 1. Let k(s) = 1. Let r(x) = 4*k(x) - q(x). Calculate -a(t) - r(t).\nAnswer: -t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - 2*p + 0*p - 7*p - p + 0*p + (2 + 5 - 5)*(0*p + 4*p - 2*p) - 5*p + 2*p + 5*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-6*sqrt(20)\/sqrt(4) + -1*sqrt(605) + (sqrt(605) - (4 + sqrt(605) + 1 + sqrt(605))))*2)**2.\nAnswer: 1120*sqrt(5) + 15785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -144, -315, -480, -639, -792, -939?\n\"Answer: 3*l**2 - 180*l + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627 = -200*m + 108*m + 121*m - 69 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (321\/(-535))\/((6\/(-1))\/(2\/(-1)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-259*j + 1 - 2 + 30 + 153*j + 357*j)*(5*j + j - 5*j).\nAnswer: 251*j**2 + 29*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*c = b + 131, c = 2*b + 28. Suppose -u = -2*s - c, 6*s = 4*u + 3*s - 79. Suppose u*r - 250 = 6*r. What is the remainder when 97 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.02, 27, 2\/15, -0.5, 12233?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129 + -90. Suppose 4*g + 77 = 5*k, 23*g - 26*g - 35 = -2*k. Calculate the greatest common divisor of f and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 3:29 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000175905381 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 23*k - 27*k, -3*r = -2*k - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 6:44 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5.8277 or 1?\nAnswer: 5.8277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29, 0.3, -3748, -2\/9, -5, -1\/65?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 at least 2478\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 19*m - 18. Let w be c(3). Let u(a) = 32*a - 67*a + w*a. Let p(x) = -87 + 6*x + 87. Give p(u(s)).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -248 - -286. What is the remainder when 224 is divided by n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -10*r**3 + 61*r**2 - 7*r - 9. Let t be g(6). Let k(u) = -u**2 - 8*u + 100. Determine k(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00773 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10*4\/16)\/((-14)\/6048*-60)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 9 + 21 = 0. Factor d*z - 5*z**2 + 1 + 2*z**4 + 7*z**3 - z**2 + 12*z**2 + 3*z**2.\nAnswer: (z + 1)**3*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 33 (b) 0.3 (c) -51 (d) 72 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 500313724 to the power of 1\/2, to the nearest integer?\nAnswer: 22368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**2 - 197877*r - 148881096 = 0. Calculate r.\nAnswer: -744, 66703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p + 31. Let u be t(13). What is the highest common factor of 24 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.13 - -0.33. Which is the second smallest value? (a) -3 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3)*y**(-2\/9))\/(y**(2\/3)\/(y\/(y**(-5)\/y))) assuming y is positive.\nAnswer: y**(61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.137, -1\/7, 3.9 in decreasing order.\nAnswer: 3.9, 1\/4, -0.137, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 33 - 165. Let f be (8 + 1)*13\/(-3). Let c = -28 - f. Calculate the highest common divisor of v and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 756396802 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36244851*a**3*i**4 - 160*a**3 + 231*a**2 + 359*a - 1 wrt i.\nAnswer: 144979404*a**3*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 726, 1489, 2300, 3159, 4066, 5021, 6024?\nAnswer: 7075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**0*j**22)**(1\/3) assuming j is positive.\nAnswer: j**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -7*g**6\/60 + g**5\/12 - 433*g**4\/12 - 169*g**2 - 2*g. Find the second derivative of d(a) wrt a.\nAnswer: -84*a + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*i - 552, -5*k - i + 644 + 276 = 0. Let q = k - 124. Suppose -7*u = -8*u + q. Does 30 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 6*a + t - 1300, -4*t = -a + 650. What is the units digit of 2 - ((2 - 4) + -3 - a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-350)\/(-80))\/(35\/5))\/(205\/(-2))?\nAnswer: -1\/164","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(891) + 2*sqrt(891))**2*-6*-6 + (1*(sqrt(11) + 1) - (0 + sqrt(11))*-3)*2.\nAnswer: -5824*sqrt(11) + 289010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.02 (c) -1 (d) -4135\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2*c + 18, -15 = -3*c - 0. Let d(z) = -z**3 + 16*z**2 - 6*z + 72. What is the units digit of d(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**4\/8 - 77853*z**3\/8 - 77847*z**2\/8 + 389257*z\/8 - 58389\/2 = 0.\nAnswer: -77852, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*o + 5 = -27 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 12*a = 945. List the prime factors of a.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7*s + 6*s + 23*s. Let t(j) = -2*j. Give t(y(p)).\nAnswer: -44*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - -3.6. Let f = 118\/77 - 20\/11. Let j be 6 - ((-33)\/(-22) + (-1)\/2). Which is the nearest to f? (a) -0.3 (b) l (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/192 and 36\/11.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5239 is divided by 299.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 53*q**2 - 104*q - 102. Let m be w(-51). Let l = 0.08 + -3.08. What is the nearest to 7 in l, 1\/4, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 7*h**2 - 9*h + 2. Let x be b(8). Let q(u) be the second derivative of u**3\/6 + 9*u**2\/2 + 22*u + 1. Calculate q(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 44. Solve -2*a - 1 + 5 = z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**6\/120 - f**5\/15 + f**4\/6 - f**3\/2 + f**2. Let n be -4 - (12\/4 + -2). What are the prime factors of t(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1117, 2682, 4247, 5812?\n\"Answer: 1565*n - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 815749388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 5. Let c be h(5). Suppose -2*g + 3*g - 28 = -4*j, c = 2*g + 3*j - 41. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -29 + (-10 - -24)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*c + x - 566, 970 = 5*c - 5*x. Is 41 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 8*y + 6. Let u(n) = n**3 + 4*n**2 + 2*n + 6. Let i be u(-7). Let l = i + 149. Calculate s(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h + 6*h - 8*h**4 + 356 - 355 wrt h.\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 906075 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01758561872 to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 4417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 2752 = -56*k. What is the third smallest value in k, -8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191*22626.\nAnswer: 4321566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 49 - 8*b**2)*(-3*b - 2*b + 4*b) + (-5*b**2 + 0*b**2 + 0*b**2)*(3*b - 3*b - 2*b).\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {b: 2, i: 1, r: 7, l: 4, z: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5591168*n**2\/7 + 28724960*n\/7 - 36894050\/7.\nAnswer: -2*(1672*n - 4295)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 56540 divided by 23\nAnswer: 56540\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/5)\/((-3)\/135). Suppose j - 4 = -1. Suppose -j*a - 3*y + 6 + 15 = 0, -2*a + 2*y + 2 = 0. Calculate the highest common divisor of z and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.338, -0.06, 0.04?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9667063?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1 (b) -9.5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -25. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1. Let o(r) be the first derivative of -r**2 + 2*r - 1. Let y(u) = -o(u) + 4*q(u). Is 2 a factor of y(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3220787 + -16.6.\nAnswer: -3220803.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -850 - -834. Which is bigger: -152\/9 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**11\/(s\/(s\/(s\/((s*s**(-8\/9))\/s*s*s)*s)*s)) assuming s is positive.\nAnswer: s**(100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 81, 565, 1877, 4431, 8641, 14921?\n\"Answer: 69*y**3 + y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 85 = 199. What are the prime factors of a?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 + 3*n - 3*n + (-1 + 1 - n**2)*(21 - 21 + 14*n).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 664 = 4*b, -q + 101 = -4*b + 237. Let s = 134 + q. Suppose -1\/2*r**s - r + 0 + 1\/2*r**3 = 0. What is r?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1786*g - 1785*g - 140 = -36*m, 5*m = -5*g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/2 - (-4)\/(-8). Let d be (f + -1)*3\/(-2). Which is the third smallest value? (a) -0.5 (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of (10 - -1)\/(11\/110)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26127197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 856727787?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -311 divided by 5?\nAnswer: -311\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1494*f = 10496 + 29842 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*k - 5*a + 32, -2*k + 4*a = 14. Suppose r + 3*r - 369 = -5*q, -87 = -r - k*q. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -344.51 + 353. Let y = d + -37.29. What is y rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 11*b + 6 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 29*s**2 - 61*s + 159. Give j(31).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 608281, 608290, 608333, 608434, 608617, 608906?\nAnswer: 609325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvttbwtzvbbx. Give prob of picking 1 w and 1 b.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1067 is divided by 525?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 567049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 31780238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 3)*(0*t**2 + 2*t**4 + 0*t**2) + 8*t**4 - 392*t + 392*t to the form p*t**4 + u*t + d + k*t**2 + n*t**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 1743 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1456799 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2. Let w(l) be the first derivative of 5*l**2\/2 - 3. Calculate h(w(a)).\nAnswer: -50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5*40\/48?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 4*h + 12. Let g be h\/7 - (-93)\/(-21). Let d(q) = -q**3 - 3*q**2 - q - 4. What is the remainder when d(g) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*p = -12 - 4, 2*y = 5*p - 21. Put -12, -1, y in decreasing order.\nAnswer: y, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136301928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3)\/(v**3\/v)*v**(-1\/8)*v*v**5*v assuming v is positive.\nAnswer: v**(15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 45. What is the nearest to -0.1 in -0.1, q, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.025 - 0. Let v = j - 0.132. Let a = 0.048 - v. What is a rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 77c?\nAnswer: 77a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -318402 divided by -931?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2600)\/(-720) - (10\/4 + 1)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 - 19. Let z(q) = q**3 + 181*q**2 - 5387*q - 832. Calculate the remainder when z(-207) is divided by i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -11*h - 2392. Let w(s) = -3*s. Calculate w(t(y)).\nAnswer: 33*y + 7176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564885?\nAnswer: 3, 5, 12553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1995?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2099002 to the nearest integer?\nAnswer: 1449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145929 and 2793.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/22)\/(35*(-560)\/161700)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -7, 0.2, -5, 3, 77?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1572*z**4 + 7 + 783*z**4 + z**2 + 788*z**4 + 10*z**3 as j + t*z**2 + q*z**3 + s*z**4 + p*z and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 149362 and 7820?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/2)\/(3\/18). Let q be x\/(-2)*(-8)\/(-6). What is the remainder when 50 is divided by 265\/15 + q\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 227 - 29 = 0. Let w be 0\/2 - (16 - q). Is w at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5654610 to the power of 1\/2, to the nearest integer?\nAnswer: 2378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-3))\/(2\/10). Let y = -18.96 - 0.04. Let z = y - -15. What is the second smallest value in f, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(1539) - 1*sqrt(1539)) - sqrt(1539))*5 + 1 - 3*(sqrt(76) + 2*(sqrt(76) + sqrt(76)*-1))\/((sqrt(4) - (sqrt(144) - sqrt(36))) + sqrt(4)))**2.\nAnswer: -84*sqrt(19) + 33517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**4\/4 - 5*q**3\/3 - q**2 + 6*q - 2. Let h be -2 + -2*1 - 1. Calculate the remainder when 47 is divided by o(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 2*c + 3. Let x be y(3). Solve x = o - 1 - 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15532237*c - 6752097 with respect to c.\nAnswer: 15532237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 26, 72, 146, 254, 402, 596, 842?\nAnswer: 1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5808555 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4405 (base 7) to base 10\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - j. Let k be 2\/7 + 38\/14. Suppose -15*v + 12*v = 6. Let o(z) = 2*z**2 - 2*z. Let a(l) = k*w(l) + v*o(l). Determine a(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 328914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, m: 10, x: 1, i: 2}. What is prob of picking 2 i?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*sqrt(500))**2 + (sqrt(55)\/sqrt(176) + sqrt(320))**2.\nAnswer: -58555\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13983)\/(-132) - (-72)\/(-396). Let y = -2111\/20 + l. Is y at most as big as -28\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -678 divided by -339?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27044642*c**2 + 50960648*c - 2.\nAnswer: -54089284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-60)\/144*2 - (-19)\/(-2) and -53\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**5. Let z(s) = -62*s**6 - 6*s**5 + 260*s**2. Let a = 407 - 401. Let o(m) = a*w(m) + z(m). Find the third derivative of o(l) wrt l.\nAnswer: -7440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9144 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -2750?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84*j**4 - 2054019*j**3*p - 167*j**2*p + 30*j*p - 7*j + 2*p + 76 wrt j.\nAnswer: -2016*j - 12324114*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8a - -1b?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffffffffffjffff. What is prob of picking 2 f and 1 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3444 + -6889\/2. What is the fourth biggest value in -51, 0.2, c, 2?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/5 and 0 + (-265)\/40 + (-12)\/(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 + 13. Let n = m - -33. What is the lowest common multiple of 11 and n?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -121 + 4?\nAnswer: -11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, 45, 169, 331, 525, 745, 985?\nAnswer: 1239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**3 - 4*o**3 - 2*o**5)*(-3 + 6 - 1) + 1567*o**5 - 5003*o**5 + 1284*o**5 + 1216*o**5.\nAnswer: -940*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -517*k**4 + 381*k**4 - 781*k**4 + (0*k**2 - k**3 + 0*k**2)*(0*k - k + 3*k) in the form o*k**4 + b*k**3 + z*k + m + h*k**2 and give o.\nAnswer: -919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35537, 71351, 107173, 143009, 178865, 214747?\n\"Answer: r**3 - 2*r**2 + 35813*r - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.7 + -8.7. Suppose -3*i - 2*j + 4 = -6, -i - 2*j + 2 = 0. Let o = i + -1. Sort n, o, -0.3 in increasing order.\nAnswer: n, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 17*u + 34. Let q be v(15). Let h(x) = q - 17 + 4*x + 6 + 8 + 2*x. What is h(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**3 + 8*z**3 + 0 - 2 + (-2*z + 2*z + z**3)*(-6 - 1 + 17) to the form d + l*z**2 + v*z**3 + x*z and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 1101111?\nAnswer: -1101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.3 (b) -6 (c) -16\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-840)\/2205*(-9)\/2)\/((-2)\/(-28)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 30*h = -10*q + 26*h + 46, -66*h + 126*h + 28 = 62*h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -11*s - 3537. Which is bigger: -392 or s?\nAnswer: -392","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s. Let u(i) = -i - 291783. Give u(t(p)).\nAnswer: 4*p - 291783","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w = 15*w + 64. Suppose -w*m - 21 + 37 = 0. Solve -g - 5 = -m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*a + 9 = 54*a - 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 10*o**2 - 52*o - 52. What is b(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 6:08 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*l = -0*j + 1230, l = -2*j + 1230. Suppose j - 112 = y. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b - -b83?\nAnswer: b9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 490619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 4:20 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y + 9*y = 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17a98 (base 11) to base 9\nAnswer: 37603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 1. Let u(j) = 47*j - 4. Let z(i) = 344*i - 30. Let w(l) = 22*u(l) - 3*z(l). Let h = -26 + 19. Calculate h*x(o) + 3*w(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (7 - (-22 + 11 + 17 - 16)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Suppose 0 = -s*x - 5 - 1. Sort 0, 2, x in decreasing order.\nAnswer: 2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5203481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.3 - -1.3. Let b = -10.2 + 10. Let g = -3\/136 - -163\/1224. Sort b, g, i, 0.1 in descending order.\nAnswer: g, 0.1, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -6*k + 16. Let i be 2\/((4\/48)\/((-2)\/k)). Suppose 9*j = i + 6. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5635 divided by -5?\nAnswer: -1127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1225832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 3 = 2*j, -2*j - 1 = -101*l + 100*l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -687543*o**4 + 320370*o wrt o?\nAnswer: -8250516*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 - 36. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6979 + -34892\/5. Factor 3\/5*j**2 - 18\/5 - c*j.\nAnswer: 3*(j - 3)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 0*d**2 - 794*d**3 - d**2 + 7 + 15 + 795*d**3 - 8*d**2 - 13*d. Give h(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 30 = 4*m, 2*g - 193 + 106 = 9*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 + (-1235)\/38)*88\/1.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68 by -78.\nAnswer: 34\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -1. Let x = 4 + m. What is the common denominator of 61\/9 and (x\/(-12))\/((-10)\/(-618))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 9:55 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 9*q**3 + 3*q**2 + 3*q. Let n(x) = x**3 + x**2 + x + 1. Let t = -9383 - -9382. Determine t*o(z) + 2*n(z).\nAnswer: -7*z**3 - z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 136 - 139 + 0*l**2 in the form i*l + g*l**2 + u and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -1058*j + 2249*j - 392 - 1125*j. Determine n(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**3 + 24830*x**2 + 9567225*x = 0.\nAnswer: -4545, -421, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 + 18*v + 2951. Calculate i(43).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**4 - 95*o**3 + 285*o**2 + 1595*o + 1210 = 0.\nAnswer: -2, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.9 - 4.9. Is 0 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70669224?\nAnswer: 2, 3, 981517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6874*g**3*i - 18*g**3*j**2 - 15084*g**2*i - 3*g*i*j - 5*j**2 + 2*j wrt g.\nAnswer: -41244*i - 108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 6, -9*r + 5*r = -3*c - 10. Let m(v) = 9*v - 7. Let g(i) = i. Let w(h) = 6*g(h) + m(h). Let q(z) = 8*z - 4. Calculate r*w(a) - 7*q(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -324 - -324. Which is smaller: u or 9\/40?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15 + 4716*(-15)\/4710. Let f be 5 + 3\/(-6)*8. Is f smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 + 5*t**2 + 2*t + 5. Let j(d) = 4*d**3 - 10*d**2 - 4*d - 11. Let q(z) = 28*z + 949. Let o be q(-34). Calculate o*j(w) - 7*c(w).\nAnswer: 2*w**3 - 5*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 110\/300 + 3 - 7 and 494\/60 - 16\/40.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*u - 397*u - 2*x + 6 = 0, -3*u = 4*x - 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 4 + 3*c**4 - 2 - 4 + 5*c**2 - 3*c - 2 to q + x*c**2 + o*c + a*c**3 + y*c**4 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1677 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 273710 - 2?\nAnswer: 273708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**3\/3 + p + 165. Let y(g) = 3*g**2 + g + 11. Determine 4*v(i) - y(i).\nAnswer: i**2 - i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 3*w + 8 = 0, k - 6*k - 11 = 2*w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tythfaftpyf. Give prob of sequence yyp.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 812 and 464.\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/(-18) - (6 - (-168)\/(-27)). Let l(r) = -r**3 + 3*r**2 - 4*r + 2. Give l(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 3:45 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*f + 31*f - 492. Suppose 7*k - 2*k = u + f, -2*k - 5*u + 93 = 0. Calculate the remainder when k is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 47\/4 (c) -0.5 (d) -5\/4 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/3280 and 83\/2870.\nAnswer: 22960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2072*x**3 - 2 + 12810*x**2 - 12811*x**2 - 98*x**3 in the form a*x**2 + v*x**3 + w + b*x and give v.\nAnswer: -2170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*v + 16*v - 14*v - 2 + 45*v + 2*v**2 + 15*v as u*v + h + t*v**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27482134?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220301 - -1?\nAnswer: -220300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 917286.1kg in micrograms?\nAnswer: 917286100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(637) + 0 + sqrt(637) - sqrt(637)) + -5)*-5)**2*-5.\nAnswer: -2068750 + 218750*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 659 + 1157 = -357*a + 130*a. Let h(r) = r**2 + 12*r + 28. What is h(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2, 5\/3, -3, 33, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22439\/4 + 5610. What is the second smallest value in 2, y, 9, 0.7, 4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(2\/21))**(4\/7))**31 assuming l is positive.\nAnswer: l**(4960\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (12\/75)\/(14\/(-35))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33980544 and 117312?\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + -1 + (-23)\/(-4). What is the third smallest value in -0.3, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttta when four letters picked without replacement from attttaattataa?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((18*7\/(-315))\/(6\/(-35)))\/((-1)\/(-12))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 2*g + 3. Let z be w(3). Suppose 2*q - 3 = 5. Solve 4*m + z*m + q = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 8*s - 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2651581558?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 290292.813 + -290285.813000344. Let g = k - 7. Round g to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18*44\/(8448\/(-72)))\/(1\/(40\/(-6))).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 60*i**3 - 2696*i**2 + 2*i - 833238 wrt i.\nAnswer: 180*i**2 - 5392*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 31*u - 11. Let o(k) = 6*k - 2. Calculate 22*o(c) - 4*r(c).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 330 = -0*g. Suppose -3*t + 1 = -j + 14, 0 = -4*j + 5*t + g. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*w + 28*w + 517. Let s(k) = 10*k + 12 - 20*k + 11*k. What is s(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020 (base 4) in base 15?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(76)*5 + -1*sqrt(76)*-2 + sqrt(76))\/(sqrt(48)\/(sqrt(12)*-1*-3)).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -10*v**3 - 4*v**2 + v. Is b(-4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*u - 4*b, u - 3*b = 5*u + 25. Let g be (-1 + 9)*(-7)\/u. Factor 8*t + 0 + 4 + 2*t**2 + g - 4.\nAnswer: 2*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -848 + 858. Calculate the remainder when 39 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*v + 16*v - 16*v**2 to the form q + l*v**2 + d*v and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m - 16 = 0. Suppose m*l = -4*i + 4 - 0, 4*l - 2*i = 16. Suppose 4*k**5 - 3*k**2 - 10*k**l + 9*k**2 + k**3 - k**5 = 0. What is k?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(((sqrt(72) - (-3*sqrt(72) + sqrt(72))) + sqrt(72))\/sqrt(6)) + -2 - ((1*sqrt(288))\/sqrt(12))\/(sqrt(8) - (-1*sqrt(48) + sqrt(48))\/sqrt(6)).\nAnswer: -2 - 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-30))\/(((-24)\/2)\/(40\/(212\/(-53))))?\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 38\/3 (b) -4 (c) 5 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1754216 is divided by 438475.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.025899 minutes to milliseconds.\nAnswer: 61553.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/2 + 41*z**2\/2 - 220*z + 200 = 0. What is z?\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -914, -1827, -2740, -3653?\n\"Answer: -913*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23873 or 134.7?\nAnswer: 134.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5114 + 203. What is the highest common factor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -68*k - 201. Suppose 38 - 17 = -7*f. Let q be n(f). Suppose r = 7 + 9. Which is the second biggest value? (a) q (b) r (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a. Let g(v) = 49*v**2 + 84. Let w(u) = -u**2 - 2. Let l(d) = -g(d) - 42*w(d). Calculate f(l(m)).\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36790 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 16 = 2*v - 32, -6 = -5*v + f + 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 30 - 68*h + 0*h**2 - 41*h + 32*h.\nAnswer: -h**2 - 77*h - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3450 - 3285. Calculate the least common multiple of 12 and k.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 3. Suppose -26 = 2*g - 3*q, f*g + 2*q + 27 = -2*g. Is g + 4 + (-1 - -22) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - c1?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*q**4*y**2 - 16*q**4*y + 2*q**2 + 3*y**2 + 548*y wrt q?\nAnswer: 1104*q*y**2 - 384*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 7*d**2 - d + 6. Let y = 7 + 0. Let m be g(y). Let i(c) = -12*c + 1. What is the tens digit of i(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1778 (b) 1\/42 (c) 0.01 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1723 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -217 - -224. Let n(q) be the first derivative of -1\/14*q**4 + 2\/35*q**5 + 0*q - 2\/21*q**3 + 1\/7*q**2 - o. Factor n(v).\nAnswer: 2*v*(v - 1)**2*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 8*b**2 + 11*b + 17. Suppose -29*h + 196 - 376 = -9*h. What is o(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 344.5 - 346. Which is the second smallest value? (a) 5 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 648531 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: Is 20 a factor of 17391535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 15 = 0, -w = 4*w + 3*b - 145. Suppose -4*r + k = -72, r + 5*k - w = 7. Suppose -x + r + 2 = 0. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 36 = -41. Let g be (-125920)\/(-32) + (-2)\/(2\/v). What is g rounded to the nearest one hundred?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -34. Let o(a) = 0*a**2 + 0*a**2 + 3 + s*a - a**2 + 0*a. List the prime factors of o(9).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3131 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/((sqrt(8) - 1*sqrt(8)) + sqrt(8)) + (sqrt(24)\/(sqrt(40)\/sqrt(5) + sqrt(8)) - sqrt(3)) + sqrt(3))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 426 = -198. What is the remainder when v is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 4897.\nAnswer: 19588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 1225*f + 17346. Give k(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 g, and 2 l when four letters picked without replacement from eeulgllglguugelgllg.\nAnswer: 63\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.302 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9119*a**4*r + a**4 + 51*a*r + a + 606*r - 4 wrt a?\nAnswer: -109428*a**2*r + 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96896 by -757.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v - 5*w + 5 = 0, -1 = -w. Let x = -72 + 91.5. Let q = -19 + x. Which is the fourth biggest value? (a) v (b) -1 (c) q (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419.35 times -0.11?\nAnswer: -46.1285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(((sqrt(2) - sqrt(2)*-2) + sqrt(2))*-5) + 1 + (sqrt(54)\/(-1*sqrt(3)))**2.\nAnswer: -3*sqrt(2)\/20 + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85384412101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 5*q + 7, -2*z - 4*q - 13 = -7*z. Suppose 14*w = 15*w - 18. Calculate the least common multiple of 1\/(-1*z\/(-10)) and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 c, and 1 h when three letters picked without replacement from {i: 1, h: 1, c: 4, q: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 13, -6, -43, -98?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 0*x - 20 + 2*x**2 - 2*x**3 - 3*x + 17 + 0*x. Let i(t) = -t**3 - t - 1. What is -3*i(p) + k(p)?\nAnswer: p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j - 3 + 3 + (4*j - j + 0*j)*(-10 + 18 + 19))*(13*j - 13*j - 17*j) to o*j + p + q*j**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 15. Let f = 16 - l. Let p(b) = b + 7. Let y be p(f). Calculate the greatest common factor of y and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -186*g - 513. Let n(t) = -62*t - 171. Let r(l) = 6*d(l) - 17*n(l). Is r(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - 2*k**2)*(-3*k**2 + 5*k**2 + 0*k**2) + 2*k**3 - 4*k**4 - k**4 - 17*k + 15*k.\nAnswer: -9*k**4 + 2*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (0 + 1 + -3)) + (101 - 79).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/58)\/(1 + -3). Suppose 33*w + 5 = 38*w - 5*j, 5*j = -5. Which is smaller: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -0.372\nAnswer: -16.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17386457320 - -17386457312.265046797. Let f = -69.734951873 - o. Let t = 62 + f. Round t to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/12 + 165\/(-220)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*o + 205*o + 924 = 0. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265251 (base 7) in base 4?\nAnswer: -30023031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g + 2. Let r(c) = -c**3 + c**2 - c + 2. Suppose 4*l - 3*l = 0. Let b be r(l). Give q(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4269255 rounded to the nearest 100000?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -149 - -174 - 18\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(325) + 4 + (sqrt(325) - (-4 + -2 + sqrt(325))) - (5 + -2*(sqrt(325) - sqrt(325)*-1 - sqrt(325)) + (sqrt(325) + -1*sqrt(325))*-1))**2.\nAnswer: 50*sqrt(13) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45\/8 of a milligram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7*w**2 - w + 1. Let s(a) = -7*a**2 + 2. Let y(d) = -3*b(d) + 2*s(d). Let c(p) = 11*p**2 + 5*p + 2. Calculate 5*c(g) - 8*y(g).\nAnswer: -g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 234515207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 44? (a) 1348 (b) 1\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 64.3 times -5\nAnswer: -321.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.1, -1, -2\/3?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a8a9 (base 11) to base 9.\nAnswer: -21666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((-4)\/(-12)*6). Suppose -d + s*u + 19 = u, 3*d - 5*u = 97. Let c be 155\/(-2 - (-44)\/d). What is c rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, s: 2, v: 3, j: 2}. Give prob of sequence gsgs.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 47685239 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -754.7?\nAnswer: -754.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112726812 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/180 and 13\/96?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81563.\nAnswer: 81563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 14 = 4. Let y = 0.7 + 0.05. Let o = 0.35 - y. What is the closest to -0.1 in q, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.6, -32, -4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 307*d**3*t - d**3 - d**2*t**2 + 5660*t**2 wrt d?\nAnswer: 921*d**2*t - 3*d**2 - 2*d*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 81292 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4\/5 - 1608868*l**3\/5 - 323555421306*l**2\/5 + 647115669224*l\/5 - 323558639048\/5 = 0 for l.\nAnswer: -402218, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 379487.8ug to nanograms.\nAnswer: 379487800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23894548 or 23894547?\nAnswer: 23894548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 24 - 10. Let g = x - 13. Suppose g*l - 3 = 1. Which is the nearest to -1\/4? (a) -4 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.043 - 10.843. Let x = k + 11. Suppose -3*r - 1 + 4 = 0. What is the third smallest value in r, 2\/11, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-272)\/10*(-1 + -4). Let z be q\/85 + (-1)\/(-5)*2. Let 5*i**3 - 3*i - 3*i**3 - z - 2*i**3 + i**3 = 0. What is i?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 (base 12) in base 9?\nAnswer: -402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 352 - 350. Solve -b*r + 4*r + 6 = -2*m, -22 = 4*m - r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(238))\/sqrt(7))\/sqrt(2)*1.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54624 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 359*i - 4465 - 27654 - 947 - 2834 for i.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-66))\/((-203391)\/(-24057))?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 + 499 = 10*t + 69. Solve -3*p + 12 = u, -t + 53 = -5*u + p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t = -5*d - 4*t + 45, 0 = 3*d - 5*t - 16 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-19)*z)\/(z\/z**(-21)))\/((z*z*z\/(z**(-7)\/z))\/z*z\/(z*z\/(z*z\/((z**(-2\/3)\/z)\/z*z*z)))))**24 assuming z is positive.\nAnswer: z**(-1240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*h - 17*h - 781 = 819 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 27 - 321 = 0. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 20*w**2 - 15. Suppose 0 = -33*y + 45 + 21. Let f(u) = -u**2 + 1. What is y*q(c) + 30*f(c)?\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 20, -173, 2\/5 in descending order.\nAnswer: 20, 0.5, 2\/5, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/15)\/((-297)\/990).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 421, 784, 1115, 1312, 1273, 896?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -41.942. Round i to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -337153115*q**3 - 134129799 wrt q?\nAnswer: -1011459345*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29749.78 nanometers to micrometers.\nAnswer: 29.74978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453571 = -39*z + 1082765 - 217317. List the prime factors of z.\nAnswer: 31, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 + 2*c**2 + 1. Let o(u) = 3*u**3 - 8*u**2 + 5*u + 3. Let d(x) = 4*b(x) + o(x). Let h(i) = 26*i**3 - 26*i - 36. What is -16*d(a) - 3*h(a)?\nAnswer: 2*a**3 - 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61906655*g**6 - 239*g**2 + 2528.\nAnswer: -7428798600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 - 121 = 9*h - 47 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5\/2)\/((c*(c**(1\/5)\/c)\/c)\/c))\/(c**(-8)*((c**(-4\/9)*c)\/c*c)\/c) assuming c is positive.\nAnswer: c**(697\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*b - 50*b**3 - 32 - 8*b + 54 - 27 + 6*b**4 + 17*b to the form g + a*b**3 + k*b**4 + t*b + c*b**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/15)*g)\/g**6*g**(-4)*g**(-1\/3) assuming g is positive.\nAnswer: g**(-136\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -347*l**3\/6 - 132*l. Let o(a) = -2*a. Determine o(d(p)).\nAnswer: 694*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 + -0.15. Let n(m) = 4*m + 22. Let i be n(0). Suppose 3*r - 13 = -i. Which is the biggest value? (a) w (b) r (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 2 - 3*h + 6 - 5*h**2 - 1 - h. Let l be w(-4). Factor s**5 + 3*s**2 - l*s**4 + s**3 - s**2 - 2*s**5 + s**4.\nAnswer: -s**2*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or 194?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/4 greater than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -50644\nAnswer: 1012.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.182.\nAnswer: -0.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4553740223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -64 + 1248681?\nAnswer: 1248616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*1\/2*208\/(-1300)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2126 + 2290. What is the least common multiple of m and 7?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - k + 3 + 11, 0 = 4*k - 20. Suppose -65*r + 376 = 111*r + 200*r. Solve 2 + r = -p*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a tonne in kilograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -36e1dc (base 15) in base 12?\nAnswer: -a69899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3040, 6798, 11338, 16660, 22764, 29650, 37318?\nAnswer: 45768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/27, -4, -1014 in ascending order.\nAnswer: -1014, -4, 1\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1887*d**2. Let z(t) = -298*t**2. Calculate r(z(h)).\nAnswer: 167573148*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiqhiddwqmwqh. Give prob of sequence dq.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**3 + 9*a**2 + 19*a + 5. What is the lowest common multiple of c(-2) and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 19 + 5*p**2 - 10)*(-4 - 2*p + 4)*(-5 + 0 + 4).\nAnswer: 10*p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 19*o**3 + 5*o**2 - 2*o - 40. Let c be v(-9). What is the common denominator of (1\/18)\/(1\/109) and c\/(-1872) - 2\/8?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/4*22\/110\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4)\/(1\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (2 - (1 + -1 + 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 21*w - 1. Calculate n(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2511389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 136, 154, 170, 184, 196?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -17 - (19 + -15)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48791200 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/154 and 41\/70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - -3 - (11 - 7). Let u be (d - -2)\/(6\/24). Suppose -u*o - 46 = -130. Solve -4*b + 4 - o = 5*w, -2*w = -5*b - 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a + 3*n + 16792, -2*n = 5*a - 20990. Let g = a - 2655. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7*i**3 + 6*i**2 - 2*i - 8. Let d(z) = 6*z**3 - 5*z**2 + 2*z + 7. Let b(f) = -4*f - 13. Let v be b(-9). Let q = v - 29. Calculate q*d(u) - 5*w(u).\nAnswer: -u**3 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*v - 6*v + 6*v)*(-106*v - 1345 + 13 + 108*v) to the form a + z*v + p*v**2 and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**4\/24 + f**3\/6 + 2*f**2. Let p be i(1). Solve 0 = -3*u + p*u + y + 5, -3*u + 5*y + 21 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w + 6 + 15*w - w - 8 + 23 in the form c*w + t and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/3 and ((-130)\/(-910))\/(-84*2\/250).\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 18178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -13. Suppose 5*u + 6 = 2*r + 3, r - 5*u + z = 0. Suppose -64*x + 2801 + 783 = 0. Calculate the highest common divisor of x and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2*r + 3*r)*(3 + 2*r - 2*r + r) - 101*r**2 - 3 + 230*r**2 - 97*r**2.\nAnswer: 35*r**2 + 9*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -228\/13, -0.5, -144\/5, 0.2, -0.1?\nAnswer: -144\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1011 = -360*i - 789. Let q be -1 + -2 + 1 - 0. Sort i, q, -56 in increasing order.\nAnswer: -56, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 14*a - 6 = 0. Let x = a - 0. Let k(u) = -u - 3. Determine k(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 222200200?\nAnswer: 222200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t**2. Let d(i) = 69*i + 1. Calculate m(d(q)).\nAnswer: -28566*q**2 - 828*q - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10614)\/(-244))\/29)\/(2 + (-145)\/(-4))?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**5 - 10002*c**4 - 4*c**3 + 7951*c**2 + 27*c - 1.\nAnswer: -120*c**2 - 240048*c - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.2, -0.0158, -5, -45.9, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*n + 1, n - 743 = -2*k. Let j = -368 + k. Solve j*t - 15 = 5*f, -1 = -3*t + 3*f + 14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 + 2*y**4 + 2*y**3 - 38*y**4 + 11*y**4 - 29*y**4 + (y**4 + 0*y**3 + 0*y**3)*(0 + 4 - 5) - 4*y**4 - y**4 - y**4.\nAnswer: -61*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-12)*8\/3. Let o(g) = -6*g**2 - 2*g - 4. Let p be o(c). Find the common denominator of -80\/51 and -4 + 0 - (520\/p - 2).\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4\/7 + 9*t**3 - 786*t**2\/7 + 720*t\/7.\nAnswer: 3*t*(t - 8)*(t - 1)*(t + 30)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Let g = 2.12 - 1.92. Let d = 0.3 - -0.2. Which is the closest to x? (a) -4 (b) g (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 8:06 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-1900)\/(-3) + -2)\/(3\/((-891)\/(-18)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000001101 - -10101010110?\nAnswer: 101101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -10, -14 + 0 = -2*r - 5*n. Let t(m) = m - 5. Let s be t(3). Let b be (-2)\/s*(3 - 0). Is r > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/512 and -79\/2080?\nAnswer: 33280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -16*h - 3. Let y(x) = -88*x - 16. Let i(c) = 28*f(c) - 5*y(c). Let s be ((-2)\/(-4))\/(5\/(-60)). What is the remainder when i(s) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-9)\/(-2))*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 21. Suppose 4 = d*w - j - 5, 4 = 4*w - 4*j. Solve n + w = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -18*u + 26. Let d be n(6). Let j = d + 85. Solve 0 = j*l + 4*i - 32, -i + 1 = -4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/94 + (-36632)\/(-203886).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15333031 (base 6) in base 16?\nAnswer: -841ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 94605588 divided by -23651397?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7*(3\/(-3))\/(-1). Let t = j - -10. Suppose -t*r + 4*g = -355, -r + 2*r + 2*g = 125. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*a - 9*a + 2*a + (-2 + 3 + 1)*(-a + 0*a + 0*a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1193 - -46?\nAnswer: -1148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/8*-2)\/(121\/(-121))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 11:37 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2233.197 + 2232. Let x = 2665627937.803000723 + -2665627939. Let j = a - x. What is j rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 309 - 2586669*s + 227 + 2586681*s + (1 + 1 + 0)*(-s + 0*s - s).\nAnswer: 8*s + 536","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u\/(u*u\/u**(2\/5))*u)\/u))\/u)\/(u**6\/u*u*u))\/(u*u**(-2\/7))**(2\/19)*(u*(u**(-1)\/u)\/u)**17*(u**(-2)*u)\/u*u\/(u**(-7)*u)*u assuming u is positive.\nAnswer: u**(-22926\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5380 divided by 1076.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - 164*g + 80*g + 84*g - 338.\nAnswer: -2*g**2 - 338","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -24*n + 1. List the prime factors of c(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51.5 - 51. What is the fourth biggest value in j, 0.09, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30688.8 times -0.44?\nAnswer: -13503.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1776583095 and 2815?\nAnswer: 2815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + 6*-2*sqrt(200)) + (2 + (sqrt(98)*1 - sqrt(98))*-4 + sqrt(98) + sqrt(98) + -5*(1 + sqrt(98) + sqrt(98)) + sqrt(98))**2.\nAnswer: -66*sqrt(2) + 4811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44092 = -33*g - 4294. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = b + 4*b. Let u be (b\/36)\/((-4)\/(-30)). Let v(s) = 226 - u*s - 226. Let d(t) = -3*t. What is d(v(g))?\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.7 + -13.7. Let q = -0.4 + -1.6. Put 2\/7, q, k in increasing order.\nAnswer: q, 2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + 0. Let z = i + -0.8. What is the nearest to -0.1 in z, 1\/9, -5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1548)\/486)\/(-43))\/(-1)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -9) + (6 + 8 - 6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23.3 - -25. Let u = a - 1.48. Let x = 0.08 + u. Put 1, 4\/5, x in descending order.\nAnswer: 1, 4\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6012225 to the nearest integer?\nAnswer: 2452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/522 and 85\/432.\nAnswer: 12528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 78\/5*r - 3\/5*r**2.\nAnswer: -3*r*(r + 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212 + 4*r - 105 - 107.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ninety-one halves of a day?\nAnswer: 1092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 4*p**2 + 4*p - 3. Let c be z(3). Suppose c = 5*q + 10, -m - 5 = 5*q - 15. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 30. Let h be (6\/5)\/(o\/(-5)). Let r(w) = 1 - 4 + 2. Let u(v) = 2*v**2 + v - 3. Determine h*r(m) - u(m).\nAnswer: -2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -601 + 1142. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 428588 and 872?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d - d + 0*d + (-7 - 1 - 3)*(42 + 6*d - 42) + (1 + 6 - 5)*(d - 3*d + 0*d).\nAnswer: -72*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1836 - -6910. Calculate the highest common divisor of k and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6282.9992 + 6313. Let l = -30 + u. Round l to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -1\/9*q**4 + 1\/36*q**5 + 0*q + 2\/9*q**3 - 1\/360*q**6 - 1 - q**2. Factor y(b).\nAnswer: -(b - 2)**2*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -942717036*g**5 + 773807359*g wrt g?\nAnswer: -18854340720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 599221, 599139, 599071, 599017, 598977, 598951, 598939?\n\"Answer: 7*p**2 - 103*p + 599317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-472)\/(-48))\/(-59)*9\/(-2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (11 - 1 - (-57 + 55))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 2*t**2 - 2*t + 4. Calculate l(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 11:00 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.157 + -110.157. Let g = -109.99999993 - m. Round g to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -21*g**3 - 3*g**2 - 18*g - 18. Let n(b) = b**3 + b + 1. Give -18*n(y) - w(y).\nAnswer: 3*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(117)\/(-3*sqrt(900)) - (sqrt(78)\/(sqrt(24) - sqrt(6)) + 0))**2 + -5).\nAnswer: -7993\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20370c (base 15) in base 12?\nAnswer: -619826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81\/(-90))\/((6\/5)\/(24\/12)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 10:19 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-four fifths of a meter?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1823878 divided by 1\nAnswer: 1823878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**4 + 3276195*f**3 - 78626760*f**2 + 629008960*f - 1677350400 = 0.\nAnswer: 8, 655215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Let k be (2\/q)\/(1*-1). Let r(y) = 7*y + 7*y - 7*y + 1 - 6*y. Give r(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 5*w + 15, -3*g = -2*w - 2*w - 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3645727397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a century in months?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 5*q - 10. Let d be j(2). Solve 16 = -4*a, d*c + 12 = -a - 0*a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 54\/7 (b) -1\/8 (c) -2\/7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4116 and 79342074.\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-2 - (-1 + -2))*(-63)\/(-105)*5. Suppose -59\/2*j**3 - 1711*j + 841 + 3597\/4*j**2 + 1\/4*j**n = 0. What is j?\nAnswer: 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) -0.2 (c) 1\/4 (d) -495 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 e, and 1 t when three letters picked without replacement from wtjeejeetwjwt.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -y + 3, 1134*x - 219 + 66 = 64*y + 1139*x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 8*j = 4796 - 4766. Let a be (20\/(-8))\/(2\/28). Sort a, j, 5 in descending order.\nAnswer: 5, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x + 4*x + (4 - 6 + 3)*(-3 - x + 3))*(-x + 7*x + 2*x).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44366 + 0?\nAnswer: 44366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + 0 + (-7 - -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97 + -97. Suppose k*t = 8*t - 704. Is 37 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*w - 34 = -2*w, 0 = 4*m - 2*w - 22. Suppose -q = -2 + m. Let v(x) = -x - 5. Calculate v(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -1. Suppose -y*r + 10 = -s, 2*r - 5*r + 16 = 2*s. Suppose 5*l = -4*d + 46, 2*l + s*l + 2*d = 38. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 0\/34)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 207630 and 103538160?\nAnswer: 310614480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*o**3 - 847*o**3 - o + o.\nAnswer: -676*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 112 (b) 2\/63 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g - 26. Give b(3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n**3 - n**3 + 4*n**3)*(2 - 2 - 2*n) + (0*n**3 + 3*n**3 - 5*n**3)*(n - 2*n + 4*n) to the form j*n**4 + o*n**3 + m*n + f*n**2 + h and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x + 20. Let v be w(0). Suppose -d - 8 = -n - 3*d, 5*d - v = 5*n. Calculate the remainder when 5 + -1 + 36 + n is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17026212983769 + -4.\nAnswer: -17026212983773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 565212?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 - 57. Which is the biggest value? (a) 2\/3 (b) v (c) -1\/4 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 578*v - 79*v - 46*v.\nAnswer: 453*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/(165\/(-880)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.025 (b) -6.6 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(35)\/sqrt(7) + -2 + sqrt(405))**2*-5.\nAnswer: -2745 + 700*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5 + g**2 + 1 + 7*g**2 - g**3 + g**2 - 8*g. Calculate s(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 6:32 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/253 and 61\/2553?\nAnswer: 28083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12305.4 and -23.\nAnswer: -283024.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - (-3 + -1 + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*r - 25*r + 208 = 23*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 54\/5 of a milligram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 370531205701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3195017051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/246120 and -157\/24193596.\nAnswer: 241935960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(1053))*-2)**2.\nAnswer: -216*sqrt(13) + 4248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 3*m - 2*m)*(147 - 43 + 100 + 91).\nAnswer: 295*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2166224*s**4 + 6132147*s wrt s.\nAnswer: -25994688*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -377900 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -26*(6 - 2)\/120. Which is greater: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = -2*p - 4*o - 106, -p = o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**4\/12 + 5*n**3\/6 + 5*n**2\/2 - 4*n. Suppose 28 = -u + 5*u. Let y be 8\/(-10)*(u + -2). Give c(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -22 + 0*h**3 + 0*h**2 - 3\/10*h**5 + h - h**4. Find the third derivative of b(q) wrt q.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -3, -221, -1, 43 in descending order.\nAnswer: 66, 43, -1, -3, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/10*117194\/4. Let s = p - -5855. Calculate the common denominator of -89\/10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-8))\/((-4)\/(-24)*-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31*96\/19344*33\/(-6).\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -24 + 20 + (192 + 2 - 1). Let t = 6 + u. What is the highest common factor of t and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1627, 1655, 1703, 1765, 1835, 1907, 1975?\n\"Answer: -r**3 + 16*r**2 - 13*r + 1625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 143325?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwjjurjwjwrrwfr. Give prob of picking 1 r and 1 w.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -2, 0, 3, -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*o - 4*f, 0 = o + 4*o - f - 34. What is the remainder when 22 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36778 - 200?\nAnswer: 36578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - h - 12, 0 = 5*a - 3*h - 11. Let w be 3*(a\/1 - (-56)\/(-12)). Let u = 29 + -86\/3. What is the closest to 0.1 in u, -1, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -84 and -204276.\nAnswer: 17159184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00083035659 to 6 dps.\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -173454\nAnswer: 10407.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 2 + -23 + 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 27*k**2 - 39*k - 1050. Let p be y(-27). Sort p, -32, -5, -22, 1 in increasing order.\nAnswer: -32, -22, -5, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, -2, 13, -0.8 in increasing order.\nAnswer: -2, -0.8, -0.3, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -848, -1686, -2534, -3398, -4284, -5198, -6146, -7134?\nAnswer: -8168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, s: 3, l: 4, d: 1, h: 2}. Give prob of sequence dhhs.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -101444 (base 8) in base 3?\nAnswer: -1201001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 2 + 5 + -1 + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 233\/644 - 7\/92. What is the biggest value in o, 0, -2\/95?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-1 - 2)) + 5 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 + -5.52. Round p to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 4:18 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 minus -11898041446?\nAnswer: 11898041314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*i + l + 44, 5*l = 0. Suppose -3*m + 10 = -2. Factor -i*w + 35*w**2 + m - 25\/2*w**3.\nAnswer: -(w - 2)*(5*w - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -721803 divided by -51\nAnswer: 14153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 15 + -4 + 7 + 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - z + 11 = 2, -2*j + 5*z + 3 = 0. Suppose 0 = d + 4*d - 20. Is d\/3*5946\/j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-50))\/(4\/2). Let l = -5 + 4.7. Let b = -237 - -234. Sort b, w, l, 0.4 in descending order.\nAnswer: 0.4, w, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 + 22 - 3*q**2 - 8 - 14.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 60 = 44*r - 40*r, 3*r + 15 = -2*k. Let s be (87\/12 + -7)\/(k\/16). Which is the fourth smallest value? (a) 2 (b) 424 (c) s (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1604 - -1603.99998082. Round h to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -7683\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6946944 to the power of 1\/2, to the nearest integer?\nAnswer: 2636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Are 141 and 119 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**4 + 153*m + 21 - 2*m**4 + m**3 + 2*m**2 - 153*m in the form y*m**2 + h + z*m**3 + k*m + v*m**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 465*q**6 + 17*q**5 + 4*q**3 + 54962*q**2 wrt q.\nAnswer: 55800*q**3 + 1020*q**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53580 a multiple of 282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -67*o - 2*o + 19*o + 21 + 20*o. Suppose t - 10 = 11. Let n = 8 - 10. Let d(i) = -3*i + 2. Calculate n*r(h) + t*d(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 1. Let o be (-2)\/(z*1\/18). Let a = 33 - o. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -497 - 25a?\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g + 15 = 0. What is the units digit of 11 - -3*(-4)\/g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*100\/(-4) + (2 - 3) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187641 is divided by 46845?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20, -14, -2, 16, 40, 70?\n\"Answer: 3*j**2 - 3*j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**7\/4200 + j**5\/600 + 17*j**3\/6 + 20*j**2. Let m(z) be the first derivative of k(z). Factor m(l).\nAnswer: -l*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12295*b**4 + 11389 wrt b?\nAnswer: 49180*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 181*k - 40868. Give t(225).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 61*m - 106. Let a be 15\/25 - (-142)\/5. Let x = a + -17. Calculate the remainder when x is divided by j(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 4*w**2 - 3*w + 1. Let r be a(-3). Let u = r + 1. What is the remainder when (-3)\/u*-2*7 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7336500 rounded to the nearest 100000?\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - 28. What is the remainder when 93 is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-3\/7))\/d**(1\/7)*(d\/(d*d**(2\/3)*d*d)*d)**37*(d**(-6)\/(d\/(d*d*d**(-2\/7)*d)*d))**(-45) assuming d is positive.\nAnswer: d**(3709\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 8:33 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 209893 and 0.01.\nAnswer: 209893.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333765 is divided by 1644?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 190 = -90. Let g(t) = 110*t + 42. Let o(i) = 36*i + 15. Let j(r) = m*o(r) - 5*g(r). Let h(n) = 2*n + 3 - 3. Determine h(j(c)).\nAnswer: -92*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6468588 and 23940.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 110032570562 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 614 + -613.8. Which is the nearest to -1? (a) w (b) -0.1 (c) -0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -16*k**3 - 5*k - 37. Let x(v) = -8*v**3 - 3*v - 18. Let r(l) = -5*x(l) + 3*z(l). What is the derivative of r(u) wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*y + 816, -5*y = -4*d + 372 + 716. Are 6 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*o + p - 1370, -o + 475 = 4*p. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 2. What is the remainder when i(4) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -3*r - 14, 0 = -2*r + p + p - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpvp when four letters picked without replacement from vpvp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/168408703 and -93\/8.\nAnswer: 1347269624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 1 - 3. Let s be -4*(z - 0\/3). Suppose s*x = 0, 3*g + x - 36 = 2*x. Calculate the highest common divisor of 8 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*f + 53*f + 76*f)*(1 + 5 - 3) - 3*f - f + 5*f.\nAnswer: 445*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1436 and -8953.174241?\nAnswer: 8953.317841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v - 7*v**2 + 6*v**2 + 0 - 2. Let c be d(6). Suppose -4*j - 105 = -5*q + j, -4*q - c*j = -116. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 - 1 - j)*((4 - 2 + 0)*(2*j - 2*j + 2*j) + 3*j + 2 - 2) as z*j**2 + k + n*j and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-171)\/(-15) - (-10)\/(-25). Suppose 15*r - 672 = h*r. Suppose -26 = -c - 5*j + 30, 2*j + r = 3*c. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 at most as big as 459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 16*d + 1. Let r(o) = 3*o - 7. What is the remainder when h(3) is divided by r(8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + -2 - -4*(sqrt(8)\/sqrt(4) + sqrt(2)).\nAnswer: -2 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 15\/4*8\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95744+253955\nAnswer: 158211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94*j**4 + 13*j**2 + 2*j - 11584.\nAnswer: -376*j**3 + 26*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1281 is divided by 639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10120)\/(-25) - (-1)\/5. Suppose y + 0*y + 5*c = 93, 5*y - b = -5*c. Suppose 4*p - 2*p - y = 0. Calculate the highest common divisor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(5\/7))*m*m\/(m\/(m\/m**(1\/13)*m)))\/(m**(26\/7)*m**27) assuming m is positive.\nAnswer: m**(-352\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11042 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12719790 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - 13. Let d be 2\/(-5) + c\/(-30). List the prime factors of 71 - (0 - (d + 2)).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*y - 3*y + 3*y + (-1 - 1 - 1)*(-y - y + 3*y) + (y - 2*y + 3*y)*(-1 + 3 - 4) - 5 - y + 5 to n*y + r and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8397 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/3)*f**(-2\/9)\/f*f assuming f is positive.\nAnswer: f**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 divided by -9?\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 15100\/(-5032))*(12 + -9 + 4). Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -192 + 0?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103605 is divided by 2607.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - f**2 - 2*f**2)*(10*f**2 - 2*f**2 - 4*f**2)*(-10 + 0 + 2) + 27*f - 10*f**4 - 27*f.\nAnswer: -42*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 5 (c) -1\/6 (d) 51 (e) 2\/151 (f) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 26?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 * -0.7\nAnswer: 1.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1826*b**2*k**3 - 10*b*k**3 - 37*k**3 wrt b?\nAnswer: 3652*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i. Let v(y) = -18*y. Calculate a(v(t)).\nAnswer: 72*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 114995 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3161 * 0.07.\nAnswer: -221.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87979791*y**6 + 39557339*y**2?\nAnswer: -10557574920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 32. Let t = 36 - m. Suppose -3*g = 0, -4*g = -5*p - 0*g + 90. What is the remainder when p is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 342725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l = 5*x - 25, 5 = l - 5*x. Let h be (-1 + 1)*(-89)\/178. Solve f = -l*d + 22, h*d - 16 = -4*d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 68325 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 + 525\/(-20) + 6\/(-8). Let g = 42 + l. What is the highest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)*(i\/i**(-3))\/i)\/(i**0*i**(-6))*(i*i**(1\/4)*i**(-7)*i*i)\/(i**(-1\/7)\/i**(-5)) assuming i is positive.\nAnswer: i**(19\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31668, -63402, -95136, -126870, -158604, -190338?\n\"Answer: -31734*d + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 54*s + 17. What is the hundreds digit of y(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 1, -25, 2\/9, -2, 247.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.001 + -0.499. What is the biggest value in 0, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1646 - 330 = -31*j + 5*j. Solve j = -25*l + 51 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p*u - 523*p - 2660*u wrt p.\nAnswer: 2*u - 523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 v when four letters picked without replacement from uuuvdcnuc.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*w**3 + 29*w**3 + 31*w**3 + 28*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/35))**(-17)*((l**(1\/19)*l)\/l)\/l**23)**(-1\/74) assuming l is positive.\nAnswer: l**(13444\/24605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9*w**2 + 13*w - 44. Let o be r(-15). Let p = o - -455062\/201. Is 0 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1280)\/(-12)*12\/10. Let x = -125 + m. Calculate the remainder when 9 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*c**2*h**2 + 529324*c**2*h + c**2 - c*h**2 + 2563*c*h + 127*c + 2*h**2 wrt c?\nAnswer: -70*h**2 + 1058648*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 + -10.3. Let a = -9.998 - b. Round a to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -88, -125, -198, -319, -500, -753, -1090?\nAnswer: -1523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 3*t**5\/20 + 5*t**4\/12 + 7*t**3\/6 + t**2 + 2123*t. What is i(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tje when three letters picked without replacement from {t: 8, j: 2, e: 4}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m - 16 = 6*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdrrrnkrnrrkrr. Give prob of sequence zkd.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 275530400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1200120122202?\nAnswer: 1200120122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z - 4*z - 10*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0*t - 3*t. Suppose 4*r - 11*r - 18746 = t. Is ((-36)\/28 - -1) + r\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*f - 3. Let g(c) = c + 2 - 2. What is g(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/17 - 25054*u\/17 - 527016\/17.\nAnswer: 2*(u - 12548)*(u + 21)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 20 = 4*h - 35, 0 = -4*b - 4. Let y = -9 + h. Let p be (-6)\/(-8)*(20 - 0). What is the highest common factor of p and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 + 24. Let c = r - -31.6. Sort 0.3, c, 5 in ascending order.\nAnswer: c, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94833592?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -210777.\nAnswer: -10\/210777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 - 877 - 868 + x**2 + 2609 - 3*x**2 - 869.\nAnswer: 2*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*d + 23*d + 86*d**3 + 1 - 60*d**2 - 87*d**3 in the form t + u*d**2 + p*d + b*d**3 and give u.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23623 - -23624. Let g(k) = -43*k**3 + k**2 + 3*k - 3. Determine g(s).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 9*d**2 + 10*d + 101. What is u(-10)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 7 = -3. Let v be 19*(b + 9 + -3). Suppose -w = 2 - v. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - (2*sqrt(1188) + sqrt(33))) + sqrt(33) + (sqrt(2112)*-1 - sqrt(2112)))\/((sqrt(132) - sqrt(132)*2*5 - sqrt(132))\/sqrt(3)).\nAnswer: 27*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**3*k - 2*j**2*k - 8*j**2 + k + 2523 wrt j.\nAnswer: 6*j**2*k - 4*j*k - 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -134.4 and -39372?\nAnswer: 39237.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (12\/(-2) + -16). Let z(y) = 4*y - 3. Let p be z(2). Let k = p - 2. Solve -2*g = k*j - q, 0 = -3*j + 2*j + 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (54\/12 + -1 + 6\/(-1))*-14. Solve 28*y + o = 21*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 43690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706376 is divided by 33636.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1748\/41, 16.\nAnswer: 0, 16, 1748\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -13 + 14 + 54 + -2 + 3.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3\/2, -6, 2\/9, -22.7, 0.2, -2\/19?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-57)\/(-4) - 6\/(-8). Suppose -3*n - 24 = -i, 3*i = -2*n - 8 + 47. Calculate the highest common divisor of i and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**8\/70560 + w**7\/1960 + w**6\/180 + 13*w**5\/12 + 8*w**2 - 4*w. Let x(y) be the third derivative of q(y). Factor x(k).\nAnswer: 2*(k + 2)*(k + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 - 115 + 23 + 0*h**3 + h**2 + (-4*h + 0*h + 0*h)*(3*h**2 - 6*h**2 + 4*h**2).\nAnswer: -2*h**3 + h**2 - 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -36011?\nAnswer: 36004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 112 - 108373185.\nAnswer: -108373073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -229 greater than -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + c - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, n: 2, u: 1, i: 2}. Give prob of picking 2 n and 2 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 + 3*x**2 + 2*x**2. Let r(n) be the second derivative of 19*n**3\/6 + 731*n. Give u(r(v)).\nAnswer: 722*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1539819 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 101, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37255 by -16.\nAnswer: -37255\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -330 - 320*v**2 + 4*v**3 + 1548 - 16*v + 62.\nAnswer: 4*(v - 80)*(v - 2)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -326 + 325.999325. Round k to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4345629?\nAnswer: 3, 53, 151, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -581530*q**2 - 2*q**3 - q**3 + 581530*q**2.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 550 and 164725?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 1217, 3091, 6129, 10571, 16657, 24627?\nAnswer: 34721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eezeeeeezeueue. What is prob of picking 2 u and 2 e?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -1122333?\nAnswer: 1123001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -56 (c) -0.47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v + 2*v**2 + 6 - 4 - 4 + 3 to r*v**2 + g + u*v and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15775 is divided by 493.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*a - a - l, -2*a + 4*l = 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n + 27. Give t(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (48\/(-64))\/(1\/4). Let y = -6 + x. Let n(f) = -2*f - 3. Give n(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 584?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696852.\nAnswer: 2, 3, 13, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -2*y - 8, 3*o - 7*y + 6*y = 14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.08 + -0.08. Let y = r + -1.5. What is the biggest value in y, 2\/3, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 2*b + 1. Let f be q(-1). Suppose f*k - k = -169. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (17 + -8) - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or 0.036?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*2\/(-4) - (-4057 + -4). Suppose -1494 - q = -4*f + 3*m, 2 = -m. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-352))\/((-12040)\/(-27520))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3094 - 3088. What is the lowest common multiple of 164 and j?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 - -132. Let y(a) be the third derivative of -a**5\/60 - 17*a**4\/24 - 25*a**3\/3 + 84*a**2. What is the remainder when u is divided by y(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 17, 2\/9, 0, -18, 3, -5, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let g(t) = -29*t**2 - 4*t + 1. Calculate g(s) + 6*p(s).\nAnswer: -29*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -414, -401, -380, -351, -314, -269, -216?\n\"Answer: 4*c**2 + c - 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 0 + -5 + 1 + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*v - 15, 4*v = -42*p + 40*p + 12. Let h be 2\/(-5) - (-1748)\/60*v. What is the highest common divisor of 1131 and h?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465043.572 microseconds in weeks?\nAnswer: 0.00000076892125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*b = 6, 3*n - b - b - 4 = 0. Solve n*p = 5*p - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3713404 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 2:20 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 76b7 - -3?\nAnswer: 76ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) + 5*32\/60. Sort -8, 8, v, -5 in decreasing order.\nAnswer: 8, v, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 = 7*f - 111 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1170)\/81)\/(-13)*9. Solve -5*m = -4*x + 21, 6*x = -m + x - p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**3 - 14*t**2 + 32*t - 38. What is the remainder when l(-7) is divided by (1*3)\/((-2)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2177.\nAnswer: 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 507*g**2 + 3026*g + 5. Calculate f(-6).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2*((4*-3)\/4)\/8\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22594 - 22564. Solve 141*p - 151*p + l = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 13*y**2 - 5*y - 8. Let b = 22 - 11. Calculate the remainder when w(-2) is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3664802 millilitres?\nAnswer: 0.0003664802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -5*h**3 + 50*h**2 - 85*h - 140 = 0.\nAnswer: -1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 5, 18 in decreasing order.\nAnswer: 18, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 44\/(-8))*(-8931)\/(-6870)\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40237621 (base 8) in base 14?\nAnswer: 11a6c5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/((-4)\/7)*8. Suppose 0*p + m = 4*p. Calculate the smallest common multiple of p and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -287*v**2 - 3*v + 4. Calculate a(1).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*o - 1 + 8, -k + 17 = -3*o. Find the third derivative of -7*d**2 - 3*d**3 + 0*d**k + 14*d**3 wrt d.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2))\/((-4)\/16). Suppose -3*d - w + 4 = -g*w, 5 = 5*d - 2*w. Suppose -7 = l + 2*h, -2*l - h = 2 - d. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25193104009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114319 and 581?\nAnswer: 66419339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.1124, 2\/7, 0.72 in increasing order.\nAnswer: -0.1124, 2\/7, 0.72, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 59. Solve -z - 8 = -p - y, -9 = 3*p + 3*z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7634724317?\nAnswer: 11, 694065847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(6\/13)\/n)\/(n\/(n\/(n**(1\/3)*n))*n)*n**(-1\/16)*n*n*((n*n**9)\/n)\/n assuming n is positive.\nAnswer: n**(4409\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (0 - -4)) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 4*s - 8 - 13 = 0, 0 = 2*j + 2*s + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65931323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 - 4*q + 1. Let v = -18 + 7. Let n(s) = -s**2 - 10*s + 14. Let x be n(v). Give t(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -10*i. Let m(p) = 503*p**2 - 2*p + 5. Let g(w) = 249*w**2 - w + 2. Let k(a) = -5*g(a) + 2*m(a). Calculate k(y(b)).\nAnswer: -23900*b**2 - 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**2\/7 - 321477*i\/7 - 160306974\/7 = 0.\nAnswer: -106658, -501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.187 times -0.3?\nAnswer: -0.0561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2\/3 - 75712*c\/3 + 1513840\/3 = 0. What is c?\nAnswer: 20, 75692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 712843.9l in millilitres?\nAnswer: 712843900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(17)*2 - sqrt(850)\/sqrt(2))*1.\nAnswer: -3*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -812 (b) -0.4 (c) 1 (d) -2\/7 (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*c**3 + 32*c**3 - 11*c**3.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -2. Let t be (2 - 1)\/((-1)\/b). Put 4, -1, t in ascending order.\nAnswer: t, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10113738 by 10113738.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 427134 < 2989937\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 92. What is the third derivative of -m*g**2 + g - 10*g**2 - g - 3*g**4 wrt g?\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2348 + -2344. Put -773, 1\/5, k in descending order.\nAnswer: k, 1\/5, -773","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (73\/(-4))\/(2\/8). What is the remainder when i\/(-3) + (-2)\/(-3) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1580*x - 653*x + 661*x + 427*x as q + s*x and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3223.5 - -0.241?\nAnswer: 3223.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.4 - -5. Let l = 2.3 - d. Round l to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18233, -36491, -54751, -73013, -91277, -109543?\nAnswer: -127811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (21 - 70 - -114) + 1 + 1?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2\/5 - 242047*a\/5 + 3872496\/5 = 0. What is a?\nAnswer: 16, 242031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4569922 less than 3967?\nAnswer: -4565955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 462.9821 centuries in months?\nAnswer: 555578.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 318*a - 7. Let g(m) = -m - 1. Calculate 6*g(z) - h(z).\nAnswer: -324*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 31. Let a be 7*f\/(-8) - (-4)\/(-8). Suppose 0 = -a*k + 15 - 0. What is the remainder when 13 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1309009 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5015898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0.1. Suppose 0 = 2*l + 63 - 67. What is the nearest to k in l, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 5*z + 4*z, z = 3*p. Suppose -5*r + 230 = a, -2*r = -2*a - 19 - 85. Let t = -47 + r. Is p not equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 439 + -439. Let n(c) = -c**2 + 7*c + 1. Let y be n(6). What is the fourth smallest value in j, -1\/3, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + l + 2)*(-1 + 1 - 4*l**4) - 5*l - 2*l**5 - 1624*l**2 + 1 + 1622*l**2 - 7.\nAnswer: -6*l**5 - 2*l**2 - 5*l - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u + 2. Let m be ((-20)\/(-6))\/(10\/210*14). Let q(d) = 4*d + 3. What is m*q(f) - 8*x(f)?\nAnswer: -4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - 8. Let x be p(-4). Which is smaller: -2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from fjfjfjfpfc?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1480 and -47\/122258952?\nAnswer: 611294760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/37)\/((l\/(l\/(l**(-9)\/l)))\/l)*(l**25*l)**(2\/175))**31 assuming l is positive.\nAnswer: l**(2256769\/6475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*j - 153*j + 131144 + 257504 = 0. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*y - 26*y + 6*y.\nAnswer: -42*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 12052951?\nAnswer: -12052952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**4\/24 - 11*k**3\/6 - 62*k**2 + k - 7. Let s(c) be the second derivative of d(c). Calculate s(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.067, 2.4, 5\/6?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -153827301*y**2 + 1486350*y + 28?\nAnswer: -307654602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*o + 144 = 159*o. Calculate the remainder when 46 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29944.8409 rounded to the nearest 10?\nAnswer: -29940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 5*x**2 + 8*x - 4. Let r be l(3). Let m be 1*(-1)\/(-2)*r. Let p be 9 + (-102)\/48 + m\/8. Solve -c = 3*q - p, 5*q - 8 = 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {d: 4, t: 1, a: 1, x: 2, j: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z. Let j(l) = 81*l - 4. Let v(h) = -7777*h + 385. Let u(m) = 385*j(m) + 4*v(m). Calculate f(u(b)).\nAnswer: 154*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/18 - 192270\/14040 - (-7)\/(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:14 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-132)*-23*(-7)\/3220\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 406835184 divided by -6\nAnswer: -67805864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28\/(-7) - -3069 - -2?\nAnswer: 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 121 + -42. Let l = b - 77. Solve 0 = -h - 2*h + l*v - 20, 16 = 4*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -9130.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.72 + 10. Let o = -0.18 + m. Let v = -7 + 5. Which is the closest to -0.1? (a) v (b) -0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = -5*o. What is the third derivative of -48*y**3 - 19*y**2 + 16*y**3 + o*y**2 wrt y?\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 5018?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3602\/36)\/(-14 + 440\/30). Let s = 454\/3 - f. Let n = 0 + 5. Which is the nearest to -0.2? (a) s (b) -1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/54 and -17\/61806?\nAnswer: 556254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4\/7, 2\/15 in decreasing order.\nAnswer: 2\/15, 0, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = 7*h - 45*h - 206 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i - 29 + 15 + 19.\nAnswer: -10*i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102637 by -521.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3*g - 3, -g - 3 + 16 = -5*m. Let x be 4\/m*(-4 + 0). Is (x + 7)*11\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 551 divided by -29?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 3*j**2 - j - 4. Determine k(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 747811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 18*i**2 + 4*i - 73. Determine p(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 2*f + 1. Let c be a(-5). Let l = 25 - c. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -12. Let f be 45*(1 - (-10)\/(-8)). Let l = -233\/20 - f. What is the closest to -0.1 in d, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 145, 211, 371, 685, 1213, 2015?\n\"Answer: 10*c**3 - 13*c**2 + 35*c + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44354.76 nanometers in centimeters?\nAnswer: 0.004435476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10*(-4)\/8)\/((-2)\/(-6)). Let n(g) = g**2 + 17*g + 33. Let c be n(k). Solve 12*d = 9*d + c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -220912615, -220912614, -220912615, -220912618, -220912623?\n\"Answer: -y**2 + 4*y - 220912618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 44. Let j(q) = 3*q**3 + 2*q**2 + 61*q - 164. Calculate the remainder when j(3) is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -20.35?\nAnswer: -12.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17034 and 4692.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = -5*x + 3*u + 17, 5 = 5*u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 216, 555, 1088, 1911, 3120, 4811, 7080?\n\"Answer: 16*i**3 + i**2 + 224*i - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2318, 9047, 20148, 35621, 55466, 79683, 108272?\nAnswer: 141233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -4. Suppose -v + 3*o + 0 = 6, -4*v + d = 3*o. Solve s + i = -2*i - 10, -2*i - 4 = v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-266)\/(-342) + (-2)\/(-9). Let h(f) = 5217*f - 40. Is h(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(272) - ((1 + sqrt(272) - sqrt(272)) + sqrt(272))) + sqrt(272) + 5) + 4 + (sqrt(272) - 3*(sqrt(272) - sqrt(272)*1)) + -1*sqrt(272)*-4)**2.\nAnswer: 384*sqrt(17) + 9856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3 (b) -6 (c) 1.4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -509?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2*-3*-1*1\/(-6)*-11\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 472905 and -275.073.\nAnswer: 472629.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8699*x - 8695*x + 17406*x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4466 + 43.9.\nAnswer: -4422.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 616 - -a?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -132, -136, -140, -144?\n\"Answer: -4*i - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-6)\/360)\/(36\/(-3570)) and (-7)\/6*(-172)\/(-28).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/7*1)\/(-1)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 151730078 to the power of 1\/3, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43156301*b**5 - 3300*b + 2016.\nAnswer: 863126020*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-7 - -4) - (9 + 6 + -49)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 200083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.67 - -6.1. Let l = h + -0.3. Let b = 11.56 + -6.56. What is the second biggest value in l, b, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + ((-20)\/11 - -2). Let a be 3*-1 - (-3 - -4). Let v be a\/(-6)*(0 - 6). Which is bigger: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4040 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g - 3. Let f be a(9). Suppose 2*x + 23 = 2*h + x, h = 3*x + f. Calculate the remainder when 22 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3670524.529 rounded to the nearest 10000?\nAnswer: 3670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -210\/517 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 640.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6171*177.6.\nAnswer: 1095969.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76226660 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -94 - 4bb2?\nAnswer: -5086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2352)\/1177 + 9\/12 + (-10)\/(-8). Which is the fifth smallest value? (a) 3 (b) 0 (c) 4 (d) -5 (e) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(931) + 2)**2.\nAnswer: 28*sqrt(19) + 937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7188\/8)\/((-3)\/(-4)). Let u be 5*-6*2253\/(-30). Let s = u - i. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v - 1. Suppose 3*t + i = 3 + 9, 31 = 5*t - 2*i. Calculate f(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6404413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from {a: 10, r: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 237 and 1037191.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 12:12 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h. Let t(q) = 1986350862*q. What is w(t(c))?\nAnswer: 3972701724*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + i + 184 = 0, 5*f - 91 = i + 213. What are the prime factors of (-3*(-35)\/f)\/(2\/72)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*l - 640, -2*l - 3*v = -0*l - 321. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 + 1 + 2*k**3 - k + k**2 + 3*k**2 + 0*k. Suppose -2 = -0*s + s. Calculate j(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 434, 1395, 3310, 6497, 11274, 17959?\nAnswer: 26870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 11:05 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 40, 2\/3, 4, 2, 30\/19, -1.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/13)\/(y\/y**30)*y\/(y**(-1\/72)\/y)*(y**(2\/11)\/y)\/y*y assuming y is positive.\nAnswer: y**(309311\/10296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 506 + 519 = 0. Find the second derivative of -k*c**2 - 121*c + 41*c + 15*c**2 wrt c.\nAnswer: -380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 - 89. What is the first derivative of -u**3 + 1093*u + 11*u**h - 25 - 1093*u wrt u?\nAnswer: -3*u**2 + 22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8439 - -123. List the prime factors of u.\nAnswer: 2, 3, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - j**2 + 1 + 13*j**2 - 11*j**2. Let a(n) = 3*n**3 + 4*n**2 - 2*n + 6. Give -a(x) + 4*s(x).\nAnswer: x**3 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + x + 4. Let h be k(7). Let d be 3*(h\/9)\/5. Suppose -2*s + 4 + d = 0. Solve -5 = -4*c + 3*c - s*q, 0 = -q + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -409 in 2\/3, -2, 7, -1\/10, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(12) + -6*(sqrt(48)\/sqrt(4) + sqrt(12)) + sqrt(12))\/(sqrt(28)\/(sqrt(28)\/sqrt(4))).\nAnswer: -10*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10738853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npnpgpnngpp. What is prob of picking 3 p and 1 n?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(126) + sqrt(126))*4)\/sqrt(7))\/(5*(sqrt(9) + sqrt(225)) - sqrt(9)*-2*-6)*-3*5.\nAnswer: -50*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 2360104832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-585)\/52*(0 + -1)\/((-2119)\/52 - -41).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f - 36 = 39*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*j**4 + 2*j**3 + 21*j**2 wrt j?\nAnswer: 1320*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.9 + -5.901005. What is u rounded to 5 dps?\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*y = 29291 + 56985, -4*n - 2*y = -69022. Suppose -62*b + n = -38*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10201 + 21202?\nAnswer: 102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, -4, -39, 28\/25 in decreasing order.\nAnswer: 28\/25, -4, -39, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 59\/80*d**5 - 179*d**2 + 0 + 205379\/24*d**3 + 3481\/32*d**4 + 1\/480*d**6 + 0*d. Factor u(z).\nAnswer: (z + 59)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 56\/16 + 1\/(-2). Let k = w - -3. Let t(p) = p - 3. Let a be t(k). Solve -a*u = -0*u + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3729136?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -221, -1, 5, 1, 2.\nAnswer: -221, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3 - 16\/3. Let t be (-58)\/(-6) + 4\/l. Let h = t - 13\/2. Which is the third biggest value? (a) h (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w**3 - 4*w**2 + 3*w + 5. Suppose 0 = o + 2*o - 12, 4 = 2*z + 3*o. Let c(k) = -k**3 - k**2 + k + 1. Give z*c(n) + x(n).\nAnswer: -2*n**3 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, q: 3, p: 7, t: 4}. What is prob of sequence pp?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 9*z - 9. Let p be q(-9). Let a be (p - 0)*(-1 + (-42)\/18). Solve -a = -6*w + w + d, 20 = -4*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8 = j, 7*d - 8 = 9*d - 5*j. What are the prime factors of 458199\/378 - 1\/d?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183413.3 millilitres to litres.\nAnswer: 183.4133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 126882*p = 126877*p + 52, -q - 3*p = -30 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 785393.2ml?\nAnswer: 785.3932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7085 and 4.\nAnswer: -7081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (7 + -4) - -5) + 11 + -10.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + 70\/(-21))*3. Suppose 3*h + o*s - 157 = 0, 17*s = 12*s + 10. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 + -127642956?\nAnswer: -127642785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 164.6 + -17.6. Let p = 146.99738 - i. What is p rounded to 4 dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6752300 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-126)\/(-496) - ((-35)\/20 - -2). Let u be (-27)\/(-30) + (-4)\/(-40). Which is smaller: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2376 and 30888?\nAnswer: 30888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 - 2*t**2 + 2*t**2 - 8*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*q + 5*v - 260 = -100*q, -q - v + 43 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170) - (1*sqrt(170) + sqrt(170)))*-6)\/(-2*sqrt(1000)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10, -98, -264, -502, -806?\n\"Answer: w**3 - 45*w**2 + 40*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9395 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-12)\/(a**(3\/10)\/a) assuming a is positive.\nAnswer: a**(-113\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -69519 divided by 250\nAnswer: -69519\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2632505, -43, -2.\nAnswer: -2632505, -43, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 y when two letters picked without replacement from dxuayuayayaxayay.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -38.3. Let j = n + -2.3. Which is the third biggest value? (a) j (b) 0 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -14*m - 36. Let s(g) = -55*g - 156. Calculate 26*f(c) - 6*s(c).\nAnswer: -34*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16154)\/34 - 4\/(-34). Let n = -23 - z. What are the prime factors of n?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*z + 850 = 0, 2*l - 4*l - z = -353. Suppose 4*r - 5*x - 301 = 0, 3*x - l = -2*r - 29. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 + -2 + (-2 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34104 and 109074.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1*-1 - (8 + 0 + -17) and 134.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-10))\/((-72)\/(-240))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 1) + 41 + -35 + -43\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -940*q - 3622. Is d(-6) a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6255977 is divided by 2085315.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 6. Let f(g) = 2*g - 18. Let t(v) = -3*f(v) - 8*i(v). Let q be t(-4). What are the prime factors of 2\/q*(-7)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**2\/2 + 10417504*c = 0?\nAnswer: -20835008, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (91 + -85 - (13 + -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 297536c (base 13) to base 11\nAnswer: 750048a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 - 20*w**2 - 3*w - 26. What is i(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n - n + 3*n)*(1 + 4 + 0)*(-59 - 15 + 30) + (-2*n + 1 - 1)*(-5 + 7 + 2) as p*n + a and give p.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/6*4*9\/(-90)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 16*k**2 + 7*k - 108. What is m(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 740 and 109.\nAnswer: 80660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - 88. Let b(q) = -2*q**2 + 105. Let y(z) = 5*b(z) + 6*v(z). Determine y(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4282 * -0.4\nAnswer: -1712.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 98*c**2 + 8*c - 10. Suppose 9 = y - 0*y. Let z be i(y). Round z to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbj when three letters picked without replacement from {j: 1, k: 1, t: 1, q: 2, b: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3 - 2*a**2 - a**3 - 6*a - 6*a**2 - a. Let c be y(-7). Suppose -g - c*g + 4 = 0. Is g less than or equal to 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-18)*90\/(-12)*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3\/7, 660.\nAnswer: -3\/7, 1, 660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2580, -5178, -7788, -10416, -13068, -15750?\nAnswer: -18468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*c - 6072 = -272*c - 4*b, -5*c + 2*b = -7590. Calculate the smallest common multiple of c and 1794.\nAnswer: 19734","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3 - 1, -3*y - 110 = 4*p. Let l = p - -28. What is the remainder when l is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74.5 + 519.5. Let n = 446.97 - w. Let f = 0.03 + n. Sort -2\/3, f, -4 in increasing order.\nAnswer: -4, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1359215 is divided by 43840?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, -3, 0, -5.\nAnswer: -16, -5, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**1)**(1\/2)*((b*b**(-12))\/b)\/b*b**(-11))**(1\/7))**(-39) assuming b is positive.\nAnswer: b**(1833\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 2\/21 (b) 1 (c) -2\/13 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*(42\/18)\/((-3)\/9) + 35129.\nAnswer: 2, 17, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**6*q*q)\/(q\/(q*q**(-1\/3)*q)))**(4\/23)*(q**(-1\/4)\/q**2)\/(q**(-4)\/q*q**0) assuming q is positive.\nAnswer: q**(695\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gghggggqgssggqsh. What is prob of sequence gq?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1055*t - 988*t + 3093*t - 919*t + 94)*(2*t + 3*t - 3*t).\nAnswer: 262*t**2 + 188*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 14) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52*q**2 + 366*q**2 - 397*q**3 + 397*q**3 + q**5 + 46*q**4 wrt q.\nAnswer: 60*q**2 + 1104*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 6*w**2 + 3*w - 1. Let k be b(3). Let n = -25 + k. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3426*i = 8491*i + 204752 - 539042 for i.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2152 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u\/u**(-7))*u**(2\/3))**5)**(-48))**35 assuming u is positive.\nAnswer: u**44800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9448, -8374, -0.2, -2 in ascending order.\nAnswer: -8374, -2, -0.2, 9448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 16*j + 9. Let c be g(7). Suppose -12*i + 11*i + 33 = 0. Suppose 4*y - 2*m = c, 4*m - 8 = y - i. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 + -10 - 146\/12. Let i = u - -161\/12. Which is the closest to -1? (a) 0.2 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ptpppppt.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11207408 and 976.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77065 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9992 or -5?\nAnswer: -9992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 47, 372, -3, 8, 1 in descending order.\nAnswer: 372, 47, 8, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, r: 4, h: 7}. Give prob of picking 2 h and 1 j.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 64, 76, 92?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5\/2 - 35*z**4\/2 - 429*z**3\/2 - 2057*z**2\/2 - 1331*z.\nAnswer: -z*(z + 2)*(z + 11)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + -1 - ((-1 - 2) + -1)) + -14 + -6?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0055510632 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 5. Determine h(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 735*k**2. Let m(z) = 170144*z**2. What is m(q(x))?\nAnswer: 91916042400*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2178783134 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from cfcyccsfsyy.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - 35. Let g(j) = j**3 - 8*j**2 + 8*j - 5. Give g(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 + 65. What is the third biggest value in -0.1, 0, i, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12598?\nAnswer: 2, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 44*d**2 + 69*d - 5. Let f(j) = -45*j**2 - 68*j + 4. Let q(i) = 5*f(i) + 4*z(i). What is the second derivative of q(y) wrt y?\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8091, 8087, 8081, 8073?\n\"Answer: -i**2 - i + 8093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 783 divide 580108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (31\/((-93)\/2))\/((-2)\/24). Suppose m + 104 = 7*l. Solve -7*g + 11 = -y - 3*g, 0 = -y - 5*g + l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - 4*s + 4*s + (-4*s + 8*s - s)*(8 - 3 + 4).\nAnswer: 29*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -65, -235, -513, -893, -1369, -1935, -2585, -3313?\n\"Answer: b**3 - 60*b**2 + 3*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.77 - -1.9. Let b = -0.07 - t. Is b <= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1394, 2537, 3680, 4823?\n\"Answer: 1143*s + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28448.462816 - -27905.4637. Let m = -543 - u. Round m to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12218.01 - -12268. Let o = 18.33 - a. Let m = o - -30. Round m to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33190947 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 68780\/(-11025) + -2 + 2. Let f = 4\/245 + z. Let h = -348\/17 - -33\/34. Find the common denominator of h and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21, -16, 1, 36, 95, 184, 309?\n\"Answer: u**3 - 2*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36792415?\nAnswer: 5, 11, 307, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = g + 3. Let i = g - 10. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 129 - 89. Let w = -84 + z. Let r = 67 + w. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15699 = 2*b - 5*w, -5*b + 5*w + 2880 = 42150. Let f be ((-8551)\/(-4))\/(12\/336). Let j = f + b. Round j to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, x: 3, i: 2}. What is prob of picking 2 q and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 13*i - 8. Let v be l(-12). Let x = v + 1. Determine c so that 2*c**3 + c**x + 2*c**5 + 2*c**2 - c**5 - 2*c**4 - 4*c**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(204)*6 + sqrt(204) + -6*(sqrt(204) + -1*sqrt(204)))*3)\/(5*(sqrt(144)\/sqrt(48) + (sqrt(72) + sqrt(72)*2)\/sqrt(6))))**2.\nAnswer: 612\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 208683423*r**3 - 296332220*r**2 wrt r?\nAnswer: 1252100538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 9*g**2 - 22*g + 6. What is w(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w - 3. Let r be u(-6). Let d be 99\/r - 2\/(-7). Factor 0*z**2 - 1\/4*z + 1\/2*z**3 - 1\/4*z**d + 0 + 0*z**4.\nAnswer: -z*(z - 1)**2*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42322148 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 69907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w + 2. Let f be m(-1). Suppose r + f = 17. Solve -l + r = -2*n, -3*l + 20 - 2 = -3*n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1155 - -425. Let m = 735 + p. Solve 4*h + m*r = 0, 4*h = h + r + 19 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 232*g**4*h + 230*g**3*h**2 + 2*g**2 - 3*g*h**2 - g*h + 751*g + 17*h**2 wrt g?\nAnswer: 2784*g**2*h + 1380*g*h**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhffffffhfgqgffq. Give prob of picking 2 q.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n**2 - 6*n - 8. Let y be (1 - (-2 - -2))*11. Let k(q) = -4*q**2 - 3*q - 4. Let i(u) = y*k(u) - 6*a(u). What is i(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14079451 or 14079409?\nAnswer: 14079409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12628*b**2 + 9*b - 12640*b**2 - 9*b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h + 16. Let g(x) = -x + 3. Let u(d) = -3*b(d) + 16*g(d). Let f = -2 + 4. Let o(a) = f*a - 2*a - 3*a. What is o(u(n))?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3.5 (b) -2 (c) -3 (d) 1\/4136\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (4 + -1 + -4 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 50302143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 680 and 612?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(s - s + 2*s + (-2 - 1 + 5)*(s + 5*s - 2*s) + (-s - s + 0*s)*(0 - 1 - 2)).\nAnswer: -32*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 6 = 3*p - 0*p, 4*p = 4*m + 8. Let g be ((-5)\/35*1)\/1. Let u be ((-28)\/3)\/4 + 3. What is the nearest to p in u, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-6)*(-2 - 4). Suppose 2*r + i - 15 = 0. What is the lowest common multiple of r and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 3:47 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 6:03 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 257421793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1555, 4769, 13493, 30481, 58487?\nAnswer: 100265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 88\/47, 2\/127, -5?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 108197.114 to the nearest one thousand.\nAnswer: 108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3254453*k**4*s**2 - k**4*s + 10175325*k*s**2 wrt k.\nAnswer: 39053436*k**2*s**2 - 12*k**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9360 = -4002869*l + 4003025*l for l.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 4*x - 4. Let r be p(-6). Suppose r = u + 5. Solve 0 = u*k - 2*k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivxxixxvxivgxvxei. What is prob of sequence xv?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -9 - 27. Find the third derivative of -492*w**b + 482*w**4 + 2*w - 5*w**2 - 2*w + 2*w**3 + 3 wrt w.\nAnswer: -240*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3 - 3. Find the common denominator of o - (-204)\/32 - -2 and 61\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -10*t**2 + 257*t + 31314. Determine v(70).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y + 2. Let d(l) = 14*l - 11. Determine -2*d(v) - 11*n(v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838235937?\nAnswer: 3, 7, 11, 43, 84389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4*g + 80, 0 = 3*o + g - 112 + 20. Suppose -o - 56 = -4*b. Calculate the greatest common divisor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024765 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 153381886 is divided by 792?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 25*11\/(-5)*(-10)\/25\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 2 + (1 - 1 + 1)*(3 + 1 - 2) + 44 + 146 + 18)*(-7*k + k + 0*k - k) to a + d*k and give d.\nAnswer: -1491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u + 100 = 0. Suppose 4*j + 3 = -97. Let b = u + j. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 25*o**7\/7 - o**6\/3 - 17*o**4\/4 + 4*o**3\/3 - 165*o**2\/2 + 6*o - 3416. What is the third derivative of f(i) wrt i?\nAnswer: 3000*i**3 - 120*i**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-36))\/(28\/70).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g + 64*g - 22*g - 12*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide ((-25)\/(-2))\/((-4)\/(-40))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3058727 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**2\/2 + 4. Let p(o) = 12*o**2. What is x(p(z))?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**2 + 0*z**2 + 2*z**2)*(-96 + 96 - 15*z) - 3*z**3 + 0*z**3 + 2*z**3 + 4*z**3 - 3*z**3 + 2*z**3.\nAnswer: 62*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(3*j + j - 3*j)*(-15 + 15 + 8*j)*(-5 + 4 + 0)*(-1 + 5 - 3)*(-2*j**2 + 3*j**2 - 2*j**2).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 24*f**2 + 27*f - 45. Let w be q(25). Solve -3*j = 3*t - 8*t + 14, w*t + j = 22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 15 = 2*l - 2*v, 0 = -l - 2*v + 25. Let m = -79 + 71. Let r be 6*((-28)\/m - 1). What is the highest common divisor of r and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3953.1 + -3936.863. Round b to 1 dp.\nAnswer: 16.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) -4 (c) -394 (d) -3 (e) -1.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 741, 790, 839, 888, 937?\n\"Answer: 49*t + 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 28*x**2 - 26*x.\nAnswer: -2*x*(x - 13)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/42 + ((-85)\/35)\/(-17). Which is smaller: -14.8 or u?\nAnswer: -14.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23989069?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghhahhgaghwghgk. What is prob of sequence gw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 30 = -2*r. Let v = -6 + 10. Suppose 0*p = -o + 2*p + 13, -40 = -4*o + v*p. Calculate the least common multiple of r and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1432 - 1432 = 10*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-165)*(-16500)\/(-2700)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + 1 + (1 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 63*k**2 - 275*k + 9399. Give x(59).\nAnswer: 7098","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 1968*r**2 - 202628*r - 324. Give u(109).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -699116 (base 11) in base 12?\nAnswer: -456580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*c = -41, 7*g - 5*c + 17 = 10*g. Solve 6*d = g*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(((-13)\/39)\/((8\/(-3))\/(-4))).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -551, -860, -685, 220, 2101, 5204, 9775, 16060?\n\"Answer: 41*f**3 - 4*f**2 - 584*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4944 - 3*x - 4944.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4 = -r - 5*g, -5*r - 10 = g. Let f be 4\/4*(-3)\/(-2). Which is the nearest to r? (a) -0.4 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 957?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 20. Determine w(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 732 divided by -4\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from khhhdooh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 8*n**2 - 8*n - 5. Let s be c(-7). Suppose -s*r + 77 = -9*r. Let g = 133 + r. List the prime factors of g.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37170, -74402, -111634, -148866, -186098?\n\"Answer: -37232*i + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 74*o + 18*o**2 - 762*o - 13*o**2 - 1437*o.\nAnswer: 5*o*(o - 425)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -7*t**3 - 12*t**2 - 17*t + 5. Let g(s) = -4*s**3 - 6*s**2 - 9*s + 3. Let q(a) = -5*g(a) + 3*w(a). Give q(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/12*1\/2*8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2) - ((-9)\/(-2) + -5). Calculate the smallest common multiple of 84 and (-14 + 1 + -6)\/i + -1.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 639\/3 - (4 - 2)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*z**3 - 743*z**2 - 988*z + 505542545?\nAnswer: 12*z**2 - 1486*z - 988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -102*j + 107*j - 96, -5*j = -v - 94. Solve 13 = -3*f + j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.0865 (b) -1.1 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c - 7. Let g be r(7). Suppose g = x - 41. Suppose -x = -5*m + 47. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3891985*d**3 + 7783980*d**3 - 3891971*d**3.\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -2. Let k be (-38)\/(-9) - y\/18. Suppose 0 = 5*w + k - 44. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 3:44 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s - 710. Let t(j) = -j - 10. Calculate 22*k(v) - 2*t(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 38*m - 217. Suppose 57 = -2*z - 5*b, b = 2*z + 2*b + 61. Let g be r(z). Factor -1\/3*n**2 + g - 2\/3*n.\nAnswer: -n*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.55754 or 4?\nAnswer: -0.55754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014392559 rounded to 6 decimal places?\nAnswer: -0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35427 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 3:50 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 1. Let m(x) = 6 - 10*x**3 + 2*x - 16*x**2 - 3 + 13*x**2. Let d(s) = -6*l(s) + 2*m(s). Find the second derivative of d(c) wrt c.\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -8, -32, -76, -146?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-7 + -7 - -7)\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 44 = 5*r, -3*r - 27 = 15*b - 13*b for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*x + 10. Let k = -6 - -2. Sort x, k, 1\/4.\nAnswer: k, 1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*z, -4*d + 3*z = -z + 24. Let q be -12*(-2)\/((-16)\/(-4)). Let i be 4\/q - (-16)\/(-6). Is d < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((17\/7)\/((-321)\/749))\/((-8)\/24)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnbnb.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(32\/(-12) - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + (sqrt(242) - (sqrt(242) + -3 + sqrt(242)))*-2 + (sqrt(242) - (sqrt(242) - (sqrt(242) + 1 + sqrt(242) + -3))) + (1 + -1*sqrt(242))**2).\nAnswer: -702 - 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*y - 2*y. Let q be (y - 0) + 3 + 9. Let j = q + -5. Sort 5, j, 6.\nAnswer: j, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -14. Let g(u) = u**3 - u + 1. Let w(y) = -3*y**3 + 2*y**2 + y - 3. Let k(j) = l*w(j) + 4*g(j). Let n be (-1)\/3*(2 - 8). Calculate k(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 71 = 407*c - 411*c, -3*d - 25 - 42 = -5*c + 18 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (7 + -6 + 3 - 20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 2*x**2 + 98 - 98. Let c be y(2). Suppose 0 = -2*z - c + 118. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -3*w - 2, 1373*w + 14*h + 38 = 1368*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -27, -96, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k**2 + 3*k + 1306. Is t(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5f (base 16) in base 10?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15148824*p - 20455809 with respect to p.\nAnswer: 15148824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1445343 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v - 3. Let w be a(5). Let o be w\/(-3)*(0 - 25). Suppose -110 = -p + o. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: aa3 (base 14) to base 11\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/4 of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 139282669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1015*h = -1000*h + 60 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1649 = -1093*l + 996*l for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g - 5*g - 14*g - 9*g + 24*g.\nAnswer: -17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -405 - 0?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 5:15 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 8*d**2 - 21*d - 16. Give w(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -252 or -218?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 0 + ((-10)\/(-3) - 656\/492). Let m(j) be the second derivative of -5\/72*j**v + 0*j**2 + 5\/18*j**3 - 20*j + 0. Factor m(a).\nAnswer: -5*a*(a - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-2)*p*p*(p*p**(4\/3)\/p*p)\/p assuming p is positive.\nAnswer: p**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 114093667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107 + -138.9. Let n = s + 27. Let w = n - -5. Is 0 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-1)\/1)*(-970)\/20. Let d = m + 680\/7. Does -1\/10 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 - 1.88. Let x = -4.6 - -5. What is the nearest to 2\/5 in x, 5, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*a - 120 = 0, -3*w + a = -100 + 10. Calculate the highest common factor of 186 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.26306 rounded to 2 dps?\nAnswer: -20.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 8 + 5 + 3*a - 12.\nAnswer: 3*a - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -2 (c) 6\/25 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11793016?\nAnswer: 2, 1474127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212323 (base 6) to base 3.\nAnswer: -10020212120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 757 + -753. Let f = 4 + -3. Which is the third biggest value? (a) 0 (b) f (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12597 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 253730 + 150?\nAnswer: 253880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/(-56))\/(5\/(-20)). Let p(o) = 7*o**3 - 6*o**2 - 6*o - 5. Let t(x) = -x**3 + x**2 + x + 1. Let u be 9*(8\/6)\/(-2). Determine a*p(q) + u*t(q).\nAnswer: -q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/27*1\/(-14)*-1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 + 3*p**2 - 3*p + 2. Let n be j(2). What is the greatest common factor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2988.2951 + -0.7049. Let m = o + 2986.023. Let j = m + -0.023. Which is the nearest to -0.1? (a) j (b) -1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 8:16 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 46. Let o = z + -42. Let x be o\/(-10) - (-1 - -3). Put 2, x, -2 in ascending order.\nAnswer: -2, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-38)\/(-5) - 6\/(-15). Suppose 2*t = -3*d - 26, -b = 3*d + 5*t + 30. What are the prime factors of ((-20)\/d)\/((-14)\/(-63))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g - 10. Let p be n(-10). Let b be p\/(-16)*52\/(-117). Put -2, 1\/2, b in decreasing order.\nAnswer: 1\/2, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s + 9. Let j be u(6). Let n be 4\/6 + (-13)\/j. Suppose a + n*c = -7, 0*a = 3*a + 4*c - 1. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 + -12 + (-15 - -38) + 5 - (-2 + 9)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/14, 2\/9, 0, -10, 0.05 in increasing order.\nAnswer: -10, -1\/14, 0, 0.05, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109 - -109. Suppose -5*y = o, 6*y = 3*k + 5*y. What is h in -1\/2*h - 1\/2*h**2 + k = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**3 - 2. Let g = -32 + 30. Let o(d) = -135*d**3 + 55. Give g*o(m) - 55*p(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -21) + -16 + 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 56 - 15 - 7*g + g**3 to o*g**2 + q + w*g + m*g**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h**2 + 2 - 4*h**2 - 4*h**2 + 8*h**2 - h. Let r be y(1). What is the highest common factor of r and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4*(-7 + 336 + -1). Suppose i = -2*i + 6. Let h(d) = -8*d**i + s*d - 164*d. Let o(b) = b**2. Calculate h(o(p)).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*r + 5*i + 90 = 55*r, 98 = 5*r - i for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/125*(99\/(-18) + 8).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 975 and 4525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 14, -3, -6 in descending order.\nAnswer: 14, 5, 4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104887\/29502 + 1\/3278. Is 4 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 4:10 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccrrrccrccc. Give prob of picking 1 c and 3 r.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14179 + -14177. Let b(s) be the second derivative of 9\/10*s**5 + 0*s**3 - 1\/2*s**g - 13*s + 0*s**4 + 0. What is the derivative of b(c) wrt c?\nAnswer: 54*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**2\/7 - 36519176*m\/7 + 166706276964872\/7 = 0.\nAnswer: 9129794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 1) + (-6)\/(-8). Let b(u) = -u**2 - 6*u + 7. Let h be b(-7). Suppose 0 = 3*l - 0*l - y, 4*y = h. Which is bigger: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Let t(j) = j + 6. Let v be t(-2). Sort v, p, -1 in ascending order.\nAnswer: -1, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 + 3*i**3 + 2*i**3 + 2*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287, -298, -323, -368, -439?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*u - 91*u - 87*u - 84*u - 91*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3 = -5*l. Let p(b) = b**2 - b - 1. Let n(w) = -4*w**2 + 5*w + 2. Let g = 57 - 54. Determine g*p(c) + l*n(c).\nAnswer: -c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26640 divided by 5328.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -1\/4, 456, -0.18, -0.3?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 + 3*u**4 + 0*u**4)*(-2 + 2 - 2*u) + 3*u**5 - u**5 + 5*u**5.\nAnswer: 3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(637) + (-5 + sqrt(13) + 2 - sqrt(13)) + -3)**2.\nAnswer: 420*sqrt(13) + 15961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2 - 34 = -3*z, 2*z - 1 = 5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 4:51 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -11645 + 11645 + u. Let f(j) = 0 - j**2 + 0. Give f(a(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26, 3, 52, 121, 210?\n\"Answer: 10*v**2 - v - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2291\/2 - -1177. Let u = -5273 - -14903\/3. Let z = u + 310. What is the common denominator of n and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 12 + -9 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 11:09 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 17*i**2 + 13*i - 8. Let a(n) = -80*n**2 - 64*n + 39. Let m(c) = -3*a(c) - 14*l(c). Give m(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 41. Let d be 24\/k + 16\/2. Suppose t = 2*t + i + 8, 0 = -3*t + 5*i + 8. Put d, t, 0.1 in decreasing order.\nAnswer: d, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.869, 476, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -286668, -286669, -286670, -286671, -286672, -286673?\n\"Answer: -m - 286667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*3\/42*35?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 - 57. Suppose -2244 = -z*w - 3*v, -28*w + 25*w + 2*v = -1683. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465 = -89*h + 425. Let b = 6 - -211. Calculate the remainder when b is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 3105?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41767948, -41767952, -41767958, -41767966, -41767976, -41767988?\nAnswer: -41768002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.0174.\nAnswer: 0.00348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-282)\/(-47)*(-32)\/(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/565 and 47\/4.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 798 - 783. Solve m + 0 = 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l - 20*h = 38*l - 56*h + 114, -4*l = -3*h + 103 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 306.19, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142734975?\nAnswer: 3, 5, 17, 111949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2186, 2511, 3400, 5135, 7998, 12271, 18236?\n\"Answer: 47*i**3 - 4*i + 2143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -251 + 253. Let i(a) = 2*a**2 - 3. Let z(b) = b**2 - 2. Let x(k) = k - 1. Let u be x(-2). What is u*z(w) + v*i(w)?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15 - -56)\/((-2)\/2). Let x = 72 + b. What is the remainder when 91 is divided by x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 10. Let l be d(-6). Let r = 2.35 + 2.65. What is the closest to -0.1 in l, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2239\/89560*15\/(-2).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 368.1046 hours?\nAnswer: 1325176560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**4 + 700796*h**3 + 40867686468*h**2 + 789847779991348*h - 200027140964587000 = 0.\nAnswer: -58483, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -2\/103, -36905, 0.1 in decreasing order.\nAnswer: 0.1, -2\/103, -0.7, -36905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22310, -22482, -22778, -23204, -23766, -24470, -25322?\n\"Answer: -v**3 - 56*v**2 + 3*v - 22256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*o**3 - 600931*o**2 - 6663532.\nAnswer: 42*o**2 - 1201862*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -700 times -3.4\nAnswer: 2380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**2 + 5*x**2 - 2*x**2 - 4*x**2 + 4*x**2 - x**2 + (0 + 1 + 0)*(-2*x**2 + 2*x - 2*x) + (-54*x + 36*x - 66*x)*(4*x + 0*x - 5*x).\nAnswer: 89*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 c when three letters picked without replacement from {r: 4, a: 3, c: 3, x: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, h: 7, v: 1, t: 6}. What is prob of picking 1 t and 1 v?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five halves of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 43\/2 of a meter?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2263 divided by 1.\nAnswer: 2263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*u**2 + 23*u - 1 + 14*u**2 - 32156*u**3 + 32154*u**3 + 2*u**4 to the form b*u**4 + m*u + l*u**2 + y + p*u**3 and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a factor of 4839773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128*f**4 + 7*f**3 - 1107*f.\nAnswer: 1536*f**2 + 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 + 53. Let b = -61 - -323. Find the second derivative of b*k**2 - 2*k**f + 21*k - 262*k**2 wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.07378 micrograms to nanograms.\nAnswer: 81073.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/4 - 31*j**3\/2 - 1077*j**2\/4 - 899*j - 841.\nAnswer: -(j + 2)**2*(j + 29)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 2 - 2) + -8 + 92 + -60?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85501?\nAnswer: 13, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -109 + 67. Solve j = 5*r - i - 21, 3*r - 28 = 4*i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 times 1114?\nAnswer: -112514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - i + 2*i - 5 + 8 + 0*i**2. What is m(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22, 44, 66, 88, 110, 132?\n\"Answer: 22*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Let a(i) = -105*i - 5. Let c(w) = w**2 - 7*w + 4. Suppose -2*n = -31 + 19. Let f be c(n). What is the units digit of a(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o + 2*o - 2*o - 54*o + 44*o - 45*o + (1 - 2 + 3)*(-2*o + 0*o + o) - 2*o - 2*o + 5*o in the form a*o + c and give a.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 18. Let s be g(22). Is -1*1 - (7 + -162)*s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, n: 3, j: 8, d: 1, q: 1}. What is prob of sequence qd?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -17943 divided by -11\nAnswer: 17943\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63411 and 2139.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 296975089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/5)*g)**8)**30 assuming g is positive.\nAnswer: g**192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 114464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -56\/3 (c) 3802\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1*1*(-93)\/(-12) and (-3)\/9*(-2 - 190\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637 is divided by 138\/7 - (-36)\/126?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*m - 67*m**4 + 3*m - 131*m**4 + 4*m - 7 - 6*m wrt m.\nAnswer: -2376*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88645*v = 88761*v + 3596 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*a**4\/3 + 544*a**3\/3 + 854*a**2\/3 - 540*a - 150 = 0. Calculate a.\nAnswer: -15, -3, -1\/4, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 + 526*r**2 - 175*r - 226806. Calculate p(261).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26322 is divided by 1061?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 29 = -13. Let g = 0 + r. Suppose 0 = -5*k + g*p - 2*p + 182, 12 = 3*p. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 = 202*v - 769. Let l = 1 - -2. Solve -17 = -m + l*z - 5, 0 = v*m + 3*z + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.30333 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 8:13 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2896\/5 - 20284\/35. Let a be -1 - (-54 - -19)\/((-1)\/(-2)). Let p = -68 + a. Which is smaller: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**5 + 252*z**4 + 4948*z**3 + 34212*z**2 + 50344*z - 89760 = 0. Calculate z.\nAnswer: -33, -17, -10, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1890\/(-154))\/3 - (-4)\/44.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-10)\/70*2\/(-3). Factor -8\/7 + 0*q + d*q**2.\nAnswer: 2*(q - 2)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + o - 2*o)*(5*o - 6*o - 2*o) + 3*o - o**2 - 3*o.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 + 2*p**4 + 4243205*p**2 - 4243207*p**2 + 4*p**4 + 1 - 4*p in the form a + v*p**2 + u*p**4 + r*p + b*p**3 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11555, 46306, 104223, 185306, 289555, 416970?\nAnswer: 567551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63755691?\nAnswer: 3, 21251897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 38, -1\/5, 0.2 in descending order.\nAnswer: 38, 4, 0.2, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17937082 a multiple of 837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 291\/2 - 145. Let d(t) be the first derivative of 4 - j*t**2 + 0*t + 1\/3*t**3. Give d(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772535 is divided by 386262?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*s + 16*s**2 + 7*s**4 + 54*s - 17*s**2 + s**4 wrt s.\nAnswer: 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 10*d**2 - 3*d - 9. Let g be f(-10). Is 20 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 8*j**2 + 4*j + 4. Give i(7).\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.947 - -1.947. Sort 2, 1, j, -13 in ascending order.\nAnswer: -13, j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y + 122 + 32 = 0. Let r = -56 - -105. Let u = r + y. What is the greatest common divisor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-831)\/(-93) + (15 - 13 - 11).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5780030.\nAnswer: 2, 5, 137, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*x - 27 = 0, 5*c - 19 = 4*x - 6. What is the third derivative of 0*u**2 - u**5 + u**2 + 0*u**c wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 0*y**2 + 1\/3*y**3 - 5*y + 0 + 1\/12*y**4. Determine i, given that v(i) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-25))\/((-2)\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v\/v**(-6)*v*v**(1\/4)*(v\/(v*(v\/(v\/(v\/v**(1\/3)*v)))\/v))**(16\/7)*(v**0*v)**38\/(((v\/(v*v*v\/(v\/v**(1\/3))*v*v*v))\/v)\/v**(-4)) assuming v is positive.\nAnswer: v**(4037\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 340*i - 6739 + 6739 to g + o*i and give o.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*1*1 + sqrt(114) + 5*(2*sqrt(114) - sqrt(114)))\/((sqrt(864) - (sqrt(864) - (sqrt(864)*1 + sqrt(864))))*-3 + sqrt(864) - sqrt(864)).\nAnswer: -7*sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 - 279*h - 846.\nAnswer: (h - 282)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/433 (b) -1 (c) 1742 (d) -1\/8 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*n = -5, 4*v + n - 4 = 3. Suppose v*i = 3*i. Suppose -5*s + 122 + 103 = i. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -366 + 376. Let s be 1 + (-1 - -3) + -1. Suppose 2*j + s*j - 8 = 0. Solve -3*g + j + w = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*3\/(-1)*(-79344)\/(-109098).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b0 (base 15) to base 3.\nAnswer: 211210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**3 - 5166*h**2 + 26013*h + 186516 = 0 for h.\nAnswer: -1727, -4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6480a - -4?\nAnswer: 6480e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.605744 less than 5313?\nAnswer: 5312.394256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8179 + -14492. Let n = j - -10578. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of (19 + -22)*(-172)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.809 - -1.009. Which is smaller: v or -11\/8?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/28)\/(9\/6*36\/(-2))\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617156412?\nAnswer: 2, 3, 3169, 16229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-2) + (2 - 0). What is the remainder when 4 is divided by 36\/(-30)*(-5)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355307.\nAnswer: 355307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 117, 419, 1009, 1983, 3437?\nAnswer: 5467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -137 + 2. Let c = -135.00000182 - n. Round c to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000110100001011110 (base 2) to base 4\nAnswer: -1012201132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*d - m - 337, 269 = -4*d - 3*m. Let s = 133\/2 + d. Let u = -98\/3 - -33. Sort 0.2, s, u in ascending order.\nAnswer: s, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/11 - 46*q\/11 + 216\/11.\nAnswer: -2*(q - 4)*(q + 27)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15132323 (base 7) to base 8\nAnswer: -5365750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 207\/4, 1267, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1972 or 328?\nAnswer: 328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39990 divided by -7998.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 108\/29? (a) -44 (b) 5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, j: 7}. Give prob of picking 1 f and 1 j.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8892564 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 155\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*z**4 - 97*z**3 + 2*z - 320 wrt z?\nAnswer: -12*z**3 - 291*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-180)\/(-8))\/(-3))\/6. Let s = 13\/4 - 5\/2. Let h = 1\/4 - s. What is the second biggest value in z, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 231 and 144 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -55 + -3?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3))**(17\/2)\/(j\/(((j\/(j\/j**(-1)))\/j)\/j))**(1\/22) assuming j is positive.\nAnswer: j**(181\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 361659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04901 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 1342.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 + 398*y - 94. Let o(s) = s**2 + 265*s - 59. Give -5*g(j) + 8*o(j).\nAnswer: -2*j**2 + 130*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -13*h + 2. Let w be t(0). What is k in -9*k**3 - 51\/7*k**4 - 6\/7*k - 33\/7*k**w - 15\/7*k**5 + 0 = 0?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1209 - -2483\/2. Let u = r + -33. Which is the second smallest value? (a) -2 (b) -0.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*18*36\/1458\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -4. Let s be (2\/11 - (-598)\/(-506))*-3. Solve m*x = x - s*y + 2, -5*x + 12 = 4*y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 6:00 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0739216 - -0.074. What is t rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 0.23763?\nAnswer: 0.23763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 318908*u**3 + 149770*u.\nAnswer: 1913448*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 174. Let n = i - 156.5. Let m be ((-1)\/(-13))\/((-2)\/8). Which is the smallest value? (a) n (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/54)\/((-5)\/105)*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6169304333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmxmmmmmmmmx. What is prob of picking 1 x and 3 m?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23689 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 12:33 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 4, -4, 260, 1 in ascending order.\nAnswer: -4, 1, 4, 65, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-192)*-12)\/((-5)\/4)*-20.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300 + 130?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27.046449 + 27.04. What is a rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -620 - -619. Which is greater: s or 39\/97?\nAnswer: 39\/97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237467?\nAnswer: 237467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4945 and 15?\nAnswer: 74175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 98960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69087 is divided by 136.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 30, -55, -182, -357?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b**2 + 3*b - 3*b)*((4*b**2 - b**2 - b**2)*(-1 + 2*b + 1) - b**3 + b**3 - 2*b**3)*(-6 + 1 + 1).\nAnswer: -72*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, s: 6, u: 5, o: 1, e: 3}. Give prob of picking 1 s and 1 o.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 608828 = 31*s - 16*s. List the prime factors of s.\nAnswer: 2, 101, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - x = 260, -y + 12*x = 10*x - 43. Calculate the remainder when y is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 110. Let n be w(23). What is the greatest common factor of 38 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.02 from 559.\nAnswer: 559.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2117, 2264, 2663, 3440, 4721, 6632, 9299, 12848?\n\"Answer: 21*j**3 + 2096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*q = -0*q + 18, -5*n + 65 = -5*q. What is the remainder when 55 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = z - 2. Find n such that -4 + 12*n + n**z - 14*n + 5 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 3 + 0)*0. Suppose 1 = -b - v. Let u(y) = -2*y**3 + y**2 - y - 1. List the prime factors of u(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8130 and 17344?\nAnswer: 260160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 3.2, 0.21, 2, -2\/3, 10, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 3*w + 3. Suppose v + 4*y = -1, 2*y = 2*v + 2 + 10. What is h(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 21 = -h, -6*j + j - 4*h = -41. Let a be -1 - -1 - (-1)\/j. Suppose 4\/5*i**2 - 3\/5*i - a = 0. Calculate i.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -44. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - 108\/(-30))\/(6\/15))\/(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 - 38033 + 38000 + 6*f**2.\nAnswer: -2*f**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 376357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 + 0*l**3 + 0*l**3)*(-2 + 3 - 2 + 2 - 3 + 2 + (0 + 2 - 1)*(0 + 5 - 4) - 1 + 1 + 1 - 3 + 3 - 2 + 1 + 2 - 1 + 7 - 3 - 2 - 52 + 23 + 20).\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = 24*j - 25*j - 2*u, -2*j + 4*u + 564 = 0. Let h be j\/16 - ((-360)\/64)\/15. Solve -3*w + 9*w + h = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1220442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 8 - 51 - 1091*f**2 + 1090*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31466365 (base 8) in base 11?\nAnswer: 3875282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 9, -563?\nAnswer: -563","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97632, 182085, 266540, 350997?\nAnswer: 435456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 38246.7132?\nAnswer: -7649.34264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 605 and 3069?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + 22*a + 12. What is the lowest common multiple of 528 and s(7)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*o + 9052 = 0, -h - 6*o = -o - 3010. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307724*f + 14*f**3 - 29745*f**2 - 307723*f + 29745*f**2 + 7*f**3.\nAnswer: 21*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {z: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17586 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: What is 9 + (-7 - -14 - 22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*c - 2*c + 2*c + (-c + c - 2*c)*(5 - 2 - 2) - 23*c + 66 - 66 + 6*c - 3*c - c.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 7. Let q(j) = -j + 12. What is the lowest common multiple of 6 and q(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -334305 divided by -1615?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273290660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -16406*o + 49225. What is k(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8219\/9 or 913?\nAnswer: 8219\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f - 5*f**2 - 6*f + 2*f. Let d(z) = -16 + 5*z**2 - 5 + 21. Give d(h(q)).\nAnswer: 125*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*12\/((-1020)\/(-289)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**4 + 0*t**4 + t**4 + (2*t + 2*t - 2*t)*(2 - 2 - t**3) - 4*t**4 - 3*t**4 - 5*t**4 to v*t**3 + i*t + g + b*t**4 + a*t**2 and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-175)\/(-10))\/5*(-300)\/105\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**4\/9 - 397*t**3\/3 + 3519*t**2 - 31509*t + 94284 = 0.\nAnswer: 9, 1164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z - 3. Does 17 divide v(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1840 and 80.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 10 = 0, -b + 2*b + 11 = -2*a. Is -1 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 - 2*b**2 + 13 + 3 - 52*b + (-b + 0*b - b)*(b + b - b) - 2*b**2 + b**2 - b**2 + 2*b**2 + b**2 - b**2.\nAnswer: -4*b**2 - 52*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*u**2 + u**2 - 8*u**2 + 3 - 13*u**2 in the form s + k*u + m*u**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 9 + 0 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 + 116*c - 116. Let h(y) = -2*y**2 + 118*y - 119. Let i(k) = -3*g(k) + 2*h(k). Let i(n) = 0. What is n?\nAnswer: 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11703 (base 9) to base 12\nAnswer: 4670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 5, -202, 1503 in decreasing order.\nAnswer: 1503, 5, 0, -3, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/910777 and 45\/713.\nAnswer: 28234087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 0*i + 2*i + 17 = 0, 42 = -6*u - 4*i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5604.24 - 5604. Which is the closest to -1? (a) -4 (b) 0.4 (c) q (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k*k**(-5)*k*k)\/k*k*k**0*k*k\/k**(2\/5)*k*k**(-1\/8)\/k*k*(((k\/(k**(-1\/3)\/k))\/k)\/(k*k\/(k**(-2\/7)*k)))\/(k**(-1))**(-44) assuming k is positive.\nAnswer: k**(-35681\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10497 + 10497 - 6*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -14, -2.4, 13, 82.9, 0.4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6218 + 6298. Calculate the highest common divisor of h and 75.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/10)\/(2\/92). Let y = -18 + c. Solve y*o - 7 = 3*j, 2*j - 3*j - 1 = -3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, 4 in decreasing order.\nAnswer: 4, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j - 2*u = -68, 5*j = 4*u + 179. Suppose 2*y - y - 2 = 0. Suppose -2*m - 3*g + j = y*g, -4*g + 10 = -2*m. Solve a + m = -0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 21, -166, 229, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -2\/3*p**4 + 21\/2*p**2 + 0 + 32*p + 11\/6*p**3 - 1\/20*p**5. Let a be g(-9). Solve 0 = 5*c - a*c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1905 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.374799l to millilitres.\nAnswer: 374.799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*k**3*n**5 + 61*k**3*n**4 + 8*k**3*n**2 + 2*k**3*n + 20*k**3 + 40*k*n**2 wrt n?\nAnswer: 600*k**3*n**2 + 1464*k**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**2 + 6*b**4 - 2*b**3 + 2 - 157*b - b**4 + 80*b + 76*b + b**4 to the form c + r*b**4 + g*b**3 + j*b + k*b**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 535.54 less than -164?\nAnswer: -699.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1407*m**3 - 1732*m**2 + 5086166 wrt m?\nAnswer: -4221*m**2 - 3464*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 376546 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/(f\/((f**(1\/4)*f)\/f)*f)*f)**14*f**(-7)*(f*f**(-3\/7)\/f*f)\/f)**(2\/25) assuming f is positive.\nAnswer: f**(337\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -58*a + 269. Let n(m) = 171*m - 806. Let d(x) = 6*n(x) + 17*p(x). List the prime factors of d(32).\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 9*y**5\/10 + 29*y**4\/12 - 2487*y**2\/2 - 4248*y. Differentiate i(w) with respect to w.\nAnswer: 54*w**2 + 58*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 587 (b) 3301 (c) -2\/3 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 180 = 8*b. Suppose -3*a + 4 + 8 = 0. Suppose -r = 0, 6*d - d + a*r = 95. What is the remainder when b is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125528 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 199143\nAnswer: 1\/22127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.088 (b) 0.5 (c) 4 (d) 5 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-11)*n*n\/n**(-7))\/(n**(-6)*((n**4*n)\/n)\/n))**(-13) assuming n is positive.\nAnswer: n**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/15*-5*-17. Let j(v) = 10*v**3 + 29*v**2 + 31*v. Let z(g) = -29*g**3 - 87*g**2 - 93*g - 1. Let t(i) = d*j(i) - 6*z(i). Factor t(w).\nAnswer: (w + 1)*(w + 6)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - sqrt(65)*3 - sqrt(65))*2)\/(sqrt(25)\/(sqrt(5)*3)) + -2*(-1*sqrt(208) - sqrt(208)) + (sqrt(104)\/(sqrt(72)\/(sqrt(36)\/sqrt(4))))**2.\nAnswer: -2*sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 221808347300 rounded to the nearest 1000000?\nAnswer: 221808000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 - 86. What is the nearest to s in 4, 0.06, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 73 = -51*v + 47*v, 0 = 10*v - 2*x + 180 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -4*i + 7*i, -3*i + 4*c - 5 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4 + 3420*z**3 - 103471*z**2 + 100050*z = 0. What is z?\nAnswer: -3450, 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6 - ((-8)\/92 - (-48880)\/1380).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9568 - -15415. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (3*sqrt(45) - sqrt(45))\/sqrt(9))*-3.\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7511 + 44947\/6. Find the common denominator of b and 47\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*w - 58*w + 243 - 11)*(2*w - 2*w + 2*w).\nAnswer: 6*w**2 + 464*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0 - 4 = 0. Sort -2, 0, -5, k in descending order.\nAnswer: k, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 9*m + 12. Suppose -19*o + 90 = -17*o. Let p = o + -36. What is the units digit of y(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33042525 divided by -11014175?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 63*k - 35. Let b(p) = -p**3 + 8*p**2 - 12*p - 35. Let i be b(6). Let o(n) = 1 + 4 - 1 - 7*n. Let x(s) = i*o(s) - 4*z(s). What is x(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -146449.\nAnswer: 4\/146449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**2\/7 - 208060*x\/7 - 624144\/7 = 0.\nAnswer: -52012, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 - 54. Suppose 2*s + d = c + 3*s, -4*c + 42 = -s. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1757322 divided by 585774?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.15 and 4308035608?\nAnswer: 4308035608.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*t - 5 = 0, -q - 4*t - 7 + 0 = 0. Solve -q*l - 9 = 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-45)\/58) + 23 + 9\/15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/49, 9\/2, 20?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 94916 and -40?\nAnswer: 94956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 414590, 414591, 414592?\nAnswer: 414593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201110 - 12?\nAnswer: 1201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/119 and 23\/85.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 79*b + 560. Let x be o(-7). Solve 78*r = 71*r - x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*a + 13 = 162*a for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 7:02 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 544\/11 and -1\/46 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 63809 in 5\/2, -0.1, 1, -3, -0.5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -30, -0.3, 1, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(66)*2 + sqrt(66))\/sqrt(864).\nAnswer: -11*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (-1 + sqrt(98) + 1))*-2 - (1*sqrt(6)*1)\/(sqrt(36)\/(sqrt(12)*2)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18 or -7531\/411?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83.8 - 84. Let f = -42 + 128\/3. Which is the closest to w? (a) f (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19775669*-2\nAnswer: 39551338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 7*i - 10. Let b be c(-2). Suppose -2*x + b*x + 1706 = -4*m, -4 = -m. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 0.077\nAnswer: -0.00154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 16*o - 8. Let s be j(0). Is 2\/s*-8*(-5557)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -162422\/5 + 32327. Let q = -158 - u. Suppose -f - f = 0. What is the smallest value in -0.2, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49.6 - 34.9. Let k = b - 18. Let l = 0.3 + k. Put 0, 0.06, l in ascending order.\nAnswer: l, 0, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 14*j**2 - 14*j + 12*j**2 + 32*j - 14*j in the form x*j + i + d*j**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -253 + 427. Suppose -23*o = -g - 240. Do o and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + o - o + (77*o - 165*o + 85*o + 319)*(5*o - o - 3*o)*(-1 + 1 - 2).\nAnswer: 8*o**2 - 638*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 (base 14) in base 3?\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 11*b + 1764 = 0. What is the smallest common multiple of 4 and b?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41340 + 1.\nAnswer: -41339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*f = -84*f + 1. Let s be (17 - 16)*(4\/(-22))\/f. Let j = -0.3 - -0.1. Which is the fourth biggest value? (a) j (b) 5 (c) 2\/7 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -9*s**3 - 287*s**2 + 23*s - 391. Calculate g(-32).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - q**2 + 1. Let i = -2 - -4. Let d be w(i). Determine z so that 2*z**4 + 4*z**2 - d*z**2 - z**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 4*x**2. Let o be k(-3). Let z(c) = c**2 - 8*c - 12. Let l be z(o). Let u be (-8)\/l - (-4)\/12. Solve 4*q + u + 5 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 771 - 771.1. What is the biggest value in 3\/8, 0.07, u?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36767 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*n + 178*n**3 - 2*n**2 + 7*n - 23*n**3 in the form z*n + c + d*n**2 + p*n**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**3 - 285684*w**2\/5 + 114272*w\/5 = 0.\nAnswer: 0, 2\/5, 28568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 21518706.797.\nAnswer: 21518701.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 1 + 0 + 3)*79. Let h = 133 - r. Suppose -h*b - 207 = -57*b. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -399*m**4 + 2*m - 145.\nAnswer: -4788*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**2 + 985*m + 1950 = 0 for m.\nAnswer: -195, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a kilometer in meters?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggg. Give prob of sequence gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10681396799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (-7)\/((-7)\/(-2)). Let l = 1.38 + 1.62. Sort u, -3, l, -0.3 in ascending order.\nAnswer: u, -3, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + p - 7 = 4, -3*p - 22 = 5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 495, 779, 1063, 1347, 1631?\nAnswer: 1915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 238574754 divided by 4418051?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -9. Suppose 2*c - 2 = q. Suppose a = c*u + 2*a + 14, -11 = -3*u + 4*a. Which is smaller: u or 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 8:02 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**3 + f**3 - 3*f**3 + (0*f + 4*f - 3*f)*(4*f + f**2 - 4*f) - 4*f**3 + 4*f**3 - 2*f**3 - 4*f**3 + 0*f**3 + 5*f**3)*(1 + 2*f - 1)*(-f - 3*f + 0*f).\nAnswer: -16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 6*v**2 + 5*v + 5. Let l be q(5). Let x = 0 + l. Suppose x*a = 1016 - 61. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1363 and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/8 and 174\/(-16)*(-14)\/133.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*j**2 + 904*a*j + 141477832*a - 11138*j**2 + 2*j with respect to j.\nAnswer: 4*a*j + 904*a - 22276*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 - 37*w + 7. Give g(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**3 + 2*v - 2*v - 294*v**3 + 86*v**3 + 110*v**3 + (-6*v + v + 3*v)*(2*v**2 - v**2 - 3*v**2) as a*v + x*v**3 + y*v**2 + l and give x.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*(u\/(u\/u**(4\/5)))\/u*u**(-2\/7)*(u*u\/(u*u**(-1)*u))**(-16\/3)*((u*u\/((u**2\/u)\/u))\/u)\/(u**0\/u)*u\/u**(-4)*u**(1\/5)\/u assuming u is positive.\nAnswer: u**(50\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8727212010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 178932565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 18 = 5*d, -r - 1122 = -1131. Factor d - 28\/15*p**2 + 2\/15*p**3 + 98\/15*p.\nAnswer: 2*p*(p - 7)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**3 - 8*x - 16 - x**3 - x**3 + 26 - 2*x**3 + 8*x**2. Give m(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 987*w + 381 - 981*w + 2*w**2 - w**2 as x + p*w + c*w**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.9 + 8047598388.\nAnswer: 8047598384.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1814494.2 and -364.\nAnswer: 1814130.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/751 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y**4\/4 + 22483*y**3\/4 - 89949*y**2\/4 - 22483*y\/4 + 22487 = 0. What is y?\nAnswer: -22487, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 4. Suppose 16 = y + 4*b + 5, b + 7 = o*y. Find the third derivative of -8*k + 8*k - y*k**4 + 3*k**2 wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003530831517 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-20)\/104)*7*(-7)\/98.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (12 - ((-10 + 27 - -6) + 1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 81*i**5 - 6*i**4 - 81*i**3 + 6*i**2 = 0?\nAnswer: -1, 0, 2\/27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 916 - 930. Let i(n) = -n**3 - 13*n**2 + 12*n - 23. Calculate i(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 10*c + 9. Let j be t(9). Calculate the highest common factor of j and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*7808275\nAnswer: -9369930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/(-9))\/5)\/(-1)*-6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 18*o**2 + o + 18. Suppose 693 = 18*g - 279. Suppose 3*r = 4*z - z - g, -18 = r + 5*z. Give u(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1053b8 (base 14) in base 10?\nAnswer: -552294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183853413.\nAnswer: 3, 20428157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6596 and 5992?\nAnswer: 9880808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -3*z + 15. What is the greatest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-3 + 2 - 1)*(1 - 3 - 1)*(-3 + 2 + 4)*(-140*b + 4 - 4).\nAnswer: -2520*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 18 = f, -72 = 3*f + f + p. Let y = f - -21. Suppose y*n - 68 = 7. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/28, -4, -5, 0.5, -3 in decreasing order.\nAnswer: 0.5, -1\/28, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -28*n - 164. Let y(x) = -x**3 + 6*x**2 + 23*x + 30. Let f be y(9). Let r be o(f). Solve -2*b - 8 = 0, -a = 2*b - r*b - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) -15 (c) -1\/11 (d) 3 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 945434011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 272 - 137. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1839 = -21*n + 51. Let b be 15\/(-2)*4*-2. Calculate the greatest common factor of b and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -8. Let j be (-3)\/(-2)*(4 - (-3406)\/3). Suppose -j = -9*p - 2105. What is the closest to p in l, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.35*-0.04\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13\/7 - -32\/21. Let k = 305 + -1527\/5. What is the closest to 2\/3 in x, -4, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -16*h - 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 20, -2*j - 3*j - 8 = -2*w. Suppose j = 2*r - 9 + 1. Solve -4*s + 2*o = 1 - 11, -4*s = -r*o - 16 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -4\/5 (b) -1\/2 (c) 5\/2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88410 is divided by 22045.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 26.55477km?\nAnswer: 2655477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4066 + 2424. Let d = -1623.46 - p. Round d to zero decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:47 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -5. What is the smallest common multiple of 7 and ((-14)\/3 + 1)*g?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11000 + 1?\nAnswer: -10444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*l - 14. Let u(p) = -p**3 + 6*p**2 + 3*p + 8. What are the prime factors of u(l)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -586.7 - -556.7. Which is greater: k or -160?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23480*l**3 - 7836*l**3 - 7825*l**3 - 7820*l**3 - 7.\nAnswer: -l**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*k**2 + 371*k**2 - 735*k**2 + k + 227*k**2.\nAnswer: 196*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 47412009 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 13*i + 42300000. Round i to the nearest one million.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 n, and 1 f when three letters picked without replacement from {s: 1, i: 2, h: 1, n: 1, f: 1, l: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**2 + 2*p - 3. Let g be x(1). Suppose 0*j = 3*j - 6. Suppose -2*l = 3*o - o + j, l + 5 = -g*o. Let d(q) = q**2 - 3. Calculate d(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 7, j: 4}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65809509.\nAnswer: 3, 23, 373, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1.04. Let k = -3.04 - h. Let u = -6 - k. Put u, 0, -0.5 in increasing order.\nAnswer: u, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5 + 1 + 5*k**2 + 2*k**2 - 6. Let x(g) be the first derivative of g**6\/360 + g**3 - 3. Let q(b) be the third derivative of x(b). Give q(n(r)).\nAnswer: 49*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8203365263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*u = -15 - 36, 4*x = 5*u + 45. Suppose -14*s + x*s = 45. What is the greatest common divisor of 30 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430076088 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.4 + -1. Let d = r - 0.6. Let b = d - 1. What is the third biggest value in 1\/4, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332462 (base 7) in base 3?\nAnswer: -2222022112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o*v**4 + 126*o + 20631*v**4 - 5*v**2 + 346*v wrt v.\nAnswer: -72*o*v + 495144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(9\/10)\/p*p)\/p)**(2\/63) assuming p is positive.\nAnswer: p**(-1\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 21*n**2 + 37*n + 4. Give l(-19).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 + -0.21. Let z = -1.06 + 1.254. Let u = z - 1.194. Which is the second smallest value? (a) r (b) u (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110 - -104. What is the second biggest value in v, 0.3, 1\/6, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1881499276 to the nearest integer?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 2. Let s be g(6). Let m(n) be the second derivative of -n**3\/6 - n**2\/2 - 29058*n. Calculate m(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/((-7644)\/104))\/(2\/138).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 85 = 5*q - 525, 4*p = 5*q - 585. Suppose x - q = -3*v, -2*x + 4*x - 203 = -5*v. What are the prime factors of v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*o + 2*v, 0*v - 8 = -3*o - v. Let z = o - 21. Let h = 7 - z. Solve -4*d - h = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 43 = -106. Suppose 4*c - 27 - 6 = -5*n, 4*c + b = 3*n. Solve s - c = 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 185 - 1141\/6. What is the common denominator of ((-12)\/(-64))\/((-6)\/52) and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 319 + -1596\/5. What is the second smallest value in 4, 50, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-17)\/(s*((s\/(s\/(s*(s\/s**20)\/s*s*s))*s)\/s)\/s) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d + 3*d - 11*d)*(25390 - 25923 - 2*d + 0*d) to n*d**2 + i + u*d and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/9*x + 4\/9 - 2\/9*x**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*u + 12, 12 = -2*q - 3*q + 3*u. Suppose q = p + p. Suppose p = 5*n - 25, -w - 2*n + 18 = n. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -464 or 1829?\nAnswer: -464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w - 9. Calculate f(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 25699 and 25707 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*c - 0, 4*b + c - 188 = 0. Let y = 893\/34 + -268\/17. What is the common denominator of y and ((-4)\/14)\/(b\/308)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 5*s**2 - s - 3. Let l be 10\/(-15) + (-13)\/3. Let u be t(l). What is the common denominator of 151\/18 and u + ((-41)\/14 - -2)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48332 is divided by 9665?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2607.\nAnswer: 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 0 - 3*y + 0*y**2 + 1\/80*y**5 + 0*y**4 - 1\/24*y**3. Suppose q(d) = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, h: 1, k: 2, z: 1}. Give prob of sequence zhk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 12, 2*n - 39 = h + 65. Suppose 2*k = -5*o - 0*k + 496, 3*o + 5*k - 309 = 0. Let y = o - n. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 12*w**2 + 197*w - 2725. What is v(15)?\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.152 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.7 + -4.7. What is the second biggest value in 1\/3, l, -1\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172733?\nAnswer: 11, 41, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*n + 23 = 66, -30 = -2*j - 2*n. Solve -19 = -6*d + j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -396 + 399. What is the closest to -0.01 in 5, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22885762 to the power of 1\/2, to the nearest integer?\nAnswer: 4784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4) + 70\/20. Suppose j - d*j = 0, 0 = -u + 3*j + 50. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*x = 58, 0 = -4*n + 8*n - 4*x - 56. What is the remainder when 26 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*q + 9516 - 1772 = 0 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdrnffffzf. Give prob of picking 1 r and 1 f.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 11) to base 4\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*g**3 - 2*g**3 + 5*g**3 - 9*g**3.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 164*k = 161*k - 2, -3*q + 4*k + 7 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2 = -5*o. Let j(p) = 2*p**3 - o*p - 6*p**3 - 1 + 4*p**2 - p**3 + 6*p**3. Determine j(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25917 - 26079 + 51996 - 2*k**3 - 8*k**3 + 4*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1252 is divided by 139.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000128249474 to seven decimal places.\nAnswer: -0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -211aa67 (base 11) in base 2?\nAnswer: -1110001111011110011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/9 - -4) + 96\/(-18). Sort -237, -1, c in ascending order.\nAnswer: -237, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -129*g**2 - 124*g**2 + 377*g**2 - 135*g**2. Let h(z) = -2*z - 34. Determine h(f(s)).\nAnswer: 22*s**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 7*r**2 - 7*r - 11. Let x be z(8). Let o = 8 + x. Suppose h = 5*m + o*h - 40, 2*h = 3*m - 46. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146 + -86. What is the remainder when i is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2)*(10 - 0). Suppose 5*g + l*h - 215 = 0, 4*h - 74 = -5*g + 137. Suppose -2*a = a - g. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.163 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -185 + 192. Suppose -f*x + w = -2*x - 953, 0 = -5*x - 4*w + 963. List the prime factors of x.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1628 - -1630. Put -4, k, -16, -2, -8 in decreasing order.\nAnswer: k, -2, -4, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*a**5*p**2 - 3*a**5*p + 19*a**2 - a*p**2 wrt a.\nAnswer: 1680*a**2*p**2 - 180*a**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a centimeter in micrometers?\nAnswer: 74000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 5*f**2 - 4*f + 2. Let d be w(4). Suppose -d*r - 6 = -5*r. Differentiate o**r - 1 - o + o with respect to o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -188 + 287. List the prime factors of l.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210c66 (base 13) to base 7.\nAnswer: -65412505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x + 66. Let c be o(9). Suppose c*k + 4 = -32. Let w(z) = z**2 + 2*z + 3. Give w(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 202*a - 27282. Determine h(135).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1452 is divided by 35?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 60*w - 410. Calculate y(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43254 (base 6) to base 15.\nAnswer: 1b5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 857381 is divided by 157.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(10\/8)\/((-930)\/372).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2560898 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 78*q. Let w(f) = -20*f - 10. Let n(j) = 47*j + 20. Let m(a) = 3*n(a) + 7*w(a). Calculate m(v(g)).\nAnswer: 78*g - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55*1 + 0 - (34 + -37)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/20 - -67\/180. Which is the second biggest value? (a) o (b) -1\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -158 + (-5 - -3) + (5 - (8 - 14)) + 13.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 795 = -u - 4*u. Is u\/2*8\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, b: 9, m: 1, q: 2, k: 3, a: 1}. Give prob of sequence bq.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3225968137.\nAnswer: 7, 89, 103, 50273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 873128252549 - 873128252549.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*t**2 - 25*t**2 + 218*t**2 + 159*t**2.\nAnswer: 382*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 + 1. Let b = -0.16 + 0.76. Let w = 0.3 - b. What is the closest to x in w, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/28)\/((-23)\/(-207))*(-2)\/3?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21577 (base 9) to base 4.\nAnswer: 3133312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 4*s**2 - s + 1. Let i be a(-3). Let v be i\/40 + (-34)\/(-16). Solve 0 = -2*t + t + v, g - 9 = -2*t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8547 and 14245.\nAnswer: 42735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-11\/3))\/t*(t*t\/t**(2\/5))\/t*t*t*t**(2\/19)*t*(t*t\/(t**2\/t*t))\/t)**2)**(25\/3) assuming t is positive.\nAnswer: t**(-2740\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4622 + -1?\nAnswer: 4621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1922 - 3888 + 1966 - 23641*a to h*a + d and give h.\nAnswer: -23641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/2 (b) -0.5 (c) -1\/7 (d) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161 and 621.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3464548 is divided by 1732187?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 0.3 (c) -179091\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1 + 1)**2 - (-1 + sqrt(5))*1.\nAnswer: -sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5194460 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/6))**33*z**(4\/3)*z\/(z*z**(11\/3)*z))**(1\/21) assuming z is positive.\nAnswer: z**(-53\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -120d + 5?\nAnswer: -1208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, i: 2, m: 12}. What is prob of picking 3 r and 1 i?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1260804 (base 10) in base 3?\nAnswer: -2101001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -378908*c + 104. Let h(j) = 15*j + 93. Let o be h(-7). Let u be v(o). What is u rounded to the nearest one hundred thousand?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 32727*r + 88 = 32729*r, 0*b - 2*b + 6 + 16 = 5*r for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-240*k**3 + 673*k**3 + 4489*k**2 - 4484*k**2)*((4 + 1 - 3)*(-k - 2*k + k) + 3*k + k - 2*k).\nAnswer: -866*k**4 - 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 2*k**2 - 4*k - 1. Let u be c(6). Let b(m) = m**3 - 5*m**2 + 53*m - 462. Let y be b(7). Calculate the highest common divisor of y and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z. Let u(w) = -10*w - 14. Let v(p) = -19*p - 29. Let y(x) = 7*u(x) - 3*v(x). Let k(j) = -7*j - 6. Let f(r) = -11*k(r) + 6*y(r). What is f(c(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13392 by -744.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**5\/10 - 123*q**4\/8 + 3841*q**3\/6 - 3477*q**2\/4 - 3721*q + 688. Factor a(x).\nAnswer: (x - 61)**2*(x - 2)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1063371*j = -1063230*j - 2961 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*a**4 - 11*a**3 + 5*a**2 + 8*a**3 + 3*a**3 wrt a?\nAnswer: -816*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.6247316*0.5.\nAnswer: -6.8123658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3 + 2\/3*b + 2\/3*b**2 - 2\/3*b**3.\nAnswer: -2*(b - 1)**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = a + 8, o + 3 = -12*a + 9*a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 4 = 4*b. Solve 0 = b*l - 5*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-186084 + 444*q + 186084)*(2*q**2 - 3*q**2 + 2*q**2).\nAnswer: 444*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 17*f**2 - 310*f - 5991. Calculate h(-18).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -12. Let o be (-1 - 2)*-1 - 1. Suppose -n*l = -5*l - o. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87 + 99. Let x(n) = n**3 - 9*n**2 - 10*n + 2. Let r be x(10). Solve -f + b = 3*y, 2*y - r*f = -0*f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 2.153, 3, -8\/9, -1\/4?\nAnswer: 2.153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39178, -2, 3, 5, -4, -571 in descending order.\nAnswer: 39178, 5, 3, -2, -4, -571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - d + 1. Determine y(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2))**(1\/73))**(-33) assuming v is positive.\nAnswer: v**(66\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2919.\nAnswer: 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*v**3 + v + 8*v**3 - 23*v**3 wrt v?\nAnswer: -36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11833 - -11833. Which is the fourth biggest value? (a) -66 (b) i (c) -2 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/17)*k)\/k)\/k**(-19) assuming k is positive.\nAnswer: k**(325\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1181495 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*v**3 + 4*v**2 - 2*v**3 + 24 - 24 wrt v.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-5*1\/(-235)). Let f = 187 - v. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1383, 5526, 12427, 22086?\nAnswer: 34503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(17)*3*3)**2 + sqrt(17))*-5.\nAnswer: -6889 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3041*b - 60*w = -57*w - 3047, 2*w = 5*b + 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1464*u + 27540 = -1459*u. Is u a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 * -113\nAnswer: 12769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*r**2*u**3 + 23*r**2*u**2 - 220*r*u + 18*r - 3*u**3 wrt r.\nAnswer: -76*u**3 + 46*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(931) - (1 + sqrt(931) + sqrt(931) + 1*sqrt(931) + sqrt(931) + sqrt(931)))**2.\nAnswer: 56*sqrt(19) + 14897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -x - 23. Let l = 43 - x. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 0, 11.43, -0.1, 23?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 + 0.89. Which is the nearest to 1? (a) 5 (b) v (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 188\/5. Let o(l) be the first derivative of -2 + t*l**3 - 8\/5*l + 1\/10*l**4 + 0*l**2. Factor o(j).\nAnswer: 2*(j - 1)*(j + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 10*b**2 + 3*b - 14. Determine g(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45*r**4 - 9*r**3 + 249*r + 4016099.\nAnswer: -180*r**3 - 27*r**2 + 249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27268185 is divided by 56?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 5 = 0, 153309*u - 153304*u - 206 = 4*q for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 456*q + 12214.\nAnswer: 2*(q + 31)*(q + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8971, 8969, 8967, 8965?\n\"Answer: -2*m + 8973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45361 + 20239. What is t rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**3 - w**2 + 1. Let a be (2 + -3)\/(0 + 1). Let o be j(a). Suppose m - 2*m = k - 28, 4*k + o*m - 117 = 0. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.52 * -0.2\nAnswer: -0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 85*d**5 - 301*d**5 - 288*d**5 + (-1 + 1 - 3)*(-d**5 + d**5 + 2*d**5).\nAnswer: -510*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7 and -2998830.35.\nAnswer: -2998837.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 361311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 509.79 - 514.79. Let s = -17 + 88. Which is the biggest value? (a) s (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6090\/(-35)*(3\/(-105)*-10)\/6\nAnswer: -58\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24610552 divided by -184?\nAnswer: -133753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/21 + (-2958625935)\/(-462). Let f = 6405612 - o. Let k = f + -1658. Calculate the common denominator of -65\/16 and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3828 is divided by 213?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03004327592 rounded to seven dps?\nAnswer: -0.0300433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 90 in -2\/41, -1\/201, -0.6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -776*2\nAnswer: -1552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 54019 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - -3.3. Let v = 4 - z. Let r = -1227 - -1226.92. Which is the smallest value? (a) v (b) r (c) 2\/9 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -11223.7147154.\nAnswer: -11229.7147154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35919 and 149409?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37518907?\nAnswer: 37518907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1991\/110 - 18)*-6\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -117384, -113706, -110028, -106350, -102672?\n\"Answer: 3678*c - 121062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3135, 3266, 3485, 3792, 4187?\n\"Answer: 44*s**2 - s + 3092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/4573800 and 119\/89100?\nAnswer: 13721400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/4)\/(62\/4712) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 2\/3, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 9*u + 8 = 8*u, 2*l + 3*u = 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37.6? (a) -8 (b) 2\/7 (c) -1 (d) 16.8 (e) -0.3 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 t when four letters picked without replacement from {s: 1, t: 3, m: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -20, -1\/6, 4\/17 in ascending order.\nAnswer: -20, -1\/6, 4\/17, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -80\/87129 and 28\/8759.\nAnswer: 1655451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 91*a**3*u - 5*a**3 - 2*a*k - k*u - k - 55 wrt a?\nAnswer: 273*a**2*u - 15*a**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1096\/26 + 36\/(-234). Suppose -v + 7*v = t. Suppose 0 = v*d - 21. Solve 0 = d*k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 35, 23, 39, 113, 275, 555, 983?\n\"Answer: 5*o**3 - 16*o**2 + o + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1449416.\nAnswer: 2, 103, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112 - 58. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**3\/3 - 5*c**2\/2 + 7*c + 1. Let u be q(-5). What is the highest common factor of u and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -20*a**3 - a**2 - 2*a - 1. Let k be (4 - 5)\/(4\/(-180)). Let r be k\/(-30) - -1*(-2)\/(-4). What is m(r)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2327*p = 2333*p. Which is the closest to 1? (a) 0.5 (b) -1\/2 (c) p (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 - f**3 + 4*f**3 + (2*f**2 - f**2 + 0*f**2)*(-1856 + 1856 - 57*f).\nAnswer: -56*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -5. Find the first derivative of -265*t**o + 275*t**4 + 1 + 7 wrt t.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 6. Let t(r) = 37*r - r**2 + 5 - 37*r. What is 5*a(l) + 6*t(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 30*l + 1. Let w be o(-28). Let z = -43 - w. Solve 0 = 3*h - d - 18, -5*h = -d - z - 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s = c - 1277, 4*c - 5153 = -s. Let r be (-4 + 1)*(-78)\/c. What is the third smallest value in r, 0.05, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*r + 4505 + 949 = -362*r + 643*r for r.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4162 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43354 or 43357?\nAnswer: 43357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1947 is divided by 34?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**4\/12 - k**3\/3 - 12*k**2 - 9*k. Let h be g(6). Suppose h = 3*y - 1345 - 1676. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 3*u + 5. Let n be d(-5). Let v = n - 0. Let h(w) = -2*w + 7. Let a be h(v). Calculate the highest common factor of a and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 5:57 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111101 (base 2) to base 8.\nAnswer: -475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18\/5*l**2 + 2\/5*l**3 - 10 + 6*l = 0 for l.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492592 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 243 - 218. What is the second derivative of 258*v + b*v**3 - 267*v + 8*v**3 wrt v?\nAnswer: 198*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 997*p**4\/24 - 37*p**3\/6 - 12*p**2 + 3*p. Let s be w(1). Calculate the highest common divisor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(-513) + 168\/(-81).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*j**3 + j**4 + 7*j - 26*j**3 + 0 + 0*j - 7 to the form z*j**2 + a*j**3 + c*j + w + n*j**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*a**4 + 75*a**3 - 178*a**2 + 148*a - 40.\nAnswer: -(a - 5)*(a - 2)*(3*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 13 = 7, b - 3*m + 7 = 0. Suppose -18 = -10*i + b*i. Suppose p + 24 = i*p. Solve 3*n + 9 = -p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, w: 1, v: 2, g: 1, r: 2}. Give prob of picking 2 v and 1 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 118*r + 118*r - 252*r + 187. Determine q(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62920.99999923343 - -62921. What is f rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 30*x - 34*x + 3047, 0 = -3*x + q + 2284. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -393*w - 581*w + 69*w as l*w + y and give l.\nAnswer: -905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 10*k**2 + 8*k. Let f be s(-9). Let p be f\/((-6)\/2) + 7. Suppose -p*b = -n - 3*n - 4, -3*b = -3. Solve -3*g + 5 - 2 = n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2)\/(6\/((-12)\/2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24286098.\nAnswer: 2, 3, 17, 238099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/43, -42\/13, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o + 14 - 15 + 2*o - 2*o. Give m(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 7:24 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Let j be (-1)\/(1\/(-2))*-1. Let g be (-65)\/(-20) + j\/8. Solve 0 = -g*f - i*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from mttatjjmmtas?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 26*n + 9. Let p be y(17). Let k be p\/198 - (-2)\/11. What is the tens digit of (k\/3*59)\/(33\/99)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/1330*(-182)\/(-13)\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, 59 in increasing order.\nAnswer: -5, 0.1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 393, 788, 1183, 1578, 1973?\nAnswer: 2368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 4*s - 14 = -2*s, 0 = -3*i + 5*s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 4*r - 34. Let x be l(8). Let g be -1 + (-4)\/6*3. Put 2, g, x in descending order.\nAnswer: 2, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1010110101010011001?\nAnswer: -1010110101010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 446*m - 3126. Determine s(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7051.\nAnswer: 11, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/599 in 3, 1564, 4\/5, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1 - (-55 - -39) - (3 - -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010565163 rounded to 7 dps?\nAnswer: -0.0001057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (46 + 16 + 44)*(-u + 1 - 1) + 4*u - 6*u - 2*u to d*u + i and give d.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**2 - 14*g - 3. Let n be p(-4). Let a = n + -116. Calculate the highest common divisor of 68 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -5*k**3\/3 - 27*k. Let f(w) = -6*w. Determine f(s(z)).\nAnswer: 60*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 6*i**2 + 3*i**2)*(7*i + 29*i**2 - 2 - 11*i**2 - 17*i**2).\nAnswer: -2*i**4 - 14*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -490, -2033, -4836, -9091, -14990, -22725, -32488?\nAnswer: -44471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + 10. Let s(y) = 1 - 1 + 2. Let l(k) = -1. Let f(i) = 3*l(i) + s(i). Let q(j) = -2. Let g(o) = -3*f(o) + q(o). Calculate 10*g(u) - n(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + r - 5*r = 192, t + r - 56 = 0. Let q be (1 - t\/4)*-7333. Suppose -q = 4*y - n - 0*n, 0 = -2*y - n - 44004. Round y to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (175\/75)\/((-70)\/(-12))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2198.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02798 rounded to three dps?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/139 - -131\/556. Which is the nearest to 1? (a) -0.1 (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1 - 19759*v + 9878*v + 9884*v. Let d(a) = a. Determine -2*d(f) - r(f).\nAnswer: -5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035458 rounded to three decimal places?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3212*i**2*p - 55*i**2 + i - 15 wrt p?\nAnswer: 3212*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9727417 and 0.3.\nAnswer: -9727416.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -43, 2, 15, -7 in increasing order.\nAnswer: -43, -7, 2, 15, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*b + 2*j, -2*b + 0*j - j - 1 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2034 - 4100?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-122)\/(-170) - 88\/748.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 + 23*r**2 + 28*r + 5. Let l be b(-11). Which is smaller: -545\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -4, -24 in descending order.\nAnswer: -4, -17, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 9271019\/4 and 2317754 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5574, 12031, 18488, 24945?\nAnswer: 31402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5889.34 + 5827. Let f = 62.28063 + i. Let a = f - -0.06. What is a rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ppqppq.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 2*g**3\/33 - 2878*g**2\/11 + 4141442*g\/11 - 5661. Factor a(q).\nAnswer: 2*(q - 1439)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7272\/5*t + 242\/15*t**3 - 1984\/15 - 19976\/5*t**2.\nAnswer: 2*(t - 248)*(11*t + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 + 68. Let w(g) = -g - 2. Let f(k) = k + 1. Let l(i) = d*w(i) - 2*f(i). Determine l(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26, -82, -176, -308?\n\"Answer: -19*u**2 + u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**5 + 2*n**5 + 2*n**5 + (8*n**4 + 14*n**4 - 4*n**4)*(3*n + n - n).\nAnswer: 53*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2976876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1314.82521910608 - -5266258.15522840608. Let w = r + -5264943. Let l = 0.33 - w. Round l to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-21)\/(-6) - 2)\/((-83)\/(-1494)). Solve 0 = p*s + 59 + 76 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2569 + 2647. What is the highest common divisor of 54 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11856\/(-1092) - (-24)\/(-21)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61257 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*1*(-59)\/5900*75?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 8. What is the derivative of -2 + 1 - 2*z**2 - 5*z**d - z**2 wrt z?\nAnswer: -16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 25 = -7*b. Let i(z) = -z - b*z - z. Let w(u) = -2*u**2. What is w(i(j))?\nAnswer: -98*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 232, 495, 874, 1375, 2004, 2767, 3670?\nAnswer: 4719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2337504 and 864?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Is s\/(-6) + (-672)\/(-18) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/12*(-2)\/(-5)*2*1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -200*v + 49956. Calculate b(250).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 366 and 10?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-291 + 13*a + 291)*(2*a + 7*a - 4*a)*(2*a - a + a)*(3*a - 5*a + a) to the form p*a**4 + b*a**2 + r*a + o*a**3 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7245*x**3 + 50*x**2 - 162008*x + 28 wrt x?\nAnswer: 43470*x + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 14 - 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3468 is divided by 43?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.6 - -1.44. Let w = o - -2.96. Round w to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463402783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(192))**2 - ((0 + sqrt(3) - sqrt(3)) + sqrt(3) + 0)) + sqrt(12)*3 + (sqrt(216) + sqrt(6))\/sqrt(2))*-5.\nAnswer: -960 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 13. Let t = -17 + 53. What is the greatest common divisor of t and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -117260641 not equal to -117260638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/35*(-14)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 831930 by 110.\nAnswer: 7563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262550654?\nAnswer: 2, 79, 1661713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 33 - 35)*(-4*l - l + 3*l)*(4 + 2 - 8 - 14*l) to the form w*l + y + f*l**2 and give w.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**(-2\/51))*s*s*s**(-7\/2)*(s**(3\/8))**11 assuming s is positive.\nAnswer: s**(1087\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1254442)\/5)\/(2\/(-140)). Let s = k - 7818142. Suppose 5*a + 16000005 = m, -3*a = -m + s - 144041. What is a rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 + 4*i + 1. Let l be q(-3). Suppose -27 = 4*n - l. Let d be (-20)\/2*(-2)\/n. Sort 4, d, 1 in decreasing order.\nAnswer: 4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 8. Let q be 1*(b*2 + 0). Suppose -q*j - 9 = -3*j + 3*w, 4*j = 3*w + 9. Solve -3*d - 4*a - 10 = 0, d + 2 = -a - j*a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45, -93, -155, -237, -345, -485, -663?\n\"Answer: -y**3 - y**2 - 38*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 6:29 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 90 = -2*b - 2*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 1769*i**3\/6 + 2771*i. Let u(g) = g**2. Give o(u(h)).\nAnswer: 1769*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (0 - -2 - 0). Let x(d) = 9*d**2 - 2*d + 2. Let t be x(g). Suppose -7*j + t = -106. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 9*w - 49. Is 5 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12552 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73221 - 6652. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/(c*c*c**(-1\/3)))**43*(c**(-1\/4))**12*((c**(-2\/9))**(-11))**(1\/32) assuming c is positive.\nAnswer: c**(7835\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.134*1371.7\nAnswer: -183.8078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34616, -34620, -34616, -34598, -34560?\nAnswer: -34496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -273*d**2\/2 + 9*d + 180. List the prime factors of c(-1).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 6:14 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 2\/2)\/2. Let p = w + -4. Let c = 4 - p. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1151 + -1145. Solve -4*s - 2*n = -8, -8*s + 5*n = -a*s + 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28609036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - a + 1 + 3*a)*(-1620*a + 522*a - 1096*a).\nAnswer: -4388*a**2 - 4388*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64836799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.68 - 2.78. Which is greater: v or 1\/86?\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y = -32. Let t be y\/(-6)*(-6)\/4. Let p be ((-3)\/(-15))\/(t\/(-10)). Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 905609 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 183104*c**2 + 4030224*c.\nAnswer: -4*c*(c - 22)*(c + 45798)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3)*((-451)\/(-44) - 10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 12*f**2 - 18 - 7*f - 122*f**3 + 15 + 121*f**3. What are the prime factors of x(10)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 2*f - 3. Let i(k) = -1. Determine -6*i(y) - p(y).\nAnswer: -y**2 - 2*y + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2879878 is divided by 1425.\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4194291 is divided by 2371?\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + 5?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -2. Suppose 22*n = l*n - 64. Let w = n + 108. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (654\/1199)\/(12\/44)*426\/12.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = -2*d + 15516. List the prime factors of d.\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -7\/3, -1, -9\/11?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 5*c**2 + 5*c - 33. Give a(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -2.2. Let x = 7 - w. Let a = -5 + 0. Sort a, x, 3 in increasing order.\nAnswer: a, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7316 and 142565063?\nAnswer: 1829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 964 = g, 5*g - 3*o = 2*g + 2892. Let k = g - 291. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-6*u**2 + 23 - 23).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**2 - 6 + 0*u**3 + 2*u + 4 + u**3 - 2*u**3. Let k be ((-2)\/1)\/((-1)\/(-2)). Is 3 a factor of g(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 1*-2 + 9. Suppose m = -2*m + i. Factor -m*x + 1 + 0*x**2 + 0*x**2 + 1 + x**2.\nAnswer: (x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3642 (base 15) to base 2.\nAnswer: 10110100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8953531 divided by -3?\nAnswer: -8953531\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1855 and 147605.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669001 is divided by 70?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7314 and 1380?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 3:31 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 137*y - 140*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -5, -0.1, -1, 2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, m: 2, p: 3, l: 1, o: 1}. What is prob of picking 1 d, 1 m, and 2 p?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(2) - 1*sqrt(2)))**2*6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 12. Let s = t + 7.7. Which is the closest to -0.1? (a) s (b) 4\/5 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -11*s - 8. Suppose -4*x + 2*n - 3 = -1, -5*x + 4*n - 1 = 0. Let i(d) = -4*d + 1. Let z be i(x). Let l(y) = -7*y - 5. Give z*f(c) - 8*l(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5+194100112872\nAnswer: 194100112877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26966902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.054 + -0.064. Let v = 6 + -6.3. Let t be (-5 - 0)*(-1)\/3*-3. Which is the second smallest value? (a) v (b) t (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, p: 2, b: 6, c: 2}. Give prob of picking 1 p and 3 n.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.0011 and -1\/32 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162891 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/282 and 103\/1002.\nAnswer: 47094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 18942?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 655.624 and 1.\nAnswer: 656.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 40656142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 2*c + 2*c)*((56*c**2 - 60 + 60)*(0 + 0 - 6) + (0 + 0 + 4*c)*(3*c - 2*c - 2*c)).\nAnswer: -340*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 + 10*v - 5. Let c be u(-5). Let w(a) = -a**2 - 6*a + 7. What is w(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13, 29, 45, 61, 77, 93?\n\"Answer: 16*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 8*k**2 - 2*k + 57. Give p(9).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1134552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001647 rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9400063969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 67*u**2 + 204*u + 582. Calculate h(70).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5230, -5227, -5224, -5221, -5218, -5215?\n\"Answer: 3*n - 5233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 845924 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6273 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -59*-10\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-33)\/(-55))\/(2\/90). Let l = u - 21. Let y be (-4)\/9 + l\/9. What is the second biggest value in y, 1\/2, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1180 + 2051. Let g = -601 + q. Let j = 397 - g. What is j rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 8*y**3 - 2*y**2 + 19*y - 17. Give z(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + g + 60. Let i be r(0). Let j = -43 + i. Calculate the remainder when j is divided by 2\/(-4)*(-37 - (-19 + 14\/7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**9\/37800 + b**7\/6300 - b**4\/24 + 3*b**2. Let z(o) be the second derivative of l(o). Factor z(p).\nAnswer: -2*p**2*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13144 (base 5) in base 6?\nAnswer: 4505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8246125630360 and 1.8?\nAnswer: 8246125630361.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -18\/7, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.28 + -0.01. Put 2\/3, 1, z in increasing order.\nAnswer: z, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(-2*c - 2*c**2 + 2*c) - 2*c**2 + 3*c**2 - 2*c**2 + (-c + 2*c - 3*c)*(-c + 1 - 1).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7*2\/(-56) - (-282)\/8. Suppose -b*k + 527 = -4*k. Solve -7*a - k = 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805042 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36388)\/(-11578)*595\/55?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 - -911?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, 4, -0.3, -2.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9757 - 0.7757. Sort -34\/23, u, -2\/3, 4\/9 in decreasing order.\nAnswer: 4\/9, u, -2\/3, -34\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3\/19, -0.2 in increasing order.\nAnswer: -1, -0.2, 3\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 12*v - 22. Let b be c(6). Solve 4*y + b = -2*h, -4*h = y + 3*y + 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7192, -28746, -64634, -114826, -179292, -258002, -350926?\nAnswer: -458034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (6 - 7 - 1) + -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/z**(-1\/18))\/z)**(-14)*(z**27)**(-4\/11) assuming z is positive.\nAnswer: z**(-3821\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30432196.\nAnswer: 2, 7608049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = -124*h + 1485. Let y(o) = o**3 - 12*o**2 + 11*o + 19. Calculate y(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9)**(-6\/17)*(g\/(g**(-2\/3)*g)*g)\/(g*g\/g**(2\/37)) assuming g is positive.\nAnswer: g**(-6521\/1887)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**5\/20 - b**4\/4 + b**3\/2 - b**2\/2 - 9*b. Let a = 342 + -340. What is u(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/7 (b) -7 (c) 5 (d) 4\/424845\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3311281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - s**2 + 4*s**2 + 2*s**2. Let d(w) = 2*w - 32. Let x(a) = -a + 6. Let k(j) = 3*d(j) + 16*x(j). Determine k(b(v)).\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24667 - -24671. Let n(g) be the second derivative of 1\/4*g**5 - 5\/6*g**3 + 2*g + 0*g**2 + 0 + 5\/12*g**w - 1\/6*g**6. Suppose n(h) = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-six fifths of a micrometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4 - 4 - 3 + j + 4. Let c(x) = 3*x + 17. Let h(r) = c(r) - 2*n(r). List the prime factors of h(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2498.38 rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*j**2 + 50*j**2 + 62*j**2 + 52*j**2 + 51808*j**3.\nAnswer: 51808*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t. Let u(s) = -2*s. Let o(i) = -3*g(i) - 4*u(i). Let z(w) = -8*w. What is z(o(c))?\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 7:34 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 0 + 2*m**2 - 2\/3*m**3 + 58*m. Let c(v) = 5*v**2 - 1. Let n be c(-1). Give l(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 8. Let c = 0.17 - 0.25. Let q = -0.69 - 0.31. Sort h, c, q in descending order.\nAnswer: h, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2517545 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 - 2514*r\/7 - 2512\/7.\nAnswer: -2*(r + 1)*(r + 1256)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71*p + 140*p - 59*p + (-5 + 2 + 5)*(p - p - 2*p) - 1 + p - 3 + 3.\nAnswer: 7*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*v - 18. Let w(x) = -x**3 + 7*x**2 - 5*x. Let g be w(v). Let d(s) = -s**2 + 5*s + 8. Is d(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 5. Let y = 2.986 + k. Round y to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7615188ug to milligrams.\nAnswer: 0.0007615188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 1:36 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 13. Let a = g + 7. Let o(s) = -2 + a - 4 + 3 + s. Determine o(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13485012 by -6.\nAnswer: -2247502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 554689.67 from 1.\nAnswer: -554688.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 - 3*a + 2. Let d be u(1). Let y = d - 4. Does 24 divide (y\/(28\/(-360)))\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -143610 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*c**3 - 36*c**4 + 31 + 42*c**3 - 81*c**3 with respect to c.\nAnswer: -144*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 43897796 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 325 + -318. Solve 5 = -6*a - r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/(-78))\/((-198)\/(-858)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7016*t**3 + 749*t - 433*t + 10898 - 316*t wrt t?\nAnswer: -21048*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7001, -28007, -63017, -112031?\n\"Answer: -7002*d**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 445926725?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 93*d + 92*d + 4, -2*w + 29 = -5*d for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -18, -1, -424, 4 in decreasing order.\nAnswer: 6, 4, -1, -18, -424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.2 and -10805174.\nAnswer: -23771382.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2110, 4, 55 in increasing order.\nAnswer: 4, 55, 2110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1301511383975\/57236823826 - -5\/24325042. Let o = 591\/26 + k. Let h = o - -2567\/3982. What is the common denominator of 83\/8 and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 6714 = 4*a, 0 = -32*a + 36*a - 2*q - 6712. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -490?\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*f - 163*f + 11528 = 0. What is the remainder when f is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -10. Suppose 4*r - d*r + 10 = 0. Suppose 74 = a + a - 5*c, r*c = 5*a - 155. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 322458079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1995*k - 143682. Give d(72).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 500547 <= 500548?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*o, -5*o = 4*z - 2*z + 35. Let h = -10 - z. Suppose x = -h*x - 290. Round x to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*f - 144156 = -50106. Put 0, f, -4 in increasing order.\nAnswer: f, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 2*b**3 - b)*((-2*b + 0*b + 5*b)*(2*b - b + b) + 16*b**2 - 4*b**2 + 2*b**2 - 2*b**2 + 4*b - 4*b) + 0*b + b**5 + 0*b.\nAnswer: 37*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -253*k**4 - k**3 + 294181*k**2 - 31118*k - 4909.\nAnswer: -3036*k**2 - 6*k + 588362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*i = -99, -3*i = 233*g - 237*g + 167. Solve 14 - g = -4*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*c**5 + 2*c**4 - c**3 - 3*c**2 + 2*c - 1155?\nAnswer: -420*c**2 + 48*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 221 + 2*g**3 - 110 - 115 as v + i*g + b*g**2 + s*g**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3803.135m to millimeters.\nAnswer: 3803135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + v + 1. Let h(g) = 2*g**2 + g - 8. Let n(t) = -h(t) - 3*s(t). Let x be n(5). Let f = x - 4. Calculate the greatest common factor of f and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 303297727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-270*j**2 - 395*j**2 + 516*j**2)*(1 + 0*j + 7*j - 5*j) in the form r*j + l*j**2 + p + y*j**3 and give y.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Let u = -5 + 0. Let h = 1894.5 + -1895. What is the closest to u in h, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.18 + -1.18. Let b = q + 6.2. Round b to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8436 = -5*q - 5*o + 224, 4*q - 6960 = 4*o. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -5*r - 978. Suppose 11*i - r = 5*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 48 = -10*o. Let z be 644\/o*6\/4. What is the greatest common divisor of z and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 2*p - 2*p)*(4*p + 133*p**2 - 4*p) - p**3 + p**3 - p**5.\nAnswer: 132*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, d: 3, s: 1, e: 2, x: 1}. Give prob of picking 2 q.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -6. Suppose b*l = 46 - 11. What is the remainder when 13 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -2. Let u = -1 - k. Let x = 10512 + -10511.9. Which is the nearest to x? (a) u (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*m + 18, 8*m - 7*m - p - 3 = 0. Let h(w) = 4*w - 26. Let a be h(m). Let y(g) = -g**3 - 6*g**2 - g + 2. Calculate y(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/2))**(1\/6)*x\/x**(2\/53)*x*x**1*x assuming x is positive.\nAnswer: x**(893\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 1:50 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 4, -3\/10, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 138 - 43 - 44 + z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*n = a + 2, 0 = 2*a - 4*n + 16. Let k(h) = -106*h**2 + 7*h + 7. Let f(d) = -53*d**2 + 4*d + 4. Let q(u) = a*k(u) + 7*f(u). Is q(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 23 = 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k. Let j(i) = -9*i. Let w(l) = 6*j(l) + 10*x(l). Let z(s) = 16*s + 96. Let y(b) = -b - 8. Let d(f) = -12*y(f) - z(f). Calculate w(d(p)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + a2a34?\nAnswer: a2a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 y when three letters picked without replacement from jyjy.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/546*64376\/(-1857)?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*j + j - b, 4*j - 96 = -3*b. Suppose 2*n + n - 5*z - 98 = 0, 4*z = -16. Suppose j*c = n*c - 65. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 652567 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 23. Give m(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*a = 16, -2*a = 2*z - 3*a - 4. Suppose -c + 69855 - 304330 = z. Let d = -145525 + c. Round d to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37161 + -14993. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 15 - 4*c**3 + 27.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8a7 + -a?\nAnswer: 89a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 3*u - 2. Give x(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 2\/33, 0, -1?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18992842763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 897\/92)*3.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2327912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4915570076 to the nearest integer?\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 2) in base 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5904 and 15088.\nAnswer: 135792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 154*k**2 - 19*k - 8. Let n = -6 + 5. Let u = -9 - n. Let c be t(u). Round c to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(30)\/sqrt(6)*2 - sqrt(45)*2)*-4.\nAnswer: 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2245 in -3\/2, -3\/25, -2\/5, 1, 5, 0?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, -9690, 140 in ascending order.\nAnswer: -9690, -1, 6, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -498, -1962, -4408, -7842, -12270, -17698, -24132, -31578?\n\"Answer: -y**3 - 485*y**2 - 2*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 535518 (base 9) in base 4?\nAnswer: 1031320103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6084*x. Let u(t) = t - 11. Give y(u(g)).\nAnswer: -6084*g + 66924","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 122513544, 245027091, 367540638, 490054185, 612567732, 735081279?\n\"Answer: 122513547*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*r + 4*r - o, 0 = -3*o + 9. Solve 0 = -2*d - 3*z + 7, -3*d + r*z - 22 = 4*z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (sqrt(187) + 6*(sqrt(187) - sqrt(187)*1)) - sqrt(187))\/(-2*sqrt(11)*-2).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**4 + 189*o**3 + 171*o**2 - 923*o + 548. Let l(z) = -4*z**4 - 945*z**3 - 855*z**2 + 4616*z - 2735. Let m(y) = -2*l(y) - 11*r(y). Factor m(d).\nAnswer: -3*(d - 1)**2*(d + 3)*(d + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 25 = 5*a. Let w = -10 - a. Calculate the highest common divisor of w and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-2))\/(2\/32). Suppose q + 22 = u. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 24187611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 172989 and 63081?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 27\/4635938?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 5*v + 8. Suppose -6*b + 8 = -b + 3*l, 0 = 5*b + l - 6. Let k be b*4\/16 - (-100)\/(-16). What is the units digit of y(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 8 = -10*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41303, -41298, -41281, -41246, -41187, -41098, -40973?\nAnswer: -40806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -19. Let u be 36\/30*(-20500)\/t. What is u rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 2*z + 78 + 275 to the form d*z + s and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/95 (b) -0.3 (c) -2 (d) 15 (e) 39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3764*t - 7787. Calculate m(2).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 3. Suppose 2 = -2*f - 2. Let u = -4 - f. Let i(n) = -1 - n + 3 + 2*n. Calculate u*t(h) + 3*i(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i + 1. Let y be m(-1). Let r = y - 4. Solve -2 + r = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*b - 63*b - 56. Solve b*n = -11*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.0489 (b) -2\/3 (c) -2 (d) -2\/11 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6, 0.049, -274?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**8\/36960 + g**7\/6930 - g**6\/3960 - g**4\/24 + 2*g**2. Let o(c) be the second derivative of t(c). Factor o(p).\nAnswer: -2*p*(p - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 11*x**2 + 19*x - 17. Let v(b) = 9*b**2 + 19*b - 14. Determine -5*t(j) + 6*v(j).\nAnswer: -j**2 + 19*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 13. Let x be p(14). Let y(a) be the second derivative of -13*a**3\/6 - 4*a**2 + 206*a. Let z be y(x). What is the closest to -1 in 0.4, -5, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2112122020111022 - -1011?\nAnswer: -2112122020110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5123 - 399463\/78. Calculate the common denominator of -103\/26 and g.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 566.9 - -0.02.\nAnswer: 566.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n = -142*n - 38*n + 13114. Solve 17*a + n*a = 100 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*1\/2 + 38. Let n = l - 16. Calculate the remainder when 64 is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, p: 1, u: 2, x: 1, b: 2, e: 2}. What is prob of sequence zpxb?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.03272 and 0.2.\nAnswer: 0.16728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 5*u - 1464. Let v = 251937 + -251895. What is the greatest common factor of v and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*j - 24*j + 80. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 81*y - 177. Let x(n) = 5*n - 11. Let p(w) = 2*k(w) - 33*x(w). Let d = 14072 + -14070. Let s be p(d). Solve s*z - z = -4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 6*j. Let h be r(-6). Let u be (-27)\/(-1116)*(-8)\/(-3). Which is greater: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 19 - 1 = 0. What is the remainder when -122*v\/(-8)*1 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 14 = 3*w, -12*f - 118 = w - 13*f - 14*f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -186\/5 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-g + 4*g - g)*(1 + 46 - 19)*(73 + 87 - 29) + 2*g + 2*g - 3*g)*(3*g + 1 - 1) in the form d*g + a*g**2 + n and give a.\nAnswer: 22011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78251019?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -685*d**3\/6 - d**2 + 3483*d. Let a(l) = 2*l. Calculate a(j(u)).\nAnswer: -1370*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -5*x - 4*t + 6*t, 0 = -5*x - 5*t - 45. Is x < -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*k + k + 3*t, 0 = -k + 3*t + 2. Does 35 divide k\/5 - (-2)\/(-10)*-776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**4\/12 + 120*j**2 - j - 7. List the prime factors of f(0).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106 + 107. Let y(v) = -22*v**2 + v. Determine y(f).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1936 = -3*o - 5*v + 3*v, -2*o = -5*v - 1278. Let x = 1074 - o. What is x rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 5*z**2 + z + 5. Suppose 25 = -11*m + 6*m. Let f be j(m). Let l be (-2)\/(-4)*2*3. Solve 2*c - 5*c + l = f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1670000 rounded to the nearest 10000?\nAnswer: -1670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*(sqrt(7) - (1 + sqrt(7))) + (-1*sqrt(343) + -3)**2 - -2*(3 + (sqrt(343) - sqrt(343)*1) + 5)**2.\nAnswer: 42*sqrt(7) + 498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + i + 1. Let d be -2 + 1 - (-7 + 21). Let u = d + 9. Is r(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.07 less than 4.39?\nAnswer: 14.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 3:09 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 650 - 648. Let -2*c**2 + 72 - 12*c**y + 95*c**4 + 9*c - 8*c**2 + 15*c - 4*c**3 - 93*c**4 = 0. What is c?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1567820 is divided by 110.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - l**2 - 1. Let w(d) = d**3 - 2*d**2 + 4*d - 2. What is 2*i(s) - w(s)?\nAnswer: -3*s**3 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 498 divide 687977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 2*g**6\/15 - 96*g**5\/25 - 52*g**4\/5 - 531. Suppose z(j) = 0. What is j?\nAnswer: -2, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -17*y + 2565. Suppose 226 = 3*o + 4*r, -2*o = -4*o + 2*r + 160. Suppose -b - o = -3*b. Calculate the highest common divisor of b and y.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15*12\/36 + 987\/8. Let t = -16373\/128 + c. Find the common denominator of t and -69\/8.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10996823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - j + 1. Suppose -2*g - 5*x = 6, 5*g - 2*x + 0*x + 15 = 0. Calculate t(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1176 and 12509448.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-1))\/(-6) + (-21)\/(-14). Suppose 3*b + 8*l = 3*l + 869, t*l = 4*b - 1176. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35930667?\nAnswer: 3, 2423, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 4*r = -6*h, 2*h + 4*r - 12 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78661030 and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**3\/2 - 2068605*y**2\/2 + 1034256*y + 31029030 = 0. What is y?\nAnswer: -5, 6, 689534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -3, -381.82, -3.8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -173.156 - -0.156. Let l = -172.6 - h. Let u = -0.64 - -0.44. Which is the second biggest value? (a) -7\/3 (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**3\/7 + 2973*y**2\/7 + 20940*y\/7 + 17964\/7 = 0. What is y?\nAnswer: -6, -1, 998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -65*h**3 - 15*h**2 - 2*h - 18. Let b(y) = 66*y**3 + 20*y**2 + 2*y + 17. What is -3*b(r) - 4*n(r)?\nAnswer: 62*r**3 + 2*r + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -16*a**2 + 43*a + 225. Calculate n(-3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 158*n - 154*n - 16 = 0, n + 6 = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x**2 - 4 - 2*x**3 - 11*x**2 + 6 + 2*x + 2*x - 5 to v*x + m*x**2 + y + j*x**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + -46 - (48634 - 48820).\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -1\/60*z**5 - 5*z**2 - 7\/24*z**4 + 0 + 1\/2*z**3 + 0*z. Let t be i(-4). What is the highest common divisor of 45 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/10, 10\/7, 7, -2\/31, -5\/4?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 279388724047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.5 - 11350.73314?\nAnswer: -11366.23314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3956346\/17 or -232725?\nAnswer: -232725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5060 is divided by 2332?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -14) + 35 + (-23 - -13) + 53?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2060 - -1244241\/604. Which is bigger: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 9.7. Let x = -0.3 - u. Let g = 721 - 716. Which is the closest to 1? (a) g (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 110, 179, 260?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*o**3 - 848*o**2 + 663*o - 126.\nAnswer: -(o + 14)*(8*o - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 499264 and 23200.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -220.\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - (-23 - (78 + -27)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.06, 5, 3.\nAnswer: -0.4, 0.06, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3227709\/70 + -46109. Calculate the common denominator of f and 33\/100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 - -33. Which is the second smallest value? (a) 2\/9 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*s**4 + 3*s**2 - 30*s**2 - s**3 + 25*s**2 to u*s + a*s**2 + l + o*s**4 + r*s**3 and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 31831.24 years?\nAnswer: 3183.124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -1 - (-10 + 6). Suppose -h*i + 11 - 3 = 0. Let j = 6 - 1. Calculate the highest common divisor of j and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.61 and 14.477?\nAnswer: -8.83097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -54046?\nAnswer: -5404a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*i**3 - i + 100*i**4 + 21*i**2 - 99*i**4 - 20*i**2 to the form g*i**2 + o*i + l*i**3 + r + c*i**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 8. Suppose w + 80*t + 2 = 75*t, 2*w - 4*t = -18. Determine c(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 5, -2.7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 + (5 - -18) + -9. Let w(y) = 17*y**2 - 7*y - 4. What is the tens digit of w(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 + 53. Let h(q) = -8*q + 1. Let a be h(-4). Let s = k + a. Calculate the highest common factor of s and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4 - 16 = 0. Let v = f + 4. Suppose 0 = -5*n + n + 16. Calculate the remainder when v is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 21 = -6. Let z(h) = h**2 - 5*h - 3. Let s be z(l). Let b = 18 + s. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2376 + -2330. What is the greatest common factor of 31073 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8196 and 44?\nAnswer: 90156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -13 - (7 + (-3 - (-5 - 0)) - -14).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10*82\/16 - 2\/8. Let i(x) = -5*x + 28*x**2 + 25*x**2 - f*x**2 - 8. Calculate the remainder when 62 is divided by i(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*h, -3*y - 24 = 5*h - 82. Let t = -3094 + 3094.3. Sort 3\/7, y, 3, t.\nAnswer: t, 3\/7, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**6\/840 + 3*t**5\/35 - 23*t**4\/56 + 13*t**3\/6 + 63*t**2. Let u(q) be the first derivative of i(q). Factor u(o).\nAnswer: -3*(o - 23)*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-489720)\/5100 - -97) + 6\/(-34))*(-5)\/42?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -137.1, 6\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 776 and 10088?\nAnswer: 10088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 1, 27, -5 in descending order.\nAnswer: 27, 4, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, u: 3}. What is prob of picking 3 m?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 times 49?\nAnswer: -3822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(605) + sqrt(605)*-1)*-6)**2 - (5 + -1*sqrt(605)))*-5.\nAnswer: -75 + 165*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2770 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 20*c - 26. What is the units digit of z(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 5*s + 7. Let d be h(-7). Is 9\/12*(731 + d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-20) - (-28)\/35*-5) + 9\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28415690*i**5*q - 6*i**4*q + 606*i*q + i + 42201*q wrt i.\nAnswer: 568313800*i**3*q - 72*i**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -51*b - 2191. Let x be z(-43). Solve 11 = -y + 3*k, k = 5*y - 13 - x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxua when four letters picked without replacement from lxtsuuat?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**3\/3 + 9*u**2\/2 + 5*u - 2. Let g be x(10). Which is the closest to 0.1? (a) 1 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 30 = -0*f + 3*o, -f = o. Suppose 10 = -a - 4*a - 5*p, f*p = -4*a - 13. Solve 0 = -2*d - a*d + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579121.518 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**8\/560 + r**6\/360 + r**3\/3 + r**2. Let d(w) be the first derivative of s(w). Find the third derivative of d(g) wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7250*v**2 - 175*v + 175. Let g(f) = -125*f**2 + 3*f - 3. Determine 175*g(x) + 3*w(x).\nAnswer: -125*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -2526624 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 585630 and 7560.\nAnswer: 16397640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 21*u + 11. Let x(k) = -3*k**2 - 8*k + 32. Let q(p) = 2*p**2 + 5*p - 20. Let z(i) = 8*q(i) + 5*x(i). Calculate j(z(y)).\nAnswer: 21*y**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -3*a - 5*s + 23, -s = 3*a - 95. Suppose -30*y + 484 = -a*y. Which is bigger: -483\/2 or y?\nAnswer: -483\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031854372 rounded to four dps?\nAnswer: -0.0319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1391818, 2783782, 4175746, 5567710, 6959674, 8351638?\nAnswer: 9743602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60.4 + 60.6. Let q = 0.0401 - 21.9401. Let z = q - -22. Which is the biggest value? (a) -2 (b) z (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 - -129?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h + 4. Let s(g) = 26*g. Give s(d(m)).\nAnswer: 52*m + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/266 and -7\/57.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*w + 171*w + 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 23*n**2 + 12*n**2 - 3*n**2. Is k(1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41049499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 99*x**2 + 53*x - 51. Is a(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y + 171. Let n(g) = g + 58. Calculate -17*n(r) + 6*s(r).\nAnswer: r + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1560407*q**4 + 5555495?\nAnswer: -6241628*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 20. Let j = a + 29. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -19145346 and 0.09.\nAnswer: -19145345.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**3 + 5*f**2 + 24*f + 5. Let o(r) = 2*r**3 + 3*r**2 + 12*r + 3. Let i(v) = 3*d(v) - 5*o(v). Find the second derivative of i(h) wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -224, 1\/7, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 24 = g. Let m be ((-4)\/(-10))\/(g\/(-75)). Which is the third smallest value? (a) 0.3 (b) 1\/6 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91203 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -45. Let m = 106 - 34. Let d = -433\/6 + m. What is the closest to g in d, -3, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4382547 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2194, 2210, 2236, 2272, 2318?\nAnswer: 2374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -16. Let a = y + 1.1. Let b = 39 + -39.6. Which is bigger: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3753 and 27?\nAnswer: 3753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*b - 26, k + 2*b - 18 = -6. Differentiate -28*d - 5 - 17 + 28*d + 57*d**k with respect to d.\nAnswer: 114*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7 + 2*g - 5 - 12 + 28. Let u(f) = 2*f + 3. Determine 2*k(a) - 3*u(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*j - 4*k - 11 = 0, 4*j + 5*k = -13. Let h = -19715 - -19720. Solve 4*a - 3*n + 35 = 0, -j*a - 5*n = -n - h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 9 = -0*d + m, -10 = 3*d - 4*m. Let w(p) be the third derivative of -p**6\/120 - p**5\/30 + p**4\/12 + p**3\/2 - 7*p**2. Give w(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1677 + 4*k**3 - 1706 + 3365.\nAnswer: 4*k**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1785, 3570, 5369, 7188, 9033, 10910, 12825?\nAnswer: 14784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3640 and 816774.\nAnswer: 212361240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a gram in milligrams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 50*u - 440. Let c be l(9). Let q be 2\/5 - (-9)\/15. Put 5, c, 3, q in increasing order.\nAnswer: q, 3, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + i + 91 = 116, -5*t - 143 = i. Are -42 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 - -1)*(-1)\/(-2). Suppose 51 = w - 2*k, -5*k = -6 - x. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 15*x = -17*x + 534, h - x = 129. Solve 0 = -55*w + 11*w + h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**6\/40 - p**5\/4 - 3*p**4\/8 + 9*p**3\/2 + 126*p**2. Find n, given that s(n) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2560)\/1792*(-1 + 10\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -5*i + 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 3*u**2 + 0*u**2)*(445 - 67 + 673).\nAnswer: -2102*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 11:51 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/29459451 and -83\/324053961?\nAnswer: 324053961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 1:05 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -183 in -3, 3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (498 + 109 + 962)*(3 + 0 - 1)*(-w**3 - 3 + 3).\nAnswer: -3138*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(408)\/(sqrt(8)*3))\/(sqrt(300) + sqrt(300)*3) + -5)**2*6.\nAnswer: -sqrt(17)\/2 + 360017\/2400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.89 + 9. Let a = x - -0.29. What is the third smallest value in 4, -1\/7, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((3 - 1) + (6 - 12))*-1. Suppose -5*r + v*x = -271, -6*r + 3*x = -r - 272. Let m = 66 - r. Calculate the highest common factor of m and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9401+-1786.8\nAnswer: -1788.7401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1551 and 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39242535586.059946 - -39242603486. Let k = 67900 - r. Let g = 0.06 - k. What is g rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-26)*q*(q\/(q*q**(1\/10))*q)\/q assuming q is positive.\nAnswer: q**(-251\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 151009045 * 5.\nAnswer: 755045225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 987 and 28380527?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = 5*m + 28. Calculate the highest common divisor of m and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - u = -5, -2*u = 1134*o - 1132*o - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-2)\/(-4)*(-2)\/(-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -2) + (-592)\/(-2). Suppose 2*q = -0*q + z. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + -2 + 0 + sqrt(833))**2 + 1 - (-6*(2 + sqrt(1377) + 1))**2.\nAnswer: -46559 - 2000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c. Let a be t(2). Let z(r) = r**3 - 6*r**2 - r + 2. Let y be z(a). Suppose 2*b = -3*b + 20. Put y, 1, b in descending order.\nAnswer: b, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -24. What is the greatest common factor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -9 - (4 + -9) - (-435)\/15. Put 0.8, a, 1\/2 in descending order.\nAnswer: a, 0.8, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*l**2 - 30*l**2 - 46*l**2.\nAnswer: -57*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 171320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g + 88. What are the prime factors of y(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63356901.\nAnswer: 3, 31, 681257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*w + 39. Suppose 68 + 4 = w*t. Calculate the remainder when 46 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - 2*t - 1. Let h be u(5). Suppose m = -h + 114. Let w = -296 + 322. What is the remainder when m is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000809692 rounded to six dps?\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/6)\/((-8080)\/606).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**7))**33 assuming x is positive.\nAnswer: x**231","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2420 + 4274. List the prime factors of r.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 4:08 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32632 divided by 285.\nAnswer: 32632\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 530 + -112. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115 times 62\nAnswer: 7130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/(-175) - (-2)\/(-14))*2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 13 = 20. Suppose 3*d + 10 = -x. Which is smaller: d or -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60508.4 + -60508. Let z(o) = 32*o - 1. Let l be z(-1). Is c bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4 + 13*f**3 + 305*f**2 - 1725*f = 0 for f.\nAnswer: -15, 0, 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/26 + (-558)\/78. Let b = 183 - t. Does 28 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + u - 13. Let i(k) = -k**2 - k + 6. Let b(g) = 6*a(g) + 13*i(g). What is the second derivative of b(r) wrt r?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -124796*t**2. Let a(i) = -310*i. Calculate a(o(h)).\nAnswer: 38686760*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1614)\/(-45) + (-38)\/(-285). Calculate the greatest common factor of 96 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 124, 6, -230, -584, -1056?\nAnswer: -1646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -123*d*x**2 - 2*d*x + 1235*d - 30*x**4 + 5*x**3 - x**2 + 73*x - 14 wrt x.\nAnswer: -246*d - 360*x**2 + 30*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -1)*(3 + -5). Let u be (147\/(-24) - -5) + (-3)\/b. Which is bigger: -0.3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191719.\nAnswer: 11, 29, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 4*x = 2*x. Let s = 0 - -2. Suppose -3*j + 13 = 3*l - j, -18 = -4*l - s*j. Solve 4*n = 0, -l*f - 2*n - 3*n - 10 = x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38257506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 276939 or 276938?\nAnswer: 276939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 57 - 0 - (-5)\/(-5). Let o(q) = -q**2 - 4*q + 4. Let a be o(-3). Calculate the greatest common divisor of a and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42923 + 300484\/7. Find the common denominator of k and (27 - 5)*(-7)\/(-64).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*1*4*((-3)\/54)\/((-2299)\/227601)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2859*m**2 + 37168*m - 4. Determine i(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t + 10641 + 8394 - 19035.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3545*o. Let n(p) = -2*p**2. What is r(n(d))?\nAnswer: -7090*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 6*l - 6. Let d(k) = k**3 + 6*k**2 + 2*k + 8. Let z be d(-6). Let o be v(z). Solve -2*n - o*n = -a - 3, 5*a = -5*n - 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3394 to two dps.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 - 6)*(-3*h**3 + 5*h**3 - h**3) - 21*h**3 + 6*h**2 - 7*h**2 - 12*h**3 to i*h + q*h**3 + x*h**2 + f and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**7\/1680 - p**6\/72 - p**5\/240 + 5*p**4\/24 + p**3\/2 + 20*p - 3. Let r(d) be the second derivative of b(d). Factor r(a).\nAnswer: (a - 10)*(a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 289*g**2 - 16*g + 41. Is k(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2399*a**4 - 133*a**3*l + 820*a - 1578*l wrt a?\nAnswer: -28788*a**2 - 798*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 21. Suppose 123 - 541 = a*q. Let z = -117 - q. Is z a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -485 and 132.\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1\/2, -3, -407, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 + -58 + 110 + 56?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17650717?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100201001 (base 3) to base 5.\nAnswer: -211300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.48 - 0.7. Let g = 912.2 + -912. Let q = g - n. What is q rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -168.8162.\nAnswer: -168.8162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 5*j - 4, v + 2*j - 2 = -6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145106, -145092, -145074, -145052, -145026, -144996, -144962?\nAnswer: -144924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 403.9305 millilitres?\nAnswer: 0.4039305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 c when two letters picked without replacement from {j: 1, q: 1, p: 1, a: 8, c: 2, m: 1}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22866034 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40791 - -0.36.\nAnswer: -40790.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 28*r - 260. What is the greatest common factor of 70 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 m when four letters picked without replacement from {m: 3, o: 12}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 4449.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phhmmvvmhhmmm. What is prob of picking 2 m and 1 p?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -70 and -26\/2393 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41931463 and 118618.\nAnswer: 83862926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o + 15. Let d be u(3). Let k be -4 + -10*d\/15. Which is the closest to -3? (a) 0.2 (b) -13 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -694*g**4*l**2 - 5*g**3*l**2 - 182*g**3 - 2*g**2*l**2 + 2*g**2 + 9*g*l**2 + 2*g - 2096 wrt g.\nAnswer: -16656*g*l**2 - 30*l**2 - 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2620, -10471, -23556, -41875, -65428, -94215?\n\"Answer: -2617*k**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*z + 4326 = 28*z for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8510642 divided by 1215806\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (140\/4)\/(1250\/(-2250))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -19*f - 149. Let w be l(-8). Solve -4*a = -2*j - 6, 0*j - 35 = -w*j - 5*a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 686184477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3432402*i**3*x**3 + 11831*i**2*x**3 + 7*x**2 wrt i.\nAnswer: -20594412*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59466\/41 or 1451?\nAnswer: 59466\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 2*a - 2, n = 3*n + 4*a - 32. Let c = 33 - 22. What is the remainder when c is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 8, 22, 5, -107?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-53 - -63) + (-1 - -6) + -28\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5\/6, -1.7.\nAnswer: -1.7, -5\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-3 - (-6 - -5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/((-8)\/16). Let x be ((-44)\/33)\/(m\/(-9)). Suppose -11*w - 118 = -x*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37232 divided by 9308\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/17 or -1460846\/17?\nAnswer: -1460846\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, n: 7, r: 1, v: 1, i: 4}. Give prob of sequence rgnn.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v. Let g(s) = -10*s. Let k(a) = 16*b(a) + 3*g(a). Let c(u) be the third derivative of u**4\/12 - 2*u**2. What is c(k(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j + 18. Let s be n(-7). Let o be -2 - 126*88\/(-5511). Which is the closest to 1\/2? (a) s (b) 1\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7416, -7411, -7388, -7347, -7288, -7211?\n\"Answer: 9*a**2 - 22*a - 7403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -1\/4 (c) -4\/3 (d) -1.14 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11\/(88\/16))\/(29\/(-2)). Suppose -2*y - 2*y - 8 = -4*b, 3*y = 2*b - 5. Is y equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 2*b = 2*v - 14, -2*b = 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 192.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6808201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8295 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from kodrrdkrro.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 98*v + 441. Determine k(-4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(22\/(-10) - -2). Let h = 298\/225 + 2\/225. Put d, h, 0.2 in descending order.\nAnswer: h, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 10 + 3 + 34 + -40 + 7 - 39.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/2*5 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 5*j**2 - j - 5. Let z = 6 - 11. Let o be y(z). Suppose 4*g + 4*p + 212 = o, 4*g + 207 = -0*g - 5*p. Round g to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (123\/6)\/((-8)\/(-20)). Let o = 51 - x. Which is greater: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k - 29*k + 14*k + k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42740?\nAnswer: 2, 5, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by -16367.\nAnswer: -44\/16367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20*((-487)\/14)\/((-8)\/28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8.98, -3, 1\/5, -0.4, -1 in increasing order.\nAnswer: -8.98, -3, -1, -0.4, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000317 to 6 decimal places.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d**2 - d + 10. Let j(k) be the third derivative of -k**5\/60 - k**3\/6 - 6*k**2. Let f(o) = 24*j(o) + 3*w(o). Suppose f(v) = 0. Calculate v.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2 + 31*k - 7. Calculate b(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (21 - 28) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-31*1)\/(-1) - (-7 - -6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 4. Let c be ((-14)\/s)\/((-4)\/(-12)). Solve 2*i + 2 = -3*g - 2, i = g - c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c. Calculate the remainder when 19 is divided by z(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -789.8 and 1.9.\nAnswer: -787.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007622.\nAnswer: 2, 3, 7, 11, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3274531883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*z - 2240 - 99*z + 2313.\nAnswer: 3*z + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13224 (base 5) to base 2.\nAnswer: -10000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 246 + 1589?\nAnswer: 1835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-114)\/(-18))*-1 - (-1)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(9\/10 - 1). Let u be 94\/182 + (-57)\/247. Which is the nearest to p? (a) -5 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2726763 and 0.3.\nAnswer: 0.0273237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75086, -301396, -678582, -1206644, -1885582, -2715396, -3696086?\nAnswer: -4827652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.229713 rounded to four decimal places?\nAnswer: -0.2297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1448)\/1448*23\/(1\/(-1))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81 - -123.5. Let v = -34.5 + l. Let w = -0.23 + -0.07. Is w < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a meter in millimeters?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/11, -395, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 4*b**2 - 2*b**2)*(-3 - 2 + 1)*(1 + 0 + 1).\nAnswer: 40*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-5 - -2) + (5 - 8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 809*a - 814*a + 4*z - 2, 15*a + 2*z = -34 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -70003, -70005, -70009, -70015, -70023?\n\"Answer: -f**2 + f - 70003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9517a2 - 45?\nAnswer: -951827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + n**2. Let g(c) = 3*c**3 - 15*c**2 - 18*c - 14. Let t(k) = g(k) + 4*z(k). Let v be t(-9). Is v smaller than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34.962 + 35. Let v = s - 26.038. Let w = -25.7 - v. What is w rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + sqrt(325) + sqrt(13) + (sqrt(13) - (sqrt(208)*2)**2) + 5.\nAnswer: -831 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*m**3 + 48642*m**2 + 120231 wrt m?\nAnswer: -9*m**2 + 97284*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4459.8 rounded to the nearest 100?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (-15)\/(-10)*30\/27. Let h = -31.74 + 31.7. Which is the third biggest value? (a) -2 (b) n (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-3 - (-8 - -3) - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 112 = 4*t + 3*k, -3*t + 5*k = -84. Let g = 8 + t. Calculate the remainder when g is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -146?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 + (-5 - 3))*-2. Let n(r) = -r**2 + 4*r - 5. Let o be n(7). Sort o, -5, i.\nAnswer: o, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 7*q**2 + 8*q + 5. Let h(s) = -s**3 + 60*s**2 - 59*s + 8. Let t be h(59). Calculate u(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (5 + -1 + 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 5:07 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 49, 29, -3, -47?\n\"Answer: -6*h**2 - 2*h + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)*p)\/p**(1\/6))**(3\/16)*p**3\/p*p*p**7*(p**(2\/3))**(-3\/20) assuming p is positive.\nAnswer: p**(1549\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, o: 3, m: 1, r: 1, s: 3, e: 2}. What is prob of sequence mre?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 1.83\nAnswer: 1.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 2, o: 1, k: 1, h: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131890 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xc when two letters picked without replacement from xxaxcccaxxxaxaccx?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/954 and -125\/108.\nAnswer: 5724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/27*6*(-48)\/4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17840768.\nAnswer: 2, 11, 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*d - 5*d + 7 = 0, 4*d = -4. Suppose 16*g = y*g + 76236. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264185?\nAnswer: 5, 52837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*t + 7 - 210, -3*t + 155 = -5*h. Calculate the remainder when 294 is divided by t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -16287.842 to the nearest integer.\nAnswer: -16288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 137.9*2\nAnswer: 275.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g**3)\/g)\/((g**(-2\/17)*g)\/g))\/(g**3\/g**(-2\/7)) assuming g is positive.\nAnswer: g**(99\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i - 3*i**2 + 4*i**2 + 2*i**3 + 0*i in the form v*i + l + y*i**2 + p*i**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/6)*a**(-3\/8))**(-14\/9) assuming a is positive.\nAnswer: a**(91\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 277109284 to the nearest integer?\nAnswer: 16647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 16*f**2 - 6*f + 5. Give x(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5422304 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**5\/90 - k**4\/18 - 3*k**2 + 6. Let b(x) be the second derivative of y(x). Factor b(w).\nAnswer: -2*w*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a minute in milliseconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 172730*b + 345452.\nAnswer: 2*(b - 86363)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 4*n + 2 - 1, 5*n = 20. Suppose -x*g = -g + 5*q + 14, -2*g + 2 = q. Solve u = 5*a + 3, 0 = -0*u - g*u - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/9 - 2)\/(-2). Sort 34, -12, p.\nAnswer: -12, p, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15626.47 days in minutes?\nAnswer: 22502116.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83499 + 276482. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 217 and 175.\nAnswer: 5425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8433*f - 189759 with respect to f.\nAnswer: -8433","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u + 0*u - 2*u + (-2*u + 3*u - 2*u)*(0 - 2 + 0) - 3 - u + 3 + 3 + 0*u + 3 + u.\nAnswer: 4*u + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 12*b**2 - 13*b - 4. Let j be g(-13). Let t be (-1 - -2 - 0)*1. Sort -5, t, j.\nAnswer: -5, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 32. Let o = r - 15.954. What is o rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, -47, 1, 4?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -24. Let h be (4\/(-1) - y)\/3. Let l = -15 - -19. Solve -3*c + c + l = h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15f10 (base 16) to base 14\nAnswer: -24a76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1840483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 466, 875, 1466, 2329, 3554, 5231?\n\"Answer: 15*l**3 + l**2 + 301*l + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4*2*sqrt(119) - sqrt(119))\/(sqrt(63)\/(sqrt(9)*1))*-3)**2.\nAnswer: 269892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, 2, 5, -3 in descending order.\nAnswer: 5, 2, -3, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1539) - (1*sqrt(1539) + 0)) + sqrt(1539) - (sqrt(1539) + sqrt(1539)*-2)*-6) + sqrt(1216)*-3 + -5*sqrt(171))**2 + -2.\nAnswer: 134062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -7*y**6\/120 + y**5\/4 + 3*y**2. Find the third derivative of p(v) wrt v.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6105 by 7.\nAnswer: 6105\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 41. Let j be b(-17). Let f be -1*(-2 + 1) + 2. Find the second derivative of 7*u + 56 - j*u**f - 56 wrt u.\nAnswer: -42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**3\/6 + 57*d. Let g(o) = 3*o - 4. Calculate g(h) + 4*r(h).\nAnswer: -h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 444528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 177 + 3899*s - 139 - 38 to w*s + u and give w.\nAnswer: 3899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183468796 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -109*m**2 - 4*m - 1. Calculate j(-1).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-2*r + 4*r - r) + 2220 - 4435 + 2213 - 582*r.\nAnswer: -584*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 372*a**2 + 5015*a + 3754. Determine f(-385).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q - 5. Suppose 29 = -2*n - n - 5*h, -2*h - 23 = 5*n. Let r be (n\/(-6))\/(1\/(-12)). Give v(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1 - (-18)\/(-4))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -539 or -536?\nAnswer: -536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -384420 divided by 1290?\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.0855ng in micrograms?\nAnswer: 0.0830855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*b - 98*b - 58 = 0. Suppose -56*k = -b*k + 4. Solve 3 = r + k*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -459769691, -5.\nAnswer: -459769691, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**4\/24 - 2*c**3\/3 + 2*c**2. Let b(n) = -1. Let s(j) = -2*j**2 + 2*j. Let g be s(2). What is g*b(u) + x(u)?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is c2 (base 16) in base 13?\nAnswer: 11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 2*p**2 + 167*p. Let w(q) = 4*q**2 + 168*q. Give -2*l(z) + 3*w(z).\nAnswer: 2*z**3 + 8*z**2 + 170*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1062 and 1298?\nAnswer: 11682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 1. Suppose 4*t + t = 0. Let y be l(t). Which is the smallest value? (a) y (b) 1 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -177 + 5*(-4)\/(-10). Let t be (53\/2)\/(6\/(-4) - -1). Let g = t - h. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 v when three letters picked without replacement from {r: 1, v: 3, t: 1, i: 2, a: 3}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -58449 and 38.\nAnswer: -2221062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1354790 is divided by 1129.\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = 86*o - 349 - 243 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.8827 - -0.03772?\nAnswer: -23.84498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -4, -1, 210.\nAnswer: -5, -4, -1, 0, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppbpppbbbbbippp. Give prob of sequence bi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**2 + 940*c - 940*c. Let z(r) = r. Give x(z(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 149, 785 in ascending order.\nAnswer: -0.2, 149, 785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -26 - 214. Suppose 0 = 3*m + 5*b - 113, 0 = -2*m + b - 49 + d. Suppose -6*p + 5*p + 90 = 0. Calculate the greatest common divisor of p and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 35 = 2*z - 25, -5 = -2*a + z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 12 = 4*d, -2*d + 0*d + 20 = 4*c. Suppose -6*j = -44 + d. Suppose -j*m = -m - 390. List the prime factors of m.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (5 + -6 + 2)) + 160. Let g = c + -152. Is 10\/3 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2\/17 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19462 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -7*o - 3. Suppose -4*t = t - 2*t. Suppose t = 3*y - 14 + 2. Suppose -b = -4*a - y*b - 8, -3*a = -4*b + 6. Calculate r(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4174331, -4174330, -4174329, -4174328?\nAnswer: -4174327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*k + 17*k + 25*k)*(2*k**3 + 2*k**3 - 2*k**3) + k**4 - k**4 - k**4 - 5 - 2*k**4 + 5.\nAnswer: 47*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y = -3*h + 4, 2*y + 6 = 136*h - 276*h + 141*h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 20090, 12, 1, -2 in ascending order.\nAnswer: -2, 1, 5, 12, 20090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*w - 66*w = 99*w - 8321852. Is w a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 103*d**9\/252 - 796*d**5\/15 - 4810*d**2. What is the third derivative of m(f) wrt f?\nAnswer: 24720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-2))\/((-47)\/((-893)\/114)). What is the closest to -2.8 in -2, -0.2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v. Let s be q(1). Put 2, s, -5 in decreasing order.\nAnswer: 2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + g = 94, 180090*i - 12922 = 180092*i - 136*g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 632561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 + 76*s - 63*s + 10*s**3 + 9*s**3 wrt s?\nAnswer: 114*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-805)\/(-69))\/(35\/90)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z + 2655 = 0. Let o = 1353 + z. List the prime factors of o.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 875*g**2 + 2*g*w**2 - 31*w**2 - 3*w + 2 wrt g?\nAnswer: 1750*g + 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 152?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3 - 13 = 0. Solve 2*i - y*g = g, -i + 2*g = -1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 16*c - 56, 132094 = -5*m - c + 132312 for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 41 = 4*t, 18*t - 69185*m + 69184*m = -199 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, -0.4 in ascending order.\nAnswer: -9, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274799?\nAnswer: 7, 37, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*k = -10181 - 23749. List the prime factors of k.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y**5\/2 + 1460*y**4 - 50101*y**3\/2 + 4012*y**2 + 15606*y + 3960 = 0.\nAnswer: -132, -2\/5, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/21)\/((-20)\/(-12) - 2). Let t be 6\/(-4)*(-148)\/(-6). Put 1\/4, t, a in descending order.\nAnswer: a, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 112*s**2 + 3*s**3 + 21*s**2 + 8*s**3 - 26*s**3 + 16*s**3 to the form k*s + p*s**2 + t + q*s**3 and give p.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -169119*x**2 - 65*x + 266. Let d be s(3). Round d to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2408389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*o + 305 + 761 + 358 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52878760 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 11 - 2*o**3 - o**2 - 2 to s*o + j*o**2 + c + b*o**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 292324 and 642?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.59 - -0.59196. Round k to 4 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 7*j**2 + 6. Let d be r(-7). Suppose -d*u + 105 = -u. Suppose -4*c = -7*c + 5*y + 67, -c + 2*y + u = 0. List the prime factors of c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-5)*(-1)\/(-4)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2458216 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39720400 rounded to the nearest one hundred thousand?\nAnswer: 39700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1005945 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -649 and -689 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 2148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 75 = 4*z, -z + 55 = z + 5*d. Let w = z + 13. Calculate the remainder when w is divided by (16\/(-5) + 2)*-5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6033769 != -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/7)\/c)\/(c*c**(-1)))\/(c**(-1)*c**(2\/7))*(((c*c**(1\/4)*c)\/c)\/c)**(-1\/3)\/(c**(-4)*c**(-2)) assuming c is positive.\nAnswer: c**(485\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o + 144 = -16*o. What is the third biggest value in 0.4, 2\/3, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxxf when four letters picked without replacement from {f: 2, x: 3, b: 5}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2064 is divided by 90?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3853463438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-76)\/(-14) + 3\/(-7). Suppose -21 = -a*t - 16. Are t and 2\/45 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3 = 9. Find the third derivative of 14*i**2 + 0*i**3 - 10*i**2 + 0*i**3 - c*i**6 wrt i.\nAnswer: -720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/7 in 0, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27810 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26867747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 57580*j - 14389*j + 13*j**3 - 14406*j - 14390*j - 14395*j.\nAnswer: 13*j**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 643251?\nAnswer: 3, 7, 30631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 + -60. Suppose -325*q - 4*q**4 + 166*q + 167*q - 8*q**3 + k = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 45 + (803 - 871).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.129869121 to five dps.\nAnswer: -0.12987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.622 to 1 decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((5*(sqrt(77) - (sqrt(77)*1 - sqrt(77))) - (-4*-2*sqrt(77) - sqrt(77) - sqrt(77)))\/(((sqrt(11) - sqrt(55)\/(sqrt(5)*-2)) + sqrt(11))*6))**2.\nAnswer: 28\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-130)\/585 + (-182)\/(-9) + -1. Let s(t) = -116 - k*t**2 + 116 + 35*t**2. Let c(h) = 21*h. What is c(s(j))?\nAnswer: 336*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 24*t + 57. Let g be w(-26). Suppose -2*l + 173 = -m, -13*l + g*m = -9*l - 343. Is l a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + d + d**2 + (0*d - d + 2*d)*(0 + 0 + 2*d) + d**2 - 4*d + 4*d - 2*d**2 + 17*d**2 + 0*d**2 + 5 - 2*d**2 - 5.\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 119281\/(-4724)*(-4)\/(-1)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -68 - -1\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from {n: 2, a: 1, i: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + 9136*n - 64047. What is d(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -4, -3\/10, -456?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000412319 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*l + j + 396, -2*j + 660 = 5*l. What is the remainder when l is divided by 72?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -3.1?\nAnswer: -12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 338572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.0000137 + 17. What is i rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 460 - 933. Let h = -7 - t. What are the prime factors of h?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*f = -2, m + 4*f = 6*f. Suppose -m*l - 73 = 17. Let r = -23 - l. Calculate the lowest common multiple of 6 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 40633?\nAnswer: 40633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 9 - -2 - -5 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.2, 17\/3, -2\/9, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697 is divided by 174.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 + 4945*y**3 + 1220750*y**2.\nAnswer: 5*y**2*(y + 475)*(y + 514)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-18)*(-10)\/(-35).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + dbe?\nAnswer: dbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -7.6069, -299?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -44330.882 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by -10?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttntyltnlttnzz. Give prob of picking 1 z and 2 t.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 57.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 + 60*w + 18. Let d be x(-17). Let m = -135 - d. Solve -16 = -4*c - m*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**4\/12 + a**3\/6 - a**2\/2 + 2*a - 5. Let l(f) be the first derivative of t(f). Let h be (-8)\/(-3) - 4\/6. Determine l(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + -3 + sqrt(343) + 0 + sqrt(343) + -2 + (2*sqrt(343) - sqrt(343)) + -1 + -3)**2.\nAnswer: -336*sqrt(7) + 3151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3225 by -129.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (28 + (-38 - -19) - 24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128 - -131. Solve 2*u = w*v + 3, 2*u + 3*u + v = 16 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 554 minutes after 4:45 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1370*u + 1390*u - 5 + 5.\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*h**2 + 110*h**2 - 70*h**3 + 0*h**3 - 310*h**2 + 104*h**2.\nAnswer: -70*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5)*(w*w*w\/(w\/(w*w**(4\/11))))\/w)\/(w**(-17)\/w*w*w**(5\/8)\/w) assuming w is positive.\nAnswer: w**(8773\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*c - 5*c, -c + 5*h = 0. Suppose -8140*v + 8152*v + c*v**2 - 3*v**2 + 15 = 0. What is v?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -187 - 143. Let l be 3 + -3 + (-8)\/(-2). Suppose -l*z + i = -2*z. What is the highest common divisor of 22 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3600 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - (-44 - -9)) + (16 - -5)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 172*j + 176.\nAnswer: -4*(j - 44)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-1\/6)*s)\/s)\/s**(-28)*s**(-26)*s*s*s**(2\/3)\/s)**(-2\/5) assuming s is positive.\nAnswer: s**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-100 + 46 - 70)*(v + 4*v - 3*v)*(-3574 + 3574 + 97*v) as i + m*v**2 + y*v and give m.\nAnswer: -24056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**2\/2 + 12*d + 1. Let l be n(4). What is the units digit of 336\/l*(-1)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 4. Suppose -14 - 11 = -b*o. Suppose 2*k**2 + o + 15 - 2 - 15*k + 3*k = 0. Calculate k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5)*v**8\/v*(v**1)**(-2\/17) assuming v is positive.\nAnswer: v**(32\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, -9, -20, -41, -78?\n\"Answer: -i**3 + 4*i**2 - 12*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -912107 + 0.11?\nAnswer: -912106.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24899605103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -52, -99, -132, -145, -132, -87, -4, 123?\n\"Answer: j**3 + j**2 - 57*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 11 + 2 + -15 + (-2 - -1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*z - 43*z + 3*z + 104*z - 58.\nAnswer: 178*z - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.0787, 2, -2\/3, -2\/11, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3755334 divided by -1122.\nAnswer: 3347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - (-2548)\/(-18))\/((-20)\/(-2105)). Let w = -14473 - k. Find the common denominator of -113\/18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-2\/7))\/((t*t**(2\/59))\/t*t*t))\/(t\/t**(-23)*t**(-1\/4)*t*t))**(-37) assuming t is positive.\nAnswer: t**(1654603\/1652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 68?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (63\/(-36))\/((-1)\/324). Calculate the highest common divisor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1095937\/14692032 - 3\/51014. What is the common denominator of d and 67\/32?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 83900000 to the nearest 1000000.\nAnswer: 84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648367 is divided by 1649.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 + -58. Let r be (-20)\/8*(-10)\/5. Suppose 5*t - 2*g = 112, -t + 83 = s*t + r*g. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 5)*(2*u - 5*u + 2*u)*(7 - 37 - 34).\nAnswer: -384*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7693, -7696, -7699?\nAnswer: -7702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4132717 is divided by 6358.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/11))**(6\/31)*(x**(1\/7))**35 assuming x is positive.\nAnswer: x**(1711\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -2\/5 (c) 7.64 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 12:01 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1.1, 2\/19, -3\/5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6795983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*b**2 + 857 + 36*b**2 - 857 - 84*b**2 - 67*b**2.\nAnswer: -160*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**3\/3 - 3*i**2\/2 - 3*i + 2. Let s be u(-2). Let y(h) = -3*h**3 - 2*h**2 - h. Let k be y(s). Solve k*r = -2*r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -15*c - 101. Let u(l) = 8*l + 49. What is 6*h(b) + 11*u(b)?\nAnswer: -2*b - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2356442*l**2 + 1163767*l**2 + 2431398*l**2.\nAnswer: 5951607*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/7 + 45408*d\/7 - 590980\/7.\nAnswer: 4*(d - 13)*(d + 11365)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 362553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52043666 divided by 2.\nAnswer: 26021833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 8*z + 0*z**2 - 3*z**2)*(-2 + 4 - 1).\nAnswer: -2*z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 17*m**2 - 3 + 44*m**3 - 13*m**2 - 45*m**3 - m. Determine a(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 + 19 = -f. Let m be 3\/f*15\/(4 + -9). Is m equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**3 - 207*h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (-22 - -17) - (-9 - -3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 1:35 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/252*-1)\/(66\/18*(-2)\/(-11))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u. Let o(m) = -2*m + 3. Let w(i) = i**2 + 3*i + 1. Let j be w(-1). Calculate j*o(r) + 3*s(r).\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/42*42\/6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568623?\nAnswer: 3, 11, 17231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 38*k - 237. What is z(8)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11094 is divided by 5343.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4140 + -4140.3. Sort -1\/10, v, 87 in ascending order.\nAnswer: v, -1\/10, 87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49013837.\nAnswer: 59, 830743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 7. Let a(u) be the third derivative of -5*u**4\/24 + 7*u**3\/6 - 4*u**2 + 24. Calculate a(x).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 18 = 21*s. Which is bigger: 4 or s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 14\/11 (b) 0.2504 (c) -25\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287, -583, -893, -1223, -1579, -1967, -2393?\nAnswer: -2863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.412 + -0.812. Let p(k) = k**2 - 4*k + 5. Let f be p(6). What is the smallest value in -2\/7, b, f, 2\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32312552?\nAnswer: 2, 4039069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 - 124 = -k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 45.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 1. Let k(b) = b**2 + b. What is -3*c(p) + k(p)?\nAnswer: p**2 + 4*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**3\/6 - 2*z. Let m(s) = -5*s**2 + 4*s - 4. Let q(c) = 11*c**2 - 9*c + 9. Let h(n) = -9*m(n) - 4*q(n). What is h(p(t))?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -11 + 9 - 3*u + 2*u**2 - 37 - 6*u. What are the prime factors of n(-25)?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6569.9 rounded to the nearest one hundred?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1674, -1678, -1684, -1692, -1702?\nAnswer: -1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822220.\nAnswer: 2, 5, 7, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15\/26 - -1\/13. Is g at least as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 6:48 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7181, 7172, 7163?\n\"Answer: -9*d + 7190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 4*g + 10 + (-4*g + 0*g + 2*g)*(1 - 3 + 0) - 3*g + 5*g - 3*g to o + w*g and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -37*u - 1403. Let i be v(-38). Solve -33*r + 24 = -38*r - j, -2*j - 20 = i*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -631*f. Let p(z) = -2*z**2. Calculate r(p(s)).\nAnswer: 1262*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4383.\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**4\/2 + 1652157*i**3 - 2729629361269*i**2\/2 + 5459238896670*i - 5459232288050 = 0?\nAnswer: 2, 1652155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7226, -28901, -65028, -115607, -180638, -260121, -354056?\n\"Answer: -7226*f**2 + 3*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3939 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 - 26*v - 190*v + 27*v.\nAnswer: 3*v**3 - 189*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by 36\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(612) + sqrt(612) + sqrt(612) + 0) + -2 + (-2 + (sqrt(1088) - (1 + sqrt(1088))))*6)**2*-5*6.\nAnswer: -4143000 - 108000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - s - 7. Let y be m(4). Suppose y*z + 2 - 32 = 0. Suppose 3*b = -4*p - 11, -4*b + 8 = -2*p - z*b. Solve o + 5 - p = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 4. Let w = 33.9 + -36. Let i = w - a. Round i to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b + b = 21*b - 4004. What is the remainder when 206 is divided by b?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*32\/10)\/(50\/375). What is the greatest common divisor of s and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 11, j: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*u + 8, -2*q + 2*u = -1 + 5. Suppose -b = -q*b - 2. What is the second derivative of s**2 + 4*s + 0*s - 2*s**b wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*3 + 2)**2.\nAnswer: 108*sqrt(5) + 3649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**4 + r**4 + 0*r**4)*(4*r + 7*r - 35*r).\nAnswer: -48*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 5*r + 5. Let o be v(5). Suppose -o*s + 0 = -15. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - h + 0 + 0*h - 4 + 11 + h**3. Let y be (-3 + 2 - 1) + 2. Suppose -4*i = -y*i. Calculate j(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2 = -10. Solve 2*h = w - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163294 is divided by 159.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (2 - 23)) + 2. Let k be (5 - 6)*(4 - (12 + -3)). Suppose o + 4*o - 90 = -k*m, -54 = -3*m - 4*o. Calculate the greatest common factor of m and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.05388 and 12038719.\nAnswer: 12038719.05388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 2 = 3*b, -5*s - b = -498. What is the highest common divisor of 81 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(4\/5))**46\/(o**(2\/15))**(-3\/16))**(-3) assuming o is positive.\nAnswer: o**(-4419\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1680159*f - 2961*f**2 + 1680159*f.\nAnswer: -2961*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 29*y**2 + 3*y + 1076. Let d(v) = 39*v**2 + 4*v + 1078. Calculate 3*d(g) - 4*w(g).\nAnswer: g**2 - 1070","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 159527031?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 + 6 - 56)*(t**3 - 336*t**4 + 335*t**4 + 18*t**3) to q*t**3 + z*t**2 + r*t + b*t**4 + v and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1185, 2342, 3489, 4620, 5729, 6810, 7857?\n\"Answer: -t**3 + t**2 + 1161*t + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c - 2. Let o be (-2)\/(-8) - 4\/16. Suppose 5*k = 2*d - 9 - 11, o = -2*k - 2*d - 8. Give f(k).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 100*j - 1381. Let b be z(14). Solve 5*w + 22 = -4*v, b*w + 5 = -v + 18*w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -75*o**2 - 39*o - 45. Determine s(2).\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.8 (b) -2\/13 (c) -2\/19 (d) -1 (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 32*a + 31 = 28*a, 2*x = 2*a + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t. Let q(s) = s + 31. Let f(x) = x + 32. Let z(i) = 4*f(i) - 3*q(i). Calculate z(o(l)).\nAnswer: l + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(-5\/7)\/d)\/d)\/d)\/d**21)\/(d**(-1\/6)*d**(-9\/4)) assuming d is positive.\nAnswer: d**(-1873\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 8 (c) -4 (d) -3\/40 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -544 and 34.\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/((-1 - 3)\/(-84)). What is the highest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*i - 5 = 0, -92*d + i - 15 = -94*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2241*l**4 - 8754*l**3 - 183250*l**2 + 551 wrt l?\nAnswer: -53784*l - 52524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6701\/9? (a) -13 (b) 3 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y - y + 2*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3*(-45096)\/36)\/((-4)\/6)?\nAnswer: 3, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -300*z**2 - 302*z**2 + 5*z - 4 + 901*z**2 - 288*z**2 - z**3 to o*z + c*z**2 + b*z**3 + j and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 4*c + 3. Let b be u(-4). Suppose 44 = 5*z + b*x - 104, -4*x - 112 = -3*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23190 + 114810. What is z rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 181 + -157. Solve 2*i - 4*i + 3*y + 11 = 0, 0 = -5*i + 4*y + j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4\/7 + 16*q**3\/7 + 566*q**2\/7 + 2708*q\/7 + 3312\/7 = 0. Calculate q.\nAnswer: -9, -4, -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -j + 2*n - 8, -2*j + 4*n = 8. Suppose -1 + j = 3*i. Let l = 9 - i. Solve -2*t = -5*a + 20, t - 2*a = 4*t - l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.651278 * -23.\nAnswer: 14.979394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 274935.9 hours to milliseconds.\nAnswer: 989769240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -50*z**2 - 836*z + 239. Give w(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*t + 8. Let f be (-2)\/4*t\/1. Suppose 0 = -5*u + 20, -3*g + 6*u - f*u + 41 = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 2 (c) 22\/105 (d) 0.2 (e) -3 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnaiihhsnnmmaa. What is prob of sequence hnha?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k - 1. Let z be j(-8). Let o = z - -9. Calculate the highest common factor of 16 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 51*a. Let u = 91 - 193. Let s(k) = -k**2 + 7*k + 15. Let g be s(9). Let f(m) = -2*m. Let w(p) = g*r(p) + u*f(p). Let q(v) = -v. Calculate q(w(j)).\nAnswer: -51*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 64*x - 30*x - 32*x. Let f(q) be the second derivative of 2*q**4\/3 - 5*q. Determine f(y(o)).\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-30)*(-3)\/2. Let i be ((-4)\/36)\/(5\/3). Let h = 2\/3 + i. What is the second smallest value in 1\/7, v, h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226121 (base 7) in base 13?\nAnswer: -155b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 7*k + 88. Is 8 a factor of (-334)\/k + (-8)\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 123 and 5?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120648 and 9592.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v**3 + 4*v**2 - 4*v. Let j(b) = -b**3 + b**2 - b. What is -4*j(i) + o(i)?\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -261517049.9 to the nearest one million.\nAnswer: -262000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 6 + 4. Let y = k - -38. Let t = y + -25. Solve -7 = d + z, -2*d + z - 8 = -t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 + 10*z)*(-1 + 2 - 3)*(-5*z - z + 0*z)*(2 + 0 + 0)*(8 - 2 + 7).\nAnswer: 3120*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(6 - 5 + 0)*(-3*j + 4*j**2 + 3*j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {s: 2, w: 6, m: 2, n: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z. Let h(n) = -57767*n**2. Calculate v(h(w)).\nAnswer: -57767*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4190 divide 557482419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/126 and 38\/7.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47343.69 weeks to hours.\nAnswer: 7953739.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -144 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*z + 37*z + 0 + 0.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 68 - 37*y - 14*y**2 - 29*y - 48 = 0. Calculate y.\nAnswer: -5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 6*w - 10. Determine a(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and -35.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -53 (b) 1\/12 (c) 2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60cc18 (base 14) to base 3.\nAnswer: 20010201221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3320 + 122?\nAnswer: -3154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kao when three letters picked without replacement from {o: 3, k: 3, a: 6, q: 1}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61.3726 + -60.7. Let h = v + -0.67. Round h to 4 decimal places.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 18 (b) -3 (c) 10\/3 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 8*n + 13. Let p be ((-36)\/20)\/((-1)\/5). Let v be z(p). Solve v - 12 = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 13*c**2 - 39*c + 10. Let j be w(8). Suppose 0*p - 2*p + 18 = 0. Calculate the highest common factor of p and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (160\/(-71456))\/((-19)\/(-33179)). Let u = -4\/3857 - v. Find the common denominator of u and 4\/(-3)*(-74)\/24.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(40\/5))\/((-2)\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 28234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 11*g**6\/6 + g**3\/2 - 13*g**2 + g + 22. Find the second derivative of b(o) wrt o.\nAnswer: 660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2429723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6804 and 20736?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + -557 + (2 - -1). Let z = u - -7781\/14. What is the common denominator of -113\/10 and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46.7 + -5.7. What is the third biggest value in 0.3, -1, w, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89\/470 - 1\/94. What is the closest to 2\/3 in k, 0.3, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 179.8 and 9.3?\nAnswer: 1672.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 294095093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*a**2*f**2*i**3 - 7*a**2*f**2*i**2 + 4*a**2*f*i**3 + 2*f**2*i + f*i + 2*i**2 wrt i?\nAnswer: -144*a**2*f**2 + 24*a**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -417*q - 417. Let n(a) = -17*a - 3. What is 4*h(s) - 556*n(s)?\nAnswer: 7784*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -151 + 154. Determine g, given that -1\/4*g**k - 3*g - 2 - 3\/2*g**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 7*p + 4224 = 4*p, p = -4*o + 3369. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v + 5*v - 5*v + (-2 + 1 + 2)*(0 + 0 - 3*v) - v + 4*v - 2*v + (0 + 0 + 1)*(0 - 2*v + 0) in the form p + q*v and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 5*t + 20, d - 12 = 4*t + t. Suppose 3*p - o - 34 = -2, 5*p = -d*o + 35. What is the remainder when 16 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.22? (a) 0.1 (b) 0.05 (c) 0 (d) 171 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n + 14. Let a be u(10). Suppose 0*w - a = -w. Suppose -w = -y + 35. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/5? (a) -9 (b) -1\/6 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 478762, 480156, 482480, 485734, 489918, 495032, 501076?\nAnswer: 508050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17794165 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1338*b**4 + 820*b**2 wrt b.\nAnswer: 32112*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 521598 to the nearest integer?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2 - 45*x + 21762 = 0.\nAnswer: -93, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -204858300 divided by -2\nAnswer: 102429150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, -29, -2, 344 in decreasing order.\nAnswer: 344, 101, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/(-1100))\/(-1))\/(((-8)\/(-44))\/((-144)\/(-198)))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -17 - -20 - (-5 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 83. Calculate the lowest common multiple of 20 and p.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/7, 1, 10\/11?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 215, 3?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 676 a factor of 293001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugg when three letters picked without replacement from {u: 18, g: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/6*(-6)\/2. Let g(m) = 2*m - 2*m - u*m + 1. Is g(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 0)*(3*y**2 + 2*y**2 - 6*y**2) + (-497*y - 377*y + 595*y)*(3*y - 2 + 2).\nAnswer: -839*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + 3*l + 0*l)*(-2 + 5 - 5) + 9*l + 23*l + 12*l as z*l + t and give z.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2996.\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 4*v**2. Let k be w(-4). Suppose 0 = -y - k - 3. What is the units digit of ((-26)\/5)\/(y\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.4 * -1.5\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**2 - 92*t - 233. Determine a(25).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0291 to 3 decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*h + 5*h. Suppose h*f = -x, 0*f + f - 19 = -5*x. Suppose -x*b + 17 = d - 0*d, 3*d = -2*b + 1. Solve -4 = -2*p + 5*w - 1, 2*w = b*p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j + 368. Let p = 10 + 22. Suppose -p = 4*h - j. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -776 (base 11) in base 3?\nAnswer: -1021110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -61*m**3 + m**2 + 3. Let l(y) = 123*y**3 - 3*y**2 - 7. Let z be 2 - 5 - (2 + 0). Let k(o) = z*q(o) - 2*l(o). Is k(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(190) + sqrt(190) + sqrt(190) + sqrt(190) + sqrt(190)*2*1)\/(sqrt(70)\/(1*sqrt(7)))*3 + 1)**2.\nAnswer: 72*sqrt(19) + 6160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/47)*p\/p**(-8) assuming p is positive.\nAnswer: p**(421\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -6. Let w = y + -2. Suppose 3*q - 8 = t - 1, 0 = -q + 2. Are w and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -6. Let u be y\/(-9)*1*-3. Suppose -4*t + r = 3 - 7, t = -4*r + u. What is the smallest common multiple of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87 - 347\/4. Let v = -11 - -8. Put y, v, -2\/5 in ascending order.\nAnswer: v, -2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*y - 9121, 3*y = 5*r - 0*y - 45490. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -294.92 + 291.12. Which is the second smallest value? (a) -1 (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76513370 by -3.\nAnswer: -76513370\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 + -1781?\nAnswer: -1761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8 = 3*d, 4*m = -0 + 8. Suppose 0 = d*j - 5 - 1, 4*x + 85 = -j. Is (-4)\/x - 436\/(-22) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 8:20 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.054124 + 466.735876. Let q = u - 491.7961. Let c = q + 25. What is c rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*m - 3*n, 37*n - 5 = -m + 32*n. Let p = -2 - -4. Let l be p*(-3)\/(-2) + 0. Solve m = -3*w - l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1012 and 67\/18172.\nAnswer: 417956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 2:19 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*(-1 + 3*1*(sqrt(147)*-1 + 1 + 1 + (sqrt(147) - (sqrt(147) + -1)) + sqrt(147) + sqrt(147))))**2.\nAnswer: 8400*sqrt(3) + 34680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113*j**2 - 227*j**2 + 49 + 113*j**2 + 191*j**3 wrt j?\nAnswer: 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37920439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/((-252)\/(-175)))\/((-330)\/88)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 + -41. Let k(o) be the third derivative of -o**5\/60 + 5*o**4\/24 - 2*o**3\/3 - o**2 - 187*o. Give k(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 4, -3\/8, -28\/9?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21162, 1500, 0.3.\nAnswer: -21162, 0.3, 1500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -39 and -846727?\nAnswer: 846688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 + -52. Let g = -78 - c. What is the highest common divisor of g and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1230243 (base 8) to base 12.\nAnswer: -144a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 0.5, 32, -5318.4 in descending order.\nAnswer: 32, 0.5, 1\/7, -5318.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 31*g**7\/21 + g**4\/3 - 4*g**2 - 55*g + 2. What is the third derivative of m(i) wrt i?\nAnswer: 3720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3 - 15. Let r(d) = d**3 + 8*d**2 - 10*d + 1. Let g be r(k). Suppose g*m = 12*m. Solve m = -3*t + 6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g - 10. Let f be z(-4). Suppose -4*a = -42 - f. Let u(h) = -h**3 + 14*h**2 + 18*h - 17. What are the prime factors of u(a)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*5\/(-5) - (-2 - 0). Let u(v) be the first derivative of 1466*v**x - 2 + 4*v**3 - 2*v**4 + 3 - 1462*v**2. Factor u(z).\nAnswer: -4*z*(z - 2)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -13 + 5. Let v(k) = -k + 77. Let o(m) = -3*m + 230. Let f(c) = i*o(c) + 7*v(c). Is f(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451015938.\nAnswer: 2, 3, 2784049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2218 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -90, -1 in increasing order.\nAnswer: -90, -10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.873 rounded to 1 decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -170331\/20 + 8519. Let z = -2395 - -4251. Let a = -10985\/6 + z. Find the common denominator of a and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21023234 + 0?\nAnswer: 21023234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f + 5724*f**2 - 5722*f**2 - 293 + 7*f to the form y*f + h + p*f**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 6*j + 5*j. Sort 2, 1, j, -5.\nAnswer: -5, j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 - 31*r + 22. Give s(-23).\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 319*m**2 - 4270*m.\nAnswer: -m*(m - 305)*(m - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m - 2*m)*(-m**2 - 2*m**2 + 5*m**2)*(25 - 25 - 5*m + (-1 + 2 + 0)*(2 - 2*m - 2)).\nAnswer: 28*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43565*k**2 + 38216*k.\nAnswer: -87130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*(sqrt(1088) + 0) + 5)*-1*-6)**2.\nAnswer: -46080*sqrt(17) + 641088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1762.5246 minutes to hours.\nAnswer: 29.37541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f = -3*w - 24*f + 369, -238 = -2*w + 2*f. What is the highest common divisor of 265 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*p - 6, 10 = 2*p - v - 2*v. Let y(i) = 7 - 16*i + 5 - 11 + 0. Does 5 divide y(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -20*z + 1. Let p be q(-1). Suppose v = 5*c + 3*v - p, -c + 1 = 2*v. Suppose c*g = -2*r - 21, 0 = -0*g - 5*g + 5*r. Which is greater: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 784.7131 centuries?\nAnswer: 78471.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.34 in -2.9, 38, -1\/11, -3, 6?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + 8 - (-1 + 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -u - 9. Let f be (1 - 9\/6)*u. Suppose -5*w + 3*w = -f. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**3\/2 + v**2\/2 + v + 8. Give t(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v. Let m(k) be the third derivative of -k**4\/24 - 3*k**2. Let z(f) = 18*m(f) + 2*x(f). Let l(d) = d**2. Give z(l(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33027\/154 - 1527\/7. Let m be 2 + -5 + (-3)\/6. Let w = b - m. What is the biggest value in w, -2\/5, -5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1391.\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1569 + 0.15690242. Round d to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 1190, -6 in ascending order.\nAnswer: -6, 3, 4, 1190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1111 + 2302 + 5*h - 1191 - 2*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -31. Let t be (9\/4)\/(1\/(-24)). Let p be t\/4*2\/(-3). Solve p + r = 5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1115*v = 899*v + 239*v - 2253 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*y - 3)*(-1 - 2 + 2) + (8 + 7 + 12)*(2*y + 3*y - 3*y) to f + t*y and give t.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 11:54 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4*w + 4*i = 17, 24 = 4*w + 4*i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -25 (b) 2\/7 (c) -268 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/7 - (-110)\/7 is divided by 0\/(-2) - (-5 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63.5 or 8\/5?\nAnswer: 63.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -411, -390, -349, -282, -183, -46?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3627618?\nAnswer: 2, 3, 604603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 11:45 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b + b - 2*b)*(b + 0*b - 2*b) + 4*b - 6*b - b - 6*b**2 as p + n*b + w*b**2 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 130 - 67. Suppose 15 = 12*b - 15*b, 5*b + 60 = 5*m. What is the highest common factor of k and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -4)*13\/13. Suppose 3*u - j - 2 = 14, 19 = 4*u + j. Put g, 1, u in decreasing order.\nAnswer: u, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -25. What is the smallest value in -2, b, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 861 = 243*w - 148 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 67 - 66 = 5*i, 5*n + 4*i = 28. Let f(p) = -2*p**2 + 15*p + 11. Determine f(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10908 divided by 5454?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2400012*p**2 - p + 1. Let i be r(1). Suppose 4*y - s = -1925526 - 474478, 4*y - 3*s = -i. Round y to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 557337, 557335, 557333?\nAnswer: 557331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 8*u**2 + 5. Suppose -d - 6 = 2*d + 3*b, 5*d = b - 28. Let s(m) = -11706*m**2 - 1 + 0 - 6*m + 11705*m**2 + 6*m. What is d*s(r) - c(r)?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (5\/15)\/((-15)\/(-405))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14932 + 5918 = 695*c for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -420 - -596. Suppose 7*v = -v + q. Let m(j) = -j + 6. Calculate the least common multiple of m(0) and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/15)\/(k*k\/(k*k*k*k**(4\/9)*k*k)*k))\/((k*k**(2\/7))\/k**(-1\/11)))**(-40) assuming k is positive.\nAnswer: k**(-25904\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3267*i - 1. Let s be u(3). Round s to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 239, 1009, 2283, 4055, 6319?\n\"Answer: -z**3 + 258*z**2 + 3*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -11 (b) 3\/2 (c) -3 (d) 2705\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*m. Factor 0*v + v**4 + v + m*v**2 + 2*v**5 - 3*v**3 - v**2.\nAnswer: v*(v - 1)*(v + 1)**2*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 13*n**2 + n - 2. Determine h(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 467788*t**2 - 233903*t**2 - 233929*t**2 - 3.\nAnswer: -44*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31.226 - 1.146. What is d rounded to zero dps?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 12:10 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13798616?\nAnswer: 2, 13, 132679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*o**4 + 6610*o**3 + 4995*o**2 - 2485*o - 830 = 0. Calculate o.\nAnswer: -1, -1\/4, 1\/2, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -27874 (base 11) to base 7\nAnswer: -223410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*f - w - 133, w - 2 = 0. Suppose -7*m + 250 = -44. Let p = f - m. Which is the biggest value? (a) -1 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -5. Let w be (-1)\/(-4) - 304\/(-64). Suppose -3*v = -v - 3*n - 25, 0 = -v - w*n + 6. Solve 0 = u*z - 3*t + v, t + 4*t = 25 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -2. Suppose -12 = -4*n + 8, 4*c - 35 = -3*n. Suppose -3*k + 5*k - g - 4 = 0, -c*k + 10 = 4*g. Solve -t + k*s - 13 = 2*t, -q = -t - 4*s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k**2 + 21*k + 8. Let p be x(-8). Is 8 a factor of (p\/(-24))\/((-2)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.6 + -0.6. Let t = -0.04 - 0.06. Let j = -2 + -2. Which is the nearest to t? (a) p (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1184 - 1199. Let k(n) = 63*n**3 + 15*n + 15. Let h(g) = -9*g**3 - 2*g - 2. Give c*h(d) - 2*k(d).\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25379 or -47215?\nAnswer: -47215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14041, 14143, 14255, 14383, 14533, 14711, 14923, 15175?\nAnswer: 15473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -1\/2, -1\/4182?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1568 and 924.\nAnswer: 51744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 1)*(2*d**2 + 2*d - 2*d) - d**2 + 2*d**2 - 2*d**2 + (0 + 0 + d)*(-4*d - 2*d + 4*d) + (3*d - 2*d - 2*d)*(4 - 4 - d).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5149*b + 576064. What is w(112)?\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -253 + 391. Let x = u + -237. Let z = x - -98.795. What is z rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-22)\/8)\/11)\/(50\/(-120)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*c - 6, c - 2*b - 3*b - 8 = 0. Suppose i + 72 = 5*d, 0 = 3*d - 0*d + c*i - 54. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(1 - 1 + t)*(-796*t**2 - 227*t**2 + 52*t**2).\nAnswer: 971*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-2 - -1) - (-18 - -18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l = 13*l + 10 - 112. Put -5, l, -52 in decreasing order.\nAnswer: l, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2*(-2)\/(-4))\/(-4 - 45\/(-15)). Sort -14, 5, -4, r in descending order.\nAnswer: 5, r, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 89.97042 years?\nAnswer: 1079.64504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1583 + -1064. Is 25 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49060565?\nAnswer: 5, 19, 59, 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 - 1.1. Put 4\/3, s, 2 in ascending order.\nAnswer: s, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 26, -1\/8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67993 or 68010?\nAnswer: 67993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 5 = c, 2 = 16*c - 18*c - 2*g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -36\/5 (b) -0.1 (c) 0.2 (d) -1\/7 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87 + -81. Let r be 29\/(-174) - m\/(-4). What is the smallest value in r, -2\/21, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 67818 = o. Let p = o + 45267. Let m = p + -35661. What is m rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**3 + 2. Let k be q(-2). Let d(x) = -x**3 - 10*x**2 - 10*x - 7. Let w be d(-9). Suppose -w*y - 23 + 1 = -2*u, 0 = 2*y + 4*u + k. Does 0 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (2 + -1 + (-39 - -1))*-10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + (sqrt(68) - -2*sqrt(68)*5) - (sqrt(68) - (sqrt(68) + (sqrt(68) - -2*sqrt(68))))*-4)\/(sqrt(256)*-2 + (sqrt(4) - 6*sqrt(64))))**2 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3568, -14671, -33166, -59047, -92308?\nAnswer: -132943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4, -11418 = -5*v + 3*g - 0*g. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -42083.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4044)\/(-105))\/(4\/10). Let w = -96 + f. Which is the nearest to w? (a) 3\/4 (b) -2\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12124)\/(-336) + (-1)\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*3\/6 - 39. Let j = -25 - r. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3467 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -491.6769652 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*u = -17 + 6, -5*u = -2*j - 4. Let g be (720\/200)\/(0 + j\/(-5)). Factor -27\/7 - 3\/7*o**2 - g*o.\nAnswer: -3*(o + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3181587911 + 4532082791. Let g = i + -1350493404.000623. Let d = 1476 - g. Round d to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*((-3)\/(-2))\/(1029\/(-784))*-4?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/13 (b) -5 (c) 0.3 (d) 1\/4 (e) -342 (f) 0.16 (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303 - 2394 = -123*f for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 26*y**2 - 46*y + 7. Is n(30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(-10))\/(4\/(-430)) and ((-10)\/(-100)*-58)\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65933987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432278 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 743 divide 4213848544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 308767*z**4 + 122*z**2 - 2*z + 516 wrt z.\nAnswer: 7410408*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3918014297 to the power of 1\/3, to the nearest integer?\nAnswer: 1576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5703022 to the power of 1\/2, to the nearest integer?\nAnswer: 2388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*u - 74*u + 200 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.2, -0.4, -1\/13, -5, 1\/3 in ascending order.\nAnswer: -5, -3.2, -0.4, -1\/13, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express u + 4*u + 3*u + (7*u - u - 3*u)*(7 - 4 - 1) + (-u + u - 2*u)*(3 + 2 - 4) as d*u + r and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 74 and -0.1.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*b + 6*b. Suppose o - 2*r + 1 + 1 = 0, 0 = b*o + 5*r - 5. Suppose o = -6*c + 4*c + 38. Calculate the remainder when 113 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*m - 257082 = -255795 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7374 at most as big as -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 67, 164, 307, 502, 755, 1072?\nAnswer: 1459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 18095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1290 and 1032.\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8183, 16349, 24469, 32543, 40571?\n\"Answer: -23*h**2 + 8235*h - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f + 12. Suppose -3*x + 181 = 163, -d - 5*x = -30. Give b(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -25. Suppose -4*x + 110 + 7 = d*y, x = -y + 28. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + (-50)\/(-5) + (-452 - 0). Let b = 448 + t. Solve b*n + n - 5 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 33*g**3 + 9399*g**2 + 673080*g + 544428 = 0.\nAnswer: -142, -9\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**6\/60 - 33*j**5\/20 + 2*j**4 + 49*j**3\/6 - 18*j**2 + 19*j. Factor f(m).\nAnswer: (m - 49)*(m - 1)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*u - 226688 - 77693 = 4844*u - 426*u for u.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**0*c)\/(c\/((c*c**0*c)\/c)))\/((c\/(c*c*c**(1\/5)*c))\/((c*c**6*c)\/c)))\/((c\/c**(-2\/7))**(1\/2))**(-4\/37) assuming c is positive.\nAnswer: c**(14594\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11883635?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/25 - 11\/10.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1062942 and 2452?\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-5)\/4 - -1). Let r be (-3)\/(-6) + (-10)\/m. Suppose -25 = r*j - 97. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011111001000 + -1001100101?\nAnswer: -100101000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2238, 5, 3, -2 in ascending order.\nAnswer: -2, 3, 5, 2238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -891*t**2 - 2*t**3 + 3*t**3 - 3500*t**4 + 1252*t**4 + 1434*t**4 wrt t?\nAnswer: -19536*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04 (b) 2\/3 (c) 2 (d) -16 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**4\/18 + y**3\/9 + 2*y - 4. Let s(n) be the first derivative of h(n). Factor s(u).\nAnswer: 2*u*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5)\/(-202*(-4 + 3))*6 and -103\/10?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9963352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, 29, -0.3, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.48077551 rounded to two dps?\nAnswer: -8.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.56 - -321.06. Let o = z - 320. Which is the closest to 2\/5? (a) 5 (b) o (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 33 = 5*s, -5*g - 368 = -3*s - 343 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**4\/4 - 2*b**3 - 7*b**2\/2 - 2*b - 1. Let l = -86 - -81. Calculate h(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-7) + (-26)\/42. Let n be ((-160)\/15)\/(50\/18 - 3). Let t be (-1 - 1)\/(n\/(-18)). Which is the closest to l? (a) t (b) 2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 5, -81 in ascending order.\nAnswer: -81, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 2*d**2 + 11*d + 1. Calculate the remainder when 89 is divided by x(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3 - 7691*s**2 - 961120*s - 3721488 = 0.\nAnswer: -7564, -123, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 4:09 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 127?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9281921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5062430 is divided by 2169.\nAnswer: 2153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 2.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 48 = -123. Let h = -8 + l. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**4 + 32*h - 33*h - 2*h**2 + 5*h**2)*(5 + 5 - 2) in the form i + m*h**3 + y*h**2 + v*h**4 + x*h and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -40061, -160015, -359893, -639701, -999445, -1439131, -1958765?\n\"Answer: -n**3 - 39956*n**2 - 79*n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80845301521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 183 + -191. Is (1398\/(-24) - a)*16\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -8*z. Let s(r) = r + 2. Let u(b) = -9*b - 4. Let j(w) = 30*w + 12. Let v(k) = -2*j(k) - 7*u(k). Let f(i) = -2*s(i) + v(i). Give -6*f(q) - g(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + sqrt(180))**2.\nAnswer: -12*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 5504 = 5507, 0 = 3*o + u - 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.374 + 0.074. Let s = 0.3 + b. Let o = 19 - s. Which is smaller: 0.1 or o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*d + 324 = 177 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((46*-23)\/1)\/((-28)\/42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + p + 3)*((-5 + p**2 + 5)*(-3 - 3 + 5) + 181*p - 181*p - 55*p**2 - p**2 + 2*p**2 + 5*p**2) as i + a*p + r*p**3 + z*p**2 and give r.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*w + 16*w - 230 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 2)*(1719*i + 2 - 2592*i + 1195*i - 3) as o + r*i and give r.\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 + 44. Solve -2*h - 4*y = 3*h + 4, n = 5*h + y + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9948106573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 3. Suppose h*m - m = 0. Let p = -134 - -146. Solve -5*l + 5 + p = 2*j, m = -4*l - 5*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (-2)\/22*226. Let t = m - -16726\/737. Let x = -318\/335 + t. Which is the smallest value? (a) x (b) 5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 8. Let z(r) = r**3 - 7*r**2 + 8*r - 6. Is 3 a factor of z(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -895\/11561?\nAnswer: -895\/11561","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*v - 3219 = 74*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 1\/6*f**4 + 0*f**3 + 0 + 1\/5*f**5 + 0*f**2 + 25*f + 1\/15*f**6. Factor b(g).\nAnswer: 2*g**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15600 + -15430.924. Let f = -263 + l. Let g = f + 94. Round g to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 1748*k**2 - 74*k + 3. Is y(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10251\/7 or 1465?\nAnswer: 1465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((252\/(-49))\/6)\/(2\/(84\/27)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.96152 and 1?\nAnswer: -0.96152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1050156 and 124?\nAnswer: 1050156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 k, and 1 o when four letters picked without replacement from wkuwo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -15. Let s(o) = -o + 16. Let r(g) = -2*s(g) - 3*v(g). Let u be r(-9). Which is the biggest value? (a) u (b) 1 (c) 0 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 6*s. Suppose s*i = 3*i. Suppose x + 0*x - 3 = i. Sort 1, x, -1.\nAnswer: -1, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r - r + 0*r)*(3 - 4 + 5 + (3 + 2 - 7)*(0 - 2 + 1) - 3 + 4 + 0 + 0 + 3 - 4 - 7 + 8 + 13) to the form k*r + g and give k.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7985, -34666, -80027, -144068, -226789?\nAnswer: -328190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*p + 35*p = -8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -33. Suppose -j*i + 9*i = 6. Let u be 2 + (-1 - i - -10). Which is bigger: u or 8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 14682*r**3 + 15*r**2 - 23*r + 29. Is k(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(-5)\/120*4. Suppose 5*f - f - 20 = 0. Which is the second smallest value? (a) f (b) 1\/6 (c) 2\/9 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ellelee. Give prob of sequence el.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*j + 1107*j**3 - 3*j - 2749*j**3 - 28*j.\nAnswer: -1642*j**3 - 58*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 3*s - 7. Let r = 7 - -8. Suppose t + 5*k = r, -2*t - 6*k + k + 20 = 0. What is z(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1786, -3764, -5742?\n\"Answer: -1978*w + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7856, -7, -4872 in decreasing order.\nAnswer: 7856, -7, -4872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (2 + 31)*(33\/4)\/((-12)\/(-288))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108482121*h**5 + 217167930*h wrt h?\nAnswer: -2169642420*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 + 11 = -5*g, -5*d + g = -30. Suppose 4*q + d = 3*q. Which is smaller: -4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/20 and 25\/738.\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, k: 2, i: 1, f: 4, y: 1, n: 2}. Give prob of picking 1 q and 1 y.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*f**2 - 47*f**2 + 17*f**2)*(-f - 6 + 3*f - 4*f) to l + y*f + q*f**3 + s*f**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 817772 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -66 and 5?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -11\/4, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 541\/(-76) + (-55118)\/(-7112)?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*w - 424 - 2141 = 0, 4*w = c - 490. What are the prime factors of c?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.1 + -25. Which is the third biggest value? (a) -5 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 68*t - 17. Let x(w) = 23*w - 6. Suppose 5*d - 15*s + 12*s = -97, 2*d + 2*s + 26 = 0. Calculate d*x(l) + 6*h(l).\nAnswer: 17*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 1:48 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*k + 7*c, 468643*k = 468640*k - 5*c + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79350 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/12 and 2*(-110)\/288 - (-2 - 0).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -962334, -962330, -962326?\n\"Answer: 4*t - 962338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23388 and 3734284?\nAnswer: 7796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + -4.9. Let x = -292 + 292. Which is the nearest to 1\/4? (a) 4\/5 (b) x (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432310?\nAnswer: 2, 5, 17, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548 is divided by 255.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.45, -5, 4, 22\/3, -1 in descending order.\nAnswer: 22\/3, 4, -0.45, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 5) to base 2.\nAnswer: -1001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 2*l + 4. Calculate f(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248197 + 72859 = -5365*k + 1955*k + 3926 for k.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 3 - (5 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -690, -708, -730, -756, -786?\n\"Answer: -2*l**2 - 12*l - 676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from qrmvw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 19192, 45, -2, 3, -4 in ascending order.\nAnswer: -4, -2, 3, 5, 45, 19192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/12 (b) 0.2 (c) 207\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1, 374\/555, -1\/2, -3\/5 in ascending order.\nAnswer: -3\/5, -1\/2, -0.2, 374\/555, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 8 = 0, 3*a + 2*a + 2*d - 17 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 505 + 5477 = 0. Does 6 divide 2\/(-15) - u\/165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2. Let t(m) = -2476*m + 1. Calculate a(t(b)).\nAnswer: 6130576*b**2 - 4952*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -201 (c) 1 (d) 56 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 14 - 21. Suppose -3*f + c = -8. Solve 2*n - 10 = f*d, 5*n - 5*d + d + 9 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 4. Let s(f) = 3*f**2 + 2*f + 1. Let p be s(x). Solve 4*d - p*t = 10, -t + 2 + 3 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 856535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-371)\/(-795))\/(3\/45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, h: 2}. What is prob of sequence nh?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**3 + 275*l**2 + 69*l - 184. What is f(69)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 23*u + 16. Is m(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1874 is divided by 309?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (260\/39)\/((-1)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 617815 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263937709?\nAnswer: 17, 41, 337, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -71 - 4\/(1 - 3). Let b = 115 + c. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 14) in base 7?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1.9, 2, 4 in ascending order.\nAnswer: 0.1, 1.9, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/9 - 2\/(-3). Let v = -6 + o. Let h(z) = z**3 + 5*z**2 - z. Let t be h(v). Solve 5*f + 27 = -u, 0 = -5*f - t*u - 29 - 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s - 5. Let j be k(4). Suppose -2*y - w = -4, j*y - 4*w = 6*y - 6. Solve -4*f - 2*a = -7*a - 45, 0 = 5*f + y*a - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 222 - -9. Calculate the greatest common factor of y and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axaaaxqapyyaxpxpyl. What is prob of sequence pp?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2. Let f = 290 - 288. Let s(w) be the third derivative of 0*w**3 - 1\/12*w**4 + 0 - 7*w**f + 0*w. Calculate b(s(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 4*r**2 + 129*r - 389. Let j be l(3). Solve j - 13 = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u - 3*u**2)*(-3*u**3 + 0*u**3 + u**3) + ((-6*u**2 + 3*u**2 + u**2)*(2*u - 3*u + 2*u) + u**3 + u**2 - u**2)*(-13*u + 13*u - 8*u**2).\nAnswer: 14*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 + 67. Let c = -53 - x. Put 0.2, c, -0.27, 3\/2 in increasing order.\nAnswer: -0.27, c, 0.2, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -11. Let w = -1967 - -1965. Let a = -6.8 + 6. Sort w, j, a in descending order.\nAnswer: j, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, -1\/6, 3\/2, 2, 42?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllsslllt. What is prob of picking 1 l, 1 s, and 1 t?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1503*a**3 + 538*a**3 - 2750*a**3.\nAnswer: -3715*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + 4*sqrt(12))*-1)\/sqrt(6) + (sqrt(242) - (0 + sqrt(242) + -3)).\nAnswer: -5*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22608707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -4. Let y = -1 - f. Suppose 0*j**2 + j**2 - 3 - j**4 + y + j**2 = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 42*m - 158. Determine u(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -23. Let n = d - -9.2. Round n to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -27185, -54352, -81519, -108686, -135853?\n\"Answer: -27167*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28455 is divided by 813?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3 + 36*q**2 - 159*q + 124 = 0. Calculate q.\nAnswer: 1, 4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 482885 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*t + 16. Let z(q) = q**3 + 10*q**2 - 42*q - 11. Let d be z(-13). Let a = d + t. Solve -5*p - a = -j, -3*p - 2 = j + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63*r**2 - 3*r**5 + 64*r**2 - 4*r**3 - 63*r**3 + 7*r - 181*r**2 + 66*r**2 wrt r?\nAnswer: -180*r**2 - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 57.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, c: 15}. What is prob of sequence bc?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 60 + 284 = 0. Suppose g*n + 10 = 42*n - 3*p, 2*p = -4*n. Find w such that 12\/7 - 3\/7*w**3 - 3\/7*w**n + 12\/7*w = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*g**5 - 6*a*g**4 - 57*a*g + a - 2*g**3 - 1 wrt g?\nAnswer: -40*a*g**3 - 72*a*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00182 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, r: 3, b: 2, t: 8}. Give prob of sequence ztz.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*d + 1 = -4, -4 = 4*d. Calculate the remainder when 13 is divided by 60\/8 - y\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 207, 751, 1815, 3573, 6199?\nAnswer: 9867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/1)\/(90\/2250). Let v(s) = s**3 + 24*s**2 - 25*s + 20. Let z be v(b). Solve -z = 5*p - 30 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 192*n**5 - 3724*n**4 - 2328*n**3 + 244*n**2 + 14*n - 14. Let m(h) = -6*h**2 - h + 1. Let q(c) = -14*m(c) - r(c). Suppose q(y) = 0. Calculate y.\nAnswer: -2\/3, 0, 1\/16, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 13*m**7\/42 + 2*m**3\/3 + 6*m. What is the second derivative of k(t) wrt t?\nAnswer: 260*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2043020615 to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -86390 divided by -17278?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 - 42?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61146 and 151722.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.7 + 2.1. What is the closest to 1 in -2\/15, -0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3875 - -7607. Is q a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/21*567\/((-297)\/11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjiijmjjimjjmjjjjjj. What is prob of picking 2 i?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10714?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 214757 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 285\/9926 >= -17\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 17*b**2 + 15*b - 13. Let n = 15 + -31. Let q be d(n). Solve 0 = x + q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2383 - -202549\/85. Are r and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -5\/9, -93, 0.02 in descending order.\nAnswer: 0.4, 0.02, -5\/9, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5534.997 centuries?\nAnswer: 553499.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 - 3*j**2 + j**4 + (3 - 3 + j)*(0*j**3 - 4*j**3 + 2*j**3) + 2*j**4 + 3*j**4 - 3*j**4 - 45 + 45 - 70*j**4 + (-4*j**2 + 4*j**2 + 4*j**4)*(2 - 3 + 3).\nAnswer: -61*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26.2 + -0.2. Let u = -28 + g. Let i = u + 1.9999987. What is i rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - b**2 - 38*b + 491. Calculate d(0).\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 5*n - 3. Suppose m - 12 = 3. Let r = 15 - 24. Let a = r + m. What is x(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1241.2074327 to 1 dp.\nAnswer: -1241.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) 22 (c) 45\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 0*i + i**2 - i + 6 - 3*i**3 + 2*i**3. Let r(t) = -t**3 + 20*t**2 + 53*t - 672. Let c be r(21). What is j(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 0*a**5 + 0*a**4 + 0*a**2 + 0*a + 0*a**6 + a**3 + 5 - 4\/7*a**7. Find the third derivative of v(r) wrt r.\nAnswer: -480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 8:00 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -12*o. Let y(l) = -l. Let t(n) = -m(n) + 15*y(n). Let p(k) = -k**3 - 2*k - 1. Let q be p(-1). Let s(f) = -f**q + 5 - 5. What is t(s(j))?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-288) - ((-1)\/24)\/((-21)\/140).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(21\/15)*(-114)\/1045*-22?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 947016 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*j + 5*r + 7, 5*j + 3*r = 18. Let q = 28 - 28.025. Let a = -0.475 + q. What is the nearest to 0 in j, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 315 (b) 0.04 (c) 2\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4500 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 4*l**2 + 3*l + 11. Let v be i(-4). Suppose -4*d - h + 12 + 5 = 0, -h - 1 = -2*d. Put v, -4, d, 5 in increasing order.\nAnswer: -4, v, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -17, -55, -129, -251, -433, -687, -1025?\nAnswer: -1459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-2033445.5\nAnswer: -203344.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**5 + 32*u**4 + 64*u**3 + 8*u**2 - 68*u - 40 = 0.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 - 17 - (10 - 22).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2862 and 1107?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -8 - (33 - 28).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 828998134 to the nearest integer?\nAnswer: 28792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/274)\/(-7)*4. Is s bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1518 - -1590. Which is the closest to 1? (a) 4 (b) l (c) 3\/7 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3159 + -1535. Let o be a\/36 - (-2)\/(-18). Is ((-36)\/(-15))\/(3\/o) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.7092273g?\nAnswer: 709227300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.2, 2\/11, -0.033?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7}. What is prob of picking 4 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30210 + -1?\nAnswer: 30204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -549, -1037, -1647, -2439, -3473?\n\"Answer: -10*y**3 - y**2 - 415*y - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 876 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -11, -5, -3 in descending order.\nAnswer: 2, -3, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 10*z + 7. Let x be i(-6). Let w(h) = h**2 + 18*h + 6. Let o be w(x). Let q = 30 + o. What are the prime factors of q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572 is divided by 180?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 16 = -3*o, -42 + 46 = 4*q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(32)\/(sqrt(4)*-1))*1.\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-10 + (-4 - -20) + -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6 = -5*q. Let c = q + 1. What is the units digit of 3\/((-9)\/c)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 2*t = 22, -4*p + t = -1 - 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-3\/4))\/r**(-6\/11))\/(r**(-3\/2)\/(r*r**(-2\/15))))\/((r\/(r*(r**(2\/5)*r)\/r))\/(r*r**(-7)))**(1\/49) assuming r is positive.\nAnswer: r**(14081\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -0.09 (c) -2\/13 (d) -12.662\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 364 - 364. Which is the nearest to 2? (a) -77 (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3031211201 (base 4) to base 12\nAnswer: 347395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**3 - 55*s**2 - 680*s - 1520 = 0. Calculate s.\nAnswer: -4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 8.9. Let u = 24661 + -24666. What is the nearest to 3\/2 in u, g, -2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/3)\/((-1)\/(-45))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/12)\/((-275)\/330).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57d98f (base 16) to base 10.\nAnswer: -5757327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*r + 15. Suppose 2*l + 10 = 4*l, -4*k - 13 = -5*l. Let g be 2\/k*(2 + 1). What is the highest common factor of r and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -15 (c) -2\/13 (d) -19 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 455\/3060 + 11\/(561\/(-9)).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.2 from -50.1.\nAnswer: -51.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 3398536*j**2\/3 + 6797066*j\/9 + 1132844\/9.\nAnswer: 2*(j + 566422)*(3*j + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 33*w**2 - 3*w - 343. Give x(-34).\nAnswer: -1397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -429 or -859\/2?\nAnswer: -429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, o: 2, k: 1, l: 2}. Give prob of picking 1 o and 1 l.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*w + 0*w = -1249, -2 = 2*w. Let k be (-20)\/25 + c\/5. What is the tens digit of (-2)\/4 + 0 - k\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a3 (base 13) to base 10.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 357307027 and 95?\nAnswer: 1786535135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 + -67. Let k = 6 + -6. Suppose k = i*a + 3 - 18. Solve 0*b - a*b + 20 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*a**4*y - 132*a**3*y**3 - a**3*y**2 - a**2*y**3 + a**2 + 19*a*y**3 wrt a.\nAnswer: -240*a*y - 792*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 89?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 6:27 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 1100011?\nAnswer: -1101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t - 4*s - 10 = 0, -3 = -2*t - 3*s. Let v be -18*2\/(-20)*(-20)\/t. Suppose v*x - 4000 = 2*x. What is x rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + 5. Let a(p) = -6*p - 14. Let j(b) = 5*a(b) + 14*q(b). Let f(i) = -315*i + 316*i + 35 - 57 + 22. What is j(f(k))?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 + -82249984.\nAnswer: -82249991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*m = -2*p + 6, 4*m = -3*p + 13. Let i = 393 + -254. Let f = i + -139.1. Which is the closest to f? (a) p (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 77, 43, -13, -91, -191?\n\"Answer: -11*k**2 - k + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = 6*w - 4*w - 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 3*n**2 + 10*n + 25. Let g be c(3). Let p = 1 + 0. Let a = p - -1. Is a greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0278 - -0.1622. Which is the second biggest value? (a) -0.2 (b) p (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26537140*j**2 - 5 + 26537118*j**2 + 2*j**3 + 5.\nAnswer: 2*j**3 - 22*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*v = -124, v + 65 = -0*z + 2*z. Calculate the remainder when 125 is divided by z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007485992358 rounded to six dps?\nAnswer: -0.000749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 - 3*a + 2*a**2 + 5*a - 5*a**3 to k*a + j*a**2 + v + c*a**3 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/6 - (-2744)\/(-1848). What is the second biggest value in -2\/203, -3\/5, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 68, -3, 0.3?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/591 (b) 1.253 (c) -3 (d) 5 (e) -2 (f) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -46526174 divided by 1224373\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2065 is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 8. Let t(y) be the third derivative of y**3\/6 - 3*y**2. Suppose 8 - 14 = l. What is l*t(v) - h(v)?\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 502a97?\nAnswer: 502a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (16 + 6 + 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(228))\/(-3*sqrt(27)).\nAnswer: -4*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -112 + 307. Suppose -g = -4*d - 19. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18386?\nAnswer: 2, 29, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1607 = 3*o, 5*x - 1441 = 3*o + 169. Let z = 0 - o. What are the prime factors of z?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -23. Let r be y\/(-7)*21\/3. Suppose -5*o = -2*b + 61, 0*b = -2*b - r*o + 69. What are the prime factors of b?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*b**3 - 647*b**3 - 102*b**3)*(0 + 0 - 2).\nAnswer: 1538*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -1. List the prime factors of (-154)\/t - (-8)\/(-20).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010011011001100010010001 - -11?\nAnswer: -1010011011001100010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 103248412901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 0*h - 4 = 4*x, 0 = -3*h + 3*x - 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 2*d - d + (-4*d + 2*d + d)*(-5 - 28 + 7).\nAnswer: 25*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6*w = -4*t - 28, -2*w - t - 13 = 0. Let c be (-2)\/w - (-10)\/6. Find the second derivative of c*b**3 - b - 2*b**3 - 2*b**3 wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 590, 1180, 1770, 2360, 2950?\nAnswer: 3540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-12 + 6)) + 0 + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56629863?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30357?\nAnswer: 3, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -31. Let h = f - 5. Let t = h - -13. Which is bigger: t or -1\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/48*12)\/(6\/(-16)). Sort i, 2, 5, -15 in descending order.\nAnswer: i, 5, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from sqxsxsqes.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 0 in increasing order.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + 6*z**3 - 3*z**3)*(10*z - 10*z + 7*z**2) - z**5 + 0*z**4 + 0*z**4 + 1273*z**2 - 569*z**5 - 1273*z**2.\nAnswer: -556*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318744182.\nAnswer: 2, 159372091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Let x be m\/(1 - (1 - 1)). Let j(i) = 1 - 6*i**2 + 2*i**3 + x*i**2 + 4*i**2 + i. Calculate j(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2556644 (base 7) in base 8?\nAnswer: 1213632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 375 and 1584?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 448559.4 years to centuries.\nAnswer: 4485.594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0 = 2, 38 = b + a. Let i be b\/(-24) - 1\/(-2). Is -1\/20 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3))**33\/((k**(-4)*k*k)\/(k\/(k**(7\/4)*k)))*((k**(-3))**(4\/15))**(1\/44) assuming k is positive.\nAnswer: k**(-2369\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11287524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -91, -307, -703, -1333, -2251?\nAnswer: -3511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2049410?\nAnswer: 2, 5, 11, 31, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -7*n - 47 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, o: 4, k: 5}. Give prob of picking 1 o and 1 k.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*(h*h**(-4))\/h)**(-49)\/(h\/h**(-16\/7)*h**(-13)))**(-36) assuming h is positive.\nAnswer: h**(-27144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0448086 rounded to four dps?\nAnswer: 3.0448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633222?\nAnswer: 2, 3, 127, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2299) + 6*(sqrt(2299) - (sqrt(2299) + 0)) + -3 + (sqrt(2299) - (sqrt(2299) - (-2 + sqrt(2299))**2)) + sqrt(2299))*-6.\nAnswer: -13800 + 132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362808 is divided by 45349?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(300))**2*-3.\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 57066.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53\/7669 or 0?\nAnswer: 53\/7669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 49425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 169.73277 months in years?\nAnswer: 14.1443975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -15*i**3 + 11*i**2 - 141*i + 1345. Let x(w) = -8*w**3 + 6*w**2 - 71*w + 672. Let u(s) = -6*h(s) + 11*x(s). Differentiate u(p) with respect to p.\nAnswer: 6*p**2 + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3 + 7. Let h be 1 + -2 + (-1 - -1). Let f be 1*(-2 + (1 - h)). Put o, f, 3 in descending order.\nAnswer: 3, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**5\/3 - 54*s**4 + 929*s**3\/6 + 95*s**2 - 627*s\/2 + 117 = 0.\nAnswer: -3\/2, 1\/2, 1, 3, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -6*y**2 + 1 + 6*y + 1\/3*y**3. Is o(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 11262*f**2 - 112622*f + 27. Determine c(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**2*v - 12*b**2 + 10*b*v - 158*b - 165236*v wrt b?\nAnswer: 2*b*v - 24*b + 10*v - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/3 - 3\/9. Sort -47, o, 1, 3 in increasing order.\nAnswer: -47, o, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 316098 and 1190016.\nAnswer: 20230272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 6*h**2 + 3*h - 2. Let r be m(-7). Let d be (4257\/81)\/(4\/r). Let v = d + -8070. Calculate the common denominator of 23\/6 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.046*-8.\nAnswer: -0.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s - 7. Let v(l) be the first derivative of 21*l**2\/2 - 48*l + 119. What is -4*v(o) + 27*y(o)?\nAnswer: -3*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 467154 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x. Let h(v) be the second derivative of v**6\/180 - v**3\/6 + v. Let b(o) be the second derivative of h(o). Determine b(t(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -9*c. Let z(t) = -7*t - 28*t**2 - 31*t**2 - 78*t**2. Calculate b(z(k)).\nAnswer: 1233*k**2 + 63*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 4*l - 4*x, -2*l + 4*x - 34 = -114. What is the highest common factor of l and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96118 and 1309?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -q - 3*u, 0*q - 8 = 4*q + 2*u. Let y = -42 - -72. Let p(g) = -g**2 + 30*g - y*g + 12. Give p(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32313 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -7*q + 14, -3*q + 5*r - 29 - 9 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.036 times -0.01\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-14) + 8\/(-28). Let d be (-5 + t + 0)*-1. Suppose -4*v + 2*a + 464 = -a, 480 = d*v + a. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-4) - 432\/(-270)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = 6*p - 4*p - 135 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2038*(5 - 24) - (-27 + 25)?\nAnswer: 2, 3, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27.2101kg?\nAnswer: 27210100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z. Let x(h) = -5*h**3 - 6*h + 4. Let r(f) = x(f) - 6*y(f). What is the derivative of r(o) wrt o?\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 71 in -5, 2\/985, 0?\nAnswer: 2\/985","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c14 (base 13) to base 5.\nAnswer: -31140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*q**2*u**2 - 2952530*f**3*u**2 + 2*f**2*q**2*u + 367*f**2*q**2 + 2*f**2*q*u**2 - 4*f*q**2*u - 4*f*q*u**2 + q**2*u**2 wrt f.\nAnswer: 6*q**2*u**2 - 17715180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 311230313301 - -11?\nAnswer: 311230313312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73831.63mm to nanometers.\nAnswer: 73831630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 to the power of 1\/2, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, l: 2, a: 1, h: 1}. What is prob of sequence ahn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3 + 20*v**2 - 574*v + 2352 = 0. What is v?\nAnswer: -24, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6102 is divided by 218.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16830 divided by -51?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 171322077077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 133\/7 + 33\/((-99)\/150).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 + 4*o**4 + 0*o**4 + (9*o**3 - 4*o**3 + 6*o**3)*(-2*o - 3*o + 4*o) + o**4 - o**3 - 142383 + 142383 - 4*o.\nAnswer: -7*o**4 - o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 1. Suppose r*q = -0 + 15. Let s = q - -5. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4*(-4 - -6). Let h(s) = 2*s**2 - 29*s - 19. Let v be h(17). Let z be -1 + 3 - (-12)\/v*-10. Is a less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3 = -3*q. Let w be ((-3)\/(-6))\/(q\/(-12)). Sort w, 1, -4.\nAnswer: -4, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 1303.\nAnswer: 390.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 1. Let j be 1 - (-7)\/((-21)\/6). Let k(u) = -15*u**2 - 49*u + 3. Let f(i) = j*k(i) - 3*r(i). What is the second derivative of f(w) wrt w?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13545000 to the nearest one hundred thousand.\nAnswer: 13500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4789460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + 1*sqrt(847) + 6*3*sqrt(847) + -3) + 0)**2.\nAnswer: -33440*sqrt(7) + 4892672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7019, 14045, 21045, 28007, 34919?\n\"Answer: -2*s**3 - s**2 + 7043*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/45*-6*15\/(-6). Solve 4*j - j - 5*v = -8, 4*j + z = -2*v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 12 = 2. Suppose 2*x - 146 = 5*t, 66 = -d*t - 5*x + 2*x. Let i = t - -32. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**5 - 43*o**4 + 167*o**3 - 203*o**2 + 97*o - 14.\nAnswer: -(o - 1)**3*(o + 14)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((3 + -7 + 4)*-1)\/(-4). Suppose p = -4*v + 12, -4*u - 3*v + 91 = -142. Calculate the highest common divisor of 266 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6899 = -7*f + 6*f, 0 = -y - 2*f + 2302. Suppose -2260 = -16*j + y. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -20. Which is the nearest to -0.1? (a) u (b) -4\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 8 + 9 + 0*k**2)*(-3*k - 4 + 4).\nAnswer: 3*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 380 divide 3711425599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*x**4 + 16*x**3 - x**2 - 1428*x?\nAnswer: 168*x + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**5 + 4*z**4 - 4*z**2 - 3*z + 4. Let f(m) = -10*m**5 + 13*m**4 - m**3 - 12*m**2 - 10*m + 13. Let y(j) = 2*f(j) - 7*s(j). Factor y(u).\nAnswer: (u - 2)*(u - 1)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12641167 and 2068?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-198)\/(-20)*20290\/(-6087).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 146\/7 + -47*2400\/39480\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/6)\/((-53)\/(-795)). Solve -w - 5*r = -15, 4*r - 13 = q*w + 28 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + -1*sqrt(2299)*-1 + 0 - (0 + (sqrt(2299) + -3)*3))**2.\nAnswer: -198*sqrt(19) + 2380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79398517.\nAnswer: 11, 17, 281, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 21*c**2 + 3. Let v(b) = -26*b + 1. Calculate v(q(k)).\nAnswer: -546*k**2 - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*q**3 - 2*q**3 + 2*q**3)*(-1 + 0 - 1) + 2*q**3 + 3*q**3 - 7*q**3 - 9*q**3 - 10*q**3 + 6*q**3)*(2*q**2 - q + q).\nAnswer: -38*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 50 in 3\/5, -3\/4, 67399?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 0*x - 5*x)*(-7*x + 3*x + 14*x).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1046)\/(-21))\/((-4)\/4). Let s = 50 + l. What is the common denominator of s and -47\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 265\/25 + (-3)\/5. Let r be 4\/s*(-6)\/4. Suppose -14 = w + 3*q, -8*w - 5*q = -11*w + 28. Put 4, w, r in descending order.\nAnswer: 4, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/4635?\nAnswer: 2\/4635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 7*g = 4. Let v be g\/(-12) + 1501\/(-9078). Let y = 114994\/4539 - v. Calculate the common denominator of y and 59\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 110*t - 1. Let d(u) be the second derivative of 5*u**4\/12 - 726*u. Calculate d(g(v)).\nAnswer: 60500*v**2 - 1100*v + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.137 (b) 3 (c) -3 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 10*v**2 - 10*v + 13. Let f(n) = -n**2 + 10*n. Let b be f(9). Let q be u(b). What is the lowest common multiple of (-99)\/(-22)*q\/3 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 17 = q + 1, 4*q - 2*l = -6. Let k = q + 0. Let j = 511\/60 + -43\/5. What is the nearest to 0 in j, -2, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 187\/7 - 10\/(-35). Solve m - 7 = -4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6050, 6144, 6412, 6944, 7830?\n\"Answer: 15*n**3 - 3*n**2 - 2*n + 6040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5710, -5723, -5736, -5749, -5762?\n\"Answer: -13*f - 5697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 138 = -5*z. Does 13 divide 4\/(-2) + (z - 12) + 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 249 + -248.4. Put v, -1, 0.4 in ascending order.\nAnswer: -1, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 33\/5 of a milligram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*u = -22, -6*s - 326*u + 329*u = 27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllldllllllllllldd. Give prob of sequence dldl.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -221 - -215. Let m(b) = -11*b**2 - 6*b + 6. Let i(o) = -31*o**2 - 17*o + 17. Let g(x) = w*i(x) + 17*m(x). Let t(h) = 4 - 4 + 8*h. Calculate g(t(v)).\nAnswer: -64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 5*g + 280 = 0, 332*i - 165*i - 168*i + 4*g = -61 for i.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 34. Suppose 4709975 = -g - 5*j, 2*g = 2*j + p*j - 9420025. What is g rounded to the nearest 100000?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*a - 34, -5*a + 0 - 17 = -4*u. Suppose 2*b - v = 875, 3*v = 3*b + u*v - 1306. Does 23 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 0 + 350\/13*x**3 - 160\/13*x + 16*x**2 - 18\/13*x**4 = 0.\nAnswer: -1, 0, 4\/9, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 4*(sqrt(3) - -2*sqrt(3)) + 3 - -6*sqrt(12)*-6) + 1*(sqrt(243) - (1 + sqrt(243)))*2*4.\nAnswer: -59*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -165 + 89. Let r = 86.6894 - -0.1106. Let y = r + z. Round y to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*1\/45)\/(45\/(-150))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 2*l + 0*l)*(0*l + 0*l - 3*l**2).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4170806 is divided by 381.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 0 - 2 - 301*w + 300*w + 1. Let a(p) = -7*p - 5. Suppose 4*l - 17 = -13. Give l*a(r) - 5*q(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 297 - 27 - 2*p - 114*p**3 + 113*p**3 in the form d*p**2 + m*p + s*p**3 + r and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(78)*1)\/(sqrt(864) + -2*sqrt(864)) + -2.\nAnswer: -2 - sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 7. Let x be 3*1 - (-8 + (1 - y)). Is x less than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 - 46. Solve -3*w + 2*f = -13, 9 = 5*w + o*f - 0*f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11634151 - -2?\nAnswer: -11634146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 4:51 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 13*c**2 - 63*c + 8. What is l(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = -0*z - 5*z. Let t = -4 + z. Suppose 2*r + q = 6*r - t, -r - 5*q + 36 = 0. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 8, 0 = 4*t + 3*r - 0*r - 22. Suppose 11 = 6*p - t. What is the second derivative of p + 15*k**4 - 4*k**4 - 8*k - 3 wrt k?\nAnswer: 132*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 10*t + 3. Let z be k(-10). Suppose 4*j = z*v - 166, 5*v - 296 = -7*j + 4*j. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/34 and 9775\/(-1160) - (-24)\/(21\/7)?\nAnswer: 3944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 16*s = 2*s - 18*s + 84 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from zwsszwwzw.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3\/3 - 7*m**2\/3 + 154*m\/3 + 160\/3 = 0 for m.\nAnswer: -16, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 21 = 5*f. Calculate the remainder when 31 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 - 35. Let a(b) = 2*b**2 - 37*b - 4. What is the remainder when 43 is divided by a(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3701, -3, -0.4, -13 in decreasing order.\nAnswer: 3701, -0.4, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*o**2 - 25*o**2 + 4*o - 8*o**3 - 4*o.\nAnswer: -4*o**2*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 + 46 = -27*b. Suppose -5*n - 13*u + 120 = -18*u, -b*n + 129 = 4*u. Solve -5 = 4*i - n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2518 is divided by 749.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -7*y + 13*y. Let n(m) = -m**2 + 31*m - 66. Let x(p) = -p**2 + p + 2. Calculate the least common multiple of x(0) and n(y).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttgmhcmg. What is prob of sequence gt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1693?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + 11 + -7 + (-3 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 712205.39 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from tvftffffvffff?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = o - 3*g + 2, 22 = -5*o + g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -823178.378 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-412)\/132 + 3)\/(8\/(-12)). Put 4, d, -0.01 in descending order.\nAnswer: 4, d, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 381615 = -10*h + 12*h, -2*g + 3*h + 152657 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 - 212 = -4*u. Solve -11 = -5*q - u*g + 2*g, -5*q - 2*g + 19 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 55555.55.\nAnswer: 277777.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3775 - 3616 + 1190*t**5 - 2*t**2 + 3997*t**5 - t wrt t.\nAnswer: 311220*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7909561 and 1166?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*a**3 - 25*a**2 + 366*a - 80.\nAnswer: -(a - 5)*(a + 8)*(9*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as 3143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*j - 643 = 0, -5*i - 3*j = -0*i - 3100. Calculate the remainder when i is divided by 204.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -925 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2\/(v\/(v**(1\/4)\/v)))\/(v*v\/v**4*v\/((((v*v*((v\/(v*v*v*v\/v**2)*v*v)\/v)\/v)\/v)\/v)\/v)) assuming v is positive.\nAnswer: v**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 85\/(-17) - (2*-47 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 252, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1603 is divided by 285.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 30. Let y be d(-20). Suppose 0 = -p - y + 7. What is the second biggest value in -5, p, -0.19?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3382, 5960, 8502, 11014, 13502, 15972, 18430?\n\"Answer: q**3 - 24*q**2 + 2643*q + 762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*j + 41*j + 22*j + (-1 - 3 + 2)*(-3*j + 2*j + 2*j))*(13*j - 35*j - 85*j) in the form k + f*j + l*j**2 and give l.\nAnswer: -5350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2. Let z(f) be the first derivative of -f**2 + 2. Give w(z(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 q when four letters picked without replacement from {l: 3, j: 2, b: 1, q: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190.04*-5.51.\nAnswer: -1047.1204","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1908.6 in 0, 3, 7, -29, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**3 + 6*w**3 + 4*w**3 + (-4 - 1 + 3)*(6 + 2*w + 12 - 13)*(3*w**2 - w**2 + 4*w + 0*w))*(1 + 7 + 8).\nAnswer: -32*w**3 - 576*w**2 - 640*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -147 and 499143517?\nAnswer: 499143664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 8*d**2 - 5*d + 4. What is w(-9)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -564, -552, -532, -504, -468?\n\"Answer: 4*f**2 - 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -6)\/((-5)\/(-260)*1). Let i be (20 - 26270)*z\/(-6)*-8. What is i rounded to the nearest 10000?\nAnswer: -1820000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2943 and -0.39.\nAnswer: -1147.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -1.5 and 16045311 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-437 + 78*b + 437)*(0*b**3 + 3*b**3 - b**3) + 4*b**4 - 2*b**4 - 5*b**4 - 3*b**4 + 6*b**4 - b**4 + (-b**3 + 2*b**3 - 3*b**3)*(-5*b + b + 2*b).\nAnswer: 159*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(330) - 2*sqrt(330))*-1)\/sqrt(11))\/(-1*1*sqrt(10) + sqrt(10) + sqrt(10) + -1*(sqrt(30)\/sqrt(3) - sqrt(10))) + 2.\nAnswer: -5*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 1599069605.\nAnswer: 1599069604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 + -41. What is the greatest common divisor of j and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1167306051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = q + 139500002, 0 = -2*i - 18*q + 21*q - 278999994. Round i to the nearest 1000000.\nAnswer: -140000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-6 - (-22)\/4). Solve 0 = -d + y - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -510*i. Let n(f) = 20*f**2. Determine n(o(a)).\nAnswer: 5202000*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - v + 5, 2*z - v = 3*v + 10. Let o be 34\/4 + (-45)\/(-30). Factor g - 4 + o*g**2 + 0*g + z*g.\nAnswer: 2*(g + 1)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a - 11. Suppose 0 = u + 5, 0 = 3*f + 4*u - 2 + 154. Let x = f + 38. Does 2 divide b(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 3*b + b**2 + b**2 + b**2 - b**2 + (2*b - b + b)*(-b + 2*b + 0*b) - 2*b**2 + b**2 + 0*b**2)*(4*b + b - 3*b).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 3. Let o be p\/8*(-3)\/(-18)*-4. What is the nearest to o in 0.3, 2\/9, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083109348 to the power of 1\/3, to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-15))\/((-63)\/(-70))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 342 - -44. List the prime factors of j.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from hpphphh?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1643 + 703. Let m = -400 - d. What is m rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 18 + 180\/(-18)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/6*435393\/21. Suppose 12*t - 70003 = w. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4 = -8. Let d(r) = 13*r - 21. Let a(g) = -7*g + 11. Let b(q) = h*d(q) - 11*a(q). Let u be b(4). Solve 5*p - 16 + u = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 90, 91, 92?\n\"Answer: v + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6778807, -6778817, -6778835, -6778867, -6778919, -6778997?\n\"Answer: -y**3 + 2*y**2 - 9*y - 6778799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -88*t. Let i(z) = 6*z + 17. Determine j(i(r)).\nAnswer: -528*r - 1496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2613 is divided by 538.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-7 - -4) - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**4 + 9285*t**3 - 4287275*t**2 - 21631785*t - 17335220 = 0. Calculate t.\nAnswer: -4, -1, 931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-2)\/(4\/34). Suppose m + 231 = v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -267842*l**3*n - 2*l**2*n - l**2 + 85*n + 346 wrt l?\nAnswer: -1607052*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1346 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -61, -23, 73, 257, 559, 1009, 1637?\n\"Answer: 5*m**3 - m**2 + 6*m - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/14 - (-220)\/14. Let p = c + -10. What is the units digit of ((-4)\/p)\/((-4)\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4*sqrt(847)*-2 - sqrt(847))*-3)**2.\nAnswer: 5557167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -1)*(-3)\/6. Let d = -12 + 14. Solve -3*f + d*f = -u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**7\/735 + j**6\/42 + 10*j**5\/21 - 250*j**4\/21 + 763*j**2. What is n in r(n) = 0?\nAnswer: -10, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61460000 to the nearest 1000000.\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 213*y**3 + 3865 wrt y?\nAnswer: 639*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 1:07 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 at least 1490\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38441484.\nAnswer: 2, 3, 19, 43, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-6880)\/688*((-48)\/15)\/2\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -14*x**3\/3 + 2*x - 2. Let a(q) = 5 + q**2 - 2 - 3. Give -12*a(g) - u(g).\nAnswer: 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128.279155 - 0.297555. Let l = 128 - o. What is l rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 41, -471, -973, -1459, -1923, -2359?\n\"Answer: f**3 - f**2 - 516*f + 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*n - 15984 = -1168 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 3*f = -1965. Let t = -76 + f. What is the remainder when t is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**4\/6 - 31*p**3\/6 + 13*p**2. Let d be a(-6). Let g(f) = -27*f + 44. Is g(d) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 = 11*x - 3440. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**6\/120 + v**5\/2 - 5*v**4\/4 + 67*v**3\/6 - v**2 - 11. Calculate the remainder when 68 is divided by i(-31).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/((3 - 3 - 1)*-1). Solve 29 = h*s + v, 4*v = 4*s + 2*v - 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -469 - -706. Suppose 9435 = 7*p + v. Let c = p - 749. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/8 - ((-68)\/8 + 3). Suppose 4*s = -t*o + 4, 3*s + 1 + 4 = o. Solve 4*m - m = r - 9, -3*m + o*r - 9 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*s = -5*m + 137*s, -4*s - 8 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzwzzlzowwoozoo. Give prob of sequence ool.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -21, -33, -47?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14548318809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12285 and 265005.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 22*r + 34 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 6 - 6)*(0*t + 3*t - 2*t)*(-2 + 1 - 1).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 284 + 86 = 0. Suppose -2*d = -3*z - 211, 14*z + 320 = 9*z - 3*d. Is m smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-8))**(2\/25)\/(r**3\/r**2))**28 assuming r is positive.\nAnswer: r**(-1092\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 + 146*r + 1640. Give v(-16).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifteen quarters of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyzzzzzlzuzlzsznl. What is prob of sequence ly?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 0\/(-1 + -4). Let c(m) = -37 - 2*m - 4*m**2 + 36 + a*m**2 + 14*m**3 + 32*m**3. Calculate c(-1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 2. Suppose 3*p - 3 = 2*w, 4*p - q*w - 2 = 2. Let a = p + -1. Round a to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 142235911 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 11*r**5\/30 - 3*r**4\/8 - 7*r**3\/6 + 4*r**2 + 3. Let u(g) be the second derivative of p(g). Is u(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 44 + 16 + 416*f + 8.\nAnswer: 416*f + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {c: 2, g: 17}?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*y - 20 = 0, -5*l + l + 4*y = -40. Suppose -3*w + 25 = 4*z + 2*w, -z - 2*w = -l. Solve z = -5*g + 4 + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**6\/1260 + j**5\/70 + 3*j**4\/28 + 8*j**3\/3 + 2. Let v(n) be the third derivative of i(n). Suppose v(y) = 0. Calculate y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2 (b) 0.1 (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 712 (base 8) to base 13\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -11.01, 22\/5?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 589222, 4713745, 15908874, 37709911, 73652158, 127270917, 202101490, 301679179?\nAnswer: 429539286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2701 is divided by 354?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t + 362. Calculate the remainder when 1534\/10 + 14\/(-35) is divided by k(161).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-165)\/40 - (-3 - 1). Put 0, 3, l in descending order.\nAnswer: 3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1658*c - 285 = 1643*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -401, -3, -4464, 21 in increasing order.\nAnswer: -4464, -401, -3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(85\/(548250\/(-2236)))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 428 - 405. Suppose c*p - 33 = 12*p. Let m be (1 + -1)\/(-1*2). Solve m = -x + p*x + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -m + 2. Suppose -2*y + m + 6 = 0. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48873, 97765, 146657, 195549, 244441?\nAnswer: 293333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279, -119, 61, 273, 529?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.1792616 kilometers?\nAnswer: 179.2616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 288847807 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 219.28 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/130698091 and 149\/6.\nAnswer: 784188546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3992271 to the nearest 10000.\nAnswer: -3990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 4*b - 5. Let r = -23 - -28. Determine f(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 3 + 1)*(0 + 2*c + 0) - 20*c - 365 + 365 - c - c + 4*c)*((-c**2 + 20*c - 20*c)*(-3 - 2*c**2 + 3) - 3*c**4 + c**4 + 3*c**4).\nAnswer: -66*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 431 + -386. Calculate the highest common factor of 18 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581*h + 164*h + 1292 + 1210 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/44*6\/5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 16) to base 14\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + 5*r - 2*r + (4 - 2 - 3)*(-3 - 1 + 2)*(-5*r + 0*r + 3*r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**5\/15 + 39938*y**4\/15 + 15982*y**3 - 599266*y**2\/15 + 63920*y\/3 = 0?\nAnswer: -8, 0, 1, 19975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 204, -4, -10, -1, -5 in ascending order.\nAnswer: -10, -5, -4, -1, 25, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 1:44 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-2584)\/(-51))\/(-19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -32\/9 greater than 2\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 784 + -1102. Let z(x) = x**2 - 6*x. Let l be z(7). What are the prime factors of -2 + l\/((-21)\/i)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*l + 1923 - 1143. Let y be 16\/(-3)*3*-1. Suppose -4*t = y, -4*r - 3 + 359 = 2*t. What is the highest common factor of l and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.34 + 0.14. Which is the second biggest value? (a) -8 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*(8 + -2) - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-12)*d*(d\/(d\/d**7))\/d assuming d is positive.\nAnswer: d**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 932200831?\nAnswer: 17, 54835343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -4.56 (c) -67\/342\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 496*p**2 + 52*p + 156. Is j(-3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -376 divided by 376?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5531*c + 145. List the prime factors of j(5).\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2332 and 433169.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4\/5 + 1432*j**3\/5 + 122308*j**2\/5 - 1048224*j\/5 + 2143296\/5.\nAnswer: 4*(j - 4)**2*(j + 183)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + (sqrt(2744) - (sqrt(2744) - (sqrt(2744) + -2*sqrt(2744))) - sqrt(2744)))\/sqrt(8)*2.\nAnswer: -26*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 85\/(-10) + (-3)\/(-6). Let k be (b\/(-14))\/(-7*6\/(-735)). Calculate the highest common divisor of k and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x - 6. Let w(s) = -5*s - 17. Suppose -n + 1 + 2 = 0. Suppose n = -c + 4. Let t be c - 1 - 4\/2*-2. Give t*w(j) - 11*d(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 10*b = 3, 0 = -4*s + 4*b + 676. Let c = 197 - s. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 76656?\nAnswer: -76659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -86*w - 86. Let n be b(-1). Let f(z) be the third derivative of 3*z**2 - z**3 - 1\/20*z**5 + 3\/8*z**4 + 0 + n*z. Solve f(i) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2068 + -1711. Calculate the highest common divisor of n and 561.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, n: 6}. What is prob of picking 2 n and 1 q?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3067506317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -96 and -2?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-2 + 6 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 48*v + 50. Let a(x) = -17*x - 17. Determine 17*a(h) + 6*o(h).\nAnswer: -h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**2 + 10195335*i - 10195335*i. Let d(t) = -521*t. Give m(d(c)).\nAnswer: 1085764*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/4, -3\/2, -0.2, 5, -11\/2 in decreasing order.\nAnswer: 5, 1\/4, -0.2, -3\/2, -4, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -2*k - 1, -4*k - j + 1 = 18 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10093, 8312, 6531, 4750, 2969?\n\"Answer: -1781*v + 11874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, 5, 2 in descending order.\nAnswer: 10, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1144 and 10538.\nAnswer: 547976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 456, 463, 474, 489, 508?\n\"Answer: 2*m**2 + m + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wtwtwwwt?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1211741016727016784.99999839 - 1211741045291541942. Let s = -28564525002 - m. Let u = s + -155. What is u rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + (-238)\/21)\/(708\/(-36) + 20).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 5*r**2 + r + 3. Let t be (-2)\/2 + (0 - -6). Let f be u(t). Suppose 0 = f*y - 4*y - 100. What is the remainder when 48 is divided by y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*y - 14*y - 21*y.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2 + 4. Let v(w) = 4*w - 2. Let s(q) = -q**2 - 9*q + 4. Calculate k*s(f) + 5*v(f).\nAnswer: -2*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -4a57b?\nAnswer: 4a57e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6 = -4*u - 24, -u - 5 = -s. Suppose 5*f + 7 = -3, -f - 6 = -4*i. Calculate the remainder when s is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**3 + 340*o**2 + 2175*o + 3330 = 0.\nAnswer: -3, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2478)\/(-14))\/(1 - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 7*q - 9. Factor -5*n**q - 1100*n + 588*n - 63 + 572*n - 17.\nAnswer: -5*(n - 2)**2*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820743.\nAnswer: 3, 7, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*f - 72*f - 71*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23110 and 350.\nAnswer: 808850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 3*x + 6. Let k be z(-3). Let u be 168\/(-2)*((-3)\/k + 0). Calculate the highest common factor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/7)*a)\/a*a)**7\/((a**(-2\/19)\/a)\/a**(2\/3))*(a**2)**(-11)\/((a\/a**(3\/7))\/a**(-1\/4)) assuming a is positive.\nAnswer: a**(-8059\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1400\/2625)\/(74\/(-13875)).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -2. Suppose -4*u + 5*w + 2 = 0, -5*u + 3 + 20 = 4*w. What is the units digit of f*(33\/(-6) + u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1 (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/156 and 35\/8.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120 - 2302214?\nAnswer: -2302054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z - 21*z = -72 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/25047709 or 1?\nAnswer: 10\/25047709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44184 and 9955176?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740114263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 - 9) + 7 - 530\/110. Suppose -3*g - 4*v + 7 = 0, 3*g - v = 4*v + 25. Sort -1\/3, g, 1, d in descending order.\nAnswer: g, 1, d, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/10)\/(6\/15). Solve 3 = g*r + r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -476.3 + -100.7. Let g = l - -634.6. Let o = -56 + g. Round o to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2016100 to the nearest ten thousand.\nAnswer: -2020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2100) - (sqrt(2100) + sqrt(2100)*4))*3*3)\/(sqrt(12)\/sqrt(4)*-2 + -5*(sqrt(3) - 1*sqrt(3)) + sqrt(3)).\nAnswer: 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*(-39)\/26.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.5974 - 0.9678. Round r to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 3)\/(1\/(-17)). Let n = -11 + q. Let k be 24\/9 - (0 + 2). Which is bigger: n or k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 301\/77 - 4 - (-2414)\/660. Let w = h + -46\/15. Which is the third smallest value? (a) 1 (b) w (c) -1\/7 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 21*u**2 + 16*u - 339. Let n be m(22). Is -478 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 26 = 18. Let y be (m - (-1 - 0)) + (-33)\/15. Suppose 0 = -s + 3*s. Which is greater: s or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/6*(-14 + (-1530)\/(-108))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4487 to two decimal places.\nAnswer: 1.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 506.37863 and -1?\nAnswer: -506.37863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 7) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*n**5 + 3*n**2 + 7*n + 7 wrt n.\nAnswer: -1340*n**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 8*y - 187 = -775. Let q(o) = o**3 + 28*o**2 - 3*o - 93. What is q(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -115 + -11b?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**7*f))**(-2\/65)*f**(-4\/11)*f*f\/f**(2\/35)*f assuming f is positive.\nAnswer: f**(2397\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -97*k + 952. Determine c(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128036*f + 128002*f = -952 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h - 12. Let m(n) = -n**2 + 5*n + 1. Let d be m(4). Let p be q(d). Suppose p*b - 5 = 3*b. Calculate the greatest common factor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*w**4 + 3*w**2 + w**3 + 5*w - 2*w**2 - 16*w**4 as u + f*w**2 + m*w**3 + k*w**4 + g*w and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7836.113ug to kilograms.\nAnswer: 0.000007836113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*i**2 - 29*i**2 + 15*i**2 - 18*i - 1)*(2*i - 2*i + i) as s*i**3 + n*i**2 + x*i + z and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 4. Let c be n(4). Suppose c*x - x = -470000. What is x rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*k**4 - 110*k**3 + 793 wrt k?\nAnswer: 12*k**3 - 330*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by (-63)\/(-5) - (-7 - 165\/(-25))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2 + 1. Let s be 1\/1 + (-3 - -4). Let n = -7 + 6. Let h(x) = -x**2 + x + 1. Determine n*l(m) + s*h(m).\nAnswer: 2*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -5, 52.74 in descending order.\nAnswer: 52.74, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10, p: 2, f: 4, b: 3}. Give prob of sequence fg.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -2 - -2 - (-32 + (20 - 0))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 4*f + 8. Suppose 5*q - 185 = -f. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - (3 + -6 + -2). Let o(j) be the second derivative of j**5\/20 - 5*j**4\/6 + 7*j**3\/6 + 11*j**2\/2 + 68*j. Give o(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85739 and 10.\nAnswer: 857390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n + 407982 - 408282 = 0 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + n**2 - 2*n**2)*(-2*n + 2 - 2) - 5*n + 6*n + 0*n - 7*n**3.\nAnswer: -n**3 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 - (-6)\/((-4)\/(-2)) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967842 is divided by 212.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -435 - -782. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 + t**2 - 1 - 3*t**2 - 1)*(1 - 1 + 2*t).\nAnswer: 6*t**4 - 4*t**3 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by -33084\nAnswer: 4\/2757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/780 and -91\/36.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 8*h - 4*h - 18 + 18 + h + h + 2*h - h + 1 + 2*h - 1 + (2 - 2 + 1)*(-1 + h + 1) - h - 4 + 4 + 2 - 2*h - 2)*(-2*h + 1 - h + h).\nAnswer: 14*h**2 - 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 5:55 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 356 (c) 1\/2 (d) -0.1 (e) 87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 158 + 1985?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8954744, 8954750, 8954760, 8954774, 8954792, 8954814?\nAnswer: 8954840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**6\/120 + k**5\/20 + k**4\/6 + k**3\/3 + 2*k**2. Let d be f(4). Let i(h) = h**2 - h - 1. What is i(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-18)\/(-8))\/((-30)\/(-8))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1. Let r(o) = -o**3 - 4*o**2 - 2*o + 7. Let n be r(-3). Let d(v) = v - 7. Let h(t) = n*d(t) + 28*z(t). Let a(b) = 7*b. What is h(a(x))?\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4242 divide 872501230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5452 is divided by 287.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246, 1845, 4552, 8361, 13266?\nAnswer: 19261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s + 0 - 3 + 1. Let q be l(-3). Suppose 5*i - 26 = q*m, 5*i = -0*i - 5*m - 10. Solve -2*t - i = 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 5*a**2 + 4*a**2 - 3*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 547394 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 665 + -389. Does 19 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(4 + (-9)\/2). Suppose -196 = -6*m + i*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -72*o + 3564. Determine y(33).\nAnswer: 1188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (21 - (41 - 19))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1922 + 1911. What is the nearest to 1\/3 in -0.3, 3, -2\/3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.4, -3\/4, 2, 0.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -231 divided by 351170\nAnswer: -231\/351170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158085.\nAnswer: 3, 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.7 and 8.1173.\nAnswer: 94.97241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1008) + 2 - (-1 + (sqrt(49)*4)\/sqrt(7)).\nAnswer: 8 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -568 + 491. Let v = p - -708. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*t - 300*t = -777 - 1255. Factor 56\/3*z**3 + 4\/3*z**5 + t*z**4 + 8\/3 + 12*z + 64\/3*z**2.\nAnswer: 4*(z + 1)**4*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -166316\nAnswer: -831580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -2, -203.\nAnswer: -203, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 6. Find the first derivative of 12*x**3 + 14 + y*x**3 + 0*x**3 wrt x.\nAnswer: 45*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 601*d - 88852. Give r(333).\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 12:12 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2 - -3) - (-6 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + -1*sqrt(2736))*-1*-6)**2 + 2)*3*-4 + -4 + 2.\nAnswer: -1181978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-9) + (-6)\/27. Let k = 2 - -14. Solve -s*d = 2*d + k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 612125 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -430*u - 860. Let a be f(-2). Let q(z) be the first derivative of -14\/3*z**3 + a*z**2 + 16 - 8*z. Differentiate q(y) wrt y.\nAnswer: -28*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/175*(7 + -2). Is 3 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 163 + 4*h**2 - 3*h**2 - 22 - 2.\nAnswer: h**2 + 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 12*d**2 - 22*d - 15. Give w(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + 52. Calculate the highest common factor of 135 and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 340640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3105)\/891)\/23*(-6)\/4*2?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 3*p - 3*p - 9*p = 64*f - 1600, 4*p + 100 = 4*f for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 15) to base 13.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfmnxqxmxnfq. What is prob of picking 1 q and 1 f?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**4 - 374*j**3 + 14*j**2 + 2606*j - 2244 = 0.\nAnswer: -187, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)*-1 + 4 - sqrt(567) - (sqrt(567) + (sqrt(567) - 2*sqrt(567)*6 - sqrt(567)))**2.\nAnswer: -68603 - 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 276 = -321 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**2 + 3670*p + 3669*p - 11008*p + 3669*p.\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 2*v**2 - 3*v + 2. Let r be h(3). Let d = r + -4. Which is smaller: 2\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23 (b) -1\/4 (c) 3\/2 (d) 2\/3601 (e) -4 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-1\/2)))\/m**(4\/5))**(5\/7)*m\/(m\/m**8)*m**(-7)*(m**(2\/3))**(2\/35) assuming m is positive.\nAnswer: m**(23\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(91)*-1*2*2)\/((-5*sqrt(567)*2 - sqrt(567) - sqrt(567))*-1).\nAnswer: sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-11\/2))\/x**17)\/(x*x**(-24))**(-34))**(-4\/23) assuming x is positive.\nAnswer: x**(3170\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 10:42 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -194 + 325. Let m = y + -135. Sort -5, 1, m, 7 in descending order.\nAnswer: 7, 1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 13. Let r = 23 - b. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 6*l**2 - 4*l + 5. Let y = -48 + 57. Suppose -19 = n - y. Is u(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*b - 43*b + 1253 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130016057 rounded to the nearest one million?\nAnswer: 130000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c*c**(2\/11)*c*c)\/c)\/c*(c*c*(c\/(c*c\/(c\/c**0*c)*c))\/c)\/c)**30*(((c\/c**(-4))\/c)\/(c**(-1\/3)*c))**(-2\/23) assuming c is positive.\nAnswer: c**(49460\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y**2 + 5*y - 9. Let c be 0 + 0 + 3*(-8 - -5). Let r(p) be the first derivative of -p**3\/3 + p**2\/2 - 2*p + 4. Give c*r(d) + 2*t(d).\nAnswer: d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13464 - 9606. Is h a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 770 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wxwnnwwax?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.436 - -22.473. Sort 5, j, 1\/4, -3\/4.\nAnswer: -3\/4, j, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3251100 rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 140*h**3 + h - 1. Let j be d(1). Suppose 0 = 4*t - 0*t - j. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 24*z**2 + 14*z - 14. Let q be 0 - -2*(0 + 1). Suppose 0 = q*m + 3*u + 3, m + u = -0*m. Let j(d) = 5 - 3 + 1 - 3*d - 5*d**2. Give m*f(b) + 14*j(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1004*t = 7527 + 16569 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4422066 - 848*u**2 - 4422066.\nAnswer: -848*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 95.04942km?\nAnswer: 95049.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 3*y - 8. Is 20 a factor of 34 + y\/(-6)*0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000042200426 rounded to seven dps?\nAnswer: 0.0000422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 27*m**2 - 72*m + 44. Let s be l(-30). Which is bigger: -495 or s?\nAnswer: -495","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**2\/2 + 3*u - 3. Suppose 3*q = 12*g + 9, -43*g + 2*q = -41*g + 12. Give z(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64978, -130842, -196684, -262492, -328254, -393958, -459592, -525144?\nAnswer: -590602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88196 is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c553a (base 14) to base 11.\nAnswer: -2a5485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f + 36 + 6 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 10640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 3\/18*-34.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -2*v + i + 131 - 262 + 140, -2*i = -6*v - 2 - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 3*j - 3. Let g = -13 - -8. Let w be u(g). Let t = w - -26. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/1*13\/26. Suppose -3*v = -u*v. Factor -1\/2*w**2 + v + w.\nAnswer: -w*(w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -168 + 241 + 11 + (-6 - -9).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l**3 + l**3 + 5*l**3)*(-3 + 4*l - 5*l + 3*l) to h + r*l + v*l**2 + t*l**3 + x*l**4 and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-338*l**3 + 1377 + 1380 - 2756)*(-l - 2*l + 6*l) to x*l**4 + o*l**3 + s*l + h + u*l**2 and give x.\nAnswer: -1014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3337 + 1683 + 1654 - 1032*i**2.\nAnswer: -1032*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -9*q - 8. Let v be (-3 + q + -18744)\/(4\/3712). What is v rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -13*s**3 - s**2 - 2*s - 1. Let y be r(-1). Suppose -2*g + 2 = 4*x - 2*x, -4*g - 2*x - 4 = 0. What are the prime factors of y - (1 - (0 - g))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2166*h = 1982*h + 126209 + 34907 + 58728 for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 6 = o, 44*u - 8 = -o + 49*u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703.7184 rounded to the nearest 10?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 92928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 227 + (-11)\/((-55)\/(-35)). Factor -244*g + 5638 + p + 1584 + 2*g**2.\nAnswer: 2*(g - 61)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.80537 rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (282\/(-4653))\/(-8*-4*(-7)\/(-168)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66315378.\nAnswer: 2, 3, 11052563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50423683, -50423686, -50423689, -50423692, -50423695, -50423698?\nAnswer: -50423701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 2*j - 460, 2*r - 3*j - 312 = -90. Suppose z - 641 = -r. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 10567*j - 190295. What is r(18)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -295 divided by -5.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j - 8*j - 5*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8105395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -202131202303 (base 4) in base 12?\nAnswer: -3037b57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8558932 to the power of 1\/2, to the nearest integer?\nAnswer: 2926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.35 - -4.55. Which is the second smallest value? (a) -0.5 (b) -2\/31 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*w - 661 = -93 + 348. Let r(s) = -2*s + 2. Let b(x) = -4*x**2 + x. Let v be b(-1). Let o(y) = y - 1. Give v*o(g) + w*r(g).\nAnswer: 3*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -p + 11. Let v be (-16)\/(-12)*(-108)\/p. Let m = -18 - v. Which is bigger: -8\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 + 719*g - 76. Is 131 a factor of d(27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1978255 less than -19.70046?\nAnswer: -1978274.70046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9127149.\nAnswer: 3, 757, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4067 = 14*m - 5005. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**3 + 4*l**2 - l - 18. Let r(z) = 5*z**3 + 7*z**2 - z - 32. Let s(n) = 4*r(n) - 7*y(n). Let s(u) = 0. Calculate u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94640?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2341 (base 7) in base 9?\nAnswer: 1157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 g when two letters picked without replacement from tgghttt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328*i**3 + 9162*i**3 - 11*i + 11*i.\nAnswer: 9490*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132545*d**3*y**2 - 2*d**3*y + 3*d**3 + 21*d**2*y**2 - 20*d**2 - 2*d*y**2 - 68*y**2 + y wrt d.\nAnswer: 795270*y**2 - 12*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from scswcqcsnscncw.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2226 and 742?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.04881, 3, -5, 4, -2\/21?\nAnswer: 0.04881","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 49. Suppose -5 = a - m. Let i = -2 - -8. Calculate the greatest common factor of i and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 4*r**2 + 3*r + 2. Suppose -7 - 1 = -2*k. Suppose 0 = -y + 3*u - 3, 5*y - u + 15 = k*u. Calculate the remainder when 2 is divided by t(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11965 is divided by 266.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9719 - 4857 + 12*p - 13*p - 4862 + 98*p.\nAnswer: 97*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -l + 19, -6*l + 4*i + 124 = -2*l. Let s = l - 40. Suppose 3*o + 2 + 13 = 0. Sort 4, o, s in ascending order.\nAnswer: s, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 1. Let a(b) = -81*b - 1. Let l(n) = -130*n - 1. Let y(g) = 8*a(g) - 5*l(g). What is -2*m(f) + y(f)?\nAnswer: 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -12*r. Let c(t) = 265*t. Determine -2*c(i) - 45*k(i).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -75. Let h = u - -50. What is the second smallest value in 1, h, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34243 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a microgram in nanograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1649, 6542, 14695, 26108, 40781, 58714, 79907?\nAnswer: 104360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-420)*25)\/(-1)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 5, 201, -17 in descending order.\nAnswer: 201, 5, -1, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43755*z - 63721.\nAnswer: -43755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 + -107. Let v = 756 - 755.9. Which is the closest to t? (a) -3\/7 (b) 0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208 - 97 + 156*l - 167*l - 111.\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-1)\/(-15))\/((-108)\/60))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38.1 + 38.09999533. What is c rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15640548 and 2464.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-8)\/(320\/(-3175)) + (-18)\/48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340866547 plus 1?\nAnswer: 1340866548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 - -45. Suppose -3*c - 4*v - 5 + 41 = h, -3*c + 4*v + 36 = 0. Suppose -c*d = -962 - 850. Is d a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2123*j + 12*j**2 + 2123*j + 21*j**2.\nAnswer: 33*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l + 3*l + 208 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4*16\/4. Suppose i*q = 4*q + 4. Suppose -5*o + 5 = -15. Solve -o = -4*z + q*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 9 = -2*n. Suppose -n - 21 = -6*a. Factor 6*f**3 - 12*f**2 - 3\/4*f**5 - 12*f + 24 + 3\/2*f**a.\nAnswer: -3*(f - 2)**3*(f + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 26*k**2. Let b(v) = -v - 24. Determine b(l(s)).\nAnswer: -26*s**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 755*f = 757*f + 5*b + 149, 10*b = -310 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.182 * 1.13\nAnswer: -0.20566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/6 - 1948525*n**2\/3 + 1299017*n\/2.\nAnswer: -n*(n - 1)*(n + 3897051)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + o - o)*(-70*o + 76*o + 172*o + (-4 + 2 + 0)*(-3*o + 0 + 0)).\nAnswer: 368*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(1933\/(-6) + 1\/(-3)). Calculate the greatest common divisor of u and 360.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 16*q. Let n be (2\/(-1))\/(2\/4) - 80. Let p(f) = 273*f. Determine n*b(d) + 5*p(d).\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17139 and 394?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -111 - 200*v + 94*v + 104*v - 3*v**2 with respect to v.\nAnswer: -6*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -206.13 + 207. Let r(f) = -f**3 - 28*f**2 - 25*f + 52. Let m be r(-27). Put m, s, -5 in descending order.\nAnswer: s, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -133*t**3 - 95*t**2\/2 + 688. Let k(i) = -25*i**2 - 6*i. Calculate -95*k(d) + 6*s(d).\nAnswer: -19*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -636*a**2 + 756*a**2 - 111*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 672 in -2\/11, -1\/9, -5\/6, -7?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 9:45 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6460 and 356592.\nAnswer: 1782960","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: 56188275 divided by -5\nAnswer: -11237655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2 + 29642194*z + 219664916283409 = 0.\nAnswer: -14821097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**3 - 16*d**2 - 17*d - 15. Let c(p) = p**3 - p**2 - p - 1. Let l(t) = -b(t) + 4*c(t). Suppose 0 = a - 0 + 8. Is l(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 21*p**4 - 19129347*p**3 - 32793219*p**2 - 8198313*p + 5465538 = 0.\nAnswer: -1, 2\/7, 910923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 650?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5672*g - 14367*g - 9234*g + 841*g as y + n*g and give n.\nAnswer: -17088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 7 + -23 - (-34 + 27).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oogr when four letters picked without replacement from {t: 1, g: 4, r: 3, o: 4, i: 1, f: 1}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 4*c**2 - 5*c + 1. Let a be h(-4). Let s = a + -15. Solve 5*r + 27 = 5*i + s*r, 3*i + r = 17 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2225 + -47623?\nAnswer: -45376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*g = -152*g + o + 79, 5*g - 5*o - 75 = 0. Solve -5*k - g = -11, -4*k = 2*a + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2.7, -5, 6, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d. Let i(v) = 69*v - 9. Let u(p) = -67*p + 13. Let a(y) = -3*i(y) - 2*u(y). Determine a(s(q)).\nAnswer: -365*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1202 and 597394.\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -261, -268, -273, -276, -277, -276, -273?\n\"Answer: x**2 - 10*x - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - j - 7. Calculate the remainder when 51 is divided by b(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 71*k**2 + 1400*k - 348. Determine n(-20).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i - 5*s = 22*i + 15, -3*i = -4*s + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 40371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2037.83*0.24.\nAnswer: 489.0792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*x**2 + 3257 - 38*x**2 - 33*x**2 + x.\nAnswer: 2*x**2 + x + 3257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 18*c**2 + 5*c + 90. Let k be m(-18). Solve 17*n - 3*n - 70 = k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2556 is divided by 359?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 12*x - 9)*(-x + 4*x - 4*x).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 + -6)\/(2\/10). Let v be 4 - (-4 - (-75)\/f). Do v and 1\/6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.562 - 0.008. Let a = p - -0.57016. Round a to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -113881?\nAnswer: -113879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 12*a**2 - 13*a - 15. Let u(v) = v + 20. Let i be u(-15). Suppose -x + 6*x = k - 4, -k - 26 = i*x. What is the units digit of q(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-760433.71.\nAnswer: 380216.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a kilometer in meters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104541089, 104541086, 104541079, 104541068, 104541053, 104541034?\nAnswer: 104541011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2999895 and 4515?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -266.4 * -1.154.\nAnswer: 307.4256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/32*-4*(-12)\/45?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 621 and 759?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31865, 32098, 32331, 32564, 32797?\nAnswer: 33030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*m + 3. Let h = 0 + m. Calculate the lowest common multiple of -4 - -2 - (-11 + h) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/60 and -51\/50.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(2299) + sqrt(2299) + sqrt(2299)*-4 - sqrt(2299) - sqrt(19)) + 1*(sqrt(19) + 0 + sqrt(19)) - (2*sqrt(2299) + -3 + sqrt(19) + 1))**2.\nAnswer: -216*sqrt(19) + 55408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9492 and 2504306.\nAnswer: 15025836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (158*x - 2 + 3 - 175*x)*(-3*x**4 + 5*x**4 - x**4).\nAnswer: -17*x**5 + x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/31)\/y*y*y*y**(-1\/7)\/y*y\/(y*y\/(y\/(y**(-18)\/y))*y)*y\/y**(6\/11)*y)**(-46) assuming y is positive.\nAnswer: y**(-2113378\/2387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -11 + 17 + -3 + 0. Suppose 35 = -4*a - 2*j + 141, -x*a + 67 = -j. Let k = -73\/3 + a. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**4\/12 + 476*y**2. Let c(j) = -2073*j**2. What is c(u(r))?\nAnswer: -8292*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153209 and 2107?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/11 and -10\/911?\nAnswer: 10021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*t = 4. Find the second derivative of -13*y**t + 0*y**4 - 11*y**4 - 15*y wrt y.\nAnswer: -288*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/264526 and 111\/10?\nAnswer: 1322630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 + 18)*(-1)\/(-3). Suppose 0 = b - 5*u - 4, m*b - 2*u - 21 - 13 = 0. Let q = b - 15. Let g(c) = -c**3 - 6*c**2 - c - 1. Give g(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1462704222?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1254773420128 less than 299?\nAnswer: 1254773420427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 624\/(-102) - -6 - (5911\/(-391) + 0 + -5).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*s**3 - 648056*c**2*s + 144*c*s**3 + 6*s**3 + 67 wrt c?\nAnswer: 4*s**3 - 1296112*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -180*z - 12. Let t(g) = 14*g + 1. Calculate -27*t(m) - 2*x(m).\nAnswer: -18*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 1. Let w(j) = -11195*j - 2. Calculate w(v(q)).\nAnswer: -11195*q - 11197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkg when three letters picked without replacement from {e: 1, k: 2, l: 1, v: 1, x: 1, g: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-1\/3)*g)**(-42)\/(g**(2\/43)*g*(g\/(g*g*g*g*g**14*g*g*g)*g)\/g) assuming g is positive.\nAnswer: g**(-4001\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/11))\/(i\/(i\/(i\/((i*i*i**10)\/i)*i))) assuming i is positive.\nAnswer: i**(109\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -9819\nAnswer: -78552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/2989 - 74717\/11956. Let z be (657\/20)\/(6\/545). Let l = z + -2976. Find the common denominator of m and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -336 - -22181\/66. Calculate the common denominator of y and 139\/36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.88439 millennia in centuries?\nAnswer: 38.8439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2033223503?\nAnswer: 2273, 894511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(85)*1)\/(sqrt(40)\/sqrt(32)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 58*r**4 - 2*r**2 + r**3 - 55*r**4 + 4 - 3 + 4*r**2 + 29*r**3 in the form i + u*r**4 + g*r + x*r**3 + m*r**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**6\/120 - 7*k**5\/60 + k**4\/4 + k**3\/6 - 21*k**2. What is a(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 6*v**2 + 5*v - 1. Calculate the least common multiple of s(4) and 5.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 3626 = -4*q + 3664, 29*q = -5*d + 190 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 54*r**2 - 31*r - 112. What is the lowest common multiple of 10 and p(12)?\nAnswer: 36460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9263395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8*r**3 - 12*r**2 - 125*r - 45. Let s(d) = 3*d**3 + 4*d**2 + 42*d + 15. Let k(n) = -6*h(n) - 17*s(n). What is the hundreds digit of k(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/2 - 9*z - 3\/2*z**2.\nAnswer: -3*(z + 1)*(z + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -11. Suppose r = q + 118 - 449. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8c + -5?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 632646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 9 = -3*l, 4*p = 3*l + 24 - 5. Is l smaller than 3\/173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41.9 - -79.1. Let r = 37 - s. Which is the second biggest value? (a) 3 (b) -0.4 (c) 1 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 0. Let r = i - -12. Let p be (3\/9)\/((-1)\/r). Sort 5, 3, p in descending order.\nAnswer: 5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 0*y**2 - y + 1\/2*y**4 + 5 + 0*y**3. Differentiate b(l) wrt l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10516 and 10.\nAnswer: 52580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -12 - 4*p + 12 - 5*p. Suppose f + 3 = -2*f. Let x(u) = u**2. Let a(j) = -5*j**2. Let z(h) = f*a(h) - 4*x(h). Calculate t(z(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2093, -2034, -1975, -1916, -1857?\nAnswer: -1798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0642*-0.4.\nAnswer: -0.02568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 - -1) + 979 + -962?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5354*s**3 + 6*s - 4*s**4 - 5354*s**3 + (2*s + 0*s - s)*(2*s - 2*s - 2*s**3).\nAnswer: -6*s**4 + 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1851 + 3186 = 4*l - 3*z, -5*z = 3*l - 3756. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2736886.014 to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 70, 130, 182, 226, 262, 290?\n\"Answer: -4*v**2 + 72*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 7448.\nAnswer: 22344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 12.527, 0.66 in descending order.\nAnswer: 12.527, 0.66, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*t + 9 = 0, 4*j + 4*t - 5 = -1. Suppose 1 = -j*w + 5. Suppose 0 = -w*z + 6*z - 20. Let y(n) = n**3 - 6*n**2 + 6*n + 2. What is y(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((1*sqrt(1872) + sqrt(1872) + sqrt(1872) + sqrt(1872))*-2 - sqrt(1872)))\/(sqrt(12)\/(sqrt(3)*1) - -1*sqrt(16)).\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i - i)*((-1 - 2 + 2)*(-3 + 0 + 1) - 3 - 1 + 8 - 9 + 19 - 6).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oixwxxxo. What is prob of picking 2 i and 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 2*u**2 + 2*u**2)*(-1504 - 1367 - 4956 - 8289 + 943).\nAnswer: -30346*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 756483.03 and 0.49.\nAnswer: 756483.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 - 5*h - 1. Let b be g(-5). Suppose -4*r = -r - b. Suppose 5*n - r = 27. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 189*y - 538. Let u(v) = 94*v - 276. Let n(l) = -6*b(l) + 15*u(l). Differentiate n(a) with respect to a.\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2*y + 210, -4*g + 2*y + 426 = 4*y. Let s = 158 - g. Suppose 0 = 5*b - b - s. Solve -c - 4 = c, f - 5*c - b = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 18850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n**(7\/6)*n*n)\/n*n**(1\/29) assuming n is positive.\nAnswer: n**(557\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 13863284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8445*j + 66069. Calculate x(8).\nAnswer: -1491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -201*t - 10*t + 74*t - 223*t to s*t + w and give s.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4679473853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2640*f = 50*f + 643*f + 2680*f - 499079 for f.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/8 - 30591*x\/8 - 30597\/4.\nAnswer: 3*(x - 10199)*(x + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171)*2*6 + sqrt(171) + sqrt(171))\/((sqrt(45)*2 - sqrt(45))\/sqrt(5) + sqrt(9) + sqrt(9)) + -5)**2.\nAnswer: -50*sqrt(19) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9213874 is divided by 376?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 222*r + 2671. Calculate m(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -803720 (base 10) to base 3.\nAnswer: -1111211111102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1630566 = -2*x, -27*x + 29*x - 3261174 = -4*q. What is q rounded to the nearest 10000?\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*a + 0 + 0*a**2 + 3\/2*a**3.\nAnswer: 3*a*(a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 3*c = 12*t + 134, 2*t = -3*c + 76. Calculate the highest common factor of t and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1264 or -31\/11?\nAnswer: -31\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3333593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -329*p**3 - 6*p**2 - 3*p - 3. Let x(s) = 1315*s**3 + 22*s**2 + 11*s + 11. Give 22*c(v) + 6*x(v).\nAnswer: 652*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 175657 >= 175723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -4524608 divided by -282788.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mooxmv. What is prob of sequence ov?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/42)\/((-4)\/(-24)*2)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/7)\/a)\/(a*a*a*a**(-2\/11))*a**(5\/4)*a**(1\/6)*a)**(-33\/4))**(-2\/93) assuming a is positive.\nAnswer: a**(-1559\/5208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - -3. Let z(t) be the second derivative of -t**3\/6 + 7*t**2 + 4*t. Let c be z(n). Solve h + c*h = -5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*z - 79 - 164 = 0. Sort 5, z, -25, -2.\nAnswer: -25, z, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -33*i**2. Let d(z) = -20352*z. Calculate s(d(b)).\nAnswer: -13668728832*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -9.04. Let z = r + 0.06. Let l be 5\/(-21) - 4\/(-6). What is the closest to -2 in z, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.1. Let r = -40 + 38.96. Let b = r + 0.04. Which is smaller: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 119240 and 4532.\nAnswer: 12281720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 244 - 241. Let h be (l - 184\/72)*(11 + -2). Solve h*o - 4*z = -16, 3*z + z = -3*o + 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3 + 1296968*u**2 + 28532570*u + 156927804 = 0. Calculate u.\nAnswer: -648462, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**3\/6 - p**2 - 2*p. Suppose 0 = -f - 0*f + 4. Suppose 3*l = -0*l + f*r - 4, 5*r = l + 16. Calculate m(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 11) in base 10?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02375546 rounded to 4 dps?\nAnswer: -0.0238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/16)\/u)**(1\/19)*u**29\/(u**(-38)*u) assuming u is positive.\nAnswer: u**(20049\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c + 82. Let m(t) = -t. Calculate -2*m(v) - s(v).\nAnswer: -v - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -83567.8424 to the nearest 10.\nAnswer: -83570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {a: 1, m: 19}.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 797.9805 days?\nAnswer: 68945515200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-14))\/(139\/(-973))*1\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2*d + 2*d)*(-4*d + 2*d + d)*(-77*d + 4*d**2 + 77*d - 6 + (-3*d + d + 3*d)*(-1 + 1 - d)).\nAnswer: -3*d**4 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 1:04 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-38) - 1944\/(-18468)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8975486 milligrams in nanograms?\nAnswer: 897548.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(3)*6)\/(-1*sqrt(968)).\nAnswer: -6*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/(5*(-4)\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*l - 16*l - 18*l)*(-2*l - 2 + 2)*(3*l + 2*l - 3*l).\nAnswer: 280*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - p**2 - 9*p + 3. Let x be h(6). Suppose -3*f + x = 3*n, -f - 3*f - 5*n + 175 = 0. Calculate the greatest common factor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -392*m - 36859. Determine j(-94).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l - 5*p - 195 = 0, -5*l - 5*p = 315. Let n be -3*(3 + l\/18). Let k(s) = -19*s. Calculate k(n).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**3 - 1614*l**2 + 8145*l = 0. Calculate l.\nAnswer: -543, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -277 (base 14) in base 13?\nAnswer: -2c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.5 in -2, 1, 2, 35?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**3 - 71*c**2\/2 + 4*c. Let v(g) = -g - 14. Let w(m) = 2*d(m) - 11*v(m). Determine w(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 801 and 5430513.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6 - 10 = 0. Let g be -3 + 3 - (1 + -5). Suppose -g*x + c = -8. Solve p = -x*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12401 or 8698?\nAnswer: -12401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 1\/710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 684216456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.12, 4, -9?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 23*i**2 + 23*i + 22. Let b be l(-22). Suppose b = 4*w - 8*w + 8. Solve 0 = -w*t - 2*r - 14, t - 5*r + 0*r - 23 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 4*n**2 - 2*n + 1. Let t be g(-5). Let i(l) = -l**2 + 3. Let u be i(-3). Is (t\/u)\/(8\/72) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0*n)**(-1\/25))**(-5\/3) assuming n is positive.\nAnswer: n**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*w - 3 + w**2 + 15*w**3 - 78*w**3 - 8*w**4 + 15*w**3 + w + 46*w**3 in the form v*w + r*w**4 + h*w**3 + p + d*w**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/8 - (-1)\/(-6)) + 0. Which is the third biggest value? (a) 0 (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**11)\/(h*h**(1\/4))*h*h\/((h\/(h\/(h\/(h**(1\/4)\/h))))\/h)*h**(15\/2)*h)**10 assuming h is positive.\nAnswer: h**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-100))\/((-2)\/(-2)*1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (525\/(-28))\/15*-4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**5\/60 + w**3\/3 - 16*w**2. Let a(k) = -3*k**2 + 5. Let v(l) = -2*a(l) + 5*y(l). Let h(b) = -b**2 + 18*b. What is h(v(c))?\nAnswer: -c**4 + 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -17 + 5 + 10*p - 65*p + 10 - 63*p. Let a(l) = -5*l**2. What is u(a(r))?\nAnswer: 590*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 367 + -365. Suppose 5*a - 35 = g*w, 0 = 24*w - 26*w. Solve -o = -a*o - 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(9\/3))\/((-4)\/(24\/(-15)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23570 + 471509\/20. Find the common denominator of k and 97\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 956, 2, -18, 1, 4 in ascending order.\nAnswer: -18, 1, 2, 4, 5, 956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 96213 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.203 + 1.433. Let c = 1.1 - h. Let v = c + 0.1300003. What is v rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.06 (b) -2 (c) 0.256 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -200*k. Let h(r) be the first derivative of -r**6\/360 + 22*r**3\/3 - 2*r**2 + 163. Let w(z) be the third derivative of h(z). Determine w(f(s)).\nAnswer: -40000*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2025.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**4 - 13*r**3\/2 + 42*r**2 + 145*r\/2 + 25 = 0.\nAnswer: -10, -1, -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-39)\/9 + 4)*-201. Suppose a - 5 = -5*f + 14, 3*f = 5*a - w. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132179680462 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 + 48*r**3 + 149*r**2 + 177*r + 72.\nAnswer: (r + 1)*(r + 8)*(2*r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 149*f - 2457. Give z(15).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 99? (a) 4\/7 (b) -0.5 (c) 5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-5 + 7 - 13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/5)\/((-4)\/(-10) + 0). Let a(x) = -9*x + 7*x + 6*x - n*x. Let i(g) = 6*g. What is a(i(l))?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 - 4*a + 2. Let y(n) = -n**2 + n. Let t be 1\/((4\/20)\/1). What is t*y(w) + r(w)?\nAnswer: -2*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3256 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 220, 9, -2, 68 in increasing order.\nAnswer: -3, -2, 0, 9, 68, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 75*u - 744. Calculate the highest common factor of 95 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) 146 (c) -5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 6*w**2 + 18*w + 7. Let l be (36\/(-15))\/(52\/40 - 1). Determine d(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o = -4. Suppose -v + 3*l - 1 = 7, 4*l - 16 = -4*v. Is 45 + 2 + (o - v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*h = -809, 2*i = 2*h + 692 + 878. Let j = i + -524. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1682*l + 1692*l - 3381*l + 224 = 0 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + 2 - 2 + (-1 + 1 + 1)*(-4*u + 0*u + 5*u) + 5*u + 1 - 4*u - 2*u + 33 + 18*u + 44 - 87.\nAnswer: 20*u - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*y - 120, -8*y + 3*y = -4*n + 122. Let w be -2750*(-7)\/(n\/(-16)). What is w rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 9861\/(-15))\/((-20)\/(-100)). Round m to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 2330*m**3\/3 + 2536*m**2 + 4137*m. What is the first derivative of j(c) wrt c?\nAnswer: 4660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/9, 2\/3, -2\/3 in ascending order.\nAnswer: -2\/3, 2\/9, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 74390240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*sqrt(102) - sqrt(102) - sqrt(102))*2)\/((sqrt(60) - (sqrt(60) + sqrt(240)\/sqrt(4)*5))\/sqrt(10)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c + -4?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*u + 12 = s, 0 = 5*u + 15. Suppose 147 = s*b + 15. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5.7 (b) 5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_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: Solve 6*s + 4*j - 665 = 11*s - 120, -23*s + 2*j = 2589 for s.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 m when three letters picked without replacement from {y: 2, f: 1, u: 2, m: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4662 is divided by 64.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 86065 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7548 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12468 + 19779. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(88) + (sqrt(88) - -1*sqrt(88))*3 + sqrt(88)))\/(sqrt(1152) - -1*sqrt(1152) - -2*sqrt(288)).\nAnswer: -4*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 158186, 158133, 158078, 158021, 157962, 157901, 157838?\n\"Answer: -d**2 - 50*d + 158237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -w + 2*w - 3*y, 4*w - 16 = y. Let f(i) = -4*i + 34. Let j be f(w). Let g be (20\/j)\/(-2*(-5)\/70). What is g rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3910969729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n**2 + 2190*n - 8771. Give q(4).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002151857 rounded to 5 dps?\nAnswer: -0.00215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s**(-5\/4)*s*s))\/(s*s*s*s**(1\/3)))\/(s**(4\/9)*s*(s*s*s*s**3*s*s*s*s)\/s*s))**(-42) assuming s is positive.\nAnswer: s**(3913\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (70165\/(-392924))\/((8\/36)\/((-4)\/(-5)))\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34848.9ml in litres?\nAnswer: 34.8489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 381336 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r - 1. Let w be s(1). Suppose -3*j + 5*h + 19 = w, 2*h - 4 = -2*j. Suppose 0 = v + 3*c - 7, -2*c = -4*v + 3*c - 6. Solve -b = -j + v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-48)\/15 + 5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -803063\/792 - -9131\/9. What is the common denominator of z and 7\/22?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2498.077 micrometers?\nAnswer: 2.498077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5236 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4576352 or 4576349?\nAnswer: 4576352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 376260.6 centuries in months?\nAnswer: 451512720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 12 = 2*o - 3, 4*h + 20 = 4*o. Suppose o - 4 = 2*a + 2*m, 0 = 2*a + m + 2. Solve 0 = -a*n + 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -4, 34, -1, -17 in decreasing order.\nAnswer: 34, 17, -1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5753, -7445, -9137, -10829, -12521, -14213?\n\"Answer: -1692*c - 4061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12563599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-259 + 741 - 191)*(11*r**3 - 4*r**3 + 0*r**3) + 3*r**3 + 2*r**3 - 4*r**3.\nAnswer: 2038*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -962 = 5*j - 942 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*g - 1 = 1, 3*g + 4 = 4*l. Suppose 4*o - 3 - l = 0. Is o + 36 - 8\/4 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 9:22 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 12*b**2 + 21*b + 32. Calculate the remainder when 282 is divided by w(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvunuaaj. Give prob of sequence jna.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 0*n + 1\/3*n**3 + 1\/720*n**6 - 1\/160*n**5 - 2*n**2 + 1\/96*n**4 + 0. Let j(i) be the first derivative of c(i). Factor j(s).\nAnswer: (s - 1)*(2*s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 5*g = 403, -39*n - 8*n + g = g + 3*g - 4797 for n.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 12. Let c be w(4). Suppose 2*t - 9 = -r - 0*r, 4*t = c. Let y be (6 + 5)*(0 + 7\/r). What is the greatest common factor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 2:58 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 248 - 256 = 0. Let j = -57 + l. Suppose j*w - 9*w = 600. Calculate the remainder when w is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2549319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -0*c - 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 5)*(3*v - v - v).\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1260664 (base 7) in base 10?\nAnswer: -166009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -34*n**3 - 31*n**2 - 226*n + 8. List the prime factors of r(-6).\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1192463387.\nAnswer: 67, 17797961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrzzzzfrzzrzz. Give prob of sequence zr.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 726*q**2 - 9*q + 9*q.\nAnswer: 726*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 8, -13, -5, -340, -11 in descending order.\nAnswer: 8, 1, -4, -5, -11, -13, -340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3))**(-3\/7)*(w**3\/w)\/(w\/(w**25*w)*w) assuming w is positive.\nAnswer: w**(184\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/4, -1\/2, 1, 14 in descending order.\nAnswer: 14, 1, 0, -1\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**3 + 19*t**2 - 3*t - 7. Let j(i) = 3*i**2 + i. Let v(u) = 4*j(u) - z(u). Let p(l) = -l - 1. Let d be p(-5). What are the prime factors of v(d)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/16*4 - (-1145)\/(-200) and -54\/265?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05262*65\nAnswer: 3.4203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 147984930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10087 = -195*v - 5*s - 2887, 5*s + 15 = 0 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5124\/732*(-560)\/49\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 + -10.9. Let p = 11 + s. Which is greater: 0.2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 630062 or 630082?\nAnswer: 630062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 742834.\nAnswer: 2, 371417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4}. What is prob of picking 2 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 2) + 2\/(-4). Let f(g) = -g**3 - 39*g**2 - 40*g - 79. Let h be f(-38). Does y = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 16325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4 - 4 = 0. Suppose -5*a = 3*l - 12 - 4, -a = -2*l - 11. Suppose -3*y + a*y + v = 0, -3*z + 17 = y. What is the remainder when 10 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-6))\/(3\/4). Let q = m - -15. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + -9 - (45 + -28)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b + 4*b**3 + 190 - 190 to u + p*b**3 + q*b + m*b**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**12*n**(1\/13))\/(n**(3\/5)*n*n)**17 assuming n is positive.\nAnswer: n**(-2088\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453015115.\nAnswer: 5, 7, 53, 103, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*c*i**3 + 2*c*i**2 + 365240*c*i - 3*i**3 + 122*i**2 wrt i?\nAnswer: 132*c*i + 4*c - 18*i + 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -924*s = -1308*s + 8448 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -533 = 70*o - 1933. Suppose 2*h = -5*x + 103, 5*h - 4*x - 190 = 150. Calculate the lowest common multiple of h and o.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557105287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1048539?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}