diff --git "a/data/dm_maths/full_data_1/2274_11255.jsonl" "b/data/dm_maths/full_data_1/2274_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2274_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -7 = 2408*o - 2409*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19636301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-3)\/26*((-19596)\/71)\/69.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**22)**45\/(y\/(y*y**37\/y)*y**27) assuming y is positive.\nAnswer: y**999","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24015 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 29. Suppose -z*c + 603 = -459. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzwzzzuzzuwzww. Give prob of sequence wzu.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 4) to base 5\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5827195\/12206 + -8114\/17. Find the common denominator of 91\/2 and z.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768*y - 763*y + 53352 = -56*y - 71*y for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1211569 or 1211579?\nAnswer: 1211579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 474 and 7000194.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 19*r + 60. Suppose -18 = -a - 3*q, 2*q - 82 = a - 4*a. Calculate the smallest common multiple of w(21) and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-5*8\/(-40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200372?\nAnswer: 2, 50093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -8, 11941\/10, 0.3, 4, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 3*j - 546 = -566, -165 = -5*u + 32*j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 3*f - 1. Let c be t(-3). Suppose -4*h = -n - 0*n - 20, -3*h - n = -15. Solve 4*u + 4*s - 4 = 0, h*u - 3 = s + c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -4.7.\nAnswer: 18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -2\/9, 6, 1, 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h - 33*h = -132. Suppose 0 = o - h - 24. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j + 3. Let m(g) be the first derivative of -65*g**2\/2 + 40*g - 59. Calculate 40*a(b) - 3*m(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2937 and 76273?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqooqoqo. Give prob of picking 2 q.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*t + 139, t - 51 = f - 8. Suppose -2*o + 3*b + 176 = 0, -254 = -5*o - 2*b + 148. Let i = o + t. Is i 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 143341?\nAnswer: 11, 83, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14067135 divided by 1563015.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4241260 - 12.70676.\nAnswer: -4241272.70676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 1. Suppose 31*c - 24 = 46*c + 21. Let b(h) = -59*h**2 - 3*h - 3. Give c*g(w) + b(w).\nAnswer: -59*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 23 - 13*l**2 - 14 + 2*l**2 - 17*l + 5. Let t(w) = 4*w**2 + 6*w - 5. Determine 6*o(i) + 17*t(i).\nAnswer: 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 36 = 2*l. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200592811.\nAnswer: 5237, 38303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2670590, -2670591, -2670592, -2670593?\nAnswer: -2670594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(2 - 10\/3). Suppose -r*q - z - z = 2, 0 = 3*z + 9. Let y be (1 + -1)\/(2 - 4). Solve -4*b + q + 11 = 2*m, b - m = y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*n**4 - 10*n*y - 3*n + 6*y wrt n?\nAnswer: -8*n**3 - 10*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63945055549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 46 - 15 = m, -5*k = -5*m - 25. Solve -2*v - 4 = k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(4\/2)*(-6)\/(-54)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 83\/5, 6\/5, 44, -17, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1262 and -16.2418.\nAnswer: -20497.1516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47134940.34 + 8.\nAnswer: 47134948.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t - 12. Suppose -7 = y - 3*l, -5*y + 3*l = 6*l - 19. Let m(i) = 3*i**2 - 3*i. Calculate the lowest common multiple of n(6) and m(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11518 divided by -2?\nAnswer: -5759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*a - 6*a - 1740. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5564 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -7686.7592626454?\nAnswer: 7682.7592626454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 3\/(3 + 0) - (-74 - 5)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -54\/19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 10*p + 18 = 0. Let w(d) be the third derivative of 0*d + 1\/84*d**4 + 16\/735*d**7 + 0*d**3 + 0 + 2\/105*d**p - 1\/30*d**5 + d**2. Factor w(u).\nAnswer: 2*u*(u + 1)*(4*u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2. Let s(m) = 5*m**2 - m + 1. Let w(a) = 6*r(a) - s(a). Calculate w(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1148*b**3 + 2*b**2 - 5*b - 8. List the prime factors of d(-2).\nAnswer: 2, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1230231 (base 4) to base 12.\nAnswer: 4039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 12:06 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 405*r + 403*r = -94, k + 0*r = -2*r - 18 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 6 - 6. Let n = 9\/2 + q. Which is smaller: -0.1 or n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -o - 0. Let y be 3*((-24)\/(-9) + o). Suppose 2*r - 60 = -4*k, y*r - 41 = 4*k + 3. What is the remainder when r is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6*2667\/1036. Let z be (8\/((-4)\/(-2)))\/(-37). Let a = z - b. What is the common denominator of 89\/6 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 714827745?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 3:25 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z - 23800 + 143464 = 0. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-154)\/8) + 29\/((-3248)\/(-3408))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w. Let m(k) = 2187936*k + 2. Calculate p(m(g)).\nAnswer: 10939680*g + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 40 + 24 - 4*i)*(2*i + 7*i**2 - 2*i).\nAnswer: -28*i**3 + 35*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/2260 and -53\/1130.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 3*p**2 - 2*p + 9. Give i(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -637, -1271, -1913, -2563?\nAnswer: -3221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 856\/56 - 2\/7. What is the second derivative of 1 + 11*s - 1 + 3*s**3 - l*s wrt s?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 p when three letters picked without replacement from wppppwwpwp.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 15 = 3*j + 2*k, -5*k = 3*j + 32 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -706, -1407, -2108, -2809?\nAnswer: -3510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*(sqrt(720) - (sqrt(720) + 3 + sqrt(720) - sqrt(720) - sqrt(720))) - (sqrt(1125) + -2 - -1*sqrt(45)*4))**2*-5.\nAnswer: -5634 - 150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -148, -262, -364, -448, -508, -538, -532, -484?\n\"Answer: i**3 - 121*i - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**6)\/m*m**2\/m)\/(m**(-4)\/(m**(-3\/7)*m)) assuming m is positive.\nAnswer: m**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 355, 0.01, 1, -0.18.\nAnswer: -3, -0.18, 0.01, 1, 4, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from {x: 2, c: 1, v: 4, q: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2150)\/(-774)*1\/((-10)\/(-6)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 103 = 29 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(304)*-2 + -2) + 2 + (2*(sqrt(304) - (-1 + sqrt(304) - sqrt(304))))**2.\nAnswer: 8*sqrt(19) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*q + 3*c + 10 = 536*q, -2*c + 14 = -18*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1662515 less than 2.8986?\nAnswer: -1662512.1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000604423004 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7980166822 rounded to four decimal places?\nAnswer: 0.798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - n + 8806*n**3 - 8813*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 38*m**2 + m + 38. Let b be r(-38). What is the hundreds digit of 2 + 1249 + 2 + (-2 - b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 84 = 4*f, -5*f + 22*w + 105 = 20*w. Calculate the lowest common multiple of f and 85.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - ((18 - 54) + 28)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + 35 + 0 + 244 + -352 + 102.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 3354 - 1420 = 0. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1427530.089 to the nearest ten thousand.\nAnswer: 1430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 12*c + 0 - 11\/12*c**4 + c**3 + 0*c**2. What is the second derivative of y(i) wrt i?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 637 - 357. Is 20 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(1\/4))\/x)\/(x*(x*x**(-4\/3))\/x*x)*(x\/(x*x\/(x*x**(-1\/2))))**(-40))\/((x**(-2)*x*x**(-2\/3))\/((x*x**(-8))\/x**(-2\/9))) assuming x is positive.\nAnswer: x**(521\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000381 to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-14)\/q**(1\/19)*q**(-8)\/(q*q*q*(q\/((q**14\/q)\/q))\/q) assuming q is positive.\nAnswer: q**(-248\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 11:29 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*g = 4*g + 884 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, s: 1, v: 1, a: 1, o: 2}. What is prob of picking 2 o, 1 s, and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 977 - 137. Calculate the common denominator of -6 + (-4354)\/(-700) + -1 and g\/(-77) - (-2 + 1).\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144438078.\nAnswer: 2, 3, 607, 39659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425645360 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10234*x + 14 = 10232*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0, 129, 0.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 1 + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 441\/12 - (-1)\/4. Let i be (-12)\/(-39) + (-280612)\/(-949). What is the highest common factor of h and i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4673 = -4673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 146*k - 754. What is l(6)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0674 + 161156397323.\nAnswer: 161156397322.9326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usp when three letters picked without replacement from {c: 5, u: 1, z: 1, s: 3, p: 1, g: 2}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57920509.\nAnswer: 23, 79, 127, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -52, -112, -184, -274, -388, -532, -712?\n\"Answer: -a**3 - 53*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*u + 1150 = -205*u. Does 23 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 4:12 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -978, -976, -974?\nAnswer: -972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3046754 years in millennia?\nAnswer: 0.0003046754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28800 by 320.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -294ba + 4a2?\nAnswer: -29018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (7 - -1) - ((57 - (-26 - -7)) + -18).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.435 - 0.035. Let l = -0.02 - 0.13. Let g = -0.05 - l. What is the biggest value in -3, j, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1047395 and 375.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 1)*(-2 + -1). Let o(k) be the second derivative of -22*k + 1\/2*k**2 + 0. Let r(q) = q + 8. What is g*o(h) + r(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-10) + 58\/5. Suppose 0 = -t - 3*t + m. Suppose 5*h = -5*f + 75, -3420*h + 4*f = -3416*h + 4. Solve 5*u = -2*y + 11, -h = 2*u - t*y - 19 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/30*-8*(-3)\/34\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -228*m**2 + 11398*m + 105. What is s(50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.52781 decades in millennia?\nAnswer: 0.2552781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 + 1 = 0. Let v be (2 - t)\/((-3)\/(-9)). Suppose 0 = l - v*l + 16. Solve 0 = 8*x - 4*x + l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2211020100122 (base 3) in base 10?\nAnswer: -1500542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-6))**29 assuming t is positive.\nAnswer: t**(-145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*x + 32*x + 2*x**4 - x**3 - 3 - 17*x to the form d*x**3 + w*x + c + s*x**4 + z*x**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 33 - 6. Let h be -1*96\/(-21) - 4. Which is the third smallest value? (a) h (b) 6\/11 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*r = 3*r + 8, 2*d - 4*r = 14. Let m(p) = 3*p - 4*p - 1 + 5*p. Let s be m(d). Solve -2*v - 3 + 2 = -3*z, 2*v + s*z - 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 239.3 - 236.3. Let i be (2\/(-4))\/(5\/2). Which is the smallest value? (a) z (b) i (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 7*m**2 - 7*m + 8. Let j be r(-7). Suppose 2*a + j = 5*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -760 + 202. Let u = 555 + p. Which is the third smallest value? (a) 3 (b) -6 (c) u (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79812 divided by -6.\nAnswer: -13302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 92 = 3*u + 111, -5*u - 21 = -3*q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 0 - 8*o - 13\/2*o**2 - 10\/3*o**3. Find the first derivative of w(d) wrt d.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5934*u**3 - 71*u**2 + 922*u - 61. Let d be z(-41). What is d rounded to the nearest one million?\nAnswer: 409000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1751*h**5 - 387*h**4 - 81*h + 30525?\nAnswer: 35020*h**3 - 4644*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -64*j**2 - 7*j + 85. Let u(x) = 32*x**2 + 3*x - 42. Let l(i) = -7*u(i) - 3*v(i). Find the first derivative of l(z) wrt z.\nAnswer: -64*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*((-6)\/(-3) - 3). Let w(z) = -z**3 + 4*z**2 + 4*z + 7. Let c be w(5). Suppose r*p = p - c. Solve p*t = -2*t + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -107 + 0*s**2 - s + s**2 + 106 - 2*s**2. Let q(t) = 2*t**3 - 4*t**2 - 7*t - 5. What is -q(y) + 5*z(y)?\nAnswer: -2*y**3 - y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**2 + 53*x + 25. What is t(-7)?\nAnswer: -591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 856695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50672 is divided by 16883?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/42)\/((-503)\/(-77462)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*c*l*p**2*t + 8*c*l*p**2 - 38*c*l*p + 26*c*l*t + 4*c*t + 91*l*p**2*t - p*t wrt p?\nAnswer: 112*c*l*t + 16*c*l + 182*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*w + 65*w + 3348*w**2 - 197*w - 3350*w**2 + 67*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -1bd4a9?\nAnswer: -1bd4ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-5)*15\/(-12))\/(3\/(-12))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**4\/3 + 5894*l**3\/3 + 4339456*l**2\/3 - 4345352*l\/3 = 0.\nAnswer: -1474, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/1*55\/(4400\/96).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (46 + -47)*1*-2. Solve l + 5*a - b = 4*l, a = 5*l + 18 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = b + 2. Let t = b - -12. What is the greatest common divisor of 64 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4888 = -5*o, -5*o - 3*a + 1129 = -3758. Suppose o = 8*k + 282. List the prime factors of k.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 3\/4, -36, -110, 0.7 in descending order.\nAnswer: 11, 3\/4, 0.7, -36, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44\/(-55)*(-1 + (-3)\/2). Let j be -2*t*(-2)\/12. Solve j*a**2 - 8\/3*a + 2 = 0 for a.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196926540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8171534 rounded to four dps?\nAnswer: -1.8172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -1378, -231, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1324468015 rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28573 - 239493 + 6970 = -24*l. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 2*a - 18. Let p be x(8). Let v = -64 - p. Let w(s) = 78*s**2 + 2*s - 1. Let g be w(v). What is the highest common divisor of 45 and g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, m: 8, a: 1, u: 1, f: 1}. What is prob of picking 1 a and 1 f?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - 112?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1333123 (base 5) in base 14?\nAnswer: -9d32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*z + 3*z + 16, 0 = 3*z + 2*l - 22. Solve -z*i + 8 + 4 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-2))\/(-1))\/((-86)\/12470*5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -112 (b) -1 (c) 1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91345 to the power of 1\/2, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 + 4*x + 1. Let m be t(4). Let r be (9\/m)\/(2\/(-10)). Calculate the greatest common divisor of r and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -0.8. Let f = 0.42652 - 0.02652. What is the biggest value in l, 4, -1, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -71*c**3 + 3*c**2 + 9*c + 7. What is the lowest common multiple of 24 and r(-1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 72 = -4*s, -45 = 4*s - 9*s + 5*h. Is s at most as big as 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-121896)\/5544 - -22)\/((-55)\/(-154)).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q - 2*q - 2*q**2 + q**3 - 5 + 5*q. Let o(f) = -3*f**2 - 6*f - 6. Let k(w) = -6*c(w) + 5*o(w). What is the third derivative of k(a) wrt a?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(10\/(140\/21))\/(6\/(-8))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (4 - (-34 - -27))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/6 + (-29)\/3. Let f = 26 + n. Is 15 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21230555 - 11?\nAnswer: 21230544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 10938*u**3 - 2*u**2. Let z be 8*(-1 + 9\/6). Let h be y(z). What is h rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 3, -4 in decreasing order.\nAnswer: 3, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 186165324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15025 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*18\/27 - -37. Solve 0 = -29*q + a*q - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -1 - 11. What is the closest to 1 in w, -0.3, -2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -123835811.4 to the nearest one million.\nAnswer: -124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1596, -1201, -810, -423, -40?\n\"Answer: -2*l**2 + 401*l - 1995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.4, 1\/3, -0.96 in descending order.\nAnswer: 1, 0.4, 1\/3, -0.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 50\/5 - (0 + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 6)*(212319 - 212319 - 123*k**3 - 4*k**4).\nAnswer: 4*k**4 + 123*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 117.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 314.046891 to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 353, 4\/29, -3?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**3 + 132*h**2 + 276*h = 0.\nAnswer: -2, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 168b?\nAnswer: -1686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8*s**2 - 663*s + 37009. Determine t(-121).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101110110100 + 1011?\nAnswer: 11101110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (2 + -15) - 57\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 507 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -65*v + 506. Determine r(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 - 1796 - 3*s**3 - 1839 - 7719.\nAnswer: 2*s**3 - 11354","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 4*y = 16*a + 30, -4*a = 5*y - 15. Let r(p) = -p**2 + 8*p + 13. What is r(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 23 + 3)*(-5)\/10. Sort -5, w, -3 in increasing order.\nAnswer: w, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -d - 4*y, 4*d - 39*y - 5 = -34*y for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 14*b - 10. Let o be z(-11). Suppose -f = 6 - o. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/53 - 1459\/212. What is the common denominator of (4059\/216)\/41 + -5 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2103.702t to micrograms.\nAnswer: 2103702000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**0*l*l**(-7)*l)\/((l*l**2)\/l*l)**9)**27)**(1\/19) assuming l is positive.\nAnswer: l**(-864\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*r - 62338 = -61506 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -114242*f**3\/3 - 2868*f**2 - 72*f + 898. Factor c(a).\nAnswer: -2*(239*a + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2.31?\nAnswer: -2.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 - -116. What is the greatest common factor of y and 480?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -47*q + 38. Let a be t(4). Let s = -153 - a. Let l(b) = -b**2 - 2*b. Give l(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/60 + 4\/10\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = 11*w + 12. Suppose -w*i - 20 = -8*i. What is the remainder when 7 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-7\/3)*s*s*s**9*((s*s**(-3))\/s)\/s**(-5\/3) assuming s is positive.\nAnswer: s**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-8)\/(-588))\/((-102)\/(-119))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1716201*r**2 + 1741586 with respect to r.\nAnswer: -3432402*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10*7\/(-14).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*n + 62514, -17*m = -n - 21*m + 31237. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017415 is divided by 203479.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/10)\/((-2)\/(-5)). Suppose 3*m - f*m = 0. Suppose m = -r - 3*k - 7, 5 = -2*k - 3. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-6))\/((-1)\/1))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**2 - 18*s**2 + 3*s**2 - 306*s + 87*s + 85*s + 134*s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9386007.51 plus 66936?\nAnswer: 9452943.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 5:23 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 6. Solve -g*k = -3*x, 4*k = x - k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 divided by 225?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 11:54 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/63*3*6\/(-3)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 395 + -285. Suppose h + i = 130. What is the remainder when h is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + v + 135 - 4*v**3 + 4*v**3 + v**3 + 75. Let f be b(0). Let x = f + -124. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -625 - -1?\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**4\/4 - 94*u**3 + 561*u**2\/2 + 2825*u. Solve p(c) = 0.\nAnswer: 1, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(68))\/sqrt(4) + -3)**2.\nAnswer: -48*sqrt(17) + 1097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27157734 to the nearest integer?\nAnswer: 5211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**2 - 4*t - 3. Suppose -12*f - 4 = -10*f. Let g be y(f). Let k be (-1)\/(g\/(-216)) + 8\/(-28). Solve -5*m + 26 = 4*b - k, 2*b - 12 = -m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/3514 and 97\/151102.\nAnswer: 151102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {z: 2, r: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1092*r - 1461*r + 154176 = 3315*r - 1050*r for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -212.43*-33.268\nAnswer: 7067.12124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25051*t - 134006?\nAnswer: 25051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y = 0. Let k be 10\/8*(4 + y). Let j(i) = 2*i**3 + 7*i**2 + 4*i + 6. Let h be j(-3). Solve o = k*v - 9 - h, 5*v = -3*o + 24 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*w**3 + 1333435*w**2 + 225338*w + 79 wrt w?\nAnswer: 210*w + 2666870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -636295.\nAnswer: 2\/127259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(22)\/(sqrt(66)\/(sqrt(42)\/sqrt(7))) + (sqrt(10)\/sqrt(5) + -4 - 2*(sqrt(2)*-1)**2).\nAnswer: -12 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -3. Let k be (-1*-3*b)\/(-1). Is (-632)\/(-12)*k\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -136, -131, -102, -43?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 491*a**2 + 8*a - 85136 with respect to a.\nAnswer: 982*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*x - 6, -t + 0*t - 3*x = 5. List the prime factors of (t + 9\/2)*46.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.4, 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 292087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 + 4)*(50*w**2 - 8 + 10 - 7*w**2) in the form q*w + m + n*w**2 and give n.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 equal to -16193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107820, -215619, -323420, -431223?\nAnswer: -539028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2996?\nAnswer: -5\/2996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737241.\nAnswer: 3, 245747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 8*q**5\/15 + 25*q**4\/4 + 17*q**3 - 16*q**2\/3 - 68*q + 573. Solve k(l) = 0 for l.\nAnswer: -51\/8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 96\/9 + 4\/(-6). Let p = -93 + 113. Let s be (-4)\/(p\/5) - -6*1. Solve z*b = s*b + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 20 = 4*q, 2*q - 3 - 6 = -f. Let l = 24 + f. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-6))\/((-1)\/6). Suppose -2*o = -z*w - 10, o - 2*o = 3*w + 7. Let l = -2 + o. Is -1 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8*p - p - 2*p. Let u(g) be the first derivative of 0*g + 3\/2*g**2 + 125. What is j(u(y))?\nAnswer: -33*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.11, 147, -1\/4, -2?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Suppose -10 = x - a*x. Solve -3*c - 13 = 4*z, 0*z + 2*z + x = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -2*q - 7*d, 2*q + 3*d - 7280 + 7270 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 7*x + 0*x - 3*x + 0 - 2.\nAnswer: -2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110950349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p + 2. Let a(h) = 14*h + 6. Let j(g) = 4*a(g) - 11*s(g). Let t(i) = i - 1. What is -j(z) - 2*t(z)?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -12. Let r = q + 1.5. Let h = -33 - -29. Sort -2, h, r in decreasing order.\nAnswer: r, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 11*z**2 - 7*z - 6. Suppose 0 = -4*o - 14 + 54. What is the lowest common multiple of 18 and p(o)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 3*j**2 - j. Let l be (8\/6)\/((-14)\/(-21)). Let i be r(l). What is the first derivative of -1 - i - u**3 + 2*u**3 + 5 wrt u?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-11))\/(-1)*((-3081)\/(-78))\/79\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 9 - 35) + 7 + -18\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2 - (-33)\/(-54). Suppose 3*p = 1 - 4. Let x be -2 + p\/3*-8. What is the second biggest value in -2\/3, x, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -374 - 1?\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 4*m + 3*w, 0 = -5*m + 2*w + w + 61. Let g(j) = 30*j - 1. Is g(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**5\/300 + 49*h**4\/120 - 289*h**2. Factor l(m).\nAnswer: -m*(m - 49)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 23. Put -3, j, -5 in descending order.\nAnswer: j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 204303011 or 204303009?\nAnswer: 204303011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.08, -3\/4, 3, 1\/7 in decreasing order.\nAnswer: 3, 1\/7, -0.08, -3\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 35*x**4\/12 + x**3\/2 + 7*x**2\/2 + 8*x. What are the prime factors of z(-2)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(21\/(-24)) + -3. Sort 0, 2, x, 1\/15 in increasing order.\nAnswer: 0, 1\/15, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*n + 5, -3*s + 18 = -3*n. Suppose -2*f - g = 0, 4*f + 0*f = s*g + 28. Suppose -36 = -f*c - c - 5*v, 4*v - 12 = 0. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-11\/4)\/((y\/(y*y**(-6)))\/y*y) assuming y is positive.\nAnswer: y**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 27*k**3.\nAnswer: -27*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12695 and 295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**3\/2 + 3*c**2\/2 + 3*c\/2 - 2. Let s(b) = 0. What is b?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -218382.06 rounded to the nearest 100?\nAnswer: -218400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 54) + (50 + -377 - -341)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 70.99058ng?\nAnswer: 0.00000000007099058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 5:56 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*x - 5*x + 18*x - 6*x in the form u*x + s and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/2)*m)\/m)\/(m*m**(-5)*m))\/(m**(2\/11)\/m*m**(2\/5))*(m\/m**(-2)*m*m\/(m\/(m*m**(-3\/8))))**5 assuming m is positive.\nAnswer: m**(11899\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 39, -5, -62, -8, 31 in decreasing order.\nAnswer: 39, 31, 2, -5, -8, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6775, -13213, -19237, -24853, -30067?\nAnswer: -34885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-8)\/g)\/g*g\/g**9)\/(g*g\/g**19*g)**(-9) assuming g is positive.\nAnswer: g**(-162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -562328428*j**3 + 861741091*j.\nAnswer: -3373970568*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011001110010010 + -1101?\nAnswer: -110011001110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 745312.3103 - 0.\nAnswer: 745312.3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28009.3 + 28009. Sort -12, 0.4, v, -1, -0.1.\nAnswer: -12, -1, v, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -19. Suppose -w - o = 25. Let h = 70 + w. What is the least common multiple of h and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2.7. Which is smaller: z or -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 12*d - 142*d = -4108 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.8817 - 0.0083. Let c = q + -1.11. What is the nearest to -2\/5 in 5, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 58916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 1\/3*g**3 + 1 + 11\/2*g**2 + 14*g. What is the units digit of w(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/109 (b) -2\/19 (c) 19 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(-5 - (-119)\/14). Solve -5*d - 7 = j*r + 3, -d - r = 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -11. Let m = 0.9 + -0.4. What is the second smallest value in t, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2693 + -2690. Solve 4*p + b*u + 0*u + 22 = 0, -2*p - 2*u = 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 3*d**2 - 4*d + 4. Let n be u(4). Suppose 2*b = -n*a + 46, a + 33 = b + 5*a. Solve b - 1 = -3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-4) + (-1086)\/(-8) + 1. Suppose 5*c + 14*x = 12*x + 325, 2*x - b = -2*c. Calculate the lowest common multiple of c and 54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from aamamamaaaa?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 14*d - 3*d + 20 - 2*d**3)*(-40 + 40 - 12*d).\nAnswer: 24*d**4 + 204*d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -626.109 - 0.691. Let b = -627 - l. What is the second biggest value in 1\/3, -13, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 1154.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + d**2 + d**2)*(-1560*d - 74 - 24 + 97).\nAnswer: -4680*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4301512529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -19*s - 19. Let i(v) = -3*v + 9. Give -a(t) + 4*i(t).\nAnswer: 7*t + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 13*g**2 + 44*g - 17. Let o be a(5). What is the highest common factor of 117 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -125702358 to the nearest ten thousand.\nAnswer: -125700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6334992 - -17585492. Suppose v = y + 17249500. Suppose 0 = 5*m - 0*m - v. Round m to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86)\/(-1075)*(-195)\/12 + 4\/30.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 301 and 1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 - 3040*m.\nAnswer: -3040*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**2 - 10*c - 3. Let p be t(-8). Let x be 4\/p + 116999998\/(-13). What is x rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11074 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 4*i = 9, 0 = k + k - i + 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 216\/5. What is the smallest value in b, 0.4, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**3\/6 + 5*o**2\/2 + 12*o. Suppose -5*w + 19 + 6 = 0. Suppose w*y + 1 = 21. Give s(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2071*g**2 - 3089*g**2 + 1090*g**2.\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2180 divided by -10?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-16874)\/728 + (-24)\/42 and 0 + (-37)\/5 + 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*z - 91 - 52. Let w(u) = -6*u**3 + 10 - u + 5*u**3 + 2*u**3 - 11*u**2. Let x(f) = -2*f**2 + 2. What is z*x(h) - 2*w(h)?\nAnswer: -2*h**3 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1434, 2849, 4202, 5463, 6602, 7589?\n\"Answer: -5*d**3 - d**2 + 1453*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 4*b + 7. Let j be g(-6). Let l(y) = -3 - 4*y - y**2 + 6 + 0*y + 0*y. Give l(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/3 (b) 304 (c) -3 (d) 0.4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250194 is divided by 294.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*k**4*m**3 - k**4*m**2 - 2*k**2*m - 28*m**3 + 2 wrt k.\nAnswer: -216*k*m**3 - 24*k*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*p + 9*p - 3*p, -x + 5*x + p = x + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17317851?\nAnswer: 3, 5772617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q - 12*q + 37*q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*h + 22*h + 23*h + 2587 = 0 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + 20. What are the prime factors of 1 + (-3)\/((-12)\/d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381154 is divided by 42248?\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 136 (b) 0.1 (c) -4\/5 (d) -1 (e) -2 (f) -171\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-5)*663\/(-351)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16997197, -16997200, -16997203?\nAnswer: -16997206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1311 + -1279. Solve -3*w = 14*v - 19*v, 4*v = -4*w - s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 6 = z, o + 15*z - 11*z = -24 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from qhgnthgfqhtq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 1306?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(3\/5))**(1\/2)*(l**(-1\/6))**(5\/16) assuming l is positive.\nAnswer: l**(359\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -38*t + 1 - 3*t**2 + t**2 + 40*t. Let l(y) = 3*y**2 - 3*y - 2. Determine -4*f(g) - 3*l(g).\nAnswer: -g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) 0 (c) 878300\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 6*m**4 - 3639*m**3 + 552669*m**2 - 273609*m - 275427 = 0.\nAnswer: -1\/2, 1, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 8*a - 3. Let p(y) = 3*y**2 - 15*y + 5. Let n(r) = 2*p(r) + 5*x(r). Is n(-13) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 5*h**2 - 5*h - 2. Let z(f) = 4*f**2 + 67 - 72 - 24*f - 2*f**2. Let p be z(12). Let t(x) = x**3 + 8*x**2 - 8*x - 3. What is p*t(b) + 8*y(b)?\nAnswer: 3*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 303 and -675725523.472.\nAnswer: -675725220.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88380a (base 12) to base 5.\nAnswer: -1023203030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-3)*6\/(-5). Let f(z) = -4*z - 15. Let r(u) = u + 5. Let n(l) = y*f(l) + 11*r(l). What is the remainder when n(-11) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7029 and 797401?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**4 + 42*n**3 - 1413*n**2 + 9492*n - 18816 = 0?\nAnswer: -32, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 0 + 6)*48. Suppose -18 = -2*o - o. Suppose -c + o = 2*c, 5*c = -4*m + 82. Calculate the greatest common divisor of m and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 112082 = -4*w, 4*w + 60879 + 219302 = 5*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 0*g**2 + 3*g**2)*(3*g**2 - 111 + 111 + (4*g - 8*g + 5*g)*(1 - 1 - 2*g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*b + 54*b - 16*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - (-217)\/(-35)) + (-22)\/(-10). Let j(u) = -3*u + 13. Let v be j(o). Solve 2*p - 7*p = t + 27, -p = t + v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 times 8?\nAnswer: 22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5771780417209*u**2\/2 + 12012265*u - 25\/2.\nAnswer: -(2402453*u - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, -772 in ascending order.\nAnswer: -772, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1022 - 3242304?\nAnswer: -3241232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -3*j - 6, 6 = -5*q - 101*j + 98*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 + 14650*x - x**3 + 2*x**3 - 14663*x.\nAnswer: x**3 - 13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 19901610?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64 in 1, -5.6, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.2 (b) -8 (c) 0.3 (d) -4\/7 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-820)\/7 - (-9)\/63. Suppose -9*k = -8*k - 177. Let w = k + a. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6900\/165 + -2 + -40?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -178338555323?\nAnswer: 178338555316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9*j - 5. Let u be f(4). Suppose 13 = -4*x - 5*z - 20, u = -5*x + 4*z. Let i = x + 12. Solve -4*q + 3*g + 32 = 0, 3*g + 17 = i*q - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*r**4 + 108689*r**3 - 21*r**2 + 10149*r - 1623 wrt r.\nAnswer: -252*r**2 + 652134*r - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*j = 2*f + 143*j + 7, 0 = 4*j + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.164285 millilitres?\nAnswer: 0.001164285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 51, -0.1, -0.3 in decreasing order.\nAnswer: 51, 2, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovmnaboa. Give prob of picking 1 m, 1 o, and 2 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/15)\/(-2*1\/5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1372 and 288806.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -284, -559, -834, -1109?\nAnswer: -1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2*q - 23, -q - q = 5*k - 17. Suppose -48*u = -47*u - k. Suppose u*n - 12 = 4*n. What is the least common multiple of 15 and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 2*n - 8. Let a = n - 5. Sort a, -4, -5 in ascending order.\nAnswer: -5, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*i = 98*i + 25 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7709 - 3738 - 3843)*(8 - 4*w - w + 6*w) to the form l + b*w and give b.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12074344 (base 8) in base 13?\nAnswer: 71b37b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 4*m**2 + m + 1. Let t(b) = -77*b**3 - 7*b**2 + 629*b - 1. Let y(j) = -h(j) - t(j). What is the second derivative of y(r) wrt r?\nAnswer: 456*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328800 rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**2 + 3*k + 4. Let g(y) = -4*y**2 - 4*y - 5. Determine -3*g(f) - 4*o(f).\nAnswer: -8*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-64)*(58 + 12848\/(-220))\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 77\/264 - (-2 - (-39)\/24). Sort 0.07, q, 0.05, -1 in decreasing order.\nAnswer: q, 0.07, 0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5))**(2\/11)*w\/w**(-2\/9)*w**(2\/11) assuming w is positive.\nAnswer: w**(731\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31968)\/1665)\/((-12)\/20).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 764.0243 centimeters in micrometers?\nAnswer: 7640243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -850765, -850762, -850759, -850756?\nAnswer: -850753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 458752 (base 10) in base 2?\nAnswer: 1110000000000000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - s + 2*d + 4, 0 = -2*d - 2. Let m(v) be the first derivative of v**2 - v - 4. Let b be m(s). Solve -2*z + 2*y - 29 = -3*y, -y = 4*z + b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.07 from 31434316.\nAnswer: 31434315.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -9. Let j = o - -12. Calculate the highest common divisor of j and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 33341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230 (base 4) to base 6.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.1830324 days?\nAnswer: 15813999.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 4:13 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 70 = 5*m, 3*m = 2*u + 1 - 19. Let y be 216\/2 - 0\/(-7). What is the greatest common factor of y and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 185324 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 157*v = -994 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004175500671 rounded to seven decimal places?\nAnswer: -0.0000418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/11, 2\/5, 5, -6 in ascending order.\nAnswer: -6, -0.3, 2\/11, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1005750 + -2 + -3)*(-3)\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 5059?\nAnswer: 252.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 227968 and 88608?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1144, -1172, -1240, -1366, -1568, -1864, -2272?\n\"Answer: -3*x**3 - 2*x**2 - x - 1138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 396328 (base 10) in base 5?\nAnswer: 100140303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -989 divided by -940.\nAnswer: 989\/940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m + 7*m - 7*m - 16*m in the form a*m + k and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3\/5 - 146*k**2\/5 - 3136*k\/5 - 20992\/5 = 0. Calculate k.\nAnswer: -41, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 - 23*i + 1546. Let z(x) = -x**2 + 8*x - 515. Let g(p) = 6*s(p) + 17*z(p). Is g(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*i - 4*u, 0 = -i + 3*u - 4*u - 5. Put 2, -2, -5, i in descending order.\nAnswer: 2, i, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17460 - 17376. What is the remainder when 365 is divided by z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 366 = -q - 2*q, i = -q + 126. Let f(g) = -q*g - 5*g**2 + 123*g + g**2. Give f(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 44136308 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -237950476.\nAnswer: -237950479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*(-5 + 4))\/1. Factor -12*h + 9 + 3*h**2 + 4 - w.\nAnswer: 3*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 924, 966, 1008, 1050?\n\"Answer: 42*c + 882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 + 165 - (1 + 5 - 0) is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1432)\/(-57280)*(-4)\/(-66)*12?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75913 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2013\/(-2196))\/(-11))\/(1\/((-3)\/23))?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a hour in minutes?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 3*p**2 - 2 + 0*p**2 - 2.\nAnswer: -2*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7 = 17. Suppose b + 2*r = 11, 0*b + r = -b + y. Suppose 0 = -i + b*i. Solve -q - q = i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 1:58 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2457 - -8803. Let o(w) = 8*w - i + 11260. Let m(r) be the third derivative of r**5\/20 - 2*r**2. Calculate m(o(x)).\nAnswer: 192*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3355 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 2*w + 17, 5*w - 52 = 5*k - 57 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 - 415*d**4 + 7 - 7*d - 7 - 8*d**2 + 417*d**4 in the form u*d**4 + p*d + y*d**3 + c + g*d**2 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*g - 252*f*g + 2*g + 459 with respect to f.\nAnswer: 2*f*g - 252*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 8, -17, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1170\/8*(-75232)\/(-84636)?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -16\/3?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + s**2 + s + 1. Let r(h) = -2*h**5 + 19*h**3 - 14*h**2 + 3*h. Let a(z) = -r(z) + 3*x(z). Find the third derivative of a(t) wrt t.\nAnswer: 120*t**2 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p - 6. Let r be a(3). Suppose -r*s - 44 = -7*s. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5 = 0, 4*a + 4*n - 54 - 30 = 0. Suppose -151*r = -153*r + a. Solve -r + 3 = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 36*n**3 - 3*n**2 + 22*n - 20. Let d be u(1). Solve -8 = -4*t, 2*k + 30*t + 14 = d*t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 + p**3 - 3*p**3)*(3 - 2*p - 3) - 146*p + 146*p - 38*p**4 - 2*p**3 + 2*p**3 + 2*p**4 + (4*p**2 + 3*p**2 - 4*p**2)*(3*p**2 - 4*p**2 - p**2).\nAnswer: -44*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0005 + -0.7.\nAnswer: -0.7005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 955685 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -309.687?\nAnswer: -619.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10214112137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3*x + 5*x - 9*x - 13.\nAnswer: -x - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 4)\/((-15)\/(-6)). Let j = 0 - 0. Let b = 287 + -287.1. Put j, g, b in ascending order.\nAnswer: b, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/19, 4, 1\/5, 2, 1, 2\/49?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 37*p**3 - 4*p + 3. Suppose -f + i + 68 = -9, -f + 3*i = -79. Calculate the lowest common multiple of x(1) and f.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14\/9 - -80\/63. Which is greater: -2\/11 or c?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 302564056.481 from 0.7.\nAnswer: -302564055.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 197725327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -32*o. Let x be (-3)\/(-6)*-10 + 11. Let h(b) = -5*b + 4*b - 3*b + x*b. Let i(c) = 36*h(c) + 2*w(c). What is i(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x - 93*x**2 + 9*x - 5*x in the form w*x**2 + r*x + v and give w.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yrrjjrrgjyjjygjyjyr. Give prob of picking 1 j, 1 y, and 1 g.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 7 + 9. Let l be w\/12*3*-3. Let z be 2\/l - 2\/(-3). Is z at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*y + 4 = 0, 0*l - 2*y + 16 = 3*l. Let m(t) = -l*t + 0*t + t + 0*t. Let o(u) = -19*u. Calculate m(o(g)).\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from rrguumzmzlul?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100 - (192 + 14)) + 9.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 1 - (5 + 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*w - 24*w - 193 = -535 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 1)*(10*s + 10 - 10 - s + 2*s + s - 6*s + 2*s + 2*s + (0 - 1 + 3)*(3*s - 3*s - 2*s) - 2*s + 2*s + s).\nAnswer: -28*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*((-5)\/2 + 3). Let h(q) = -1 - 7*q**2 - 9*q**2 - q + 15*q**2. Determine h(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) 5 (c) -0.1 (d) -2 (e) 2.2 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 5. Let c be t(0). Let l be (-2)\/(-4)*-2 - -2. Let k = -3 - l. Put k, -2, c in ascending order.\nAnswer: c, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 2\/17, -14?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13175?\nAnswer: 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1169 - 3501 = -106*o + 429 - 1177 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16488 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 11. Let h be u\/2*-1*-5. Let f(p) = -2*p**2 - 2*p. Let w be f(-2). Is h greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/243, -4 in descending order.\nAnswer: 0.1, 2\/243, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1750 (base 12) to base 4\nAnswer: 223230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert aac8 (base 16) to base 3.\nAnswer: 2012222021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**4\/5 + 27278*l**3\/5 - 46526034*l**2\/5 + 69741322*l\/5 - 23242562\/5 = 0. What is l?\nAnswer: 1\/2, 1, 3409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5544053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 414, 412, 410, 408, 406?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 19 + 20 + 15 + -69.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 2*x**3 + 10*x**3 - 8 + 3*x - 8*x**3 + 6*x**2. Let w = 315 + -308. Determine s(w).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7590323 a multiple of 1116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104529640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - f - 1. Let j(o) = -o**3 + 14*o**2 - 9*o - 13. Let x(s) = -j(s) + 6*v(s). Let r be x(8). What is the greatest common divisor of 341 and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-12))\/((-3)\/18). Suppose -w*s + 61 = 4*f, 7*f - 3*f - 82 = 2*s. Solve 4*r + f = 5*p, -2*p + 12 = 2*p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60832 divided by 7604\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 7*s**2 - 7*s. Let v be r(-6). Suppose -3*q + 248 = -5*u, -4*q + 42 = -5*u - 282. Calculate the remainder when q is divided by 104\/v*15\/10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 29*f - 254. Let k(x) = 10*x - 85. Let u(y) = 3*d(y) - 8*k(y). Does 13 divide u(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 84260125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 170794.17263 to the nearest one hundred.\nAnswer: 170800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 141 = 2*v. Let g = v - -8. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q - 16. Let p be o(8). Suppose 2*r = -p*r + 36. Calculate the remainder when 51 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 3*w**3 - w. Calculate the lowest common multiple of b(1) and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 8:25 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1703?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-4) - -3)*0. Suppose o + 4*q - 1 = -7, 0 = 4*o - 5*q - 39. Calculate the remainder when o is divided by 0\/(-2 + s) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4686 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*p - 182*p**2 + 31*p.\nAnswer: -182*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.88 + -1.451. Round n to two decimal places.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 31 = 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11291586 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, o: 2, h: 13}. Give prob of sequence oo.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-801 + 422 + 379 + 2521*m**3)*(-m - 1 + 1) to l*m**2 + a*m**4 + y + r*m + x*m**3 and give a.\nAnswer: -2521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -19*i**4\/4 - i**3\/3 + i**2 - i + 27. Give c(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2. Let n(a) = 844117*a. Determine n(v(i)).\nAnswer: 2532351*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, v: 3, n: 2, i: 9}. What is prob of sequence vin?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60203549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1067350 and -0.4?\nAnswer: 426940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 479*g**2 + 6894*g - 6894*g in the form j + d*g**2 + y*g and give d.\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**4 - 3*f**3 - 1326*f + 3*f**4 - 5*f**2 + 14*f**2 + 1324*f in the form r*f**2 + x*f + m + q*f**4 + c*f**3 and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1177705819.\nAnswer: 37, 31829887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.8, -3\/1288, -0.01 in descending order.\nAnswer: 2.8, -3\/1288, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + m**2 - 10*m - 9. Let t be h(-3). Let z be 16\/(t\/(-9) + 1). Let d = -21 + z. Solve -d*w + 20 = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -32*n**5 + 36*n**4\/7 + 904*n**3\/7 - 144*n**2\/7 - 32*n\/7 = 0.\nAnswer: -2, -1\/8, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 6\/5*j + 33\/5*j**4 + 27\/5*j**2 + 0 + 9*j**3 + 9\/5*j**5 = 0. Calculate j.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-42)*(-10671)\/(-337915).\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 9:14 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69452815238 + 1.6.\nAnswer: -69452815236.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -88, -95 in ascending order.\nAnswer: -95, -88, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 524.4407l?\nAnswer: 524440.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -5, -0.1, 15, 3\/40, 4 in decreasing order.\nAnswer: 15, 6, 4, 1, 3\/40, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2435 and 267363?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + 21 + -38 + 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*d. Suppose d*v = 4*v. What is the remainder when 0 + (-2 - -10) + v is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2729 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/3)\/((-20)\/15)*2. What is the tens digit of 176 - 3 - 2\/f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 417588171?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1211*d = -54*d - 22447 - 55983 for d.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 32*l**2 - 2*l - 3. Let k = 63 + -64. Is 6 a factor of v(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 71 * 0.3.\nAnswer: 21.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4433843 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/i**(-2))*i**(2\/5)*i\/(i**(2\/15)*i)*i*i*i*i*i\/i**5*i*i)**(-15) assuming i is positive.\nAnswer: i**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2061*c. Let f(n) = n**2. What is f(y(i))?\nAnswer: 4247721*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-2 - -2) - 4 - (-146 + 120)) + -14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -111113 (base 8) to base 11\nAnswer: -26157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -0.117.\nAnswer: 0.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -3, 2\/5, -0.6.\nAnswer: -3, -0.6, -2\/9, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 9. Suppose -5*b - 47 = -3*l, -d*l - 24 + 67 = -4*b. Calculate the highest common factor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1388941 to the nearest integer?\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1773 + -1509. Is h != 264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2 = 4*g. Suppose 2*o - 83 = -8*u + 3*u, -g*o = -8. Suppose -5*z = 5*j + u, 4*j + 33 = 4*z - j. Solve z + 3 = 5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22*-0.12\nAnswer: 2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*117.5.\nAnswer: -82.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -0.5. Let s = -2\/11455 - 4576\/34365. Which is the closest to -3? (a) -0.3 (b) s (c) v (d) -10\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*2088591\nAnswer: -6265773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 11:17 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + q = -4 + 6, 0 = -5*z - 3*q + 6. Suppose -4*h - 4*j = -5*h - 21, 3*h + 5*j = 22. Is (-7)\/(z + h\/7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-4) - (-2)\/(-8). Find the third derivative of 2*u**4 - 2*u**l - 4*u**4 + 2*u**4 + u**5 wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.26, 2\/4377, 5?\nAnswer: 2\/4377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 13*f**2 - 163*f - 152. Determine v(-22).\nAnswer: -922","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + (-2 - -13) - 2) + 19 - 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 158*z**4 - 818*z - 154*z**4 + 1 + 1176*z + (z**3 + 0*z**3 - 2*z**3)*(6*z - z - 4*z) + 5*z**4 - 2*z**4 - z**4.\nAnswer: 5*z**4 + 358*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 5*j**4\/12 + 2*j**2. Let f(u) = 41*u**2 + 0 + 0 - 42*u**2. Determine f(m(k)).\nAnswer: -100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 3*z**2 + 3*z + 2. Suppose 3*u + 4*u = -35. Let k(t) = -t**2 - 4*t + 2. Let w be k(u). What is o(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18\/5 or 0.066?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 5*g - 5, 235*g - 239*g + w = -21 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or -9389562?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 179 + -246. Are i and -66 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 1859*j - 847722. Calculate i(802).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -142 divided by -3\nAnswer: 142\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + 0. Let n(d) = d**2 - 11*d + 24. What are the prime factors of n(i)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 0*n - 18. What is the second derivative of -20*x**4 + 3*x**4 + 2*x - n*x**4 + 2*x**4 wrt x?\nAnswer: -252*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + sqrt(96) - sqrt(6))*-3 - sqrt(72)\/(2*sqrt(12) + sqrt(12) + sqrt(12)))\/(2*(sqrt(288) - 2*sqrt(288))*5)*5.\nAnswer: 49*sqrt(3)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 2:31 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11*h - 21. What is f(0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, -2, -4.\nAnswer: -4, -2, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -38. Suppose 10*v = u*v. Which is bigger: -6\/11 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3424498463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5)*k\/(k*(k*(k\/k**(9\/7))\/k)\/k)*k assuming k is positive.\nAnswer: k**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*n**3 - 8*n**3 - 21*n**3)*(5*n + 2*n - 4*n) + (3 - 2 + 6)*(-4*n**3 + 4*n**3 + n**4).\nAnswer: -173*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*((sqrt(45) + -2)*6)**2*3.\nAnswer: -52920 + 12960*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 4*x + 57. What is the remainder when l(0) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/2 + 32130*s**2 + 1092793*s\/2 - 2699634 = 0. Calculate s.\nAnswer: -21, 4, 64277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5712\/136)\/((-21)\/(-14)*(-8)\/6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-1 + -6*(sqrt(847) + 0 - sqrt(847)) + sqrt(847) + (sqrt(847) - (sqrt(847) - (1 + sqrt(847) + -1))) + sqrt(847)*-2 + sqrt(847) + 1) + 3)*-4)**2.\nAnswer: -6336*sqrt(7) + 488016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1714, -1719, -1724, -1729, -1734?\nAnswer: -1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 559*s - 930229*s**2 + 1791 + 930226*s**2 + 15*s - 4609 wrt s?\nAnswer: -6*s + 574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 12*k = 18. Let x(w) = -22*w + 14. Let h be x(k). Suppose -3*g + 3*v = 4*v - h, 2*g - 143 = -v. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 339, 2337, 7759, 18315, 35715, 61669?\nAnswer: 97887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1314 by -551.\nAnswer: 1314\/551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 160*x = 162*x + 2, 0 = -5*o - 2*x + 14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -3.0089487\nAnswer: 27.0805383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2753523579 to five decimal places.\nAnswer: -0.27535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**2 - 23*z - 14. Let o be f(8). What is the second biggest value in 1, o, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1 + 2*n**2 + 4*n**2 - 4*n**2. Let k(r) = 1. Let m(b) = -2*h(b) + 2*k(b). Let i(u) = -2*u**2. Give i(m(j)).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + l**2 + 3*l + 54. Let w be (0 - (0 + 0))\/(-16 + 44 + -26). What is m(w)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from eqqqjizzjzeqqiqej.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**2 + 86*c + 7. Let w(n) = -4*n**2 + 70*n + 6. Calculate 6*m(a) - 7*w(a).\nAnswer: 4*a**2 + 26*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99 - 95.96. Let x = 0.04 - w. Let f be 14 + (7 - 8) + -15. Sort f, x, 2\/9 in increasing order.\nAnswer: x, f, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*8\/12 - (3 + -2). Let q be (w + -2)*1*-10. Calculate the greatest common factor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjx when three letters picked without replacement from {b: 2, i: 1, c: 2, j: 2, l: 2, x: 5}.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeecc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23334*m - 28528*m + 6948*m.\nAnswer: -44914*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1177 + 2167. Suppose -q = -o + 67. List the prime factors of o.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b - 2*b - 7550 = 0. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 - -94. Let o be (1518\/115)\/((-3)\/i). Let v = -44 + o. Solve v = -m - m - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11877358.\nAnswer: 2, 67, 151, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, 663, 30.\nAnswer: -0.1, 1, 30, 663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/22 and 187\/90?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10110 + 101002112021?\nAnswer: 101002101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188416329 + -10445.\nAnswer: -188426774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 16 = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -82*v**3 - 16*v**2 + 9*v + 6. Calculate o(1).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26293 is divided by 1382?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13136, 13109, 13082?\n\"Answer: -27*n + 13163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 5. Let k(n) = -n - 7. Let a(i) = -5*k(i) - 7*p(i). Let x(l) be the third derivative of l**5\/60 - 33*l**2. What is a(x(t))?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 l when three letters picked without replacement from {l: 1, m: 4, z: 9}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + 0 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1534001?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h. Let z(t) be the second derivative of 13*t**3\/2 - 13*t**2\/2 - 12*t + 1. Let u(d) = -13*d + 4. Let q(r) = 13*u(r) + 4*z(r). What is q(b(w))?\nAnswer: -104*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -33*x + 13. Let d(w) = -33*w + 15. Let q(n) = 7*b(n) - 6*d(n). Let u(y) = y**2. Calculate u(q(z)).\nAnswer: 1089*z**2 - 66*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4007 or 4006?\nAnswer: 4007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i - 15*i - 21*i + 15*i - 18*i.\nAnswer: -60*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*o - 425 + 710 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = 5*y + 7*y - 76. What is the least common multiple of y and 763?\nAnswer: 3052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Let u(g) = 4*g**3 - 2*g**2 + 1. Let h be u(r). Let i(k) = k**3 + 2*k**2 - 4*k. Let p be i(-3). Solve 2*m - h = p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 - 62*z + 2194. Give h(21).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 44 = -4*a - a, 3*a + 21 = -3*l. Let f(k) = -k**2 + 8*k + 14. Let y be f(7). Let o = y - a. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Let h = 26 + -27. Which is the nearest to s? (a) -2\/9 (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2. Suppose 0 = -121*x + 117*x + 13432. Suppose -162 = 5*q + m - x, -3*m = 12. Let o(d) = 34*d - q + 640. Calculate s(o(t)).\nAnswer: -3468*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 6. Suppose 0*c = a*c - 32. Suppose -3*z = 2*i - z, -c*z = 3*i. Solve -q - 2*q - 3 = i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50800 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -162171 divided by -54057?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/17 > 1.56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 598 or 1790\/3?\nAnswer: 1790\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -32664.\nAnswer: -1\/32664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1466 - -2766. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000222119861 to five decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 8 = -2*m. Let z = m - -12. Factor 0*b**2 + 0*b - 1\/4*b**3 + 0 - 2*b**4 - z*b**5.\nAnswer: -b**3*(4*b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4409091 to the power of 1\/2, to the nearest integer?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 5 = b. Let f = -0.03 - 0.27. Let s = 0 - f. Put s, b, 0.2 in increasing order.\nAnswer: b, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 4:28 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6411 - 6421. Which is the closest to -2.2? (a) j (b) -3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/24 and -79\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -37*j**2 + 38*j - 38. Give u(1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/65 and (1110\/(-80))\/((-234)\/8) + -2.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.132 or 270640?\nAnswer: 0.132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010278 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -44026.79 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b42 + 2a?\nAnswer: 4b6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -83*k + 469. What is the hundreds digit of u(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4397\/198 + -675\/22. Let z be -3 + 5498\/(-90) + 1. Let p = x - z. What is the common denominator of 61\/6 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 5. Let t = q + 2. Let n(c) = -82*c - 1. Is n(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmmmmfpptspfmmt. What is prob of sequence tps?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20219019577 - 8\nAnswer: -20219019585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 10 = -7*i. Let b(o) = o**3 + 8*o**2 - 9*o - 108. Let z be b(-7). Sort i, 1, z in ascending order.\nAnswer: i, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.13 + -2.17. Let y = -11.3 - i. Which is the closest to 1\/2? (a) -2 (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 847758\/13 or 65212?\nAnswer: 847758\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112285477 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**2 + 2*c**2 + c**2 + (-221*c + 151 - 151)*(7*c - 5*c + 9*c) as k + z*c**2 + m*c and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 20 - 20 + (1 + 1 - 4)*(672 + 49*r**2 - 672) + (-3*r + r + 5*r)*(r - r - r).\nAnswer: -103*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f. Let r(b) = 4*b - 11. Let m(t) = 5*c(t) - r(t). Let o(x) be the first derivative of -5*x**2\/2 + 6*x + 136. Calculate -4*m(n) + 7*o(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 18*v - 44. Let d be a(13). Suppose -5*o + 5*n + 5 = 3*n, -5*n + 1 = o. Let m = d + o. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29162 = f + 4*p + 5891, 4*f - p - 93135 = 0. What are the prime factors of f?\nAnswer: 3, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + 0 + sqrt(128)*-1*-3 + -1)*-2)**2.\nAnswer: -1536*sqrt(2) + 18496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 3*m**2 - 4*m + 6. Let z be r(4). What are the prime factors of (-38)\/(-5) + z\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3358276 rounded to two dps?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 2*t + 3. Let l be u(3). Let f be 9\/(-18)*-2*(82 - 1). What is the greatest common factor of l and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 569 and 1940749183.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/1742001 and 34\/81.\nAnswer: 47034027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g. Let n(x) = 127*x**2 + 3*x + 18. Let t(d) = 890*d**2 + 20*d + 120. Let o(u) = 20*n(u) - 3*t(u). Give y(o(f)).\nAnswer: 260*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2067432 is divided by 54.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + x - 1, -3*a + 2*a - 5 = 2*x. Suppose -4*j = -3*k + 18, -5*k - 5*j - 6 = -a. What is the greatest common divisor of 3 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.2, -11, -2, -93 in ascending order.\nAnswer: -93, -11, -2, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-101 - -2) + (2246 - 2126).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33466412 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (6 - 8) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -61. Suppose 2*u - l*u = -11415. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**3\/2 - 8*w**2 + 78*w + 3. Give t(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10548642?\nAnswer: 2, 3, 13, 101, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0 = 4. Suppose 5*o + 70 - 300 = 0. Calculate the remainder when o is divided by 14 + 1 - (0 - b).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**5*s - 276156277*d**4*s**2 + 2*d**2*s + 94*d**2 + 2*d*s**2 + 5690*d*s + 2*s**2 wrt d?\nAnswer: 60*d**2*s - 6627750648*d*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.119 and -4.9481407123?\nAnswer: 4.8291407123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -325 + 325.0314. Round r to three decimal places.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 15 = 3*m, -2*i - 2*m - m = -3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -15\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -886.99999168 + 887. What is c rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112 (base 5) to base 13.\nAnswer: -c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*r + 36*r - 3*r**3 + 1 - 27*r**3.\nAnswer: -30*r**3 - 70*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -10 (b) -0.69 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a - 54. What is i(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*k + 16, -4*k + 2*v = -0*k + 4. Let b(h) be the third derivative of 0*h - 1\/8*h**4 - 1\/3*h**3 + 2*h**2 + 0 - 1\/30*h**5. What is b(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12070629781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169890*w**2 + 146532*w**2 - 355756*w**2.\nAnswer: -379114*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3, 1, -5, -15?\n\"Answer: -2*s**2 + 4*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*x - 66 = 45 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 399478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/1992 and -16\/161103.\nAnswer: 1288824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(sqrt(833) + 1).\nAnswer: -84*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -7. Let y(p) = p**3 - 5*p**2 - 7*p + 6. Let u be y(k). Solve -2*b + d - 9 = u, 9 = -2*b + 3*d - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z**3 - 13477*z + 13477*z.\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 9*o - 138. Suppose -23*p = -21*p - o. Suppose 0 = 5*v - 42 + 2. Calculate the remainder when p is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 3:07 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 120660?\nAnswer: 120662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3 - 3059*v**2 + 6111*v + 9171 = 0.\nAnswer: -1, 3, 3057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22.7, 19, 4, 0.5, -0.3 in descending order.\nAnswer: 19, 4, 0.5, -0.3, -22.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + c**2 + 41*c + 13. What is q(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x**(10\/7)*x*x))**(-1))**(27\/7) assuming x is positive.\nAnswer: x**(837\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1806513 (base 9) in base 10?\nAnswer: -1008624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.29 - -4.7. Round l to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r*r**0)\/r)*r)\/r)\/r**1*(r**12\/r)\/r*r**14 assuming r is positive.\nAnswer: r**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2 + 25*f - 7*f - 43*f - 5*f**2 + 9. Is s(-12) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2 + (-30)\/84. Let g be 0 - -1 - 2354\/(-18). Let z = g - 132. What is the third biggest value in z, k, -2\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255018023 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -32. Solve -g*y = -13 - 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -486*(52\/39 + (-1)\/3). Let a = n + 488. Solve -2*j + 14 = 2*w, -j - a*w - 4 = -5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-10533)\/(-18) + 0 + (-88)\/528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 5*h**2 - 4*h + 2. Let r be y(4). Suppose 3*z = -5 + r. What is z rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146817 divided by -9\nAnswer: 16313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 5*p - 15, -2*i = i + 2*p - 34. Calculate the remainder when 23 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -c - 4*f + 27, 4*f - 98 = -3*c. What is the remainder when 101 is divided by c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25929639.\nAnswer: 3, 320119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.8 - 3. Suppose 82*x = 4802 + 2086. Let v be x\/14 - (-54)\/(-10). Which is the biggest value? (a) -2\/3 (b) l (c) v (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -44?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 177 and 25016?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -2, -4, 1, 5\/2, 17020?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 102. Suppose 8*q - 4*q = -4*i + 80, -2*i = -3*q + 65. What is the remainder when v is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4782031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 2*x - 2. Let c(z) = 2*z. Let j be c(-3). Let k = -2 - j. Calculate q(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2493384 a multiple of 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -363 * 5\nAnswer: -1815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -30*t - 10*t - 53*t**2 + 9 + 6*t. Let m be j(-11). What is m rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 + -2*212\/48 and 48\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - -239)\/14 - 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l - 32*l - 8 = 0. Let r be (-3)\/12 - (-1)\/4. Solve -11 = 3*h + 4*m, r*m + m = l*h - 17 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)\/(a\/(a\/(a*a*a\/a**24))))\/(a**(2\/9))**32 assuming a is positive.\nAnswer: a**(89\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2013*d + 52342. What is t(26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 25*p - 87 = -24*p, -5*r - 4*p + 135 = 0. Solve 0 = r*q - 20*q + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8547 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 6*f**2 - 7*f + 3. Let j be r(-7). Suppose 2*n - 10 = -j*n. Which is smaller: 3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84162?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = y - 2*w, 0*y + 4*y = 2*w. Let t(q) = -q**2 - 1. Let j be t(0). Let z = j + y. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27606 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261431609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7377106*a**5 + 4361*a**2 + 370 wrt a.\nAnswer: 442626360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -14. Let i = j - -10. Suppose 0 = -7*a + 153 - 41. Solve p = -h + i*h - 8, 3*p + 4*h - a = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -35. Let k(o) be the third derivative of 0*o + 1\/30*o**5 + l*o**4 - 1\/6*o**3 + 5*o**2 + 0. What is the first derivative of k(t) wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*o = -109*o + 5820. Calculate the remainder when o is divided by 230.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 225 - -1043?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 - 4 + (0 - 1 + 2)*(2 - 2 - 1))*(5*r + 0*r - 4*r)*(-516721*r**2 + 516721*r**2 - 387*r**3) to c*r**4 + z*r**2 + i*r**3 + q + f*r and give c.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0.4 (c) -4 (d) -3 (e) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u + 6 - 6 + 0 + 0 - 2*u + (0 + 3 - 4)*(4308*u + 1 - 4324*u + 0).\nAnswer: 17*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405685 is divided by 136?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -10*y**2 + 3*y + 3. Let k(f) = -8*f**2 + 2*f + 2. Let w(l) = 6*k(l) - 4*t(l). Let g(i) = 13*i**2. Give g(w(j)).\nAnswer: 832*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029087373 rounded to five decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0058462mg to nanograms.\nAnswer: 5846.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5970 and 11343?\nAnswer: 113430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((518\/8)\/(-1))\/(1*(-5)\/280). What is the highest common divisor of w and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8248, -33234, -74926, -133324, -208428?\n\"Answer: -8353*a**2 + 73*a + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5796 = -7930*b + 8056*b for b.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r - 2*r + 2 - r. Let b(v) = v**2 - v - 1. Let f be 4*(39\/12 - 3). Let i(u) = f*b(u) + n(u). Determine i(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 89 = 31. Let w be (12\/10)\/((-16)\/r). Let c be (-5)\/w + 1\/3. What is the second biggest value in c, 4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 346, 1364, 3064, 5446?\n\"Answer: 341*u**2 - 5*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p - 2*p + 1680. Which is smaller: -169 or p?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.934007 millilitres?\nAnswer: 0.004934007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 4:56 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**5 + 5*l**4 + 12*l**2 - 57*l - 5. Let h(u) = -u**5 - u**4 + u + 1. Let f(i) = -d(i) - 5*h(i). Find the second derivative of f(o) wrt o.\nAnswer: 20*o**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 = -4. Let f = -1 - z. Is 4 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 5:14 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.5 (c) -104 (d) -183\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 40*o**2 + o + 3. Let y(u) = -5*u + 32. Let k be y(8). Let p = k - -7. What are the prime factors of b(p)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 2*j - 2 + j**2 + 0*j**2 in the form h*j + q*j**2 + y and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 8*a + 27. What is the greatest common factor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d + d - 5*d + (1 - 1 - d)*(-54 + 89 - 424) + (-d - d + 3*d)*(4 - 3 + 0))*(3*d - 3*d - 2*d).\nAnswer: -782*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 61.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000171 to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + -2*sqrt(7) + -5 - (sqrt(63)\/(sqrt(81) + sqrt(81)*2))**2).\nAnswer: -574\/81 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*h - 6*y + 4*y, -5*h = -5*y + 20 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14af - -9c?\nAnswer: 154b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 1 + -7 + -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1394 + 2198. Let d = 843.9 - s. What is d rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z - z + z + (-1 + 1 - z)*(5 - 4 + 1) + 4*z - 5*z + 0*z - 67553*z + 135782*z - 67941*z.\nAnswer: 283*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 165244*s - 88054 wrt s?\nAnswer: 165244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 10 + z**2 + (25*z - 2*z + 9*z)*(z + 4*z - 48*z).\nAnswer: -1375*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*y + 139*y = -24. What is the hundreds digit of ((-658)\/(-141))\/(y\/(-726))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q. Let y(t) = 8*t**2 + 3 - 17*t**2 - 33*t**2 + t**2. Let a(p) = -206*p**2 + 14. Let b(r) = -3*a(r) + 14*y(r). Calculate b(h(n)).\nAnswer: 396*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*a + 50, 0*n + 2*a = 2*n - 94. Let y = n + 95. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2. Let i(s) = 3*s + 7*s - s. Calculate i(f(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + 17 - (-18432)\/(-864).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 12*o**2 + 26*o - 7. Give a(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/2 or 32054?\nAnswer: 32054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -2, 0, -25, 1 in ascending order.\nAnswer: -25, -3, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**3\/2 + 15*x**2\/2 + 36*x - 87. Let k(i) = 0. What is i?\nAnswer: -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 90*v + 1. Let f be x(3). Suppose j + f = 3*c, -5*j - 20 = -0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016 a factor of 18536336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -5\/3, -18545 in ascending order.\nAnswer: -18545, -5, -5\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -14. Let y = l + -6.15. Let s = 0.1499956 + y. Round s to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g. Let x(y) = -5*y**2 + 15*y - 1. Let a(f) = 3*s(f) + x(f). Let p(d) = d**2 - 3*d. Let n(m) = -2*a(m) - 9*p(m). Factor n(r).\nAnswer: (r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47628 divided by 3969.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + v = -0 + 1, -5*v = 10. Let n = -2 - d. Let m = n - -17. Calculate the highest common divisor of m and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 2 - (47 - (92 + -63 + -14))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvxxxvvvxvv. Give prob of sequence xvvx.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -2\/3, -0.4, -1\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 85 - 75825?\nAnswer: -75760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + b0?\nAnswer: ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4 - 16. What is the first derivative of l + 3*m - 2 - 3 + 2 wrt m?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-6)*175\/(10325\/(-6726))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2*v - 5*v = 13, 11*x + 5*v + 14 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjjj when four letters picked without replacement from {j: 3, r: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 21*l - 14*l - 95 = 0. Let h(r) = -3 + 2*r - 1 - 2. What is h(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 8*l**2 - 7*l + 13. Let a be x(6). Let d = -37 + a. Solve -4*f + 6*y - 2*y + 24 = 0, 0 = -f - 5*y - d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 528, 526, 524, 522, 520, 518?\n\"Answer: -2*k + 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 56*l**2 - 10*l - 8. Let g be t(-4). Suppose -g + 28 = -5*m. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 + -49.1. Is 4 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 10*f + 12 = -4*r, -2*f + 5*r + 15 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6308 + 6299. Which is the closest to -34? (a) -5 (b) 2\/3 (c) s (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 2*r + 8 + (13*r + r - r)*(6 - 3 - 2))*(-2*r**3 - r**3 + 2*r**3).\nAnswer: -15*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (117920\/(-1290))\/((-1)\/(-174228)). Let g = 15925352 + s. Let k = g + 978. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 times -0.2502\nAnswer: 0.035028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 15*u**3 - 103*u**2 - 7*u - 49. What is m(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g + 9. Let f(y) = 10*y - 7. Let v(m) = 2*f(m) + 3*o(m). Let u be 3\/((-6)\/20) + 1. Determine v(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 4:15 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 4*a + 4 + 1 - 16.\nAnswer: -4*a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + 2\/1 + 0. Let j(u) = u**2. What is the remainder when (-266 - 16)*4\/8*-1 is divided by j(d)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -240, -359, -480, -603, -728?\nAnswer: -855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/2)\/((-2)\/2). Suppose 0 = -4*j + j + 4*v + 17, r = -5*v - 25. Which is the nearest to j? (a) -1\/5 (b) 0.05 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 219, -7, 226 in decreasing order.\nAnswer: 226, 219, 11, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2597?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 252\/(-49)*(-73)\/((-7592)\/(-546)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -827903572, -827903571, -827903570, -827903569, -827903568, -827903567?\n\"Answer: y - 827903573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 101 = -9. Let q = 136 - b. List the prime factors of q.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 7 + 5)*(3*l - 3*l + 2*l) - 65*l + 33*l - 2 + 28*l.\nAnswer: 12*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (13 - 17)*10\/(-2). Let v be 8\/20 - (-7)\/j. Suppose v*a + 1\/2 + 0*a**2 - 1\/4*a**3 = 0. Calculate a.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82968250 and 250.\nAnswer: 82968250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -30310 (base 4) to base 15\nAnswer: -39a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*x - 2. Let i(s) = -s + 9. Let f be i(7). Find the second derivative of -4*z + x*z**3 - f*z**3 - 3*z**4 wrt z.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-25)*m**29)**(-21\/5) assuming m is positive.\nAnswer: m**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7690242 divided by 1281707?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22019 and 222687.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**4\/5 - 16182*d**3 + 1636526112*d**2\/5 + 3273375872*d\/5 = 0.\nAnswer: -2, 0, 40456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqjkqsssrsjhssssss. What is prob of picking 1 k and 1 s?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 + 0?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 608355 - 15657 = 0. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113286 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 13 + -19 + -5 + 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - -24) + (9 - -9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 64 = 6*t, 17 = 5*t - 3*l - 32 - 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**3\/4 - 111*f**2 + 16428*f + 215. Factor s(i).\nAnswer: 3*(i - 148)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118.6 * 0.06\nAnswer: 7.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/5 - 373926*u**2 - 3739215*u - 9348000.\nAnswer: -3*(u + 5)**2*(u + 623200)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*(-30)\/12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1196*p - 5184. Determine u(5).\nAnswer: 796","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1327560 by 111.\nAnswer: -11960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1102712 and 22?\nAnswer: 12129832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/18)\/(5\/45). Suppose h = u - 2*r - 2, -3*r - 6 = -u. Solve u = -2*p - 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -61 - 15. Calculate the lowest common multiple of v and 3.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -35 + 29. Suppose -5*x + x = -3*c + 29, -3*x = 3*c + 6. What is the lowest common multiple of c and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 6*m**2 - 3*m + 2. Let i be q(-4). Let r be (-9)\/(i\/(-24)*-4). Solve -2*j = 5*z + 1, 3*z - 2*j - 18 = r*j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - 3*n + 4 = 17*g, 4*g = n + 6. Let j(r) be the second derivative of 0 + 1\/6*r**3 - r - 4*r**g. Calculate j(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -469 + 469. Suppose h = 17*w + 1325529 - 13191529. What is w rounded to the nearest ten thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 12, -3*c - 248*j + 15 = -246*j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = -2*s + 24*u - 25*u, -2*u + 8 = 0. Is s at least -80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 10. Let o be b(6). Suppose 0 = o*r - 12*r + 20. Put r, -4, 1 in descending order.\nAnswer: 1, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 37*f**4\/24 + 69*f**3\/2 - 110*f**2. What are the prime factors of z(11)?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9697 + 9697 + 77*v**2 to the form o*v**2 + z*v + m and give o.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2024, -2068, -2224, -2492?\n\"Answer: -56*t**2 + 124*t - 2092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ea when two letters picked without replacement from {a: 17, e: 2}?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -2)*1 + -8. Let c = a - -10. Suppose -5*t + 202 = 2*b, b = -2*t + c*t - 46. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -40*x + 419. Is v(-44) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -7*u + 15. Suppose -u*x = 2*x. Let r(b) = x + b + 0. Let n(q) = q. What is r(n(o))?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*u + 297*u + 456 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 488 (b) -0.5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6.81527623 times -0.5\nAnswer: 3.407638115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 721.9161 litres in millilitres?\nAnswer: 721916.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = 6*s + p + 111, 1227*s - 2*p - 102 = 1225*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*l + 7. Let t(k) = -5*k + 30. Let n be t(l). Calculate the remainder when (-30)\/(n\/10*2) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(56)\/(sqrt(28)\/sqrt(4))) + -4 + sqrt(19) + sqrt(76)\/sqrt(4) + (sqrt(1539) + -1*sqrt(1539))**2.\nAnswer: -4 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = -4*r + 4*v, 3*v = 5*r + 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -2693*i**5\/20 + i**4\/4 + 2*i**3 + 15*i**2\/2 - 10190*i. Find the third derivative of o(n) wrt n.\nAnswer: -16158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - 2*j + 2*j)*(1135 - 568 + 863 + 232 + 149).\nAnswer: -1811*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -101250131 (base 7) in base 15?\nAnswer: -7c1745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l - 17. Let z(o) = -2*o**2. Calculate z(r(n)).\nAnswer: -32*n**2 + 272*n - 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2182*0.09.\nAnswer: -196.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 3) in base 7?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10*y**2. Let w(l) be the third derivative of -l**5\/60 - 5*l**2. Let a = -1275 + 1271. Determine a*w(v) - i(v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -6845\nAnswer: -8\/6845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 939 - 940. Let m(a) = a**2 + 3*a**2 - 1 - 3*a**2. Let b = 4 + -7. Let h(r) = 5. Give b*m(z) + d*h(z).\nAnswer: -3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28523 and 48?\nAnswer: 28475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 615 (base 15) in base 11?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214154 is divided by 1347?\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1200*v**3 + 1 - 1 + 996*v**3 - 2199*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.876 - 379.714. Let p = -403 - f. Round p to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -18. Let x = a - -23. Calculate the remainder when 35 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -12, -1122, 0.3, -3, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -36*u. Let n(c) = -13602*c**2. Calculate n(l(j)).\nAnswer: -17628192*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5354*p**3 + 26 - 2*p**2 - p**2 + 48 + 5353*p**3 + 24*p**2 + 369*p**4 wrt p.\nAnswer: 8856*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21252071 to the power of 1\/3, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27, -226, -865, -2076, -4045?\n\"Answer: -31*n**3 - 7*n**2 - 15*n + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 81, -1, -26.\nAnswer: -55, -26, -1, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Suppose o - 13 + g = 0. Suppose -o = -3*p + p. Calculate the greatest common factor of 45 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 1. Let l be y(6). Suppose -2 = 3*d - l. Is -2\/25 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(12)*2) - (sqrt(5) - (sqrt(5)*-1 + -4)).\nAnswer: -4 - 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + 2*v**2 - 2*v + 2*v**2 - 1 + 1 + (2*v + v - 4*v)*(-2*v + 0*v + 0*v) + 1 + 45*v**2 - 8*v**2 + 2*v - 5*v**2.\nAnswer: 38*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664438?\nAnswer: 2, 332219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11262 or -11264?\nAnswer: -11264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20*100683\nAnswer: -2013660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220020 + -120021?\nAnswer: -1110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185, 309, 527, 845, 1269, 1805, 2459, 3237?\nAnswer: 4145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**3 + 136*x**2 + 8*x - 48. Let t be s(34). Solve -t*d + 226*d + 8 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00866 rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven eighths of a microsecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -30, -3, 8 in decreasing order.\nAnswer: 8, -3, -30, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.33 + 0.03. Let v = -434328\/14273 - -3\/2039. Let z = v + 216\/7. Which is the third smallest value? (a) z (b) y (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/7 + 44\/(-77) + -10 + 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 2*o + 0*o)*(3*o + 2*o - 4*o) + (4*o - o - 6*o)*(-6 + 2 + 3 + (0 + 2 + 0)*(1 + 3 - 2))*(7*o - 4 - o - 4*o) - 56 + 56 - 6*o**2.\nAnswer: -25*o**2 + 36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, 4, -56, 5 in decreasing order.\nAnswer: 5, 4, -56, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -34*l. Let y(d) be the third derivative of -d**5\/60 + 36*d**2. What is o(y(i))?\nAnswer: 34*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*q - 74*q = -92. Solve -8 = -8*g + q*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.68362.\nAnswer: 0.136724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -398*o. Let p(s) = -s - 20. Calculate p(g(n)).\nAnswer: 398*n - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -9. Suppose -4*h + 1202 = 4*a - 2*a, 0 = o*a - 6. List the prime factors of h.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15488485633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -94, 1\/2, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*n + 51 = 0, u + 3*n = 4*n + 12. Is u*3\/((-9)\/(-5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -655*l + 445*l - 2310 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*o + 628 - 625 + 88*o - 155*o.\nAnswer: 38*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -53, -146, -267, -410, -569, -738, -911?\nAnswer: -1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - (-3*sqrt(1216) + sqrt(1216))) + 2 - (3 + -2*sqrt(1216)) - (1*sqrt(1216)*-2 - (0 + sqrt(1216) + -1 - sqrt(1216)))*3)**2 + 1.\nAnswer: -704*sqrt(19) + 147153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 3 = -19*g + 5*u, 3*u + 11 = -4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 7*t**2 + 2. Let i be d(7). Let a be i\/(-5) - (-4)\/10. Suppose k - 4 - 12 = a. What is the remainder when k is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = -5*k - 12. Let h be k\/((-1)\/((-4)\/(-6))). Suppose 3*q - 4*t - 37 = t, -4*t = -5*q + h. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 941965637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.972 + -37067\nAnswer: -37067.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 2788\/119)\/(3\/(-21))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, -12, 245\/8, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + r**2 - 3*r - 1. Let n(d) = 6*d**3 - 5*d**2 + 147*d - 160. Let x(u) = 2*n(u) + 10*s(u). Find the first derivative of x(t) wrt t.\nAnswer: 6*t**2 + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 2*i**3 + i**3 + 0*i + i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420 a factor of 4680888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.19 - 1.61. Let x = -2.6 - i. Put 5, 0, x in decreasing order.\nAnswer: 5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 209, -2\/13, -0.1, -1, 3.7, -2, 4?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -17 + 15*p + 16*p + 64*p + 89*p. Is i(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*t**5 + t - 67*t**5 + 0*t wrt t.\nAnswer: 140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/2, 3, -2\/15, -1, 0.01 in ascending order.\nAnswer: -15\/2, -1, -2\/15, 0.01, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -3. Suppose 3 = -j*h + 2*h + r, -4*h + 15 = 5*r. Suppose -5*a + 17 + 33 = h. Calculate the remainder when 29 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4955.1 times 34?\nAnswer: 168473.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l + 2*l - 5*l)*(-664*l + 2 + 2349*l - 2 + 1249*l) to the form q*l + b + o*l**2 and give o.\nAnswer: -2934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 10:04 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*s - i - 27, 8 = 2*s - 3*i. Suppose 0 = s*c - 3*c - 12. Suppose 0 = 2*m + 2*m - 2*x - 6, c*m - x = 4. Let f(r) = -r**3 - 1. Calculate f(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/247349 - -181059248\/13604195. Let n = v - 67\/5. Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000757150354 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**5\/30 + j**4\/24 - 2*j**3\/3 + 3*j**2 - 5. Let i be d(2). Which is smaller: i or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -171, 334, -3, 2.\nAnswer: -171, -10, -3, 2, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380037008?\nAnswer: 2, 13, 1827101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 193660 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -1\/6*o**4 + 0 + 1\/6*o**3 + 0*o**2 - 3*o. Find the second derivative of j(h) wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*z = 40*z - 15. Let a(h) = -468*h - 7. Is a(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**5 + 9*l**5 - 12*l**5 + 2*l**5 - l**5 + 0*l**5 + (3*l**2 + l**3 - 3*l**2)*(2*l**2 - 2*l + 2*l) + 63*l**5 + 3906*l - 3906*l.\nAnswer: 59*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 3. Let r = -5 + k. List the prime factors of ((-30)\/2)\/r*-1.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**2 - 860*d - 36980 = 0.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s - 5*s + 4*s - 11*s - 7*s + 5*s + 6*s - 4*s - 3*s + (4*s - s - s)*(3 - 5 + 0) - s - 3*s + 2*s.\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + -1 + sqrt(242))*-3 + -2*sqrt(242)*5 - 1*-6*sqrt(242)*1*5)**2.\nAnswer: 924*sqrt(2) + 47441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-806)\/(-167648))\/(2\/32)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n - 3. Suppose 3*c = 2*v - 2 - 13, -2*c = 5*v + 10. Suppose -3*y - 2*y - 10 = v. Give a(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - 3*n**2 + n**3)*(-31 + 31 + 3*n)*(-4*n - 2*n + 5*n).\nAnswer: -3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i**2. Let d(n) = n**2. Let j(p) = -4*d(p) - q(p). Let m(v) = -4*v + 3*v + 2*v. Calculate j(m(x)).\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 764000 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 2*x - 3, 48*k - 51*k + 2*x + 7 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 859132?\nAnswer: 18041772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 527*l**2 - 531*l**2 - 5*l + 7*l - 32*l as v*l**2 + j + g*l and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5\/(t*t*t**(1\/5)*t))\/(t*t**1)**(3\/8))\/((t*t\/t**1)**(-9)*t*t**2*t\/t**(-2\/11)*t) assuming t is positive.\nAnswer: t**(1071\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*y - 80*y + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**6\/120 - h**5\/60 + h**4\/24 - h**3\/6 + 28*h**2. Calculate t(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/61)*y\/(y**(6\/7)\/y))**(1\/4))**5 assuming y is positive.\nAnswer: y**(1185\/854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 - 1 = -k, 0 = k - 4*d + 2. Let a be (-1 - k\/(-4)) + 330\/308. What is the closest to 3 in 7, 0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxxttagd. What is prob of sequence ad?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -62*z**3 + 93*z**2 - 93*z - 93. Let y(x) = -x**3 + x**2 - x - 1. Determine -s(r) + 93*y(r).\nAnswer: -31*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 24 = -20 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353822.\nAnswer: 2, 7, 127, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1896 * 1.2132.\nAnswer: 2300.2272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10515 or 10516?\nAnswer: 10515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*(sqrt(832) + 2))**2 + -4.\nAnswer: 800*sqrt(13) + 20896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 874 = 4*c - 2778. Calculate the greatest common factor of c and 368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/18*(-60 - 0\/2). Is (21595\/a)\/((-3)\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*f - 31 = -3*a, 5*a + 2*f = 33. Suppose a*u = 2*u + 30. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/432)\/((-2)\/(-1))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/5 + 99924*r**2\/5 - 599598*r\/5 + 899424\/5.\nAnswer: 2*(r - 3)**2*(r + 49968)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-2)\/(1 + -3)). Let k(w) = 27*w. Calculate the remainder when k(l) is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*f + 4*k, -22 - 3 = 5*k. Let h be f\/((-3)\/9*3). Suppose h = -m - 2*t + 8, -4*m + 0*t + 4*t = 4. Calculate the highest common divisor of 16 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 3. Let q be h(-5). Suppose -4*p = -q*p - 24. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bttbbt. What is prob of sequence btt?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjhhjh. Give prob of picking 1 h and 2 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2256.93965 + -2265.94. Let r = 0.02 - -8.98. Let p = o + r. What is p rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 263*p**2 + 7*p + 130. Is z(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 56*m**2 + 1508*m + 165. Give f(-76).\nAnswer: 1077","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2)**29*((m\/(m*m**3))\/m)\/(m**1*m))**(-1\/23) assuming m is positive.\nAnswer: m**(-52\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2*m + 6 = 0, 4*y = -0*m - 2*m - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4875 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31461 (base 15) to base 14.\nAnswer: -40d21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -384 or -385?\nAnswer: -385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 94762 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 - 3)*(p**2 + 6*p**2 - 2*p - 2*p**3 - 6*p**2) to b*p**3 + t*p**2 + n + l*p and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1323.1 - 1270. Let c = -58.11 + h. Let z = 0.01 + c. What is the nearest to 0 in z, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v = 0. Let j = v + 3. Let u be j\/(-9) - (-26)\/6. Solve -3*h - 16 = u*x, -2*h + 2*x + 3 = -5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15, 51, 111, 195, 303, 435, 591?\n\"Answer: 12*j**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1250*u**2 + 621*u**2 + 621*u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11243.\nAnswer: 11243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*b**2 + 6*b**2 - 7*b**2 - 33*b**2.\nAnswer: -69*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5\/9 (b) -0.06 (c) 1.079\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -248*y**4 - 3*y**2 - 669. Let u(v) = -3*v**4 - v**2. Let s(h) = d(h) - 3*u(h). Find the first derivative of s(j) wrt j.\nAnswer: -956*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -25. Suppose -4*k = -3*g - 17, -g + 4*k - 11 = -0*g. What is the third biggest value in o, g, -1\/10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1476421, -1476962, -1477503, -1478044?\nAnswer: -1478585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74242?\nAnswer: 2, 7, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 15. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*s - l - 19, 9 = s + l. Let i be (-141)\/9*(-7)\/(s\/3). Is i smaller than 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*b + 128417 = 0, 1179*b + 5 = 1174*b. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**2 + 639*q - 3*q**2 + 1 - 645*q as o + c*q + r*q**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42.4 - 68.6. Let c = 121 + r. What is the closest to c in 0.1, -4, 1\/3, -2\/13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 14 = -5*v - 3*l, 2*v - 5*l + 16 = 0. Suppose -f = -4*b + 4, 0*f + b = f - v. Is -2 + f\/(20\/3645) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489845*q + 30870 = 490139*q for q.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (27\/(-24))\/((-50)\/(-8)). Let b be 5847\/(-225) - (5 - 8). Let t = q + b. Calculate the common denominator of t and 44\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*s + 5921 = a + 154*s, 4*s = a - 5900. List the prime factors of a.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6319 and 348079?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 2*c - 80, -104*c = -24*g + 26*g + 5000 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h. Let u = -42 - -53. Let j(q) = -3*q - 7*q - u*q + 19*q. What is l(j(k))?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 8. Let v = -1 - g. Let t = -0.2 + 0.3. Which is smaller: t or v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -7. Suppose -t*y - 8 = -24. Suppose -3*l - 5*r - 3 = -8, y*r + 23 = 3*l. Solve 0 = -3*c + l*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*l + 2977698, 2*l - 599495 = -p + 889370. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478846273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8941 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o = 16. Suppose -1 = -o*y + 35. Let a = -8 + y. Which is smaller: -5 or a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 315 + -315. Suppose x = -k + 686, c = 2*k - 3*x + x - 1380. List the prime factors of k.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.22 - 2.23. Let b = n - -0.45. What is the third smallest value in 0.4, b, -1\/5, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 0. Suppose -p + 27 = j*s, 6 - 28 = -4*s - p. Let i(t) = s*t + 0*t - 3*t. Let v(c) = -4*c. Determine i(v(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14812.229+12810291\nAnswer: 12825103.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -13*a**4\/24 - 137*a**3\/6 - 29*a**2 + 1. Calculate b(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -25?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3048 - -3182. Solve 0 = 4*x - p + 110 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vad when three letters picked without replacement from {v: 1, d: 2, n: 1, a: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-126)\/(-15) - (-8)\/(-20). Is (-2)\/(-4) + -2*(-810)\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 11*d + 1238043. Let z(h) = h. What is z(o(p))?\nAnswer: 11*p + 1238043","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -17*g + 1. Suppose 24 = -336*s + 324*s. Let l(k) = -8*k. Calculate s*n(u) + 5*l(u).\nAnswer: -6*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 5*i**2 + 6*i + 3. Let m be y(-6). Suppose 2*k - j + 0*j = 5, -2*k + m*j + 7 = 0. Solve -3 + k = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4050827 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 11) to base 8.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25654 - 25649. Solve -t*o = -u + 25, -5*o - 15 = 3*u + 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/20)\/(5*18\/150).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*r - 49. Let j be 3 - (-44)\/(-16) - 30\/(-8). Let u be (j\/8)\/(1\/6). Calculate the greatest common factor of r and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 + 48. Let c be 36\/(-10)*p\/21. Find the third derivative of -29*a**2 + 8*a**c - 13*a**6 + 8*a**6 wrt a.\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 376.\nAnswer: 1880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from wvyxr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5 - 14. Calculate the greatest common divisor of 72 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -14*n - 30. Determine z(-15).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-87)*267\/(-178)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 h, and 1 p when four letters picked without replacement from lllhhhplhh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, e: 3, u: 4}. Give prob of picking 1 e and 2 u.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 26 - (-12 - -28).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) 497 (b) -3 (c) 0.2 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10403792?\nAnswer: 2, 7, 19, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 942 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6094 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: What is -6770 less than -0.1?\nAnswer: 6769.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + n - 4. Let o(w) = -8*w**2 - w - 57. Let f(l) = 2*o(l) - 18*s(l). Differentiate f(v) wrt v.\nAnswer: 4*v - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6962*y**4 - 186*y**2 + 3*y + 34. Let m(p) = 2*p**4 - p**2 - p - 5. Let a(n) = f(n) + 7*m(n). What is the third derivative of a(j) wrt j?\nAnswer: 167424*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 11. Let c be r(-6). Solve c*n - n = -2*b + 4, 5*b + 4 = 4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.95 + -0.05. Suppose 0*f + f - 27 = 2*h, 18 = -2*h - 2*f. Let p = h - -8. Sort p, k, 2.\nAnswer: p, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**3\/3 + 5*c**2\/2 - 3*c + 1. Let i be u(3). Let s(q) = -3 + i - q. Let p(n) = 3*n**2. Give s(p(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -24 + (-950400)\/(-40000).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1626*r**3 - 56*r + 1347*r**3 + 58*r.\nAnswer: -279*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -43720854 divided by 2\nAnswer: -21860427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 - 42*q + 1513. Give u(-40).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 13. Suppose 2*t = p*t - 36. Suppose 7*z + 31 = -t. Let u(l) = l**3 + 5*l**2 + l - 5. Give u(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 - 160 = w + 2*a, -a = -w + 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 566453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10 + 0\/(-1 - 2). Let j be (-9)\/(6\/2) + s. Let c(w) = -4*w + 28. Let a be c(j). Solve f = 3*i - a*f, -4*i = -f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -64923\nAnswer: 64917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/4*5100\/1530?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0048570022 to four decimal places.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 + 35212*g**3 + 157361538*g**2 + 20915223760*g + 705624480800.\nAnswer: 2*(g + 68)**2*(g + 8735)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.4 + -489.4. Let h = -479.6 - i. Round h to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/32*(-2)\/(-10)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/10, 17\/9, -0.5, -2347 in increasing order.\nAnswer: -2347, -0.5, -3\/10, 17\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 128\/13 + 10\/65. What is the least common multiple of 9 and (-4)\/((-8)\/l) - -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/6502968 and -91\/2167656?\nAnswer: 6502968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 2:33 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -145, 2, 0.08 in increasing order.\nAnswer: -145, 0, 0.08, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 68 - 19 = 0. Calculate the greatest common factor of t and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 43, 23, -5, -41?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ztztitewtett.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 325*j**5 + 1265*j**4 + 815*j**3 - 185*j**2 - 60*j = 0.\nAnswer: -3, -1, -1\/5, 0, 4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239221.\nAnswer: 29, 73, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -4*y**7\/45 + 23*y**6\/60 - 8*y**5\/15 + y**4\/36 + 2*y**3\/3 - y**2 - 5. Let m(p) = 0. Calculate p.\nAnswer: -2\/7, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57*a*b**2 - 386*a*b - 910332*b**3 - 146809*b wrt b.\nAnswer: 114*a - 5461992*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 9:22 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + 0 + 3 + -11. Put -3, r, -9, -2 in increasing order.\nAnswer: -9, -3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*t - 3*t. Suppose 0 = 4*y - n - 4*n, t*y - 12 = 2*n. Differentiate 0*l - 1 + 2*l - y*l with respect to l.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-212)\/318)\/(1\/(9\/(-4))). Put 3, x, 0, -21 in ascending order.\nAnswer: -21, 0, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 265 = -203. Let s = -21 - z. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 9:00 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -15489110 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/3 + 2)*(-30)\/12. Which is the third smallest value? (a) y (b) 2\/9 (c) -3 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 1\/5, -4 in decreasing order.\nAnswer: 22, 1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 7 = -5*l. Sort 0, -3, l.\nAnswer: l, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 618243.9 millennia to centuries.\nAnswer: 6182439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15546 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 + 703\/15. Let w = 156 + -154. Let a = 2 - 1.8. Sort a, q, w, -1\/3 in descending order.\nAnswer: w, a, q, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i*i**(-3)\/i)\/i)\/i))**(-43)*i**(1\/3)\/i**(2\/3) assuming i is positive.\nAnswer: i**(-775\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 176*l**2 + 0 - 7\/3*l**4 + 0*l + 784\/3*l**3 + 1\/120*l**5. Factor g(a).\nAnswer: (a - 56)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/5*105\/(-63)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.57.\nAnswer: 2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19190592?\nAnswer: 2, 3, 33317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548 - 321 - 470 = 103*m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1262*-1*(-5)\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1059438794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -441 (b) -0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbbdbddbgr. What is prob of sequence gbd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 10*u - 4*z - 19, -5*z = -20. Let b = u + 4. Let w(j) = -j + 2. Determine w(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/2584072 and -91\/14212396?\nAnswer: 28424792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 494357, 988661, 1482965?\n\"Answer: 494304*d + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*d - 61 - 1 = 0, i = 5*d + 64. Let h = i + -58. Let k = -14 + 10. Which is the second biggest value? (a) k (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3714 - -658. Let n = h - -8671. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + 13 + -56 - -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d\/(d*d**7)))\/d*d**(-1\/9)\/d*d*(d**(2\/7)\/d*d)**11*(d\/d**(3\/8)*d)\/d**(-2\/11)*(d**(-1\/3)\/d)**(-1) assuming d is positive.\nAnswer: d**(73025\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*j + u, 2*u - 71 = -j - 84. Let w be 6\/(-9) + 2\/(-6). Sort -3, j, w, -4 in descending order.\nAnswer: j, w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -2. Let f = a - -7. Suppose 2*q = 4*q + 2*d, f = 3*q + 2*d - 4. Solve -5*r - 12 = -r + 4*b, -4*r + q*b = -20 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8634426 is divided by 118.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 16*d + 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 7*m + 8. Let w be c(-8). Suppose 21 = 326*b - 319*b. Solve -b*a = -w*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**3 + 5*f + 5. Let w(s) = s**3 - 23*s**2 + 23*s - 23. Let l be w(22). Let o(m) = -m**3 + m + 1. Determine l*j(r) + 5*o(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.034 to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o. Let v = -16 - 6. Let w(p) = 12*p + 1. Let i be (-1)\/(-4 - -2)*-52. Let q = 24 + i. Calculate q*w(t) + v*a(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 4. Let l be (-3)\/6*6*m. Calculate the highest common factor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*a - 4*a. Suppose -y + 3*y + 8 = 0. Sort 2, a, y.\nAnswer: a, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13724?\nAnswer: 2, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.1 + -0.9. Let n = q - -5. Which is the closest to n? (a) 5 (b) -0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.31 + 16.4887. Let a = -5.1727 + z. Round a to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5220 and 816?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8126174 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8 - 17 + 5 - x + 2. Calculate w(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2400*g - 2400*g + g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 - 2*y**3 + 2*y**3 + (-1 - 2 + 4)*(84*y**3 + 85*y**3 + y**3).\nAnswer: 171*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22091840 and 7905.\nAnswer: 2635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -d + 26, 0*d + 3*d = -3*k + 30. Let z = -3524 + 3530. What is the least common multiple of d and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 6 = 0, -m - 4*u = -0*m + 14. Let c(z) = -2*z + 3. Let v be c(m). Find the second derivative of 16*h + v*h - 2*h + 15*h**4 wrt h.\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - 37 - (0 + (5 - 4) + 11)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6498367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 818981521?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odmmtxx. Give prob of picking 2 x and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 3*m - 19*m**2 + 62*m**2.\nAnswer: 43*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxxxzxzxzxzxzzzxzxx. Give prob of picking 3 x.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.67163 rounded to 2 dps?\nAnswer: 2.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78.898 + -79. Let q = h + 0.1. Let d = 0 - q. What is d rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -960 - -948 - (-23 + (1 - 0)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 5*v + v + 4, 5*o = 3*v + 23 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 4 + 4. Let z be b(-2). Calculate the remainder when 7*z + (7 - 6) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -3*b**3\/2 - 3*b**2 + 51*b - 2. What is the remainder when a(-4) is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 0. Suppose 2*h - 3*r + 5 = 11, -5*r = 5*h - 15. Let z(c) = h*c + 9*c + t*c. Let i(d) = -2*d. Give i(z(u)).\nAnswer: -30*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/672*18*(-1)\/(-1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4468883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - 10131?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10512, 10511, 10508, 10503?\n\"Answer: -b**2 + 2*b + 10511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/21 + (-18)\/(-21). Let d = j + 3. Find the third derivative of -10*t**2 - d*t - 3*t**5 + 14*t**2 + 4*t wrt t.\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 100379043?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**4 - 150*u**3 - 1175*u**2 - 2550*u - 1520 = 0. Calculate u.\nAnswer: -19, -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 144 = 164*b - 167*b, -3*r + 72 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 - 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1336 + 19231*j - 1336.\nAnswer: 19231*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836293 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7353 + 12259. List the prime factors of b.\nAnswer: 2, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 12 = -k, 0*k + 2*k + 12 = y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i**2 + 5*i**2 - 3*i**2)*(14*i - 5*i + 4*i + (0 - 2*i + 0)*(-1 - 4 + 3) + i + 1 - 1 + 6 - 3*i - 6) to the form g + y*i**2 + c*i**3 + b*i and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/3)\/(305\/366).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 39*k - 8 + 12)*(8 - 3 + 2).\nAnswer: 273*k - 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 8*q + 268. Let y be z(-21). Let k(u) = u**3 + 7*u**2 - 6*u - 64. Determine k(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1098)\/(-378) + (-6)\/(-63).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3037862 is divided by 204?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3147 - 1504. Calculate the greatest common divisor of 106 and d.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p + 6. What is c(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8*u**3)**(3\/16) assuming u is positive.\nAnswer: u**(33\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62181881 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -252501 - 3*k**2 - 84*k - 54*k + 252642.\nAnswer: -3*(k - 1)*(k + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*-1*2 + (sqrt(12) + -1)*-3 - (3 + (sqrt(18)\/sqrt(2))\/sqrt(3) + (sqrt(363) + -1)*5))**2.\nAnswer: -820*sqrt(3) + 20197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.08 (b) -2 (c) -1619 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 7*t**2 + 4*t + 2. Let k be p(-7). Let v = k + 103\/4. Let s be (1\/(-3))\/((-2)\/6). What is the closest to s in v, -2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -475414950 + 34227905309\/72. Let w = 27377 + x. Calculate the common denominator of -53\/16 and w.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44404, 44395, 44372, 44329, 44260, 44159, 44020?\n\"Answer: -u**3 - u**2 + u + 44405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 0 + 6. Put 6, 4, d in descending order.\nAnswer: 6, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8273, -16962, -25805, -34796, -43929, -53198?\nAnswer: -62597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 24 = 0, -41*l + 25 - 4 + 13 = i - 45*l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence deyd when four letters picked without replacement from yededddeedydddeedd?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6868081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -f + 9, 2*y - 3*f + 2 = -0. Find the third derivative of x**5 - 4*x**5 - 3*x**2 + x**y wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-12)*(-57)\/(-2). Let g(b) = 3*b + 2. Let k be g(7). Let r = i + k. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 350, -3, 2, 3 in decreasing order.\nAnswer: 350, 3, 2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 123834457 a multiple of 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.42 in 83, -1\/6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/6)\/(-1 + (-50155)\/(-50145)). Let z be (-3)\/30*5 + s\/4. What is z rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 2*u + 120 - 116, 2*p = -6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -105*u**3 - 3*u. Let v(x) = 2*x**3. Give p(r) - 4*v(r).\nAnswer: -113*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 30*t - 91. Let w(i) = 1141*i - 3458. Let q = 15 - 13. Let h(o) = q*w(o) - 77*x(o). What is the first derivative of h(s) wrt s?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 448, 895, 1356, 1837, 2344, 2883, 3460?\n\"Answer: x**3 + x**2 + 437*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 15 = 0, 31 = 3*y + 5*p - 33. Solve 6 = -4*d + z - 3, -3*d = -2*z + y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**5 - 2*a**5 - 4*a**5 - a**5 + 48 - 48 - 4 + 2*a**5 + 4 + a**5 - 3*a**4 + 3*a**4 + (3*a**2 - 5*a**2 + 4*a**2)*(-2*a**3 + 3*a - 3*a).\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - s**2. Let y(m) = 7*m**3 + 16*m**2 - 12*m - 8. Let u(o) = 6*v(o) + y(o). Let j be u(-11). Solve 2*c - w + 12 = 0, -j*c - w = 2*w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*u + 1 - 1)*(u + 2*u - u) + 31*u**2 - 1182*u + 1182*u.\nAnswer: 27*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12734 (base 9) to base 8.\nAnswer: 20651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1958342?\nAnswer: 2, 979171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 125. Let p be n(0). Let l be (-2)\/(-4) - p\/10. Let a be (-60 - (10 + -5))*(-44 + 43). Calculate the greatest common divisor of l and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 902138225\/1431 - 630425. Calculate the common denominator of m and 31\/21.\nAnswer: 10017","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 124*i - 914. Let u be j(-7). Is 72 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.8 (b) 1 (c) 5 (d) 1\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + k - 1. Let h(p) = p**2 + 2*p - 3. Let f(l) = -h(l) + 3*q(l). Give f(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p - 1. Let m(s) = s + 1. Suppose -4*g + 24 = 4*u, -2*g - 2*u = -5*g + 3. Give g*m(l) + t(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*k**3 - 13*k**3 - 19*k**3 - 2*k**2 + 0*k**2 + 6*k**4 to m*k**2 + n*k**3 + u + o*k**4 + f*k and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 582.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 4. Suppose -5*v + 20 = 0, -3*a + 3*v = -4*a + b. Suppose -3*q + y - 8 = 0, 5*q = 2*y - a*y - 17. Let g(j) = j**3 + 4*j**2 + 4*j + 1. Give g(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11075 is divided by 3681.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*(-3 - 2 - 128). Let z = 842 + a. What is the least common multiple of 132 and z?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6071?\nAnswer: 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 68 (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 55*n**2 + 2135*n - 777. Give w(-39).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24929?\nAnswer: 97, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -z + 5*z. Do z and 5\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/8))**(-38)\/((((i\/i**12)\/i)\/i)\/((i\/i**(2\/59))\/i)) assuming i is positive.\nAnswer: i**(-303\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*w**3 + 5*w + 18 wrt w?\nAnswer: 102*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/2)*k)\/k)**(-2)*((k*k**(-1\/4))\/k*k)\/k*k**(-5) assuming k is positive.\nAnswer: k**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pex when three letters picked without replacement from {p: 2, h: 1, o: 2, x: 1, e: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -55102.6186.\nAnswer: 55102.5186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 3 - 1408\/18. Let r = v + 78. Let k = -127 - -130. Put r, k, -2, 4 in decreasing order.\nAnswer: 4, k, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q + 12. Let n be w(9). List the prime factors of (9\/n)\/(6\/(-32)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 325413.8777 to the nearest one thousand.\nAnswer: 325000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k*m**2*w + 2*k*m*w - 381*k*m - 2*k*w - 134863849*m**2*w + 6*m*w - 18*w wrt m?\nAnswer: -2*k*w - 269727698*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 6*u + 2. Let j be l(-6). Suppose j = -3*b - 1. Which is greater: -1\/8 or b?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 12. Suppose -10 = -r*b - 12. Let w = 5\/14 - -8\/7. What is the closest to b in 1\/3, 2, w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 67.6 and 1.5?\nAnswer: 101.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -l**3\/6 + l. Let r(i) = -2*i + 12. Let d be r(8). What is the remainder when w(d) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 348369 and 348368 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 minus -312626183180?\nAnswer: 312626183204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2461.3 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f. Let b(q) = -73 + 73 + 3*q**2. Calculate b(a(z)).\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*k**4 - 25*k + 147?\nAnswer: 12*k**3 - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -41*f**3 + 2*f**2 + 8*f + 6. Give p(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -3\/56, -1, 669?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 - 3. Let y(t) = t**2 + t + 3. Let q(n) = -2*o(n) - 3*y(n). Let k be q(4). Let z = 2 - k. Which is bigger: 1\/4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28249801 or 28249802?\nAnswer: 28249802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/40 - (-10)\/50.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 580 and 207\/4 - 257\/(-1028)?\nAnswer: 7540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/(-4))\/3)\/(3\/(-10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 18*a. Let s(v) = 81 - 56 + 65*v - 69*v. Calculate s(w(r)).\nAnswer: -72*r + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16275035*g**4 - 76268386*g.\nAnswer: -195300420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.4 (c) 6 (d) -63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + -3 + 1)*65\/39. Put o, 11, -3, 0 in descending order.\nAnswer: 11, o, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 9:16 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7010033 (base 11) in base 8?\nAnswer: -57271164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 8)*(0*p + p - 2*p) as s*p + z and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23\/29 or 0?\nAnswer: -23\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5 = 3*b, -b = i - 3*b. Suppose 0*k = -2*k + i. Solve k = -h + 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -53000*i + 3. Let p(u) = 882*u. Give k(p(c)).\nAnswer: -46746000*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 97510 and 175518.\nAnswer: 877590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 5*q**2 - 2*q - 24. Let n(o) = -o**3 - 6*o**2 - 2*o - 24. Give -2*n(c) + 3*p(c).\nAnswer: -c**3 - 3*c**2 - 2*c - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(14\/(-8)*(-96)\/(-112)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1976942 - 0.206506373\nAnswer: 1976941.793493627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -784576?\nAnswer: 784573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5\/13 - 1980542*l**4\/13 + 304700*l**3 + 7922168*l**2\/13 - 15844368*l\/13 = 0. Calculate l.\nAnswer: -990273, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 52?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3*x - 30 = 0, 0*k - 5*k + 9*x - 8*x = 6*x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -18*o - 6. Let z be i(-2). Solve 0 = -3*a - 3*r + 6, z = -5*a - 2*r + 5*r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4719*w**4 + 3368?\nAnswer: -18876*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 19*x + 1. Let m be h(6). Suppose -131*j + m*j = -576. What is the remainder when 51 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**36)**(-38) assuming c is positive.\nAnswer: c**(-1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736313277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 2 - 2)*((-3*w + 4*w + 0*w)*(18*w - 18*w + 4*w**2) + w**3 - 5*w**3 - 3*w**3).\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5369730 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4*x + 6. Let r(v) = -v**3 - 3*v**2 + 2. Let j be r(-3). Suppose 5*k - 2*n - 4 = x*k, 0 = 5*k + j*n - 24. Solve 6*f - k*f + 10 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-4))\/(2\/(-14)*7434\/(-46728)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.76 * -0.0456\nAnswer: -0.034656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i + 815 = 786. Do i and 7\/1117 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.063 - 16.063. Let q = -0.148 - 10.152. Let r = c - q. What is r rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 159 + -165. Let q(c) be the second derivative of -c**5\/20 - 5*c**4\/12 + c**3 + 9*c**2\/2 - 11*c. What is q(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {z: 1, q: 2, i: 2, j: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**23*j*j*j\/(j**(2\/23)\/j))\/(j**(-2\/3))**(-32) assuming j is positive.\nAnswer: j**(385\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12b50 (base 14) to base 13\nAnswer: 17cc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**2 + 103617*a + 103620 = 0. What is a?\nAnswer: -1, 34540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**3 - 3*i**2 + i + 2. Let n(y) = -y - 1. Let d be n(-14). Suppose 2*c + 3*s + 11 = 0, -c - 2*s = s + d. Calculate b(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46.23 + -47. Let r = l - -0.76999912. Round r to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**2 + o**2 - o**2)*(10*o**2 + 4*o**2 + 13*o**2) + (1 - 5 + 2)*(-2*o + 2*o + o**4) in the form x + c*o**4 + a*o + u*o**3 + n*o**2 and give c.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d - 0*d. Suppose 0 = -d*r + 4*r - 14. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v - 2. Let a = 198 - 201. Calculate p(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n - 7786 + 63936. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 0)*(3 + 2). Find the second derivative of i - l*i - 2*i**2 + 2*i wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -3. Let z be b*(-40)\/(-18) - 2. What is the closest to 0 in -0.2, 5, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301, 474, 525, 448, 237?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1410)\/3384)\/(2\/6*25)*-6?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) -5 (c) -13\/7 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-58 - 1\/(-1))*(-30)\/(-45). Let h = c - -64. What is the least common multiple of 16 and h?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 143*p - 3319. Give b(29).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z**3 + 32*z + 33*z - 66*z + 2*z**3 + 4*z**3 - z**3 + (z + 2*z**2 - z)*(z - 5*z + 2*z) to the form q*z + p*z**3 + w*z**2 + a and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 n, and 1 y when four letters picked without replacement from {x: 3, p: 1, n: 1, y: 5, d: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18699 and 11382.\nAnswer: 261786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m + 5. Suppose 0 = 5*s + 4*i - 33, -5*s + 4*s + 3 = -i. Calculate the remainder when v(-2) is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 0 + 16. Let b = 36 + q. What is the remainder when 58 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 3, g: 12}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -2, 3, 3\/190, 1704, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -292, 7, 19, 0, -2, -0.1, -3\/7 in ascending order.\nAnswer: -292, -2, -3\/7, -0.1, 0, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c - 5*c - 2*c + 85 + 5*c. What is the tens digit of j(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2 + 9*u - 18. Calculate p(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -78046, 2 in descending order.\nAnswer: 5, 2, -4, -78046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) -1 (c) 0.2 (d) 3 (e) -0.069 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 10. Let l be (j + -3)\/(-3 - -4). Sort -1, 5, l.\nAnswer: -1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5892 and 24.\nAnswer: 11784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 16173?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5479925495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7076586 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9086 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - t - 4)*(2 - 26 - 2)*(-3*t + 3 - 4 + 0).\nAnswer: -78*t**2 - 26*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 48348, 96496, 144644, 192792?\n\"Answer: 48148*b + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**3 + 3699*h**2 - 11076*h + 7380 = 0.\nAnswer: 1, 2, 1230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 5*n**5\/3 - 40*n**4 - 3185*n**3 - 76130*n**2\/3 + 28600*n = 0.\nAnswer: -26, -11, 0, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3 - 13. Suppose -2*b + j = -0*b - 9, 0 = 5*b + c*j - 15. Suppose -5*r + 1 = -b*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -47, 2 in decreasing order.\nAnswer: 2, 1, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**2 + i**2 + 0*i**2)*(-2*i**2 - 3*i**2 - i**2) as o*i**2 + j + f*i + r*i**3 + b*i**4 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/(((-1)\/(-8))\/((-25)\/300)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**5 - 525*g**4 + 134510*g**3 - 2546250*g**2 - 134505*g + 2546775 = 0?\nAnswer: -231, -1, 1, 21, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 152*o**5 - 1934*o**4 + o**2 - 6293898*o wrt o.\nAnswer: 3040*o**3 - 23208*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -13*q**2. Let a(l) = 819298*l**2. Give a(u(d)).\nAnswer: 138461362*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1477323441?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/2)\/(682\/(-88660)))\/(1\/1).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3\/7 + 24*m**2\/7 - 20*m\/7 - 48\/7.\nAnswer: -4*(m - 4)*(m - 3)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 362 - 357. Let t be ((-1)\/(-2))\/((-5)\/(-330)). Sort t, -1, p in increasing order.\nAnswer: -1, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4412.23 + 4433. Let b = -21 + h. Round b to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/1956? (a) -0.4 (b) -5 (c) 171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-686)\/(-7))\/(3\/6)*197\/(-394)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2438462585?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (29 - (27 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -170? (a) 27 (b) -0.2 (c) 4 (d) -0.3 (e) -81\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4191 - -4217. What is the remainder when 153 is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b - 2685. Let c(j) = -308*j**2. Give x(c(g)).\nAnswer: 616*g**2 - 2685","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Suppose -r + 15 = g*r. Suppose 4*a = -r*h + 25, -2*a + 4*a = 5*h - 55. Calculate the least common multiple of 10 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9644528.\nAnswer: 2, 457, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 588105 and 23940?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161820 is divided by 101?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvf when three letters picked without replacement from {k: 1, v: 1, b: 1, f: 1, w: 5}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, i: 16}. Give prob of sequence icii.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 13 + 85 = 0. Let k = m + -362\/5. Which is the third smallest value? (a) k (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/144 and -113\/63432.\nAnswer: 126864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -39*h**4 - 19896*h**3 + 431049*h**2 - 347394*h - 63720 = 0. Calculate h.\nAnswer: -531, -2\/13, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1188 + -1177. Solve f - 4*p - n = 0, f + 10*p - 5 = 11*p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - r + 8. Let l(b) be the first derivative of -b**3 - 3*b**2\/2 + 41. Calculate l(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 366*r + 3466 - 172 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-66)\/(-65) + -1). What is the third derivative of -19*l**3 + b + 19*l**2 + l**3 - 65 wrt l?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/703 - -13363\/4218. Let q = x + -2\/3. Let n = -1\/17 + -31\/51. Which is the nearest to n? (a) 1\/2 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-47)\/((-1222)\/195)*4\/10. What is the nearest to 1 in -15, l, 7, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - 4*v**2 + 3*v**2)*(-5*v - 3*v + v)*(8 - 1 - 2).\nAnswer: -105*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2450)*-6)\/(sqrt(20)\/sqrt(18) - sqrt(10)).\nAnswer: 63*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**3 + 9*o**2 - 3 + 4*o**3 + 44*o**4 + 3*o**3 - 2*o**3 + 3*o - 8*o**2 as z*o + y*o**3 + g*o**4 + m + j*o**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15866.9 + 15867. What is the closest to -1 in y, 31, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 16 = -w + b, 267 = -2*b + 271 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-105 - 159 - 47)*(5*j - j + j) in the form f*j + l and give f.\nAnswer: -1555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*l - f, 2*f + f - 12 = 4*l. Suppose l = 4*y - 3*y - 6. What is the smallest common multiple of 10 and (y\/4)\/((-15)\/(-200))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 - 3*t**2 + 3*t**2)*(-11470 - 5687 + 2681)*(3 - 4 - 1).\nAnswer: -28952*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3 = -a. Suppose -a*k - 3*p = -63, -4*k = -4*p - 56 + 4. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 3\/4, -4, -4.8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -25894*h + 621558. Calculate k(24).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 0 (b) -30 (c) -3\/8 (d) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -5*r**3\/7 + 257072*r**2\/7 - 1131044*r\/7 + 1233840\/7 = 0.\nAnswer: 2, 12\/5, 51410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.5 and -2.42652.\nAnswer: 18.1989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -45. Let w be (-5)\/45 - 1\/r. Solve -6*u + 9*u = w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1670.185 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 3*o + 1. Let d be q(-2). Suppose 3*f - 15 = -4*r + 32, -4*f + r + 31 = 0. Solve -d*v - f = -0*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39646 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29116014 to the nearest integer?\nAnswer: 5396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -61, -76, -75, -52, -1, 84, 209?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 6)*(2613*a**2 + 2271*a**2 + 1371*a**2)*(-6*a**2 + 3*a**2 + a**2) in the form q*a**4 + o*a**2 + h*a**3 + b*a + w and give q.\nAnswer: 62550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w - 308 = 7*w - 10*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-16)*o**3\/o assuming o is positive.\nAnswer: o**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (60\/18)\/(4\/6). Suppose 0 = -5*g + m + 10. Suppose -18 = -g*a - c, -3*a = a + 3*c - 29. Solve -4*l = 4*x + 8, a*l - 4*x = 3*l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 11*v**2 - 12*v - 16. Suppose -5*a = -3 + 53. Let g be z(a). Solve i = g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279 and 3816162.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.030818087 - 0.4\nAnswer: -0.369181913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 6*n - 2. Let z be b(-5). Let d be (-45)\/(-9) - z*1. Solve d*k + 5*o - 28 = 0, 3*k - 2*k - 16 = -3*o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -196, -237, -280, -325, -372, -421?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -24. Let y = 10 + g. What is the nearest to -1\/2 in 0.1, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/7997 and 45\/1454.\nAnswer: 15994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000839589 to five decimal places.\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/54 and 23\/20.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkvvkvkkvzkvkv. Give prob of picking 4 k.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 7:52 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 53599 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 8 = -j, 7*j - 22 = 5*t + 34. Let g(n) = -5*n. Let u be g(-1). Solve -5*m + 25 - u = t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536 - 651 - (-190 - -2).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*(sqrt(24) - (sqrt(216) + sqrt(216)*2 - sqrt(216))))\/(-5*-1*sqrt(8) - 4*(sqrt(8) - (sqrt(8) - (sqrt(72) + sqrt(8))))).\nAnswer: 75*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -28*g**2 - g + 8. Let i be o(5). Let x = i - -11163\/16. Calculate the common denominator of 190\/12 - (-2)\/3 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5*q - 84 = -78, -3*j - 3*q - 6 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -228, 5, 43\/2, -4 in descending order.\nAnswer: 43\/2, 5, -4, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m - 1993205 + 1993273 = j, 0 = -m - 3*j + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sazh when four letters picked without replacement from {h: 1, u: 2, p: 2, a: 2, s: 4, z: 3}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 7*c**3 + 34. Let l(w) = 15*w**2 + 6*w + 3. Let x(d) = -76*d**2 - 32*d - 16. Let z(q) = -16*l(q) - 3*x(q). Calculate n(z(o)).\nAnswer: 3024*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-123)\/164)\/((((-3300)\/128)\/(-11))\/(12\/(-16)))?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 5*t - 3*t - 4*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 + 119\/2. Let q = 3 + -3.5. Which is the third smallest value? (a) q (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2*p + 0*p)*((-4 + 1 + 1)*(-2 + p + 2) - 3*p - p + 2*p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 262509 and 7682103?\nAnswer: 4953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -406*k**2 - 29*k - 29. Let h(q) = -29*q**2 - 2*q - 2. Give 87*h(y) - 6*m(y).\nAnswer: -87*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90 - 88. Calculate the common denominator of 10\/t*10\/35 and 4\/(-6) + 138\/99.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4036901 and 27.66293?\nAnswer: 28.0666201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*a**3*t - a**3 + 31*t wrt t.\nAnswer: -46*a**3 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 212*m**2 + 3*m - 592*m**2 + 2*m.\nAnswer: -380*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 - 3*l + 10. Let c be f(5). Suppose -6*t = -106 + c. Let o be t - 264\/40 - 54\/10. Let u(h) = -h**2 - 6*h. Determine u(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -642, -1287, -1932, -2577, -3222, -3867?\n\"Answer: -645*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00062455923 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 6 = -5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1107297 is divided by 25160?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 80 - 2 = 2*i, 0 = -a + 4*i - 2. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 2*i + 3*i + (-2*i + i + 0*i)*(-3 + 4 - 3 + (-59 + 0 + 5)*(3 + 1 - 1)).\nAnswer: 169*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2. Let f(x) be the second derivative of -535*x**3\/6 + 389*x + 2. Determine f(y(z)).\nAnswer: 1070*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 8 = 4*y, -5*t + 17 = -3*y - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - z - 20 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g + 5908 = -4*o + 5808, 0 = 4*o - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -189822 divided by -11166?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89 and 5340.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 37*j - 136. Let t be c(-3). Suppose 0 - 1\/2*h + 3\/4*h**t = 0. Calculate h.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670544801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*s**4 + s**5 + 55 - s - 29 - 44 wrt s.\nAnswer: 20*s**3 - 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 1 = -j - 14*t, 0 = 3*j - t + 1. Sort 2, -52, 4, j in ascending order.\nAnswer: -52, j, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/5*(-53)\/((-2226)\/(-21))*10\/(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -150, -6, -0.2 in decreasing order.\nAnswer: 2, -0.2, -6, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 1 = 3. Let x(h) = -2 + 0 - h + 1. Let w = -7 + 4. Let c(q) = 2*q + 5. Determine d*c(n) + w*x(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9*534.391\nAnswer: -4809.519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -612 minus 0.5?\nAnswer: -612.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -15*u + 120 - 22*u**2 - 328271*u**3 + 328287*u**3 - 49*u - 2*u**4 = 0.\nAnswer: -2, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4.43, -1\/3, 3, -14, -59?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-13) - 50\/(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)\/(t**(-3\/8)\/t*t))\/(t**(-2\/19)\/(t\/(((t**(-3\/8)*t)\/t)\/t))) assuming t is positive.\nAnswer: t**(-163\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 2*d - 2*d - 16 - 5*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1383733+5\nAnswer: 1383738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*960\/288\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1342 (base 7) to base 8\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/182 and -9\/112.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/3)\/(14\/987). Let c = k + 80. Solve -2*l = -b - 8, -2*l = 3*l + 4*b - c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + y + 35, -y + 7 = -5*o + 33 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + k. Let i(g) = -g**3 + 2*g**2 - 2*g + 2. What is -i(z) - 2*y(z)?\nAnswer: z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = 25*d - 20*d. Differentiate -2*b - 28*b + d - 29*b with respect to b.\nAnswer: -59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-54)\/(-10) - (1 + 9\/(-15)). What is the smallest value in -3\/4, a, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.06 (b) -5 (c) 0 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -126793.\nAnswer: 25358.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -104*y + 499. Let u be s(5). Suppose 3*f = 0, -3*d - 8*f = -3*f + 60. Is d greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, -2, 5, 626?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64390985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 + 2342?\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6053 - -10157. Suppose 27 + 5106 = 5*k + 2*z, -4*z = 4*k - t. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 924304 is divided by 117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14073 + -13088. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*3)\/(-6)*10\/30?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 0.351?\nAnswer: 0.351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2684\/8*-6*((-1357)\/1518)\/(-59).\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8171 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77330 and 17501?\nAnswer: 3325190","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.07 + 0.07. Let m = -3 - j. Let z = 1 - m. What is the second biggest value in -0.2, 4\/7, z?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**6\/120 - 2*l**5\/15 - 7*l**4\/24 + 2*l**3\/3 - 2*l**2. Let u be w(-7). Let p = u + -2. Solve x + 2 = -p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2681*a - 1. Let w(g) = 6*g**2 - 66*g + 4. Determine r(w(z)).\nAnswer: -16086*z**2 + 176946*z - 10725","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14*6\/16*(-87)\/((-1566)\/312)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x - 10. Let d be p(-2). What is the second biggest value in 8\/7, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6299, 7, 35, 3, -3 in decreasing order.\nAnswer: 6299, 35, 7, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n**2 - 11*n - 4. Let i(y) = -5*y**2 - 10*y - 3. Let a(v) = -6*g(v) + 7*i(v). What is the units digit of a(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -6, 143*v - 288*v - 15 = -141*v + 5*a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.1887 - 19.2. Round b to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/4242 and 1\/4848.\nAnswer: 33936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32535644363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8003\/70 or 646?\nAnswer: 8003\/70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191811.\nAnswer: 3, 17, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -24. Let t(u) = 2*u**3 - 2*u**2 + 6*u - 15. Let f be t(2). What is the greatest common factor of s and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -27*b**3 + 10*b**2 + 18836*b - 33. Let p(d) = 22*d**3 - 8*d**2 - 15069*d + 27. Determine -11*p(m) - 9*q(m).\nAnswer: m**3 - 2*m**2 - 3765*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 407, 461, 515, 569, 623, 677?\n\"Answer: 54*r + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -8*i**2 + 6*i + 62. Let b be t(-12). Calculate the common denominator of 13\/44 and (b\/20)\/7 - (8 + -12).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of 3086384316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 123596046 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d - 3*d - 5 - 2*d - 1. Let g be j(5). Solve -5*a = 5*l + 35, 0*l + g*a - 2 = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -2. Let y(p) = -11*p - 1. Is 5 a factor of y(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14807608 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: How many minutes are there between 7:18 AM and 9:47 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 4*w**2 + 4*w**2)*(175*w + 25*w - 35*w)*(3 - 2 + 1).\nAnswer: 330*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1. Suppose -5 = 2*a - 7*a. Let m be (-22)\/8 - (a + -4). Which is bigger: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/137, -102, 2\/11 in descending order.\nAnswer: 2\/11, -4\/137, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/21 + (-19)\/(-3). Let t = 18 - b. Let u = t - 7. Solve u*l = 3*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1177458*m**4 - 1640973?\nAnswer: -4709832*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(11) - (sqrt(11) + 1 + sqrt(11))**2) + 4.\nAnswer: -38 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 11028?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x - 659364 = -23*x. Let i = 4450768\/81 - x. Find the common denominator of -62\/81 and i.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1827.1 and 2?\nAnswer: 1825.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -760276 and 0.023.\nAnswer: -17486.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260 - 92 + j - 88 - 80.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*a - n, 14 = -4*a + a - 2*n. Let g(q) = 2*q**2 + 10*q - 4. Does 22 divide g(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 33 = x, 5*x - 9075*j + 9076*j - 10 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4161307776 by 6.\nAnswer: 693551296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 119.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -522284, -2089146, -4700568, -8356538, -13057044, -18802074, -25591616?\nAnswer: -33425658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**8\/48 + 13*p**6\/10 + 182*p**5\/15 + 1821*p**2. Find the third derivative of j(v) wrt v.\nAnswer: 420*v**2 + 936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 13*f**2. Let n(k) = 4*k**2. Let u = 433 + -437. What is u*j(h) + 14*n(h)?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6728, -6653, -6574, -6491, -6404?\nAnswer: -6313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4035*s - 4304*s = -2413*s + 349634 for s.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 + 87*h - 891. Calculate the remainder when o(28) is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-6 + 2 - -2) - -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 18*r + 10. Let b(d) = 7*d + 4. Let y(v) = -5*b(v) + 2*h(v). Let w(j) = -26*j. Let u(i) = -i. Let o(s) = -3*u(s) + w(s). Calculate o(y(p)).\nAnswer: -23*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0)*(-5 + 2). Suppose -r = 3*r + 2*s - 82, h*r = 2*s + 51. Calculate the remainder when 75 is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34dcf2 (base 16) to base 2.\nAnswer: 1101001101110011110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -364558, -364552, -364546, -364540?\n\"Answer: 6*y - 364564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 4912 and 4913 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1050*o**3 + 45*o - 79. Is l(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 14*b = -26. Let y(d) be the third derivative of 0 + 0*d**3 + 1\/30*d**5 - 1\/24*d**4 + d**b + 0*d. Find the second derivative of y(f) wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z + 3*z**2 - 2*z + (4 - 1 + 14)*(-z**2 + 0*z**2 + 2*z**2).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 193333491 and 17589.\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*x - 9*x + 18, -5*b + x = -6. Solve -b*a = -r + 14, -3*a + 5 = 6*r - r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 7*t**2 + t - 2. Suppose 5*u + 3*k = -41, -4*u = -0*u + 4*k + 36. Determine s(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 22*h**2 - 19*h + 84. Let v be p(-23). Let t be (13 + v)*65\/25. Solve 6*n + 7 = t*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 14 = 2*c - 4, -5*v + 4*c = 6. Suppose -x - 48 = -3*a + 10, -3*a + v*x = -56. Suppose g = -0 + a. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67 + 34 + 39)*(-3*r + 4*r - 2*r).\nAnswer: -140*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2251180 rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -219096\nAnswer: -5\/219096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c = 5*c + 54 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g + 1. Let x be z(1). Suppose c = -x*b - 2*c + 6, 0 = -b + 3*c + 18. Suppose -2*p = -b*p + 168. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/48*1\/2. Which is the closest to -4\/15? (a) g (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 6*n - 9. Let p be r(11). Suppose 2*o - p = 82. List the prime factors of o.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1376.3 * 5\nAnswer: -6881.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18812 is divided by 4618?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -15*t**5 + 2754*t**4 + 86934*t**3 - 34668*t**2 - 2163975*t - 854550 = 0.\nAnswer: -27, -5, -2\/5, 5, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 4*m - 11, -4*l + 708*m + 7 = 709*m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -136 + 140. Solve n + 12 = 4*g, 3 = g - 2*n + f*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i - 18. What is t(7)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135121, 135118, 135115, 135112, 135109?\nAnswer: 135106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, w: 5, l: 2}. Give prob of picking 3 w and 1 c.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000587425164 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3066989\/78 - 39321. What is the common denominator of j and -44\/57?\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -25.54?\nAnswer: 76.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 115\/184 + (-129)\/(-24) + -5. Factor -3\/2*p**3 + v - 4*p**2 - 3\/2*p.\nAnswer: -(p + 1)*(p + 2)*(3*p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -1 + 9. Suppose 5*g = -r + 2*r + 15, r - p*g + 3 = 0. Let z = r + -3. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/7 (b) 0 (c) -4\/7 (d) -1 (e) 222 (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*c + 277 - 1873 = -113*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3780933, 3780934, 3780935, 3780936, 3780937?\n\"Answer: p + 3780932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(160) + sqrt(160)*2 + sqrt(160) + sqrt(160))*4)\/sqrt(4))\/(sqrt(64)\/(2*sqrt(200))).\nAnswer: 200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -7*b**3\/3 - 17*b**2\/2 + 1642. Let s(f) = -2*f**2 - 6*f. What is -6*j(u) + 17*s(u)?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 9:06 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -448*n + 73. Let q be z(0). Solve -k = -2*i + 4, 4*k + 81 = 4*i + q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 2. Let p be i(-1). Let r be -6*p\/6*1. Solve r*a = -14 - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 16) to base 10\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + 0 + 0 + (n - n + n)*(-4*n + 0*n - 44*n) - n**2 + 4*n**2 + 14*n**2.\nAnswer: -33*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -181*n - 212. Is r(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 3*d + 16, -4*m - 13 = -3*m - 4*d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g + 302 - 122 = 0 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*(sqrt(15)*-2 - sqrt(15)))\/sqrt(3)*6.\nAnswer: -108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304705 and 61090.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j. Let i be x(-2). Let c(s) = -3*s - 4. Let d(o) = 1756 + 4*o - 875 - 876. Calculate i*d(z) - 3*c(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -299409, -598769, -898129, -1197489?\n\"Answer: -299360*g - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (3 + (5 - 8) - (10 + -12)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2594, 2591, 2576, 2543, 2486, 2399?\n\"Answer: -l**3 + 4*l + 2591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*-2 + (sqrt(28))**2*-5.\nAnswer: -140 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in years?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 34*y**2 - 4*y. Let w(r) = -r**2. What is o(w(g))?\nAnswer: 34*g**4 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -133.7 + 134. Which is the nearest to -0.07? (a) h (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203760 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -39, -75, -123?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5594 = 5*w + 3*u, 169*w - u = 173*w - 4478. What is the lowest common multiple of 800 and w?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/(-1)*(5 + (-121)\/22)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrjbu. What is prob of picking 1 b and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**3 + 8*t**2 + t + 7. Let g = -40 - -46. Is w(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**4 + 0*i**4 - i**4 + (-1 - i**2 + 1)*(-4*i**2 + 2*i**2 + 0*i**2) - 12*i**4 + 179*i**4 - 17*i**4.\nAnswer: 154*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -395 + -1098. Let l = h + 17963\/12. What is the common denominator of l and 73\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -111*f. Let b(g) = g - 9. Give b(w(j)).\nAnswer: -111*j - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 844691783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 85 = -5*d. Let m = d - -29. What is the highest common factor of m and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*k + 127, 4*k - 6*k = 2*m - 86. Suppose k*v + 376 = 53*v. Differentiate 49 + v*p**4 + 26 - 32 wrt p.\nAnswer: 188*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42174455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115 - 59. Is b a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**3 - 4*a**2 - a - 4. Let z be c(5). Suppose -25*l = -741 + z. Solve 2*h = -4*v - l, -6*v + 5*v - 24 = 5*h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192725591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 3:27 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 10 = -6*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101101111010 - 11001?\nAnswer: 1101101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6644 and 22?\nAnswer: 6644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0, 116, -1075, -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -67*t**4\/24 - 4*t**3\/3 - 9*t**2. Let z be q(-4). Suppose -z = 12*k - 17*k. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 464518580 divided by -4\nAnswer: -116129645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + -3*sqrt(21)\/sqrt(3) - ((sqrt(28)\/sqrt(4))**2 + 0).\nAnswer: -7 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 + 4.96. Let k = -33 - -34. What is the second smallest value in 0.4, k, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -0.3 (c) 96\/41 (d) 2 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (-5)\/(-2))\/(20\/(-40)). Suppose -290 = -o*m - 2*m. Calculate the highest common divisor of 145 and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 5*g - 94 + 110 = 0, -3*s + 3*g - 9 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 60491128 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 3. Let i be q(8). Let m be -3 + -12*412\/(-40). Let x = -121 + m. Which is the closest to 1? (a) i (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77.1938 + 0.1062. Let s = h + -56.3. Which is smaller: s or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 2*i - 42. Let u be 20 - i\/(-18)*-12. Solve -4*h = 5*f - 7*h - u, 6 = -3*h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25333648?\nAnswer: 2, 1583353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 95475464701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 5*s**3\/3 + 9*s**2\/2 - 9*s - 2. Let u(m) = m**2. Let g(w) = l(w) - 6*u(w). Let n be g(6). Solve 2*o = -o + n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, n: 7}. What is prob of sequence xn?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 + -188\/3. Sort j, -5, -3 in descending order.\nAnswer: j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 3, 4118\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -11*a - 4. Let p(b) = 23*b + 8. Let m(l) = 13*h(l) + 6*p(l). What is the tens digit of m(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/317, -7, -13\/808 in decreasing order.\nAnswer: 4\/317, -13\/808, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45 - (-47 - -14) - (-2 - -5)) + -12.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.492 in -0.8, 0, -12, 1\/12, 5?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 662 (base 16) to base 7\nAnswer: 4523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 23*g**2 - 2*g + 1. Suppose -4*v = -q - 2, 3*v = q - 4*q + 9. Let u be z(v). Let t = u + -13. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/141656 or 1?\nAnswer: -3\/141656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74649511.\nAnswer: 74649511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 24*s**2 + 26*s + 25. Let u be l(25). Is 7490\/u - 3\/(-15) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*d - 17, 4*d - 3*l - 12 = 1. What is the first derivative of -4*g + d*g - g - 12 - g wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**6\/120 - 7*g**5\/30 + g**4\/2 + 11*g**3\/6 + 57*g**2. What is u(13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 14 + 4 + b - 18.\nAnswer: b - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**5\/17 - 6*a**4\/17 + 66*a**3\/17 - 106*a**2\/17 + 48*a\/17 = 0.\nAnswer: -8, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17126, -17466, -17806, -18146, -18486?\n\"Answer: -340*m - 16786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a8168 (base 12) to base 14.\nAnswer: -39166c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 960 and 15945.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16722023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 129 - (-50)\/(-15)*(-12)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2008, -2020, -2056, -2128, -2248, -2428, -2680?\nAnswer: -3016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -669.1 to the nearest 10.\nAnswer: -670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 - -66. Let w be (-5)\/2*20\/(-25). What is the highest common factor of i and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008028 rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-8))**(-3\/44)\/(k**(2\/31))**(-17) assuming k is positive.\nAnswer: k**(659\/1364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705678509.\nAnswer: 705678509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12694377+10\nAnswer: -12694367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -54 - 7*j**4 + 213 + 64*j - 160 - 3*j**3 in the form b*j**4 + g*j + w + p*j**3 + q*j**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*k**3*l**2 - 14*k**3 - 9*k**2*l + 4402*k*l**5 - 21*k*l wrt l.\nAnswer: -72*k**3 + 88040*k*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from {g: 1, y: 2, h: 4, p: 5, d: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 20*b. Let a(k) = -18*k. Let o(p) = 5*a(p) + 4*l(p). Let h(m) = -4*m. Let i(x) = -2*x. Let f(n) = 2*h(n) - 3*i(n). Determine f(o(d)).\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-50)*-15)\/(-2 - (-12)\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - g = 2*y + 21, y - 41 = 5*g. Let d(o) = -o**3 - 3*o**2 - 2*o + 2. Let c be d(-2). Calculate the highest common divisor of y and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -293 (b) 2 (c) -4 (d) 1451\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - 0)*2\/(-60). Let u = 11840 - 319681\/27. Sort 0, n, u in decreasing order.\nAnswer: n, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiippiiiiipiiiip. Give prob of sequence pii.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11 + 115\/5 + 4*-1. Solve -12 = 3*z - 2*z - 4*q, 4*z = -4*q - i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, w: 2, g: 8, d: 2}. What is prob of sequence ddiw?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.6 + 18. What is the nearest to -5\/3 in d, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g**2 + g. Let i be d(-1). Let t be 1*1\/2*i. Let p be (5 + -2)*t\/6. What is the highest common factor of 11 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*80\/((-400)\/20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, d: 2, p: 1, i: 1}. Give prob of sequence didz.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 7\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exe when three letters picked without replacement from {e: 3, x: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09598876 * 25.\nAnswer: -2.399719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-122)\/(-10) + ((-30)\/25 - -1). What is the greatest common divisor of 24 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/20)\/((-129)\/78174))\/(9\/15).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mno when three letters picked without replacement from rjmjxoomn.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*t + 347*t = -181*t + 400*t + 10738 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-100)\/(-168)*3 + -2. Is t equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2. Let f(i) = i**2 + i - 1. Let b(x) = 6 - 3*x**2 - x**2 - 5*x - x. Let l(g) = -b(g) - 6*f(g). Give l(o(k)).\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4410*s**2 + 0 - s - 4411*s**2 - 4 in the form x + q*s + r*s**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16649 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/336300 and 179\/212400?\nAnswer: 4035600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(121)*2)\/(sqrt(275)*6))**2.\nAnswer: 176\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37749, 37747, 37749, 37755?\nAnswer: 37765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59 - 82) + 4 + (3 - 3).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**3\/6 + 6*f**2 - 3*f. Let n be p(-10). Suppose -s - 77 = -n*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - v = 53, 5*a = 3*a + 5*v + 18. Suppose 0 = a*x - 26*x. Solve x*r**2 + 3\/5*r**3 - 3\/5*r + 0 = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = -4*k + 124. Let n be 14\/k*(-3)\/(-22). Is n at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 1\/1*(20 + -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1728\/1215 + (-2)\/18*2. Find d such that 2\/5 - 2\/5*d**3 - g*d + 6\/5*d**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -822, -4\/5, -1523, 0.4, -4\/3, -1\/3, 0?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*f**3 - 129880*f**2 - 5867475*f - 65277500 = 0. Calculate f.\nAnswer: -25, -20, 26111\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*d - 2*d**2 - 32*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -1\/15*l**5 + 0*l + 0 - 8\/3*l**3 + 61*l**2 + 2\/3*l**4. Suppose b(x) = 0. Calculate x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2003578a3 + 1?\nAnswer: 2003578a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= 722\/441363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b5da + e?\nAnswer: -b5cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 0*d - 3*d)*(d + 0*d + 0*d - 4*d + 5*d - 2*d + (-150*d - 483*d - 94*d)*(-4 + 1 + 4)) as g + v*d + r*d**2 and give r.\nAnswer: 1454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36884 + 724?\nAnswer: -36160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(5) + sqrt(10)\/sqrt(2)) + (sqrt(3) - (1 + sqrt(3) + 0)) - 4*(sqrt(9)\/sqrt(48))**2.\nAnswer: -7\/4 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006 is divided by 234?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccjj when four letters picked without replacement from cccccccccjjc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*a + 4 + 10, 0 = -3*a + 2*v + 26. Let q(r) = -r**2 + 62*r - 463. Calculate the lowest common multiple of q(53) and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1461197.\nAnswer: 1187, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7d310 + 98?\nAnswer: 7d3a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -20254\/45 (c) -2\/71 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 110\/3. What is the nearest to -0.1 in 0.1, r, 3\/31?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 5*h + 18, 3*h - 14*u + 19*u + 38 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 30*b = 29*b + 18, 2*i + b = 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccddcdcccdcd. Give prob of picking 2 d.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3 + 10*k - 14*k + 0 + 7*k**2. Let x(i) = 8*i**2 - 5*i - 4. Give -6*f(q) + 5*x(q).\nAnswer: -2*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-9) - (-22)\/18. Let u = i - -8. Suppose -f - u = 3*m, 4*m + 4*f + 27 = 7. Put 1, -5, m in descending order.\nAnswer: 1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -5, -4, -42, -24, 9, 3 in decreasing order.\nAnswer: 9, 3, -4, -5, -24, -26, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 3, f: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18602293.\nAnswer: 18602293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.85 - 1.13. Let d = -0.02 + j. Sort d, 0.1, 2\/9.\nAnswer: d, 0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**6\/120 - b**5\/60 + 5*b**3\/6 - 5*b**2. Let l be c(0). Suppose -82 = -l*a - 27. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1406 + 1410. Let g be ((-6)\/8)\/(60\/32). Which is the second biggest value? (a) w (b) g (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 2*k**2 - 2*k**2)*(3*k**2 - 225*k + 165*k - 3 + 70*k).\nAnswer: -3*k**4 - 10*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g - 7. Let v be f(4). Suppose v*k - 5*w = 8*k + 11, 5*w - 205 = -5*k. Calculate the highest common factor of 18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 19*f + 2. Let v be g(3). Suppose -3*b - s = -b + 47, -3*s = -2*b - v. Let u = b - -47. What is the smallest common multiple of u and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 575804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*g - 5. Let s(o) = 19*o + 2. Let d(m) = -9*m - 1. Let y(n) = g*s(n) + 7*d(n). Let x be -4*(-2 + (-6)\/(-4)). Calculate y(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-1936)*22)\/(1*1\/(-3))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -360 + 359.81. What is the closest to h in -4, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 29*n + 5. Let x(c) = -14*c - 3. Determine -3*l(k) - 5*x(k).\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(475) + 3)**2.\nAnswer: 50*sqrt(19) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88200\/(-784))\/(((-4)\/3)\/(-1)*(-774)\/688).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 630\/(-4) - (6 - 11\/2). Let o = l - -349. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7491812213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3*d. Let w(h) = -h - 10. Let k be w(-6). Let q = -4 - k. Is d equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 2 = 4*x. Suppose x*f - 2*r - 3*r - 34 = 0, -21 = -2*f + 5*r. Suppose 19*i + 254590 - 254628 = 0. Solve i*j + f = 3 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*r + 0*r**2 + 3*r**2 + 92*r + 97*r.\nAnswer: 3*r**2 + 139*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + (-3*(sqrt(325) - sqrt(325)*-2)*-2 - -3*(-1 + sqrt(325))*-5)*3 + 3).\nAnswer: -90*sqrt(13) - 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 609120 and 3055?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -401, 3, 6 in descending order.\nAnswer: 6, 3, -10, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - (2 + (-3 - -2)). Suppose x = -5*y - 236. Let r = y + 62. Calculate the remainder when 67 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1294*-112.\nAnswer: -14.4928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 34967120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1890 and 191\/2520.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -19*j**2 + 5. Let a(h) = -9*h**2 + 3. Determine -5*a(o) + 3*w(o).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16566 and 66.\nAnswer: 16566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 2*s. Let m be g(0). Suppose 20*f - 24*f + 8 = m. Suppose -3*y = y - 8. What is the smallest common multiple of y and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**4 - 2*b - b**2 + b**4 + 0*b + b**3 as h + f*b**2 + a*b + j*b**4 + s*b**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2251*o - 9223. Give g(-4).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 520452058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 + 1. Let m = -8 - -8.9. Let d = m + -1. Which is the third biggest value? (a) d (b) h (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 496? (a) 4\/7 (b) -304 (c) 3\/7 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 11:42 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 811929 is divided by 1020.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8388 divided by -4.\nAnswer: 2097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 100 = 10*q. Let g = -28 - q. Put g, 1, -5 in descending order.\nAnswer: 1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (14 + -6) - (0 + 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*o = 13. Suppose 5*m + 5*k + 12 = -o, -m - 7 = 2*k. Let n be 8\/(-6)*m\/2. Put 1, 3, n in ascending order.\nAnswer: 1, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y**4 - 364*y**3 - 228*y**2 + 784*y - 176 = 0. Calculate y.\nAnswer: -22, -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*m. Which is smaller: m or 3\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.014 + 5. Round v to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**5\/20 + h**4\/4 - 2*h**3\/3 - 3*h**2\/2 + 37*h + 5. Determine p(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 c when four letters picked without replacement from ejjjeeeejcecceej?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6915.875ml?\nAnswer: 6.915875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 1:48 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3. Let n = -4 - -7. Let t(q) = -2*q + 2*q**3 + 4*q**n - 4*q**3 - 3*q**3. Let s(k) = -4*o(k) + t(k). Find the second derivative of s(d) wrt d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4568053*r**2 - 41320*r + 75?\nAnswer: -9136106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9619918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -9*k - 16 - 9\/2*k**2. List the prime factors of h(-11).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.356 - 0.1.\nAnswer: -0.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14873, 3610, -3.\nAnswer: -3, 3610, 14873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 178*p**4 + 1174*p**4 - 1228*p - 228*p wrt p?\nAnswer: 16224*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8105)\/8510 + (-1 - -2). Let o = 93\/74 + s. Which is smaller: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40.53 - 41. Let z = 0.03 - q. Let k = -3.4 + 3. What is the closest to -1 in k, 0, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 77.\nAnswer: -38.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00030167 to five dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 + -92 + 2 + -1 + (0 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 29913*g + 47172805. Calculate c(-1577).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -4. Let o be (-2 - -2) + (1 - d). What is the third derivative of -4 + 0 + o - v**2 - v**5 wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -14 + 3*w + 2 - 1. Suppose s = 55 - 43. Calculate the remainder when r(s) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 2\/5 (c) 8\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 843402 by 602.\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1365 is divided by 43.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 + 100. Let x = 25 - u. Let w = x + 16. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 1\/6, -1\/52, 4?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (525\/(-60))\/((-2)\/16*-2). Let l = 36 + d. Calculate the remainder when 5 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23393 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 439075 divided by -17563.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41334?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**7\/280 + b**4\/8 + b**3\/2 - b**2. Let h(t) be the first derivative of o(t). What is the derivative of h(d) wrt d?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5748172819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-416)\/9 + (-32)\/(-144). Let k = x + 86. Suppose 5*a = k + 25. What is the remainder when 25 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 5, -2\/5, -13, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*p**2 - 10*p**2 - 71*p**2)*((3*p - 2*p - 2*p)*(-4 + 2 + 0)*(2 + 1 - 2) + 1 + p - 1).\nAnswer: -384*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1369\/39 - -106\/3. What is the closest to -1 in 5, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 8*r + 39. Calculate d(-8).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**4 - 2*g**3 + g + 1. Let m(z) = -506*z**4 + 4*z**3 - 2*z - 345. Let b(o) = 3*m(o) + 6*p(o). What is the first derivative of b(t) wrt t?\nAnswer: -6048*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36*p - 16*p**2 + 36*p)*(-p - 2*p + p) to m + k*p**2 + t*p + x*p**3 and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -773, 4, 2, -4, -3 in descending order.\nAnswer: 4, 2, -3, -4, -773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*o - 3*l + 2*l, 4*l = o + 11. Let r = 1 + -3. Let x = 0 - r. Solve -o*a - 3 - 7 = x*u, -2*a - u - 3 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -85 in 0.05, 2, -0.2, -4, 4168, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1538 is divided by 200?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 11*y**2 - 174*y - 1905. Determine q(-12).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from lllgluu.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-65)\/(-3) + 1\/3. Let v = 36 - k. Let j = 22 + v. Calculate the highest common factor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1905450 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*k - 7, 3*k + 4*b + 0*b - 29 = 0. What is the remainder when 16 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -95*k - 459. Calculate the lowest common multiple of 458 and t(-5).\nAnswer: 3664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 1:41 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1780, 4477, 8966, 15241, 23296?\nAnswer: 33125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 14) to base 6\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**3 + m - m + (-m - m + 0*m)*(2*m**2 - 2*m + 2*m) - 18*m - 16*m**3 + 18*m.\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 84*g**6 - g**3\/3 + 689*g**2\/2 + 1216. What is the third derivative of h(w) wrt w?\nAnswer: 30240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16 (b) -1\/3 (c) -3\/8 (d) -1 (e) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.337 - 0.32. What is q rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -3 (c) 2.8 (d) -1\/8 (e) 16\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7527\/26)\/(6\/8)?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*n + 12392 + 102614, n - 57503 = u. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + j + 2*j**3 + (-2*j**3 + 15 + 2*j**2 - 15)*(-3 + 0 + 1).\nAnswer: 6*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 814 + 0*b**3 - 5*b**3 - 2*b**3 - 3*b**3 - 834 to the form j*b**3 + k + t*b**2 + a*b and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 80, -5, -2 in descending order.\nAnswer: 80, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 11:11 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkddkk. Give prob of sequence ddk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from jaaaaaaadaaha?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, u: 1, l: 3, i: 7}. Give prob of picking 3 j and 1 u.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -28 - (41 + -6 - 3).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 58 = -22. Suppose 5*j - 8 = 32. What is the greatest common factor of j and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 11*o**2 - 10*o - 3. Let f be x(10). Let a be 4\/(-2) + f + -1. Let h(s) = s**2 + 4*s. Calculate the remainder when 21 is divided by h(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from ikkibisbkikkkiibi.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 47.\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 466, 2048, 6296, 14530, 28070, 48236, 76348?\nAnswer: 113726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 7 - (-13 + 17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -9*d**3 + 49*d**2\/2 + 48*d. Differentiate f(g) with respect to g.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p - 2*p - 4*p)*(-p + 0*p - 2*p + (1 - 5 + 2)*(p + 0*p - 3*p) - 3*p + p + 0*p)*(3 + 1 + 1)*(100 + 20 - 4) to the form r + u*p**2 + g*p and give u.\nAnswer: 1160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7931)\/(-91) - 6\/39.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 341.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07861 * -4.\nAnswer: -0.31444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3381*y - 77. Let o(q) = 89*q - 2. What is -77*o(x) + 2*w(x)?\nAnswer: -91*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffiffdfidfffdidf. What is prob of picking 1 d and 1 f?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-5))\/((8\/(-22))\/(90\/(-495))). Which is the nearest to 0? (a) n (b) -111 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 3586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b + 88 = -0*b + 280 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.71071km in nanometers?\nAnswer: 80710710000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9550 and 1550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 394. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 10. Give o(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-20))\/(8\/5)*(-599)\/(-1797).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (6 - 13 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**3\/3 - 5*k**2\/2 + k + 4. Let r be m(-4). What is the tens digit of 310\/25 + (-2)\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2\/3 - 234221*j - 702660 = 0.\nAnswer: -702660, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2326452723?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 2*y + 72 - 49 = 0, 2*y - 8 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9073?\nAnswer: 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/5)*s*(((s\/((s\/(s\/(s\/((s*s**(-2\/19)\/s*s)\/s*s)*s*s)))\/s)*s)\/s*s)\/s)\/s*(s**(-5)*s)\/((s\/s**(-1\/4))\/s*s) assuming s is positive.\nAnswer: s**(-2187\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 - -0.5. Let g = m - 0. Which is smaller: g or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 12*v = -5*q + 10*v + 170, 5*v - 625 = 15*q for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -581, -1140, -1697, -2246, -2781?\nAnswer: -3296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -80, -137, -216, -323, -464?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*g = -28, -4 = -3*v + v - 4*g. Let c be (v\/5)\/(32\/80). Sort 0, c, 21 in increasing order.\nAnswer: 0, c, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 8*y + 335. Let t = y - -35. Solve -2*m = m - 2*x - 1, t = -4*m - 2*x + 20 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 3944 - 35762 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8*d - 12 = 4*d, 0 = -5*v - 4*d + 12. Suppose 0*x + x - 10 = 0. Let t be (-9)\/2 + 5\/x. Put t, v, -5 in descending order.\nAnswer: v, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -13*c**2\/2 - 27*c + 22. Let q(m) = -1. Let g(u) = j(u) - 2*q(u). Is 19 a factor of g(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + (4*-4*sqrt(121) - sqrt(121)))\/(sqrt(77)\/(sqrt(7)*5)).\nAnswer: -80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 10:56 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -135*l**4\/4 + 15891*l**3\/4 + 9250*l**2 + 2399*l + 120 = 0.\nAnswer: -2, -2\/9, -1\/15, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 = 5. Suppose 3*b - 2 = 1, 4*y - 4 = s*b. Solve 2\/3*k**y + 4*k + 6 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7099 is divided by 1074?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1397849360.\nAnswer: 2, 5, 137, 127541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -5*u**5 - 1075*u**4 - 22960*u**3 - 171200*u**2 - 430080*u = 0?\nAnswer: -192, -8, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 695.4 + 1112.6. Which is the second biggest value? (a) -1\/2 (b) -0.3 (c) j (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**5 - 93*w**4 - 359*w**3 - 263*w**2 + 360*w + 356 = 0.\nAnswer: -89, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (22\/11)\/((-3)\/701). Let w = g - -470. Determine f so that -2 - w*f - 2\/3*f**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/60 - 46\/115 - (-544)\/24.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 12:35 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -186*s**2 + s**5 + 8*s**3 + 0*s**3 + 5*s**4 + 190*s**2.\nAnswer: s**2*(s + 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - -1313?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 + 9*m**2 + 65)*(-m - 2*m + 2*m)*(1 + 3 + 0).\nAnswer: -36*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 5, -0.043704?\nAnswer: -0.043704","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.27 - 0.3. Let h = m - -0.037. What is h rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 844 and 314.\nAnswer: 132508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*h = 17*h + 2224 + 3076 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -168*k + 200*k - 256 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*f**4 + f - 9*f**4 + f + (f**3 - 2*f**4 - f**3)*(-6 + 3 - 1).\nAnswer: 9*f**4 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = 0, -4*i + 9 = 2*l - 5. Suppose 0 = 2*q - 10, 2*q + 47 = i*h + 3*q. Calculate the least common multiple of h and 50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66311689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115 - -121. Let d(n) = n**3 - 6*n**2 + 4*n - 8. Let w be d(6). Let b be 4\/18 - w\/(-9). What is the greatest common factor of b and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 8) + (15 - (-6 - -22)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3173471610 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 1 - 2\/3*t**3 - t + 0*t**2 - 1\/6*t**4. Let c(h) be the first derivative of p(h). Let c(y) = 0. Calculate y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*l - 5 - 1\/3*l**2.\nAnswer: -(l + 3)*(l + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439 - 139 = -50*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + ((-4 + sqrt(1900) + 2)**2 - (sqrt(1900) + (sqrt(1900)*5 + 1)**2))).\nAnswer: 300*sqrt(19) + 91200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15165.\nAnswer: 3, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1090861293?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 16 = 5*y + 3*j, 4*y = -2*j + 14. Find the second derivative of k - 10*k**2 + 7*k + 0*k**y wrt k.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + b - 2*w = 26, 3*w = 3*b - 21. Solve 14 = b*m + 5*n, -4*m - 2*n = -2*m - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198\/(-72)*4\/(-33)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*8\/(-12)*5\/(-2). Suppose i*g - 43 = 17. Is ((-5181)\/g)\/(3\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 11 = 3*h, -5*h = -3*g + 3 - 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21828450 and 2170.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79440*v**4 + v**3 + v**2 + 60961*v - 53.\nAnswer: 953280*v**2 + 6*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 78.966 and 19.\nAnswer: 1500.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 908 - 0.12?\nAnswer: 907.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3362066, -3362348, -3362642, -3362954, -3363290?\nAnswer: -3363656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 76221016?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34688\/22 + (-378)\/(-1386)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*g + 315 = -207*g for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d - 81. Calculate q(-20).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 21*f - 24*f + 5*y, 0 = 4*f + 2*y - 22 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 76, 1\/3, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7444.\nAnswer: 2, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*-7*(-10)\/(-70)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/3 - 26*c**3\/3 - c**2 + 80*c\/3 - 52\/3.\nAnswer: (c - 26)*(c - 1)**2*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 6*i + 20 = 2*i, -2*i = -3*o + 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1740 and -77\/21460?\nAnswer: 64380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 13, 42, 83, 136, 201, 278?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -707*-41.\nAnswer: 28987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-8)\/(((p*p*(p*p**(14\/9))\/p*p)\/p*p)\/p))**42)**(8\/3) assuming p is positive.\nAnswer: p**(-11648\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31295, -31293, -31291, -31289, -31287?\n\"Answer: 2*x - 31297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + d + 38 = 4*d, -2*x = 2*d - 92. Suppose 4*u + 20 = -2*p, 4*p + 2*u = -p - x. Let w = p - -18. What is the smallest common multiple of 12 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4355?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**3 - 17*c**2 + 8*c + 1. Let d(z) = z**3 + 8*z**2 - 4*z. Let g(y) = 5*d(y) + 2*t(y). What is the tens digit of g(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h - 48. What is the lowest common multiple of l(-15) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -40*b - 22*b. Sort 0, -26, b, -1, 2 in increasing order.\nAnswer: -26, -1, 0, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123846479.\nAnswer: 17, 103, 70729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 2) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 31 = -0*c - 22 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + g**2 - 8*g - 6. Calculate the smallest common multiple of 8\/(-52) - (360\/(-117))\/(9\/18) and n(-5).\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 48. Suppose 0 = -23*f + a*f + 756. Let l = f + -207. What are the prime factors of l?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*a - 6 = 0, -2*a = 2*i - 6 + 14. Let p be -3 - (i + 4 + -3). Suppose 7*y - 19*y + 9*y = 0. Sort p, -4, y in ascending order.\nAnswer: p, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.59723 months to centuries.\nAnswer: 0.073831025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f*s**3*u + f*s**2*t*u + 21*f*s**2*t + 3*f - 18*s**3*t + 3*s**3 wrt t?\nAnswer: f*s**2*u + 21*f*s**2 - 18*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.2, 2, 9 in decreasing order.\nAnswer: 9, 4, 2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z - 179. Let f(m) = m - 1. Give -2*f(w) + n(w).\nAnswer: w - 177","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 1 + 4. Let d be -1*c - (7 + -13). Suppose 5 = -v + 2. Sort 16, d, v in increasing order.\nAnswer: v, d, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3339*s - 303959. Determine o(-91).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 35*t - 64. Determine k(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -353440 divided by -7520?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -32 + -5 - (-86 - -76).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 + 0*b**2 + 0*b**2 + b**2 - 5*b**3 - b**2 + (-1 + 5 - 2)*(2*b**3 + 2*b**3 - 6*b**3).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215, 214, 213?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 + 1. Let m = -7.5 + 9.5. Let g be ((-6)\/9)\/((-2)\/(-3)). Which is the closest to g? (a) 5 (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a milligram in micrograms?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 8) to base 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56517 or 56445?\nAnswer: 56445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9192057 to the power of 1\/2, to the nearest integer?\nAnswer: 3032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6)*p**(-1\/31))**(-31))**(-3) assuming p is positive.\nAnswer: p**(-561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.64 and 37561902.\nAnswer: 37561902.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3545a (base 11) to base 6\nAnswer: 1032411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 31*y**2 - y + y - 30*y**2 + 4. What is the remainder when f(6) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 948992 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: 3135 (base 9) to base 15\nAnswer: a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 + 27*b + 31. Let l = 8466 + -8452. What is q(l)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**5\/5 + 116*l**4\/5 - 108*l**3 - 324*l**2\/5 + 2376*l\/5 = 0 for l.\nAnswer: -33, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.78 (b) 71 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 200000695 and -54.\nAnswer: 200000641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.011 + 7.589. Let y = -2.6 + o. Let d = 1 - 3\/4. Sort -3, d, y in decreasing order.\nAnswer: y, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 5*a**2 - 6*a - 8. Let d be h(-4). What is the first derivative of 40 + d*w - 85*w - 6 + 32*w wrt w?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 - 1. Let l = 0.3 + o. Let g = -0.2 + 0. What is the second smallest value in g, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73.1 + -57.17. Let b = g + -0.93. What is the third smallest value in b, 5, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**3 - 5*i**3 + 2*i**5 + (-3*i**5 + 2*i**5 - i**5)*(-569 + 1278 - 344).\nAnswer: -728*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.5, 5.6, 2\/13, -2\/9.\nAnswer: -3, -2\/9, 2\/13, 0.5, 5.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w + 14*w**2 + 5*w + 0*w + w**2 as v*w + t + k*w**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010 (base 2) to base 12.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.79088 millennia in months?\nAnswer: 381490.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 - 3*g + 3. Let k(u) = 2*u + 2. Let t be k(-2). Suppose -5*p + 28 = -7. Let w be t\/7 - 19\/p. What is c(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-147)\/(-18) - (-58)\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -274345 by 5.\nAnswer: -54869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 0\/(1 + -3). Let x(v) = -v**2 + v + 6. Let t be x(0). Does 9 divide -4*((-21)\/t - b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*b - 15 = -192*b. Is (-10)\/b*((-19452)\/(-8) - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 5 = 11*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6 = -5*r, 2*r - 3*f - 4 = 1. Solve -17 = -t + 5*n, n = -r - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.2 (c) 5 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1048 and 47946.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1323 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59110 and 2313?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19203 - 62?\nAnswer: -19265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 1\/18*q**4 + 1\/9*q**2 + 0*q - 1 - 4\/27*q**3. Factor o(u).\nAnswer: 2*u*(u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = w - 66 + 238, -5*w - 4*m - 915 = 0. Let a = w + 190. Solve 3*f - f + 3*n - 9 = 0, a*n - 3 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 5, -12 in decreasing order.\nAnswer: 5, -12, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(63\/(-117)) + ((-8)\/(-20))\/((-51)\/9180).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60 * -149.\nAnswer: 8940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85356 (base 11) to base 4.\nAnswer: -132110233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 3*a - 4*a + (2*a - 5*a + a)*(3 - 4 + 3) + 5*a + a - a - 1 + a + 1)*(-2*a - 2 + 2).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9315198 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11403 - -17348. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/14*(-1106)\/1896 + 215\/(-3)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 227096*h**2 + 454186*h - 227092.\nAnswer: 2*(h - 113546)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**2 + 3*h + 9. Determine q(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*t + 13*t + 3*t)*(-t + 2 + 2*t + t)*(-86*t - 94*t + 182*t + 11).\nAnswer: 136*t**3 + 884*t**2 + 748*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2757, -2753, -2749?\nAnswer: -2745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6590.\nAnswer: 2, 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 12*s**2 + 25*s - 9. Let n be p(-9). Let t(c) = 2*c**2 - 7*c + 11. List the prime factors of t(n).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133\/(-532) - (-23)\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138\/469691 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-40 - 1)*-2 - (-8)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1199, 2385, 3581, 4793, 6027, 7289?\nAnswer: 8585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5) - 132\/170. Let g = -175\/68 + k. Let f = 50503\/16 - 3158. What is the common denominator of f and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(13\/2)\/u*((u*u**22)\/u)\/u*u*u**(2\/11)*u*u\/((u**(-1\/10)*u)\/u) assuming u is positive.\nAnswer: u**(1638\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/18)\/((2\/15)\/(2\/(-3))). Let g(b) = -b**2 - 11*b + 7. Let y be g(-11). Suppose -4*n + y*n - 3 = 0. Which is smaller: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3646 is divided by 202.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (7 - (-9 + 3)) - -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) + sqrt(114)\/sqrt(3)*3 - sqrt(38))\/sqrt(2).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59 by 59.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 5*t + 29, -31 = -6*n + 11*n + 4*t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 157290983 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 - 1. Let t be x(1). Let z(a) be the first derivative of 0*a**3 - 3\/2*a**4 + 0*a - 2 + a**t. What is the second derivative of z(o) wrt o?\nAnswer: -36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -415?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 + 0*u**3 - 4*u**3 + 1 in the form x + f*u**3 + d*u + k*u**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*(2 + sqrt(2448) + sqrt(2448) + sqrt(2448) + sqrt(2448)*-2 + -2))**2.\nAnswer: -432*sqrt(17) + 88137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h**3 - 2. Let d(y) = 7*y**3 - 3. Suppose 0 = 44*c - 9 - 167. Give c*d(i) - 6*v(i).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((48\/3)\/4)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3572 + -17836\/5. What is a in 3\/5*a**2 + s*a + 0 = 0?\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -451, -3690, -12487, -29620, -57867, -100006?\nAnswer: -158815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -132167535088+0.017\nAnswer: -132167535087.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -44, -57, -66?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/((-3)\/1)*33\/44?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/2 + (-1 - 7). Sort 0, t, 1 in ascending order.\nAnswer: t, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1615927990565*s + 3*s**2 + 1615927990565*s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -24*m**3 + m**2 - 9*m + 12. Let h(i) = -24*i**3 + i**2 - 7*i + 11. Calculate 4*h(w) - 3*o(w).\nAnswer: -24*w**3 + w**2 - w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert b0 (base 13) to base 16.\nAnswer: 8f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3145959*b + 3376571 wrt b.\nAnswer: -3145959","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 133330?\nAnswer: 133331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/2 or 5?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(704)*-5)**2*-5 - (1 + (-2*sqrt(704))**2*6).\nAnswer: -104897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - -1 - 2) + (-81 - -75) + 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 35 = -23 + 10 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - s**2 - s + 1. Let b(w) = w**2 - 37*w - 2111. Let o be b(-31). Let n(p) = 5*p**3 - 3*p**2 - 3*p. Give o*j(k) + n(k).\nAnswer: 2*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1774, 4, 0 in descending order.\nAnswer: 1774, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 (base 9) in base 5?\nAnswer: 4103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13798 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, a: 1, g: 2, b: 1}. What is prob of sequence bc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccq when three letters picked without replacement from {q: 1, t: 1, c: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 35760 = 11*y - k, 5*y + 2*k - 35745 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**4\/5 - 81498*d**3\/5 + 329456412*d**2 + 107781649640*d = 0.\nAnswer: -322, 0, 40910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (-3 - (-8)\/8). Let r(v) = -4*v**3 + v**2 + 2*v - 2. Is 15 a factor of r(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - sqrt(304)*2 - (-4 + sqrt(19)*2 + sqrt(19)))*-5*5)**2 + (-4 + -2 + (-2*sqrt(19)*5 - (2 + -2*sqrt(19))))**2.\nAnswer: -34872*sqrt(19) + 593155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70131\/11 - 6375. Let 2\/11*z**2 - p - 4\/11*z = 0. Calculate z.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-8))\/((-13855)\/(-544) + -13 + -11)?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 0*h**2 - 3*h**2)*(0*h**3 - h**3 + 3*h**3) + (-h**2 + 5*h**2 + h**2)*(-h - 2*h + 4*h)*(251 - 41*h**2 - 251).\nAnswer: -209*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2. Let g(v) = -8254431*v. What is g(q(d))?\nAnswer: -8254431*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -562.38 to the nearest integer.\nAnswer: -562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -320*k**2 + 10*k - 18. Let s(j) = 320*j**2 - 8*j + 15. Determine 5*s(u) + 4*w(u).\nAnswer: 320*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10184 and -5.\nAnswer: -10189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 649.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 1 - 14. Let s = 8 - -13. Let j = s + -16. Solve 5*l - x*p - j = 0, -17 = -l - 4*l + p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a - 2. Let w(t) = -51*t + 54. Let q(k) = -5*k + 5. Let b(p) = -22*q(p) + 2*w(p). What is 6*b(o) - 5*z(o)?\nAnswer: 8*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - i - 37 = 0, 14 = -5*i - 1. Suppose -v*r + 32*r = -40. Let d = 34 - r. What is the remainder when 36 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3*m - 35, -2*m - 76 = b - 70. Let n = 679\/18 - 374\/9. Is b != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 42?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13382 - 6883. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/2351040 and 181\/2644920.\nAnswer: 21159360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90\/17 - 1621\/136. Let d(o) = 20*o**3 + 9*o**2 + 10*o + 1. Let a be d(10). Let y = a + -252163\/12. Calculate the common denominator of y and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.262072 to one decimal place.\nAnswer: 19.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/3265 - 99917\/6530. Which is the biggest value? (a) -2\/17 (b) k (c) -4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1782\/(-3861) - (-50)\/52?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/3 + 30\/(-45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27068\/(-606))\/(2\/(-51)). What is the greatest common factor of g and 603?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p**3 - 11*p**3 - 12*p**3)*(-173 - 229 + 39 + 1).\nAnswer: 6154*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (14 - -24) + -24?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a decade in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**2. Suppose 0 = g - 0 - 4. Let a(f) = -g*f + 0*f + 4*f + 2*f. Calculate x(a(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 275356909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.5. Let i = 159 + -1435\/9. What is the third smallest value in -0.2, i, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/6862759?\nAnswer: -2\/6862759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 78 + 78)*(2*x + 0*x - 3*x)*(-x - 4*x + 4*x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.41 rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -101?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -773 by -132699.\nAnswer: 773\/132699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t**3 - 7*t**2. What are the prime factors of p(2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, f: 3, j: 7, k: 6}. Give prob of sequence kkv.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = l - 13, 3*l - 2*l + 1 = 0. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000093195 to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -4, -4\/7, -1.1 in decreasing order.\nAnswer: 13, -4\/7, -1.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3335, -13777, -31207, -55625, -87031, -125425, -170807?\n\"Answer: -3494*y**2 + 40*y + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619192917 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*t + 29 + 10. Suppose 5*i - 170 = -5*r, -i - i + 43 = -t*r. Is i greater than 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**4 + 447584*p**3 - 12109*p**2 - 30*p wrt p.\nAnswer: 48*p + 2685504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 4:07 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 1 - (-13)\/(-13). Suppose -a + 5 + 5 = z. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g + 4. Suppose 0 = 5*x + 4*c - 15, -2*x + 34 = -2*c - 2*c. Determine h(x).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -1\/10, -1 in increasing order.\nAnswer: -1, -1\/10, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3220 and 3691730.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**4\/8 + 2*b**3\/3 - 3*b**2\/2 - 2*b. Let t(k) be the first derivative of j(k). Calculate t(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/9)\/i)**18*i**1*((i**(2\/11)\/i)\/i)\/i assuming i is positive.\nAnswer: i**(-262\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4471991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 852 = 7*z - 13*z. Let v = 61 - z. Is v a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30521, -30522, -30523, -30524, -30525, -30526?\nAnswer: -30527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in minutes?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1795)\/(-190) + -7)*-2 + 5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -c + 3*r, c - 5*r - 1 = -3*c. Let v be 7\/1 - c\/2. Suppose -2*k - 54 = -v*k. Calculate the smallest common multiple of k and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446902.\nAnswer: 2, 439, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:55 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-697)\/(-68) + 1\/(-4). Suppose 9*q - l*q = -3. Solve -5 - 6 = 2*m + q*k, 2 = 4*m - 2*k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**6\/195 - v**5\/65 + 2*v**4\/39 + 8*v**3\/39 + 17*v. Find y such that u(y) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 575962815 divided by 191987605.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 147 + 108. Let b be (-2)\/(-5) - 44\/k. Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819657 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22797\/(-476) + 105\/(-980).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 - -71. Suppose -v = u - 4*c, u - 3*c + 14 = -9. Let s = -23\/60 - 6\/5. What is the common denominator of u and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.36, -4, 12?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*(sqrt(19) - (4*sqrt(2736) + sqrt(2736))).\nAnswer: 177*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.97 - -2.97. What is the second biggest value in -3.4, f, 3\/4, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 414 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 - -96. Suppose i + 2*s = 14, d*i + 4*s - 60 = 12. Let f = 13 + -9. What is the least common multiple of i and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 11. Let v(l) = l**3 + 8*l**2 + 8*l. Let d be v(-6). Let r = -7 + d. What is the remainder when r is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 0 + 0)*(-3*i + i - 1 + 0*i).\nAnswer: -8*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -125605768.\nAnswer: -1\/125605768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6916 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4.2 * -4\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 smaller than 1150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + v + 1. Let g(b) = 8*b**2 - 7*b - 7. What is -5*g(t) - 35*j(t)?\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/910 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6216874014 a multiple of 962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**2. Let t(m) = 0 + 13*m**2 + 0. What is j(t(i))?\nAnswer: -845*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10754.0000212948 + 10754. Round g to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1277 + 1291. Solve -3*j = c - 14, 3*c - t = 4*j - 6*j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -699 + 997. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 4\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l - 6. Let w be b(-4). Let d(z) = -75*z - 10. Let g be d(-2). Suppose w*k - g = k. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2676 + -2675.9. Let y = -6.09 + 0.09. Let h = -6.08 - y. Which is the closest to 0? (a) z (b) -0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 7:18 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29\/46 - 3\/23. What is the second biggest value in x, -1, 7\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 6. Let c(f) = 3*f - 11. Let i(z) = 4*c(z) + 7*k(z). Let m(g) be the first derivative of -9*g**2\/2 + 3*g - 5. Give 5*i(r) + 3*m(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 6:26 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (238\/91)\/((-29)\/377)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (3 + sqrt(405) - sqrt(405)) - sqrt(405)) + -2)**2.\nAnswer: 72*sqrt(5) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/5)\/p**(-2))**(-33)*((p**(1\/6)\/p)\/p**(5\/3))\/p**(-7) assuming p is positive.\nAnswer: p**(-681\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 10*k**2 + 8*k - 9. Let m be y(-9). Suppose m = 3*h - h + 16. Let o be (-12)\/78 + h\/(-52). Let g(t) = t**2 - 10. Give g(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3598*y + 46. Give t(0).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -3*l**5\/5 + 17*l**3 + 54*l**2 + 60*l + 5772. Solve n(u) = 0 for u.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 8:43 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 39.01076 micrometers?\nAnswer: 0.03901076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 19162129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 4, i: 7}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-243)\/(-882)*56\/144.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 1\/3*i**3 + 0*i - 1\/180*i**6 + i**2 + 0 - 1\/12*i**4 + 1\/30*i**5. Let f(q) be the first derivative of m(q). Factor f(c).\nAnswer: -2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 0 - 93\/7*g**2 - 3\/7*g**3 - 174\/7*g = 0.\nAnswer: -29, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28\/9? (a) -776 (b) -0.4 (c) 5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 6:26 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/8 - (-9345)\/(-20). Let r = 727 + j. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8098162?\nAnswer: 2, 23, 176047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from sooss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13785*x**2 + 13791*x**2 - 33209*x + 33209*x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11014 - 1894. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/((sqrt(132) + (sqrt(132) - (sqrt(132) - -5*sqrt(132))) - sqrt(132))\/sqrt(12)))**2 + 0.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1687*x**2 - 46*x + 47. What is the thousands digit of l(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107.7 + -106. Let j = a - 1.21. What is j rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*r)*(-3*r**2 + 0*r**2 + 0*r**2) + 0*r**3 + 0*r**3 + 2*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15474, -62101, -140014, -249375, -390346, -563089, -767766, -1004539?\nAnswer: -1273570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/132 and 79\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 979159*p**5 - 5*p**4 - 329233*p**2 + 282 wrt p?\nAnswer: 58749540*p**2 - 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001010 (base 4) to base 12.\nAnswer: -24b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1108621699\/8172 - 135661. What is the common denominator of 59\/12 and s?\nAnswer: 8172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6)\/(-1*(-3)\/(-56))*97755\/13034\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16103701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*b + 55*b + 48 = 0. Suppose -3*c = 5*v - 60, -34 = -v - b*c + 11*c. Calculate the remainder when 15 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 157, -0.8108, -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71780, -69839, -66594, -62039, -56168, -48975, -40454?\nAnswer: -30599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence naa when three letters picked without replacement from nana?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-6))\/4*(-60)\/280?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(320))*6 + sqrt(320) - (-4*sqrt(35)*-2)\/sqrt(7).\nAnswer: 6 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53043 is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.65 - 14.0776?\nAnswer: -17.7276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*d*r*t + 133*d*t - 48031*d + r - 12*t**2 wrt t.\nAnswer: -4*d*r + 133*d - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 262618963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by 132.\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -105344725?\nAnswer: -105344722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 12*x**2 - 22*x - 19. Let p be o(9). What is the highest common divisor of p and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -595*a + 587*a - 40 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*r - 954*u + 953*u, -4*u = 4*r - 5*u - 27 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/(-16)*986\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 551\/4986 + 1\/1662. Put -2, 1075, s in ascending order.\nAnswer: -2, s, 1075","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 1. Suppose 0 = -5*g - 20, -156*l - 2*g = -151*l - 12. Solve 3*z - z - 5*w = 10, l*w = z - i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/((-14)\/(-4)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3282 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: Sort 0.2, 3, 11, -0.6, 0.062, 0.3 in decreasing order.\nAnswer: 11, 3, 0.3, 0.2, 0.062, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7*p**2 + 28*p - 16. Let y(t) = -t**2 + t + 1. Let z(o) = -v(o) + 6*y(o). Let u be z(22). Suppose -s - u = -72. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**3\/9 + 352*h**2\/9 - 151916*h\/9 + 472440 = 0.\nAnswer: -254, 31, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 8:26 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1222100058 divided by 6\nAnswer: -203683343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28568 is divided by 28530?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -9. Put 4, o, -5 in increasing order.\nAnswer: -5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6423652 = 6423697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -93.19 and -457.25.\nAnswer: -550.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.09153461 to two decimal places.\nAnswer: -2.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230026677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 3:43 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ju when two letters picked without replacement from ugmjq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -112.187 and -0.15153037436?\nAnswer: 112.03546962564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1202*33.4\nAnswer: -40146.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 8. Suppose p = u + 4. Find o, given that 2\/7*o**u - 2\/7 + 0*o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 16, 6, -1, -3 in increasing order.\nAnswer: -3, -1, 3, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2272003248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 + -3821?\nAnswer: -3852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**2 + 5*d + 14. Let a be -27*-2*2\/12. Let y = a + 5. Let u(f) = 5 - y + f**2 + f**2 - 3*f. Determine 5*p(g) + 8*u(g).\nAnswer: g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**3 + j**2 - j + 1. Let d be o(1). Let p(f) = 4*f + 3 - d + f**3 + 5*f**3 - f**2. Is p(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 3*a**5\/10 - 99*a**4\/8 + 143*a**3 - 144*a**2 - 768*a + 1002. Find r such that z(r) = 0.\nAnswer: -1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1419 - -0.11861691815.\nAnswer: 1419.11861691815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -3 (c) 2\/9 (d) 0.03 (e) 1\/4 (f) -276 (g) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -652, -59, 0, 5, -5 in descending order.\nAnswer: 5, 0, -5, -59, -652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 16 - 13 - 55*f as o*f + j and give o.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.4, -3\/4, -2\/13, -0.376 in descending order.\nAnswer: -2\/13, -0.376, -0.4, -3\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11529 and 4137.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1011050224 and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.273611 - 0.2718. What is b rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19544 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 8408 = -21364. Do 2 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 10. Let x be ((-9)\/(-4))\/((-6)\/(-32)). Let w(u) = -274*u - 277*u - 276*u + 828*u + 4. What is x*w(z) - 5*p(z)?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36654 is divided by 36605?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7815, 31229, 70239, 124845?\n\"Answer: 7798*v**2 + 20*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + v**2 - v**2 + (0 + 0 - 5*v)*(-v + 0*v + 0*v))*(0*v + v + 0*v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01444 to 4 dps.\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 a, and 1 q when three letters picked without replacement from {o: 1, m: 3, v: 1, a: 3, q: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4030716 is divided by 235.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-282)\/24 - 2)\/((-1)\/4). Suppose l = -c + 60. Solve 0 = c*k - 0*k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 16 - 4 = 0. Suppose -i = 4*m - 1011, -m - s*i = -0*i - 250. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 6:54 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 4547\/12015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3600) - sqrt(3600)*1)\/sqrt(5) + ((-1 + sqrt(5))*5 - (2*sqrt(10))\/sqrt(2)).\nAnswer: -5 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -161\/13 + -3\/26. Calculate the common denominator of 109\/10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 69 = -159. Solve 5*h = 3*i - 16, 4*i = h + 16 - s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/4 - 2)*0. Let u be (-4)\/(-1) + z\/2. Solve -u*v + 3*v + 4 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 10*q**2 + 12*q + 82. What is the remainder when 1204 is divided by t(11)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 207*z - 204*z - 9*p, 3*z + 1 = 5*p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 13*s**3 + 51*s**2 + 8*s + 4. List the prime factors of g(8).\nAnswer: 2, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82622848 by 268256.\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.2 + 0.2. Let t = 4.99999958 + r. What is t rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 1148 = 238. Put -3, -4, n in descending order.\nAnswer: n, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, c: 1, q: 2, e: 4, j: 8, p: 2}. Give prob of picking 1 c, 1 j, and 1 q.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 38*h**2 + 116*h + 1. Let z(x) = -2*x**3 - 102*x**2 + 348*x + 3. Calculate 8*t(g) - 3*z(g).\nAnswer: -2*g**3 + 2*g**2 - 116*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b - 4. Let j(s) = 1. Let h(u) = 4*j(u) + k(u). Suppose -2*v + 10 = 3*v. Let d(o) = -2*o**2 - 2*o + v*o. What is h(d(g))?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112112 (base 3) in base 4?\nAnswer: -101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2225 is divided by 690.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 6*o + 11. Let f be g(4). Suppose -z + f*b = -101 + 16, -4*b = -12. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1336.775 + -2.775. Let j = 2852.23836438 + -1518.23835617. Let o = w - j. Round o to 7 decimal places.\nAnswer: -0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174399922 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 9:03 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - k - 29 = 2*x, -2*x - k + 1 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 375553 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-6))\/((-2)\/(-4)). Let l be 5 + x + -2 - 3. Solve -3*a = -5*r - 16, r + l*a + 9 = -5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 20*d**2 - 37*d - 15. Let v be q(-18). Suppose -y + 0*c = -v*c - 143, 0 = -y + c + 143. What are the prime factors of y?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1472.884 + -11.884. Which is the third smallest value? (a) -5 (b) -0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l + 2*l - l + 3*l as r + a*l and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + j**3 + 147*j**2 - 232*j**2 + 92*j**2 - 10 - 5*j. Give s(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-2 - 3 + 2)*(0 - 2 + 1)*(-5*u + 3*u + 3*u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129 + 129 + 23*m + (2*m - 4 + 4)*(3 - 2 + 0))*(4 + 1 - 4).\nAnswer: 25*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from puuncbncnbcpceb?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 592 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103833 is divided by 193.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9537564467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -6227.\nAnswer: -6226.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4aa812 - 3?\nAnswer: 4aa80d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*y + 19982, 416*y - 410*y = j - 4018. Calculate the smallest common multiple of j and 11.\nAnswer: 43934","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -2*s**3\/3 - 12*s + 13. Differentiate c(y) with respect to y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -g + 4*m + 26, -14 = -3*g + 5*m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 4*t + 4. Let o(n) = -n**2 - 2*n + 11. Let j be o(-5). Let b be x(j). Suppose -z - 24 = -b*z. What is the smallest common multiple of z and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (4 - (-9 + -3) - 11) - (17 - 5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxxnxdxdxxndxxnxnnxd. Give prob of picking 1 d and 3 x.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -711 (b) -4 (c) -33 (d) 150 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351766841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*w + 19, -5*h + 4*w - 152 = 8*w. Suppose 30 = -3*o - 75. Let n = h - o. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/3))**44*l*l\/(l\/(l**5\/l))*l*l*l**(-5)*l*l)\/((l**(-1\/3))**37\/(l\/(l\/(l**(-2\/13)\/l)*l)*l*l\/(l**(-4\/3)*l*l))) assuming l is positive.\nAnswer: l**(583\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, y: 5, k: 7}. Give prob of picking 1 n, 1 k, and 2 y.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k**(-1)*k*k)))**(-3)\/(k**0)**47)\/(k*k**7\/k*k**4*k**(-5)\/k**(5\/2)) assuming k is positive.\nAnswer: k**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 44 + 3*r + 17*r - 90*r - 27*r. Is n(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 4*g**2 - 6*g + 7. Let k be i(5). Suppose -15 = k*n - 3*v, -4*n + 1 + 2 = 5*v. What is the units digit of n\/(-2)*(-12)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 5, u: 1, c: 1, j: 4}. What is prob of sequence mgu?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 507958721, 507958722, 507958723, 507958724, 507958725?\nAnswer: 507958726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -76.\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4114 = -9284. Let c = -2817 - y. Let q = c - 1150. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 + 4*y - 56. Let a be k(7). Suppose -75*f = -a*f - 5. Sort f, 5, 7.\nAnswer: f, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 815*i - 3*i**3 - 815*i + 6*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 238 and 1652?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -203*g + 3158. List the prime factors of c(-66).\nAnswer: 2, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n + 12. Let l be 10*(3 - 0)\/n. Suppose 0 = -l*f + o + 44, -27 = -4*f + 5*o + 4. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 40000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 8. Let g = 139.1 - 135. Let q = g + -6.1. Which is the biggest value? (a) q (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/24 and 1\/((-21)\/103) + 1?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.8 + 0.8. Let x = -29207010 - -29207028.9999952. Let p = x + k. What is p rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - -1 - (-16 + 7 + 3). Solve -5*d - 3*m + 4 = 0, m + w = 3*d - 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 3:22 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -252*r + 198 + 54. Which is the third smallest value? (a) 3 (b) 1\/13 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.4 - 5.4. What is the closest to 2 in p, -5, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -197, -200, -201, -200?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 0.1. Suppose 4*d - 4*l - 120 = 0, 2*d = -4*l + 19 + 11. Suppose 5*i + d = -0*i. Which is the second smallest value? (a) i (b) -2\/11 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*q = 3*x + 9, -4*x = 4*q - 20. Solve 15 = 5*w - x*g, -2*w - 3*g = 17 - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -40, -69, -108, -157, -216, -285?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1609409765?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(84)*-2 + 3*(sqrt(84) - ((sqrt(84)*2 - sqrt(84)) + sqrt(84) - sqrt(84))))\/(((sqrt(336) - -2*sqrt(336))\/sqrt(7))\/sqrt(4))*-5.\nAnswer: -10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {z: 2, m: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 0.069\nAnswer: 0.00276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 972880 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/9 and -49\/81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 f when three letters picked without replacement from {l: 10, a: 2, f: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 5, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*u = 12, -3*z = 2*u - u - 14. Suppose 0 = -5*s - z*k + 10, 0 = 2*s - k - 0*k - 17. Let b = -3 + s. Solve -b*x = 3 - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 15 = 3*r, -2*r = -2*d - 3*d + 24. Suppose d = 2*b + b. Solve b*o - 16 = 6*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, 13\/20, -2\/7, -3, 2, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 17*c**2 - 17*c - 40. Give m(-16).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.237 + -0.063. Let p = 0.7 - s. Let c = 6.5 - p. What is the third smallest value in 4\/5, c, -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 12 = -2*l, -4*l - 9*j + 8*j + 6 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z - 258 = -2*y - 16*z, -2*y + 3*z = -262. Calculate the greatest common factor of y and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*f - 967 = 0, -2*r - 547*f + 370 = -549*f. Solve 17*z + 140 - r = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5141*z**4 - 16993*z wrt z?\nAnswer: 61692*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 45*s**2 + 299*s - 237. What is i(-9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 r when four letters picked without replacement from wrrrrwwrwrwwrwrrrrr.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 15 = 0, -15*q = -10*q + 4*t + 697. Is q >= -136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 172610 + -410560. Round j to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a. Let z(j) = 87*j**2 - 33*j - 10. Let x(q) = -7*q - 2. Let l(k) = 5*x(k) - z(k). What is v(l(r))?\nAnswer: 348*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 957 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*t + 278*t - 18 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4436922*d**3 - 1268140*d**2 - 128*d.\nAnswer: -2*d*(7*d + 2)*(316923*d + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4826)\/(-14478))\/((-181)\/6).\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c = 372 + 506 - 206. Solve -526 = c*k - 484 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/33*((-2)\/5)\/((-164)\/(-1845))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.221 - -0.279. Put d, 3\/2, -2\/3, -0.5 in ascending order.\nAnswer: -2\/3, -0.5, d, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -30 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -y + 8. Let x be ((-1)\/3)\/(y\/(-66)). Is 12 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 369*v + 447. Let z(h) = 23*h + 28. Let r(j) = 2*a(j) - 33*z(j). Let o be -2 + (-4 - (-2 - -1)). List the prime factors of r(o).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**2 + 3*d - 2. Let n be b(-4). Let j(z) = -2*z**3 - 5*z**2 - z - 49. Let s be j(-7). Suppose 3*x + n = s. List the prime factors of x.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62 * -0.1852.\nAnswer: -11.4824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5 + 0 + 213*c**2 - 422*c**2 + 208*c**2 - 19*c. What is x(-18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -3*b + 0*b**3 + 1\/7*b**4 + 0*b**2 + 3\/70*b**5 + 0. Factor w(t).\nAnswer: 6*t**2*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**3\/4 + 867*j**2\/4 + 62205*j\/4 - 63075\/4 = 0.\nAnswer: -145, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 11*a**2 - 10*a + 15. Let s be p(10). Calculate the remainder when (-10)\/s - (-89)\/3 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307931?\nAnswer: 13, 23687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17487 - -34138. What are the prime factors of j?\nAnswer: 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 2, -6 in decreasing order.\nAnswer: 2, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 4 (c) -0.1 (d) -3\/128 (e) -2\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 455\/(-155) + 0. Which is the closest to -0.1? (a) -0.2 (b) -0.8 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a0 + -40a?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 637 and 42287.\nAnswer: 549731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-3 - (-14 - -6)) - (-10 + 13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34525.631 - -34600. Let c = l + -73.8. Round c to two decimal places.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*s - 2283 + 2710 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177a8 (base 11) in base 8?\nAnswer: 553166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*a = 4*a + 270. Let j(d) = -19*d - 50. List the prime factors of j(a).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t = -4. Is -2\/9 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -2\/7, 1104\/71, -3\/7?\nAnswer: 1104\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/5)*m*m**(-2))\/(m**(1\/2)\/m)**(-13) assuming m is positive.\nAnswer: m**(-73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*h)*(13*h - 2 - 10*h - 3) + (-2 + 0 + 3)*(3*h**2 + h**2 - 5*h**2).\nAnswer: 8*h**2 - 15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -85767.99 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 5?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 36 = -5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*v - 12. Suppose -v*o + 3 = -7. Let u = 7 + -4. Solve u*t = o*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u = 5*u + 24 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33 and 18234.\nAnswer: 601722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38931.\nAnswer: 3, 19, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -1 + -3)*3\/(-37119). Let v = k + -1323971\/371190. Find the common denominator of v and 9\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/10 + (-316)\/80*-26. Let u = d + -102. Does 18 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 0. Let p = 6 - x. Calculate the lowest common multiple of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 1703396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 11*s - 3. Let f(c) = c. Let y(r) = -6*f(r) + q(r). What is y(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, n: 4, u: 2, g: 3, h: 1}. What is prob of picking 1 n and 1 h?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 5*r**2 - 3*r + 4. Let h be u(4). Suppose 3*b = -b + h. What is the remainder when b is divided by -3*((-1)\/(-6) + (-300)\/72)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 38. Suppose 10*y = 13*y - u. Suppose 22*g = y*g + 416. Calculate the smallest common multiple of 40 and g.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*m - 3*a = -308*m + 19, -4*m + 2*a = 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 4688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -13. Suppose 0 = -4*k - o. Let b be 1 - 3 - (1 - 4). Do b and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 + 12110?\nAnswer: 12231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-21))\/(-3)*(-2)\/(-6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34332 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**2)\/a**(2\/9) assuming a is positive.\nAnswer: a**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and 110?\nAnswer: -1430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -767*u + 1651*u - 882*u - 77*u**2 to w*u + j*u**2 + b and give j.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**2 - 7456 - 2*m**4 + 12*m + 7456 - 12*m**3 = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = u + 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 50952.77489 to the nearest one thousand.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 4:52 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7333*i + 7330*i + 18 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4972855 is divided by 1013.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 396050 to the power of 1\/2, to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -24 - 11 + 94*k + 33 + 39*k. Let d(a) = -a. Give y(d(p)).\nAnswer: -133*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50029061 to the power of 1\/2, to the nearest integer?\nAnswer: 7073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2474 = 4*w + 2*s, 29*w - 33*w + 2462 = -2*s. List the prime factors of w.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -24, -8, -20, -2, 5.\nAnswer: -24, -20, -8, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7504 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + b - 1. Let p(y) = 16*y**2 - y + 1. Let n(s) = p(s) + 5*r(s). Is n(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -64?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*g - 54 = 0. Calculate the remainder when 41 is divided by (-43)\/(-3) + (-12)\/g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117 + 119. What is the units digit of 28407\/34*1\/(3\/j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 10*x**2 + 10*x + 13. Let q be c(-9). Let r = -9 - -11. Let s = q + r. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -190 (base 12) to base 7.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h**2. Let f(l) = 5931*l + 1. Calculate f(r(b)).\nAnswer: -35586*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/25 (b) -1509 (c) 0 (d) -267\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 629b (base 15) in base 13?\nAnswer: 9647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141359 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -653*g + 3908 - 3*g**3 - 22*g**2 - g**3 + 832*g + 23*g**2 with respect to g.\nAnswer: -12*g**2 + 2*g + 179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5747644361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -197*v**3 - 8*v**2 - 5*v**2 + 2*v**2 + 9*v**2 to the form d*v + y + z*v**3 + h*v**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0.1, -1.14, 0.4, 0.5.\nAnswer: -1.14, 0.1, 0.4, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01109331603 rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**2\/2 - 15*m + 553. Give d(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143 + -143.00613. What is o rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43508 and 20148.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, d: 1, a: 4, s: 1, r: 4}. What is prob of sequence rww?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*i*x**4 - 4*i*x**2 - 12*i - 3*x wrt x?\nAnswer: 312*i*x**2 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 161\/704 + -3\/64. Let x = -0.0467 - -1.0467. Put j, x, 0 in ascending order.\nAnswer: 0, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 - -4.4. Let m = f - 5.97. Let j = 8.715 - 8.315. Which is the biggest value? (a) 4 (b) m (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220103 is divided by 358.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1) + 18 + -20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235975?\nAnswer: 5, 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-2)*62\/18972*51*28\/(-2).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2229339152 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 1006 (c) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/24*6*(-4)\/(-36).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2. Let k(f) = -351560*f + 1128. Let a(r) = 1559*r - 5. Let y(u) = 1128*a(u) + 5*k(u). Determine y(o(n)).\nAnswer: 3008*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3 - 23. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h**3 - 958082450 + 958082450.\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2695 + -2331. List the prime factors of o.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581239?\nAnswer: 581239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7272974 and 4250.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98616 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((5 - 3 - -1) + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 11. Let w = -2 + 2.1. Is a at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r*t + 293*r + 75*t wrt t?\nAnswer: -r + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -286, -556, -824, -1090, -1354?\nAnswer: -1616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*l - 4. Suppose 2*f = -3*o + 7*f - 5, -5*o + l*f = -5. Suppose -6 = -2*g + u + u, 51 = o*g + 4*u. Solve 2*q + q + 4*p + g = 0, 2*q = 2*p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -209210\/6389?\nAnswer: -209210\/6389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 42 + ((11 - 29) + 0 - 1)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -12 - (-3 + (-4 - -8))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -80.1 and -158723?\nAnswer: 158642.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzzemmemzmemzhzemh. What is prob of picking 1 h and 3 z?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101111 - 11000111?\nAnswer: 11101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c. Let p(s) = -4*s**2 + 303*s + 2*s**2 - 301*s + s**2. Calculate x(p(z)).\nAnswer: -5*z**2 + 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3786192, -3786201, -3786210?\nAnswer: -3786219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -1163 - 253. Suppose c - 212 = p + 4*p, -2*c - 4*p = -i. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 672 and 588.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 2805.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -18*d**2 + 631*d - 1252. What is x(2)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + 3*q - 9. Let k be v(-6). Suppose 2*s - k = -5*h, h = -5*s - 2*h + 231. Calculate the highest common divisor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let w(x) = 1916918*x + 2. Determine u(w(d)).\nAnswer: -1916918*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 0*h - 6*h**4 - h**2 + 5\/2*h**5 + 9\/2*h**3 + 0 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**6\/360 - 17*n**5\/120 + 11*n**4\/12 - 9*n. Let k(d) be the third derivative of y(d). Let a be k(8). Is 3\/11 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 8, -0.2, -3.\nAnswer: -7, -3, -0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 3 = 19*p. Let x(s) = s**3 + 5*s**2 + 4*s + 5. Determine x(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12012202201100 (base 3) in base 16?\nAnswer: -2a4722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.320695257 rounded to four decimal places?\nAnswer: 0.3207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*o = 48, -1 = -2*g - g + 4*o. Let m = 62 + -62. What is the closest to 2\/5 in g, -1\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((156\/4)\/(-1))\/((-74)\/74)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22109, -5518, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199005.\nAnswer: 3, 5, 13267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 26*o - c + 124 = 0, -11 = o - 2*c + 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-3)\/(-2))*(-42)\/35.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 216 - 9b244b?\nAnswer: -9b2235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 862502554 to the nearest integer?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10214 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12432633, -24865271, -37297913, -49730559, -62163209, -74595863?\n\"Answer: -2*w**2 - 12432632*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**6\/40 - 11*n**5\/20 + 5*n**4\/8 - 8*n**2. Find the second derivative of p(v) wrt v.\nAnswer: -18*v - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1152*w - 1144*w - 32. Suppose 0 = w*f - 5*g - 3012, -5*f + 0*f = 2*g - 3732. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 7 + 149. Let d(i) = i**2 - 20*i + 32. What is the remainder when l is divided by d(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 47. Let k(i) = 2*i**2 - 45. What is k(c(l))?\nAnswer: 2*l**2 + 188*l + 4373","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001522 to 6 decimal places.\nAnswer: 0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/33*(-143)\/26?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 9:58 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 9:12 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13 - -2)*-1 - 4. Is 9 a factor of 56 - (12\/4 - a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**2 + 2*x**2 + x**2)*(2*x**2 - 3*x**2 + 2*x**2)*(-897 - 902 + 18*x + 1803).\nAnswer: -54*x**5 - 12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 1, 5.\nAnswer: 1, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - r**2 + (-3445*r + 7006*r - 3480*r - 40)*(-4*r + 5*r + r).\nAnswer: 161*r**2 - 80*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*g = 151809, 6089 = -d - 2*g - 69817. Round d to the nearest one thousand.\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s**2 - 23*s + 260. Let j(u) = -12*u**2 - 40*u + 518. Give 4*j(b) - 7*v(b).\nAnswer: -6*b**2 + b + 252","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211720.\nAnswer: 2, 5, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1813*h**2 + h + 3522.\nAnswer: 3626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*o**3*s**2 - 2*o**3 - 2217*o**2*s**3 - 9452*o**2 + 2*o with respect to s.\nAnswer: -34*o**3*s - 6651*o**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -2\/11, -43, 0.3, 3, -1.6 in increasing order.\nAnswer: -43, -1.6, -2\/11, -1\/9, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 328 + -327.91. Let j = -3 - -2. Put j, u, 3 in decreasing order.\nAnswer: 3, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 10) to base 2\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhjhhhhhhhhhhhjhh. Give prob of sequence jh.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 287 - 15 + d**3.\nAnswer: d**3 - 291","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -276057*l*t**2 - 2*l*t - 28*l + 23*t + 6 wrt t.\nAnswer: -552114*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 26\/39*30\/(-45)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 16 + 22. What is the greatest common divisor of x and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1901, -3804, -5707, -7610?\nAnswer: -9513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1011001?\nAnswer: -1010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 284099471 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -19*d - 2*d**3 + 16 - 3*d**2 - d**3 - 17*d**2 + 2*d**3. What is the smallest common multiple of 6 and k(-19)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -168*i + 3688. Let h be p(22). Which is the third smallest value? (a) 0.5 (b) h (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66296 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -20 + 6 + 50*m + 33. What is the tens digit of w(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24126, 48227, 72328, 96429?\nAnswer: 120530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - k - 58 = 0, -67 = -3*o - 5*k - 21. Solve 2*d = -8*t + o*t, 0 = -3*t - 4*d + 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163961507857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 106050.1 centuries?\nAnswer: 10605010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*s + 3*n, -19 = -9*s + 10*s + 4*n. Suppose -4*t = -8, -2*t + 35 = -4*c - 1. Put -1, c, s in increasing order.\nAnswer: c, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m + 44 = 0. What is the remainder when m is divided by (7\/7)\/((-2)\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670600 divided by -28?\nAnswer: -23950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f + 4*q + 5, -4*f + 9 = -3*q. Solve -f*u + 5*u + 2 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 29*l + 54. Let b be q(-2). Let w be (b\/30)\/((-20)\/(-30)). Put 6\/11, w, 4, 1\/7 in decreasing order.\nAnswer: 4, 6\/11, 1\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - -6)*(1 - 4). Let y = 45 + i. Let d = -12 + y. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*w = 2, w = -3*w - 4. Let d = x - -3. Let u be (2 + -2 - 4) + 11. Solve 3*l + d = u*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 969533.\nAnswer: 969533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u + 21. Let b(i) be the second derivative of 11*i**4\/3 + 7465*i. Calculate b(m(n)).\nAnswer: 396*n**2 - 5544*n + 19404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 75\/(-10)*(0 - 2). Suppose -28 = -i + y. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 7*t + 34 - 42 - 49, -2*t + 12 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - (0 - (-4)\/(-4))) + 6. Which is the closest to 1\/2? (a) v (b) -20 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 373 or 363?\nAnswer: 363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.6 - 122.6. Let l = -120 - v. Let f = -10 - -7. Which is the nearest to l? (a) f (b) 1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 1700*x - 1698*x = -12, 0 = 5*u + 11*x + 24 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 734, -50, -2354, -6178?\n\"Answer: -760*y**2 + 1496*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113\/175 - -9\/25. Let t = -0.8 + 0.4. Let u = -93.01 + 93. Put t, r, u in increasing order.\nAnswer: t, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72 or -938\/13?\nAnswer: -938\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhx when three letters picked without replacement from xyhgb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02164203149 to 6 dps.\nAnswer: 0.021642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(8\/4))\/1. Which is greater: -0.3 or z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 539 and 5200027.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 11*n - 12, -2*p - 5*n + 50 = 0. What is the remainder when p is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*n + 4303 = 1405. Solve 0 = 4*v - n + 65 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11685)\/(-39729)*(1*8\/12)\/(25\/(-30))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*k + 100*k - 272 = 0. Solve k*r + 44 = 60 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296.897 meters in micrometers?\nAnswer: 1296897000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 26*k**2 - k - 2. Let a be u(2). Let c = a + -80. Suppose 5*w - q - 30 = -0*w, -2*q = -2*w + c. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 5:53 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20, 0.1, 7459, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxnnnixyiiyxnnyipd. Give prob of sequence pi.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 258176003 + -2?\nAnswer: 258176001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/3)\/1 - -1. Suppose 3*t + 3*h = 6*t - 9, t - 3*h + 1 = g. Suppose t + 2 = a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*l - 3*l - 2 + 2 to the form r + f*l and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3180 = 114*z - 108*z. Suppose 0 = 36*p - 26*p - z. What is the remainder when 125 is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 - 3. Let w be a(0). Let c(n) = -16*n - 43. Let l be c(w). Put l, 7, -4\/5 in descending order.\nAnswer: 7, l, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 2, 0.01, 0, -2, 8.6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 9*y**2 + 10*y - 7. Let r be z(10). Let w = -4 - r. Factor 8*i + w*i**2 + 4*i + 18 - i**2.\nAnswer: 2*(i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 9. Let t be v(-11). Let p = 2 + t. Suppose -3*n = -5*y - 46, -2*n - 3*y + p = 1. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6022, 3, 4, -2, 1, 0 in descending order.\nAnswer: 4, 3, 1, 0, -2, -5, -6022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, y: 9, k: 6}. Give prob of sequence kky.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 52820 and 475376\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 1. Let s(k) = 10*k - 5. Determine -4*r(g) + s(g).\nAnswer: 14*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -80093050561?\nAnswer: -80093050557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - -1 - 3\/(-9)*0. Suppose 8*a + 7 = -1. What is the hundreds digit of a + 273 - 30\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/15 + (-24)\/(-40)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k + 2*k - 3*k + 2 - 2 - k + (k + 5*k - 4*k)*(6 - 3 - 2) + (-3*k + 6*k + 2*k)*(-4 - 1 + 1).\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 4*c**2 + 1. Let q be i(4). Suppose 4*v - 23 = q. What is the common denominator of -36 and (-3)\/1 - (-68)\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.115604 and 0.762?\nAnswer: -0.850090248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (1 - -4)) + 6 - 17?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8718, 4, 394.\nAnswer: -8718, 4, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dnjhnsu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y + 12*y**2 + 1\/8*y**6 - 5\/3*y**3 - 1\/6*y**5 - 35\/24*y**4 + 0. Let i(g) be the first derivative of p(g). Solve i(a) = 0.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-969)\/255 - (-18)\/15)\/(1\/(-5))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -165*f + 175 - 175 to the form m*f + k and give m.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3166322 + 0?\nAnswer: 3166322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115\/6 + 13\/3. Let d = x - 24. Let v = 12 + -10.7. Which is smaller: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 310224 (base 6) to base 7.\nAnswer: 132022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 2*g**2 + 6*g + 1. Let m be x(-4). Suppose 0 = 5*t + m - 84. Solve 5 - t = 5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -790*-5\nAnswer: 3950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 0*x**2 - 2*x**2)*(-6*x + 3*x + x) - 1136*x**3 - 1069*x**3 + 348*x**3.\nAnswer: -1855*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Suppose m = -o - 3*x + x + 265, 4*o - x - 1033 = 0. Suppose 396*a = 385*a + 407. What is the highest common factor of o and a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 16.6542348 hours?\nAnswer: 0.09913235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 7*u - 1284. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2 = -2*x, 0 = -q - 2*x - 0*x - 3. Suppose q*s - 4*s + n = 28, 5*s = 4*n + 104. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a kilogram in grams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 217 and ((-25)\/40*-12 - 7)\/(4\/7688)?\nAnswer: 6727","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884216 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*r - 93 = -22, 37 = u + 2*r. Suppose 4*l + 1 - u = -h, 2*l = -5*h - 4. Let q = -6 + l. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2 + 5*y**2 + 4*y - y - 9*y + 7*y. Let o be j(1). Let l(d) = -2 - d**3 - 21*d**2 + 2 - 3 + 17*d**2 + 2*d**3 - 2*d. What is l(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -5, -3, 7, 6\/5, -2\/7, -2010?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605 = 15*w - 680. Suppose -8*q = -4*q - 88. Calculate the remainder when q is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(48\/(5184\/270))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5395, -25111, -59145, -107497, -170167, -247155?\n\"Answer: -7159*z**2 + 1761*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20834.\nAnswer: 2, 11, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 4*o + 1. Let a be y(3). What is the third derivative of -9*h**a + 12*h**4 - h**2 + 2*h**2 wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 77380247, 77380246, 77380245?\n\"Answer: -m + 77380248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 + -3 - (-12 - (-18)\/9) - -7 - -490. Suppose 57 = 4*y + 3*z - 8*z, 3*y + 1 = -5*z. Calculate the greatest common divisor of a and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 65 = -1. Let t be -2*((-52)\/l + 4). Suppose r - t*h = 5, -3*r + 2 = -r - 2*h. Solve r = 3*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 2. Let n = -80 + 81. Suppose 14 = 5*m - n. What is g(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-4) + (-135)\/12 + (-425)\/(-45)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**3\/2 + v. Let t(m) be the second derivative of -2*m + 0*m**2 + 0*m**3 + 0 - 1\/12*m**4. Give s(t(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 3*q. Suppose 246 = -q*s + 2*g, -113 = s - 0*s + 4*g. Let p = -81 - s. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-30) + (-6 - 2)\/(-64 - -199)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -36. Let t = 85199417.9999957 + -85199402. Let d = c - t. What is d rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 3, 8\/31, 0.015, -6?\nAnswer: 8\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvvdggngdnng. Give prob of sequence dn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 378276194 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164306052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y**2 - 16*y**2 + 12*y**2.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 16*s + 9. Give a(-5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 48 = 4*c, -2*h - 2*h + 16 = 0. Suppose 4*u = -4*b + 8, 2*u + 2*u - 3 = b. Calculate the remainder when (-1)\/(u - 76\/74) is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 135\/(-36)*(-8)\/6. Let a be (u - 35\/6) + 2\/(-3). Let m = 0.04 - -5.96. Sort 0.5, a, m in increasing order.\nAnswer: a, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, 3, 2, 0, 11, 130 in decreasing order.\nAnswer: 130, 11, 3, 2, 0, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + r + 2505 = 5*s, -986 = -2*s - 2*r. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 7*m**2 + 8*m + 4. Let d be q(-8). Suppose -3*r + 18 = d*l, -2*l - 2*r - 28 = -6*l. Suppose 4*n = g + 7 + l, -4*n + 28 = -4*g. Is 1 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o - 1. Let a(m) = -15*m - 5. Let x be 9\/5 - 25\/(-125). Determine x*a(r) - 11*u(r).\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -5*g**3\/6 + 161*g**2\/2 + 74*g - 2. What is the remainder when t(22) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 11 + 11)*(7*c**4 - 2*c**4 + 0*c**4 + (-3 - 2*c + 3)*(-1 - c**3 + 1) - 4*c + 3*c + 25*c**4 - 18*c**4).\nAnswer: -28*c**5 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 + 3 - 15 - 3*z**2 - 1 + z**2 + 1 + (z - 2*z + 0*z)*(4*z - 5*z - z) - 3*z + 3*z - 2*z**2.\nAnswer: -2*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/((u*u**(4\/3)\/u*u)\/u))\/u**(2\/7))**8*(((u\/(u\/((u*u**(-1\/3)*u)\/u)))\/u)\/u**(-1\/6))\/(u**(2\/5)*(u\/u**(-2))\/u) assuming u is positive.\nAnswer: u**(101\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1335)\/(-20))\/((30\/(-4))\/5) and 131\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/8 (b) 10 (c) 332 (d) 0.1 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j - 3. Let d be t(3). Let a be -4 + (18\/d - -2). Solve 0*q - 4*q + l + 12 = 0, -2*l + 24 = a*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -10. Suppose -19*x**3 - 11*x**3 - a + 28*x + 20*x**2 + 14*x**3 = 0. Calculate x.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864833788.\nAnswer: 2, 7, 13, 2375917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 196 - (-1 + -3)\/(6 - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1057254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2465*a**3 + 3341 + 1763 - 2635 wrt a.\nAnswer: -7395*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 624 and 3510.\nAnswer: 28080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7837, 3, -2 in increasing order.\nAnswer: -2, 3, 7837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(320) - (sqrt(320) + -1)) - (5 + sqrt(320)*2)**2) + (-4 + 0 + sqrt(320))*-2.\nAnswer: -1300 - 176*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnn when three letters picked without replacement from {n: 6, d: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 549191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**4 + 16*p**3 + 124 + 42 + 1005 - 40*p**3 with respect to p.\nAnswer: -8*p**3 - 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717146 is divided by 55163.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -11, 31, 5, 3?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 8*l**2 - 9*l + 4. Let d be x(-9). Let z = 6 - -4. List the prime factors of 2\/d + 155\/z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 5. Suppose -2*i - 34 = -0*k - 4*k, 0 = -4*k + w*i + 49. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.23 - 0.2300015. What is u rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.609000349 + -0.609. What is p rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185.61 rounded to the nearest integer?\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -10. Suppose -20*x = -4816 + 4736. Solve 0 = -w - x, q + 2*w - w + 4 = h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**3\/7 - 66*a**2\/7 + 134*a\/7 + 12 = 0?\nAnswer: -1\/2, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 10 + 7)*(s**3 - 2022*s**2 - 90*s + 2022*s**2 + s**4).\nAnswer: 11*s**4 + 11*s**3 - 990*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -17, 2, -56, 4.\nAnswer: -56, -17, -2, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*f - 74*f**2 - 457*f.\nAnswer: -74*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 84, 167, 250, 333, 416, 499?\n\"Answer: 83*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*z = 816. Let m = -71 + z. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**6\/720 + k**4\/4 + k. Let h(c) be the third derivative of y(c). Let n(l) = -l - 2*l - 2*l + 4*l. Calculate h(n(b)).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 30. Put c, -2, -8 in descending order.\nAnswer: -2, c, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 734 and 2.\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -24*o. Let m be ((-3 - -4)*-5 - -4)*-2. Let z(w) = -6*w**m + 4*w**2 + 2*w**2 + w**2 + 6*w**2. Calculate z(x(f)).\nAnswer: 4032*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/5, 1.2, 15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 + -501?\nAnswer: -49b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 3*x**2 + 5*x + 7. Suppose 18 = -2*l - 2*h, -2*l + 5*h + 4 = -6. Let j be (-1)\/l + 26\/(-5). Does 11 divide r(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5)*1000\/(-40).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)*6 - (sqrt(3) - (sqrt(3) - (((sqrt(12)\/sqrt(4))**2 - sqrt(3)) + 5))).\nAnswer: -8 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - 307?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1457 - 1449. Let m(t) = -t**3 + 8*t**2 + 3*t + 18. Determine m(l).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*j - 2. Suppose 55 = j*l - 77. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -751*-0.03.\nAnswer: 22.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 216953 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 0*z + 6. Suppose 0 = -13*p + 12*p. Suppose -5*a - 16 = -q, p*q + q = -2*a + 2. What is the greatest common factor of q and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*k + 76 = -z, 2*k = 4. Let f = -10 - z. Let x = f + -19. Sort -5, x, 5 in ascending order.\nAnswer: -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 79. Let t(i) = -290*i**2. What is h(t(a))?\nAnswer: -290*a**2 - 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -145, 28217.\nAnswer: -145, -12, 28217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 3*r. Let j(a) = -a**2 - 3*a + 7. Suppose 4*n + 3*i + 13 = 0, 0 = -4*n + 2*i - 4*i - 14. Let v be j(n). Let s be b(v). Is -1\/13 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(-34))**(-1\/66)*(w**(-1\/3)\/((w\/(w**(2\/9)*w))\/w))**(-11\/2) assuming w is positive.\nAnswer: w**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvevvggseevvsvesgse. What is prob of picking 2 v?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 3*q**2 - 3*q + (-3*q + 3*q - 2*q**2)*(2 - 3 - 1))*(3 - 9 + 12).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119476, -238736, -357786, -476626, -595256, -713676?\nAnswer: -831886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**4 + 97065*k**3 + 41230065*k**2 + 4386133115*k - 8937963090 = 0.\nAnswer: -18981, -217, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**4\/4 - 2*c**3 - c**2 - 11. Calculate o(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.09 - 0.01. Let t be 3*(-21)\/120 - 6\/(-15). What is the third biggest value in f, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-one halves of a decade?\nAnswer: 3660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 + 26*i + 38. Let s(n) = -2*n**2 - 12*n - 19. Determine -6*k(d) - 13*s(d).\nAnswer: 2*d**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*o = 101*o + 76 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r = -616 + 224. Is r greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 13*a**5\/60 - 5*a**4\/3 - 89*a**3\/3 - a**2 - 124*a. Does 10 divide x(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1757, -1752, -1737, -1706, -1653, -1572, -1457?\n\"Answer: k**3 - k**2 + k - 1758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1876*b**3 + 1822*b wrt b?\nAnswer: 11256*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94 (base 16) to base 7.\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 16*c + 7. Let r be t(5). Suppose -2*s + 54 = -4*x, r = s + 2*s - 4*x. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 - 0.6. Suppose 0 = -3*i - 68 + 83. Let g = 4 - 4.3. Put k, i, g in descending order.\nAnswer: i, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*t - k, 3*k = -t - 0*t - 9. Let d be 1\/t + 8\/(-6). Let u be (-33)\/12 - -4*(-3)\/(-6). Which is the closest to 0.1? (a) -4 (b) d (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 - 0) - -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-66)\/(-9))\/((-1)\/(-3)). Suppose 2*z - c = 2*c - 13, -5*c + f = -3*z. What is the derivative of 0*p + z - 3*p**3 + 0*p + 0*p**3 wrt p?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 3*m = 44, 8*b + 2*m + 41 = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28649, 28660, 28683, 28724, 28789, 28884?\n\"Answer: a**3 + 4*a + 28644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7606*u - u**3 - 7771*u + 0*u**3.\nAnswer: -u**3 - 165*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 11. Let w = 19 - 18. Are i and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 2.342 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*z - 10, -4*s - 5*z - 43 = -12. Sort 5, s, 0 in decreasing order.\nAnswer: 5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-3 - 168)\/((-387)\/(-129)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 74884 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -121 < -702?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(19)*-1 + -2)*-3*4)**2.\nAnswer: -16560 - 2880*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -33431422 (base 6) to base 4\nAnswer: -3313311212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 6) in base 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -126, -142, -176, -234, -322?\nAnswer: -446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 592 or 591?\nAnswer: 592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 5*d**3\/3 - 25*d**2 + 80*d + 249. Suppose m(f) = 0. Calculate f.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3700989*b**3 - 4*b**2 - b - 12676553 wrt b?\nAnswer: -22205934*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i + 11. Let p be v(-10). Let a = p - 87. Let f be 0 + (-3)\/(a\/15). Is 1 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*i = -84, -2*k + k + 21 = 3*i. Let h(v) = 2*v + 94. Let g be h(-21). Suppose 5*l - g = -3*m, 2*l - 4*m - k = 5. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z - 27. Let g be d(17). Find the third derivative of 6*x**4 - 3*x**4 - 16*x**2 - g*x**4 wrt x.\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-14) - 1*(-5 - -1). Let n = -3 - -1. Let t = n + 5. Solve -t*x = -g*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -2. Let n = 24 - j. Solve 5*t + n = -3*l, -4*t = -3*l + l + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119390*u**2 - 1313286*u + 44 = 0. Calculate u.\nAnswer: -11, 2\/59695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 58*o + 49*o - 1 = 0, 4*r + 11 = 3*o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -214, 5 in decreasing order.\nAnswer: 5, -4, -6, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1799873\/4 + -16284683\/36. Let k = -2381 - c. What is the common denominator of k and 10\/21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.47 and -0.6?\nAnswer: 0.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 38*v**2 - 120*v + 230. Let a be q(2). Calculate the highest common factor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -912 = -14*v + 6*v. What is the smallest common multiple of 33 and v?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*q - 7 = 0, 5*q - 17 - 7 = -4*m. Let x be (20 + -19)*(m\/3 + 0). Factor 0*i**2 - 2\/9 + 10\/9*i**4 - 10\/9*i**3 + 5\/9*i - x*i**5.\nAnswer: -(i - 1)**4*(3*i + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 110, 131, 172, 239?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.08 - -48.08. Let l = c - 124. Let y = -80.3 - l. What is y rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552 is divided by 527?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 1\/4 (c) -1 (d) 3 (e) -1915\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 424 and 1590.\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -808 - -805. Let t be ((-6)\/15)\/(11\/(-5)). Which is greater: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1)*y)**5*(y**(-3\/11)*y)\/((((y\/y**(-4\/5))\/y)\/y*y)\/y) assuming y is positive.\nAnswer: y**(876\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + l + 3*l = 12, -2*f = 2*l - 6. Solve 0 = -6*s + 2*s, f = 4*j + s + 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z - 3. Let j(i) = 1226*i**2. Give j(g(x)).\nAnswer: 4904*x**2 - 14712*x + 11034","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/11 - 1360*g\/11 + 72152\/11 = 0 for g.\nAnswer: 58, 622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 7610 - 739 = -1185. Calculate the greatest common divisor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 3*g**2 - 2*g + 3 - 5 + 5. Let a be r(2). Suppose -a*u = -0*u - 57. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8080105 a multiple of 1373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1010100110011 (base 3) to base 7\nAnswer: 5035426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-12))\/((-4)\/(-56)))\/((-367)\/(-2202)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265 + 112 - 12*s + 25*s - 2*s**2 + 3*s**2.\nAnswer: s**2 + 13*s + 377","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 294.639 to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -83 + (-610 - -647)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1363437, 1363337, 1363165, 1362921?\n\"Answer: -36*b**2 + 8*b + 1363465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11782, 2, 3 in descending order.\nAnswer: 3, 2, -11782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -7 - (-1 - (-1 + 1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 1. Let o(y) = y**2 + 7*y - 21. Let w(r) = m(r) + o(r). Let i be w(-8). Is (-4)\/10*(i + 7854\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 5 = 9*d. Suppose d*u + 5*m - 221 + 45 = 0, 0 = u + m - 88. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4)\/k*k**(-2\/9))\/(k\/(k\/(k**1\/k))*(k\/k**(-6\/5))\/k))\/((k**(-2\/3)\/k)**(-4\/31)*k**6*k\/(k*(k*k\/(k*k**6))\/k*k)) assuming k is positive.\nAnswer: k**(-24604\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2. Let j(i) = -196*i**2. Give j(a(v)).\nAnswer: -784*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -9*y. Let o(b) be the third derivative of b**4\/24 - 5*b**2. Give c(o(w)).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 2)*(0*f - 5*f + 3*f) - 5*f + 34 - 34.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773873355?\nAnswer: 3, 5, 51591557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/6189975 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-309)\/(-9))\/(2\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -38260?\nAnswer: -38261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*c = 8*c - 39, 4*i = -c + 29. Suppose -11*m + 51 = i*m. Solve -w - 3 = -2*r - 10, -w + 8 = -m*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43868 + 65613. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -y + 12. Which is the nearest to 0.5? (a) 5 (b) -4\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**3 + 2028*x**2 + 107172*x - 222480 = 0.\nAnswer: -618, -60, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -833 = -6*h + 175. Let a = h + -48. Suppose -6*d + a = -2*d. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2031*k**2 + 2125*k**2 + 2010*k**2 - 6165*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - c = -5*c - 24 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -196, -382, -564, -706, -772, -726?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.11, -17, 2, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(1\/3)*h)\/h)\/h*h\/h**(2\/13))**(-24)*(h\/((h*h\/h**1)\/h)*h*h)**(-5)*h\/((h\/(h**(-3)\/h*h))\/h*h*h)*h**(-2) assuming h is positive.\nAnswer: h**(-329\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 14*z + 86. Let c be p(-8). Find the third derivative of 1283*j**2 - 1161*j**2 + 3 - c*j**6 - 111*j**6 - 3 wrt j.\nAnswer: -17880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 27 - 21*t**2)*(1 - 1 - 1 + (4 - 3 + 0)*(-2 + 2 - 3)).\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(-2)*(-52)\/273. What is the closest to 0.1 in -0.2, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 7. Let l(u) be the first derivative of 1\/2*u**v + 3 + 2*u. Determine l(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21673608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 7*q + 3. Let x be o(6). Let z(n) = n**3 - 8*n**2 - 7*n - 13. Let p be z(x). Let d(k) = -k**2 + 4*k + 6. Give d(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 9*y - 2832. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5214634*l**3 - 6607818*l?\nAnswer: 31287804*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6545 and 2329?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, -80, -259, -514, -845, -1252, -1735?\nAnswer: -2294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26923 and 218.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 352 - 145. Suppose 0 = 11*b - 8*b - n. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2423.8077 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -31*j**3 - j**2 + 2*j - 1. Give g(1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + (-1 - -4) - (30 - (29 - 17)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -242 (base 5) to base 4\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15027.3 - 13693652\nAnswer: -13678624.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1393753 by -139.\nAnswer: 10027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 + 12*v + 4. Give r(12).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135 - -138.284. Let o = -0.016 - m. Let d = -3.299968 - o. What is d rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 8*s**2 - 44*s - 911. Calculate x(-17).\nAnswer: 2149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -659, -1425, -2263, -3173?\n\"Answer: -36*u**2 - 658*u + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from {c: 2, h: 1, k: 1, x: 1, i: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 843828.2 litres in millilitres?\nAnswer: 843828200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 7) to base 9.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 i, and 2 s when four letters picked without replacement from {i: 1, e: 2, t: 3, g: 6, a: 3, s: 4}?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.00922 and -8167.\nAnswer: 75.29974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)\/sqrt(4)*-4)\/sqrt(4)*4)**2*4 - ((sqrt(275) - sqrt(275)*-2)*5 - (-5 + -6*(2*sqrt(11))**2)).\nAnswer: -75*sqrt(11) + 10995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, k: 4}. What is prob of sequence lklk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3)\/d)\/d**17 assuming d is positive.\nAnswer: d**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1484771?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1087, -2189, -3279, -4357?\n\"Answer: 6*f**2 - 1120*f + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 551087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/36 - (-228)\/54 - -26. Solve 12*p = 6 + i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**2 + 3*w + 2. Let c = 11 - 6. Let u be c + -3 + -4 + 4. Let j be v(u). Let t(a) = a + 5. Calculate t(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11452 less than 1.11825?\nAnswer: 11453.11825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2900*l. Let n(q) = 13*q + 10. Give n(v(x)).\nAnswer: -37700*x + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23652 = 287*o + 18*o + 19*o for o.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4002145\/725 + 1\/(-5)?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 4:30 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -701 - -727. Solve 8 = -2*f, 3*f = -3*d - 2*f - l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**5 - 27*z**4 + 24*z**3 + 180*z**2 = 0.\nAnswer: -2, 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -362*(0\/(-8) + (1 - 2)). Suppose -5*r + q + 28 = 0. Suppose 72 = -t - r. What is t rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 809 + -157. Let c = r - -27. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 + 15*u**2 - 9. Suppose g - 9 = -3*k, 2*k = -5*g + 5*k + 9. Let z(l) = 12*l**3 + 5 - 6*l**2 - 13*l**g - 2*l**2. Calculate 6*w(s) + 11*z(s).\nAnswer: s**3 + 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 3*y - o = 2*y - 17, 5361*o - 5360*o - 20 = -8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (648\/(-21))\/4*-7. Suppose -3*q = -5*q + w. Suppose 0 = -2*d + 2*x + 18, 3*d - 5*x = -0*d + 17. Calculate the remainder when q is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 265678*u + 1328340.\nAnswer: 2*(u - 132834)*(u - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 86427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4789.279 kilograms?\nAnswer: 4789279000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98\/5*i**4 - 56\/5*i**3 - 18*i**2 - 8\/5 + 56\/5*i = 0 for i.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b + 39 = -4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-4)*(-8)\/(-6). Let s(m) = -m**3 - 4*m**2 - 6*m + 3. Let y be s(-5). Suppose v*q = q + y. Is q a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Suppose -i*x = -6*x + 16. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) + -2*sqrt(117)*-2) - sqrt(117))\/sqrt(9).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 0 + 0*g**6 + g**2 + 0*g**3 - 1\/30*g**5 + 0*g + 0*g**4 - 1\/70*g**7. What is the third derivative of b(r) wrt r?\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -751 = -29*h + 786. Let t = h - -32. What is the remainder when 255 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/18*(-6)\/(-15)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02038533 rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -298*f - 2472. What is z(-7)?\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -13*h + 16*h, -4*h = -v + 4. Which is the nearest to -0.1? (a) -0.09 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k - 16 = 0, 3*k = 4*b. Let z be (-3 - -2)*1*b. Let v(o) = -733332*o - 4. Let x be v(z). What is x rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*-2*-3)\/(sqrt(300)*-1))\/(sqrt(64)*-3 + sqrt(400)*-6 + sqrt(16)).\nAnswer: 3*sqrt(5)\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f - 45. Let q be z(-12). Let l be (-4)\/(-6) - 12\/(-9). Suppose -5*v = -2*t + 25, l*t = -0*t - 4*v - 2. Sort -1, t, q in descending order.\nAnswer: q, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 102.5675 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 7*j - 228. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 3. Let g(h) = -h - 3. Let l be g(-5). Let u be l\/(-10) + 156\/30. Calculate a(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 11:15 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - 4 - -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9 + 5)*782\/8. Let z = -6645\/17 - u. Is z greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4670191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9765 + 175727\/18. Let z(a) = -33*a - 11. Let u be z(3). Find the common denominator of q and (-8)\/(-2) + 705\/u.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 22. Suppose r*p - 5*p = 12. Suppose -p*b - 100 = -1914. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/21*-1)\/(-2 - (-1638)\/826).\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -513\/8 or -63?\nAnswer: -513\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -1. Suppose y - 6 = v*y, 0 = 3*b + y - 21. Factor 10*l**2 + 0 + 0 - b*l**2 + 2*l.\nAnswer: 2*l*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*d - 894746 = 1280749. What is the thousands digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/8 + (-1)\/4. Suppose -20 = -k + 4*o - s, o + 13 = k. Find t, given that 18*t**2 + 10*t**3 + 4*t + k*t**3 - 8*t**3 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in 2\/35, 2\/7, 0, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 8, -2\/455.\nAnswer: -2\/5, -2\/455, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63*p - 5*p**3 + 4*p**3 + 24*p - 36*p**4 - 4*p**4 wrt p?\nAnswer: -480*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11353 - -0.42057?\nAnswer: -11352.57943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 3*g + q + 47, 3*q - 69 = -5*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4*2\/(-7). Let j = -0.1 - 2. Let r = j - -2. Put r, 2, w in increasing order.\nAnswer: r, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50638 or -750?\nAnswer: -50638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2302610 and 190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 31412232?\nAnswer: -31412212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)*6 + -5.\nAnswer: -5 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x**2 - 4 + 4)*(x - 6*x + 2*x) - 4*x**3 - x**3 + 4*x**3 + (-207*x + 129*x + 140*x)*(0 - x**2 + 0) in the form m + i*x**3 + w*x**2 + p*x and give i.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6354 = -2040*j - 624*j + 339966 for j.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3*5854830\nAnswer: 17564490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 + 80. Let y = -5 - -9. Suppose -5 = -2*d + 3. Solve 0 = 2*l + j*w + 3*w - 10, d*w + 20 = y*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12*(3 + 0)\/6. Solve 3*r + 0*r - p = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642635738 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -17*r**5\/20 - 95*r**3\/6 + 3*r**2 + 6*r. Let c(o) be the first derivative of a(o). Let j(q) = q**2. Give j(c(u)).\nAnswer: 10404*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 10 + 26)*(-2*f + 2*f - f).\nAnswer: -35*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -79695.\nAnswer: 1\/79695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 29*n = 8. Suppose 3*x - n*l = 72 + 17, 121 = 4*x - 5*l. Calculate the greatest common divisor of x and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/5 - 255441*r**2\/5 + 16306010424*r\/5 + 832271066316\/5 = 0. What is r?\nAnswer: -51, 127746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8593 and -9.1.\nAnswer: -7.81963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.93 in 8, 4, 0.34, -3?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f22 - 8c6?\nAnswer: -27e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(100)\/sqrt(5))\/sqrt(10) - -1*(sqrt(20)\/(sqrt(40)\/sqrt(4)) - sqrt(2)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18018 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((2\/(-3))\/(-2)). Solve q*b = 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 161, -4, -11, -1 in descending order.\nAnswer: 161, 27, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -40476074 - 1519727?\nAnswer: -41995801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -81433 (base 15) to base 8\nAnswer: -1437353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3760133107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 + 11*k**3 + 8*k**3 - 4*k**3.\nAnswer: 19*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*w - 4*w. Suppose 19 = w*k + 2*a, a = 5*k - 7 - 6. Suppose -4*p = k - 27. Calculate the least common multiple of 16 and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a hour in seconds?\nAnswer: 38880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3 = -5*r, -4*g + 0*g + 5*r = 69. Let q = g - -8. Let v(n) = -1721 + n + 2*n - 2*n**3 + 1723 + 2*n**2 - n + 3*n**3. Determine v(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.94 and 1156605?\nAnswer: 1156605.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -66. Calculate the remainder when 104 is divided by g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 1356?\nAnswer: 28476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 - 86.9. Let l = 4.5 - d. Which is the smallest value? (a) l (b) -4\/3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1749.5 rounded to the nearest 10?\nAnswer: -1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 61.4313?\nAnswer: 6.14313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 0*v + 2*v)*(v + v + 2*v) + 4*v**2 + 12*v**2 - 6*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -65 - 5?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*b**2 + 19 - 18*b**2 + b - 19.\nAnswer: -41*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.1 + -1.13. Let z = 4.53 + b. What is z rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41898 divided by -2?\nAnswer: 20949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from {z: 2, q: 3, d: 1, o: 3, n: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 66\/(-110) + (-176)\/(-10). Let m = -20.9 - -21.1. Which is the nearest to m? (a) l (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 6:16 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u + 3. Let b(r) = 7*r - 2. Let n(v) = 2*b(v) + 3*f(v). Let x(h) = 5*h. Let c(k) = 10*k + 1. Let g(s) = 6*c(s) - 13*x(s). What is 5*g(y) - 6*n(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide (27\/(54\/20) - -5848) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 6*s - 4. Let p be v(5). Let a be (-3)\/24 - 195\/(-1560). Put -3, p, a, -1 in ascending order.\nAnswer: p, -3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14593 at least as big as -13899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u - 2. Let c be v(-2). Suppose 5*x + 31 = -9. Let t = x - c. What is the least common multiple of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + -2 - sqrt(200)) + (sqrt(4)\/sqrt(2))**2 + 4 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6039 is divided by 609?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 + -72. Suppose -a*g = -80 - 16. Let v(h) = 5 - 4*h**2 + 7*h + 12*h**2 - g*h + h**3 - 9. Calculate v(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 509796 and 9941022?\nAnswer: 19882044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(95) - -2*sqrt(95)*-1)\/(-2*sqrt(5)*2 + sqrt(5)*-2*1).\nAnswer: 7*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3003427 - -17133573. What is d rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*q - 66*q + 1008. Calculate the greatest common factor of q and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -80377744?\nAnswer: 80377743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 468a (base 15) to base 4.\nAnswer: 3222010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y. Calculate q(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1156954 + -3.0877?\nAnswer: -5.2033954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -7. Let f(t) = -2*t**3 - 3*t**2 + 8*t - 13. Let i(w) = -w**3 - w**2 + 4*w - 6. Let a(s) = 6*f(s) - 13*i(s). Is a(m) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117280*v = 117276*v + 12. Put v, -1, 232, -5 in descending order.\nAnswer: 232, v, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 7:18 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-21)\/18 + 2 + 0. Let x(r) be the second derivative of 0 - 15\/2*r**2 - 36*r - h*r**3. Find the first derivative of x(q) wrt q.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 31534 + 31603 - 63137.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.1, -5\/6 in ascending order.\nAnswer: -5\/6, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11, -14, -61, -136, -245, -394, -589?\n\"Answer: -s**3 - 5*s**2 - 3*s + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134629, 269255, 403881, 538507, 673133, 807759?\nAnswer: 942385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -9670*h - 435066. Calculate t(-45).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 8\/45*o**3 - 4\/15*o**2 - 1\/90*o**4 + 7*o - 7\/150*o**5 + 0 - 1\/315*o**7 + 1\/45*o**6. Let q(w) = 0. Calculate w.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -102, -221 in ascending order.\nAnswer: -221, -102, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1, 290, -36 in decreasing order.\nAnswer: 290, -1, -9, -36","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = c - 202. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((((k\/(k\/k**1*k*k)*k)\/k)\/k)\/k)*k)\/(k*k*k**(1\/23)) assuming k is positive.\nAnswer: k**(68\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2248857973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 39. Suppose 68 = -v*n + 180. Is n != 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 38444.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8502 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*p - 40. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.11 - 4.14. Let h = -8 - -7.99. Which is greater: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - 0)*90\/50. Solve -2*q = 2*q - 2*t - 14, -5*t = q - g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -192a763 (base 11) to base 10.\nAnswer: -3264528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2. Let z(a) be the second derivative of 58*a - 11\/6*a**3 + 0 + 0*a**2. Calculate z(u(y)).\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + g. Let q(s) = s**3 - 11*s**2 + 11*s. Let z be 1 + 0 + 2 - 0. Suppose -7 = -k + z. Suppose 6*f = f - k. Determine f*q(p) + 22*d(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/89968 and -65\/101214?\nAnswer: 809712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -7\/4 (c) 5 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**2\/2 + 4. Let m be k(-3). Solve -25 = -m*q + 4*d, -2*q - 2*d = -7*q + 23 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of x**4 + 18268*x**3 - x**2 + x - 32216015.\nAnswer: 4*x**3 + 54804*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2301 = 2*h - 3*w + 2212, 2*w + 51 = -7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 38.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 259 - 46 = -2660. Calculate the remainder when 10472 is divided by q.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(0 - (0 + -2)). Suppose 0 = b*v + v. Suppose 4*r - 3*l + v*l = 368, -3*r - l + 263 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + -1*sqrt(162)*4 - (-2*(sqrt(162) + -1*sqrt(162)) + sqrt(162)))\/(1*sqrt(144) - sqrt(54)\/(-1*sqrt(6))))**2.\nAnswer: 288\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -699, -1393, -2085, -2775?\nAnswer: -3463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 464173 to the power of 1\/2, to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r. Let l(s) = -1488 - 1494 + 2979 - 87*s**2. What is l(n(y))?\nAnswer: -348*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*6\/(-16)*(-120)\/(-90))\/(23\/1794)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 10*x**2 + x + 18. Give o(11).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 3. Let f be (15\/(-10))\/(g\/(-4)). Let t be 260\/(-385) + ((-26)\/(-14) - 2). Which is bigger: f or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 6*m + 6. Let c be b(-8). Suppose 0 = 5*t - c - 118. Suppose t - 4 = 3*h. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 10:36 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-3) - 2\/3. Suppose 3*b = g - 3*g + 36, s*g - 2*b - 46 = 0. Let f be 38\/57 + (2\/(-3))\/1. Solve 0 = -4*h + 4*d, 2*h + 3*h + 2*d + g = f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -50*z + 14. Let s(b) = -10*b + 3. Calculate 14*s(y) - 3*x(y).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 2:50 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186 and 52514?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 0)\/(1 + -2). Suppose 0 = -63*o + 66*o - 9. Suppose -z - 5*u + o = -4*u, -u = 5*z - 11. Solve z*q + 2*q - 2*m = -6, k = 2*q + 3*m - 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191, 121, 43, -43, -137, -239, -349?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(200) - (sqrt(200) - sqrt(200)*1 - sqrt(200)).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5075, 5097, 5119, 5141?\nAnswer: 5163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (11 - 11)) + -35 + 2 - 5.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 2*q - 8. Let m be (q\/4)\/((-5)\/150). Let j(i) = -i**2 + 4*i + 5. Let n be j(5). Solve n = -x - 2*x - m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/15 (b) -3\/11 (c) 18\/89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333, 430, 585, 828, 1189, 1698, 2385?\nAnswer: 3280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 19*w = -8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9*1 + -5 + 1. Suppose 8 = -z*f - 352. Let a = f - -128. Is a a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3852216 and 2232?\nAnswer: 119418696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 958237613.\nAnswer: 958237613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 950354617100 - 0.016\nAnswer: 950354617099.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o - 2*o + 0*o - 5. Let q be d(4). Suppose -q*f - 2*c + 41 = -0*c, 0 = -f - 5*c + 18. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.04143 to 1 decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3\/5, 28, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 0.7. Suppose 4*u - 1 + 13 = 0. What is the third smallest value in -0.3, n, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 - 7*m**2 + 22 - 21 - 4*m**4 - m + 0 + m**4 - m**3 to a*m**2 + d*m**4 + c*m + n + h*m**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 125\/23493 or -1?\nAnswer: 125\/23493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1269261125 to the nearest integer?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*o - 189*o + 2160200 = 0. What are the prime factors of o?\nAnswer: 2, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 5 - (-15 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 101*v + 2. Let x be t(0). What is the closest to 1\/4 in x, 47, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*h + 14388 = 1974, -t + 2*h = -6209. What is the remainder when t is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145.39 - 146. Let o = g - -0.610126. Round o to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1430 (base 7) to base 4\nAnswer: 20300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-3 - (-9)\/3). Let q(m) = -m**2 - 20*m + 384. Let p be q(12). Solve w = -f - 2*a - 0*a + 8, p = 5*a - 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-4)\/(12\/(-1))). Solve k = n*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 17*j**3 - 11*j**2 - 11*j - 6. Let y(d) = 6*d**3 - 4*d**2 - 4*d - 2. Suppose 4*g + 52 = 8. Suppose 24*o - 98*o = -296. What is g*y(u) + o*f(u)?\nAnswer: 2*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 5:26 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -15822*i + 3 - 3 + 15821*i. Let m(o) = 7*o. Give v(m(k)).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5621, 5677, 5761, 5861, 5965?\nAnswer: 6061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2639 - 6506 = -121*p + 120*p. Is p a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -1) + (-1 - 5). Let j(g) = 0*g - 15496 - 3*g + 15494. Let u be j(o). Solve 4*c + u + 3 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**5\/180 - y**4\/12 - 7*y**3\/18 - 14*y**2 - 3*y. Factor n(u).\nAnswer: (u - 7)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v = 0. Let x(w) be the second derivative of 1\/15*w**6 + v*w**5 + 0*w**4 + 0 + 0*w**3 + w - 1\/2*w**2. What is the derivative of x(c) wrt c?\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20787, 44231, 67673, 91113, 114551?\nAnswer: 137987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 7*m**2 + 101*m + 322. What is x(-13)?\nAnswer: 2389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/15*(-454)\/(-69462)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -36*g**2 + 87*g**3 + 160*g - 43*g**3 - 45*g**3 = 0.\nAnswer: -40, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/315 + 299\/2520. What is the common denominator of y and -4 - (5 + 735\/(-54)) - 3?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6343 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 5*c + 1. Determine v(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 6:40 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**3\/5 + 5412*b**2\/5 + 16293*b\/5 - 10842 = 0. What is b?\nAnswer: -5, 2, 1807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6822 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 115210101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674544939?\nAnswer: 3, 53, 4242421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -8*d**3 + 9*d**2. Let b(s) be the third derivative of s**6\/60 - s**5\/30 + 9*s**2. Give 9*b(h) + 2*w(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.6 - 166.4. Let r = -167 - c. Sort r, -1\/5, -1\/2 in ascending order.\nAnswer: -1\/2, -1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12620?\nAnswer: 2, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2046, 4114, 6238, 8448, 10774, 13246, 15894, 18748?\n\"Answer: 5*k**3 - 2*k**2 + 2039*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(252)\/sqrt(108))\/(2*sqrt(768)).\nAnswer: -sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8b - 3?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.5 + 7.7. Let z = 0.2 + -0.4. Let q = x + z. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - 0)*(-6)\/(-8). Let z be (-2 + 1)\/(r\/57). Calculate the greatest common factor of z and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 2\/37, 4, -3?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/q**8*q*q*q**(-1\/8)*(q**(2\/3))**(-42) assuming q is positive.\nAnswer: q**(-257\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 31 + 46 = -2*x, 0 = 5*x + 2*a + 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 340 times 5\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g. Let w be n(-2). Suppose 4*x = w*d - 210, -2*x - 3 + 1 = 0. Let r = d - 73. Solve -4*l + 5*p = 0, -2*l - 5*p = -0*p + r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 + -49. Let z = 7 + -12. Let i = -3 - z. Solve 3*p - d = -i*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-240)\/(2\/(-2))*(-8)\/(-16). Calculate the greatest common factor of 48 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2234 is divided by 2229?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - -1 - (-6 + -2). Suppose 4*n + 11*b - 212399975 = 16*b, 3*n - b = 159299995. Suppose a*u = -u - n. What is u rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*z + 182, x + 40 = -0*x - z. Let s = x + -149. Let r = 324 - s. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41819, 166984, 375585, 667616, 1043071, 1501944?\n\"Answer: -d**3 + 41724*d**2 + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 4:30 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-3\/4))\/(u**(-20)\/u))\/(u\/u**(-2\/37)*u**(-1\/43)) assuming u is positive.\nAnswer: u**(138221\/6364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/((k\/(k*(k*k\/(k\/(k\/(k*k**(2\/11)))))\/k)*k)\/k))\/k)\/k*((k\/k**9)\/k)\/k)**(-2))**1 assuming k is positive.\nAnswer: k**(246\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjd. What is prob of picking 1 d and 1 j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.7447 + 300.\nAnswer: 304.7447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.16 - -1.04. Let n = 0.8 - f. Let o = 10 + -32\/3. What is the third biggest value in -1\/5, o, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -3*i**7\/1400 - i**6\/300 + i**5\/200 - 2*i**3 - 29*i**2. Let l(d) be the first derivative of u(d). Factor l(z).\nAnswer: -3*z*(z + 1)*(3*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -21. Let a(l) = l**2 + 2*l + 271. Is a(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -48*f**4 - 6*f**3 - 56*f. Let i(h) = 3*h**3 - 8*h**3 - 55*h - 6*h**4 - 40*h**4. Let c(n) = 5*b(n) - 6*i(n). Find the second derivative of c(w) wrt w.\nAnswer: 432*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**3 - 3*p**2 - 2*p + 4. Determine y(-3).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2094 or -119335\/57?\nAnswer: -119335\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38789, -31651, -24511, -17369, -10225, -3079, 4069?\n\"Answer: n**2 + 7135*n - 45925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*x + 5*x + 24*x in the form g + h*x and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 144556901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from zktkyiiipkip?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 4*m = y + 23, -5*m - 19 = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/30 - 539\/(-105))\/(-110 - -134)*-2.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 - (1 + -2 + 2 - -1 - (-1628 + 1641))?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*o - 3876, 5*a - 2*o = 4157 + 688. What is the highest common factor of 51 and a?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -410679581*u**2 + 37*u + 2223410 wrt u.\nAnswer: -821359162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.12, 0.5, -2\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1153982, 1153975, 1153966, 1153955?\nAnswer: 1153942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (10 + 60 + -20 - 22) + -18\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22506223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -827, -2410, -5049, -8744?\nAnswer: -13495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**3\/6 - 3*d**2\/2 - 4*d + 2. Let l(v) = -2*v + 4. Let g be l(1). Suppose a + 4 = -2*n + 3*a, -g*n = 3*a + 24. What is x(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2628 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + (-2 - -4))\/(20\/4)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*i - 554 + 1371 = -1965 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 299699807 to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51621 (base 7) to base 10.\nAnswer: -12657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -384*u + 3823. Calculate c(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**3 + 29 + 0*j**3 - 3*j**3.\nAnswer: 5*j**3 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) - sqrt(192)*-1))**2 + sqrt(9)\/(sqrt(3) + sqrt(27) + sqrt(3)) - (sqrt(363) + 3*(1*sqrt(363))**2).\nAnswer: -897 - 54*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2302992853 to the power of 1\/3, to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m - 85 + 216 + 135 = 0 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from {r: 5, i: 2, e: 4, o: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2104202 (base 5) in base 9?\nAnswer: 52817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x. Let a(o) be the second derivative of o**4 - o. Determine i(a(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 44 = 5*v. Solve -4*g + 6 = -v, -5*w - 9 = -g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -14*j**4 + 2*j**2 + 2*j - 1. Let r(f) = -15*f**4 + 3*f**2 + 3*f - 1. Let l(k) = 6*n(k) - 4*r(k). Find the first derivative of l(m) wrt m.\nAnswer: -96*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66438.\nAnswer: 2, 3, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011122 - 211200112?\nAnswer: -210111220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -12a?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 402, 773, 1140, 1503, 1862?\nAnswer: 2217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371244*m - 3*h - 5 = -371242*m, -2*h + 1 = -3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (174 - -6)\/((-3)\/6 - -2). Calculate the greatest common factor of h and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0.07 (c) -0.05 (d) -3\/5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -25 + 7. Suppose -3*r + n*q = -78, -3 = -q - 6. What is the remainder when 45 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.19 (b) -4 (c) -2027 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -154372 divided by -38593?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-1) - -2) + 1349\/(-355)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**4 - 1 + 3*k**4 + 2)*(-3 + 3 + 1).\nAnswer: k**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -52*m**3 - 49*m**2 + 131. What is the second derivative of l(p) wrt p?\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 7, -2790, 13 in descending order.\nAnswer: 13, 7, -57, -2790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -3 - (-7 - -17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**3 + 39*i**2 + 5*i - 252. Let m(u) = -u**3 - 5*u + 1. Let n(k) = -l(k) - m(k). What is the first derivative of n(g) wrt g?\nAnswer: -9*g**2 - 78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c. Let m(g) = -g**2. Let b(n) = -18*n**2. Let w(i) = -b(i) + 12*m(i). What is w(a(t))?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 6766?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60588 divided by 1794.\nAnswer: 10098\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - -1011111101?\nAnswer: 1011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 243443 (base 5) in base 4?\nAnswer: 2100200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -150*c**3 - c - 3. Let m(x) = -301*x**3 - x - 5. Calculate -3*m(g) + 5*v(g).\nAnswer: 153*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -150 + -75b?\nAnswer: -8ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 480\/105 - 4\/7. Solve -3*m + 12 = -3*z - 2*z, w*m = 5*z + 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/(-180) + 2\/8. Let r = -126 - -124. What is the second biggest value in -3\/7, y, r?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -4*a - 16, 3*a + 2*p = 3*p - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 + h**4 - 7*h**4 + (-5*h**3 + h**3 + 2*h**3)*(-3 - 22*h + 3).\nAnswer: 35*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.5, -0.4, -4\/13 in ascending order.\nAnswer: -0.5, -0.4, -4\/13, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from yydutoucc?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/sqrt(3))**2*-2.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 28 - 3)*(4*s**4 - 4*s**4 + s**4) + (-4 + 4*s**3 + 4)*(2*s - 2 + 2).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-728)\/(-117) + 32\/18 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 420*y**2 + y - 537*y**2 + 119*y**2 - 2*y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 9:29 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 108415.99 and 0.1.\nAnswer: 108416.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 759, 676, 541, 348, 91, -236, -639, -1124?\nAnswer: -1697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9027*b**6 - 4*b**5 - 502019*b**2 wrt b.\nAnswer: 1083240*b**3 - 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -3*u**4\/2 - 2. Determine x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 172\/(-258) - 1\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.302 + 91.998. What is m rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 + 3*b**2 - b**2)*((0 + 0 - 2*b)*(3 - 2 - 2) + 3*b + 0 + 0).\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - 2*w**3 + 2*w**2)*(4*w + 0*w - 2*w) - 95097*w**2 + 2018 + w**4 + 95097*w**2.\nAnswer: -3*w**4 + 2018","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 1 - 2*q**2 + 2*q - q**2. Let k be (64\/(-18))\/(-2) + (-2)\/(-9). What is v(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 3) in base 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + 9*k + 7. Let a(g) = -g**2 + 5*g + 4. What is 7*a(c) - 4*n(c)?\nAnswer: c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69.56 - -6.64. Let b = u - 29. What is b rounded to zero dps?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 3. Suppose 2*n + c*k - 9 = 0, 0*k + 2*k + 4 = 2*n. Suppose -n*p - 2 - 1 = -3*f, 2*f = -4*p + 8. Sort -5, f, 1 in descending order.\nAnswer: f, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0 = -5*r - 8, -2*r - 32 = -4*w. Suppose -5*u = 2*l + 2*l + w, -l = -u - 9. Suppose 2*y - l*o - 20 = 0, -2*o - 3 = -o. Solve -5 = -k - y*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26, 69, 110, 149, 186, 221, 254?\n\"Answer: -a**2 + 46*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 53*x + 1020 = -23*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Let a be (0\/(1 - -1))\/r. Suppose a = 4*z - z - 57. Calculate the remainder when z is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 366912 and 136.\nAnswer: 6237504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 6*p**2 + 5*p - 2. Let k be j(-5). Let d(z) be the second derivative of 5*z**4\/12 + z**3\/3 - z**2 - 2*z. Give d(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 119*y - 132. Is t(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 692338781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 92 = -4*t. Suppose -i + 4*z + 0 = 14, 4*i + 4*z - t = 0. What is the third derivative of -4*q + 5*q**i + 4*q - 3*q**2 - 2*q**4 wrt q?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37456149 by -12485383.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23*d**4 - d**2*g - 61*d + 8384*g wrt d?\nAnswer: -92*d**3 - 2*d*g - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.1028797 to two dps.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*2\/4*(-4)\/(-2). Suppose 5*q - 46 = -4*w, -b*w = -6*q + q - 17. Let s be 6\/w*(-2 - -446). What is the highest common divisor of s and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21102111200 (base 3) to base 2\nAnswer: -100011101011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/(-56)*4\/(-7)*(1715\/21)\/7?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -96833568 minus -65?\nAnswer: -96833503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -1414?\nAnswer: -1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21264 rounded to 2 decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 22, -2, -5, 5, -100 in ascending order.\nAnswer: -100, -5, -2, 5, 8, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 81583483 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -8*j**3 + j**2 + 3*j + 6. Let h(q) = q**3 - q - 1. What is -6*h(c) - v(c)?\nAnswer: 2*c**3 - c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 3, -0.07, -4, -0.4 in decreasing order.\nAnswer: 3, -0.07, -1\/7, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + (-7 - 5) - 8) + 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*m - 2059, 0 = -2*o + 4*m - 390 + 1432. Let r(p) = 252 - o + 260 - p**2. Give r(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 9. Let l = y - 21.8. What is the closest to 1 in 2\/11, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d - 2 - 3*d - 2*d**3 + 11*d + 7.\nAnswer: -2*d**3 + 15*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-47)*(j**(-1)\/j*j*j)**(-12\/13)*((j*j\/((j\/(j*j**(-2\/11)\/j))\/j))\/(j\/(j*j**(-3\/4))))**(-1\/11) assuming j is positive.\nAnswer: j**(-47\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -659816.5678145667 + -510.3881840733. Let z = u - -660327. Let v = 0.044 - z. What is v rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(95)*2*5)\/((sqrt(5) - sqrt(45))*6 - sqrt(30)\/sqrt(96)).\nAnswer: -200*sqrt(19)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.3 (b) -5 (c) -0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-7)*90\/8. Let h = -25 - i. Solve 0*a - 5*a - h = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99 + 99.098. Let g = 0.088 - h. Which is the third smallest value? (a) 2 (b) 2\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - -3*20\/15. Suppose -10*f + q = -5*f - 1874, -x*q + 1484 = 4*f. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d - 256 = 0. Let x = d + -52. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664376?\nAnswer: 2, 83047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 48399617*i**3 + 48399819*i**3.\nAnswer: 202*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n + p - 1345, -4*n = -4*p - 1320. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 7. Let m = 15.01 - 15. Let l = 4.01 - m. Which is the biggest value? (a) 0.4 (b) l (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 640807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2*sqrt(1872)*-1)**2*6 - (-2 + (-2 + sqrt(1872) + -5)**2)).\nAnswer: 168*sqrt(13) + 43011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -6*q. Suppose -4*a = -q*a - 24. Suppose -o = 2, 3*w - 5*o - 5 = 32. Solve 2*n + a = 5*u, 4*n - n = 5*u - w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/(66\/(-108)) + (-10)\/(-15)*12. Solve j*o - 29 = 179 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2002)\/(-132) + 8\/((-24)\/45). What is t in 2\/3*t + m*t**2 + 2\/3 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 16\/105?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1216 is divided by 32.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.80204 rounded to 2 decimal places?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5584 - 3946. Suppose 0*p - k = -6*p. What is the highest common divisor of 21 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 107 + 280 = 0. Suppose 124 = 3*c - i. Suppose -d = 4*x - 45, 4*x + 4*d = -d + 49. What is the highest common factor of c and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/25)\/((-100)\/250).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3\/2 + 54*k**2 - 303*k\/2 + 99 = 0 for k.\nAnswer: 1, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 104589092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (69\/(-6) - -3)*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x - 12. Suppose 21 = -h - x*r, -2*r - 6 - 7 = 3*h. Is (-230)\/5*h\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*t**2 + 102*t**2 + 95*t**2 - 4*t**2 to the form l*t**2 + n + c*t and give l.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55523 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*c**5 - 3*c**4*r**2 - 671*c**2*r**2 wrt c?\nAnswer: -1740*c**2 - 72*c*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 3004ec5?\nAnswer: 3004eca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/38983 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 12*t - 5. Let r(k) = k**3 + 6*k**2 + 34*k - 14. Calculate -11*o(j) + 4*r(j).\nAnswer: 4*j**3 + 2*j**2 + 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -57. Let f = 43.2 - p. Let z be -2 + 5 + -2 + -1 + -2. What is the closest to -2 in 0.5, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 1\/3*c**3 + 0*c - 1\/8*c**4 - 1\/12*c**5 + 0 + 1\/120*c**6 - 5*c**2. Determine o(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -1, 6 in descending order.\nAnswer: 6, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155842, -155808, -155746, -155656?\nAnswer: -155538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 27. What is b(-8)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14428 + -5.\nAnswer: 14423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 206580075.\nAnswer: -206580075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 7*n - 38 = 0. Which is smaller: 17 or n?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2830*m**3 + 2*m**2 + 42*m + 10. Let s be k(-5). What is s rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+34608.69930544\nAnswer: 34608.69930544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3521*b + 3519*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 0.3, -4.\nAnswer: -17, -4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.409 - 0.10674265?\nAnswer: -124.51574265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51768551?\nAnswer: 3089, 16759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143538 is divided by 39.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 18959 = 23368. Is 25 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(320) + 1 - sqrt(320)) + sqrt(320) + 2)*6 + (sqrt(320) + 0)*-6 + sqrt(320) + -2)**2.\nAnswer: 240*sqrt(5) + 545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 6 + v)*((-1 - 3 + 2)*(-3*v + 0*v + 5*v) - 1 + 2*v + 1) to the form i + w*v + m*v**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 604935086 a multiple of 1570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (238 + 13*q - 121 - 122)*(2*q**2 + q**2 - 5*q**2).\nAnswer: -26*q**3 + 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -144 - -154. Sort -5, a, 4, -1 in decreasing order.\nAnswer: a, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*o + 3*c, -5*o - c + 83 - 19 = 0. Solve 5*h + 3*v + 6 = 0, h + 5*v = -0 + o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/39*(2 + -2). Suppose 0*u + 6*u - 30 = o. Suppose -4*b - u = 3. Sort 3, 12, b in increasing order.\nAnswer: b, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9*j - 2. Suppose -r - 4*r = -25. Let c = -1 + r. Let s be m(c). Calculate the greatest common factor of s and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 237 or 242?\nAnswer: 237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + z - 10. Let n be f(0). Let u be (n\/(-4))\/((-1)\/(-2)). Find the third derivative of -15*v**u + 3*v**2 + 16*v**5 - 4*v**2 wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f - 17 = 29 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2019566.\nAnswer: 2, 17, 59399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(140))\/sqrt(5)*5.\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -2651435103?\nAnswer: -2651435066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3*n = -30 - 71, -n - 30 = 1117*d - 1114*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2135684 = -0*i - i, -4*i = 4*m - 8542728. Let j = i + -3095681. Round j to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 5*j - 0 - 22, -j = 2. Let m be (8 - 2) + 4 + (x - 11). Suppose m*y - 14 + 2 = 0. Solve -3*l + 4*l + 2*k + 6 = 0, -4*l = 3*k + y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 + 6.4. Suppose 3*k + m + 3 = 0, 2*k = 4*k - 2*m + 2. Which is the second smallest value? (a) k (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 7*t - 1. Let l be h(6). Let q = -487 + 5355\/11. What is the second biggest value in 1\/5, l, q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dydd when four letters picked without replacement from {d: 4, y: 2, b: 9, c: 1}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -405 times 24635?\nAnswer: -9977175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 31171.39671 and -2?\nAnswer: 31173.39671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -89*k**4\/4 + 68*k**3\/3 - 95. What is the third derivative of g(o) wrt o?\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymrmm. Give prob of picking 1 m and 1 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + t + 11 = x, 13 = -x - 5*t. Let n(s) = -8*s - 2. Let h(g) = -17*g - 5. Let y(v) = 6*h(v) - 13*n(v). Let o be y(x). Solve 4*j + j + 15 = o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -12*a**3 - 15*a**2 - 16*a + 1. Give l(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -11*j - 29. Let q be m(-3). Suppose 3*v + 2*k = 4, -3*v + 3*k = -2*k - 11. Find the first derivative of 7 - v*w**4 - 5 + 7*w**q wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2983463437?\nAnswer: 523, 1117, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1925729 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -531 (base 8) to base 5\nAnswer: -2340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 1318.\nAnswer: 7908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10300222312 + -1020?\nAnswer: 10300221232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -40333, -40339, -40347, -40357, -40369, -40383, -40399?\n\"Answer: -h**2 - 3*h - 40329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9.9*7\nAnswer: 69.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73515 and 2767035.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g - 4. Let s be i(-6). Suppose 4*l - 5*a = 13, -2*l - s*a + 4 = l. Let n(p) = -p. Let w be n(-4). Solve 3*k = -w*d + 17, -l*d + 6 = -d - k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4 = -0*f - 5*t, 4*f = -4*t. Calculate the remainder when f is divided by (-8)\/(-10)*15\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -78, -53, -2, 81, 202?\n\"Answer: n**3 + 7*n**2 - 3*n - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -7701 (c) 64 (d) 2 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 58 = -46 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(5*(1 - 2) + (-15620)\/(-3135)). Which is the second smallest value? (a) h (b) -1 (c) 4\/5 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 199661*p**3*q**3 - p**3*q**2 + 3661*p**3*q + 4*p**2*q + 5*p*q**5 wrt q.\nAnswer: 1197966*p**3 + 300*p*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*m**3 - 1 + (m - 3*m + m)*(m**2 - 3*m**2 + m**2) - 2*m**3 - 13*m**3 + 6*m**3 + 2*m**3 + m**2 - m**2.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 2*q**2 - 6*q + 5. What is j(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*2 + sqrt(275) + 1 + -1 + sqrt(275)*2)**2.\nAnswer: 6875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -2.4082.\nAnswer: 14.4492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16989495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21008)\/(-4848) - 56\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**5 + 7*x**2 - 3*x - 7*x**2)*(-3 + 4 + 3).\nAnswer: -8*x**5 - 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16093935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 155 - 97 - -129 - 64?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 7*p**2 + 4*p - 4. Let v be k(-6). Let m be (-1)\/4 - 570\/24. Let j = -22 - m. What is the highest common factor of j and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or -194\/7?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (28666*b**3 - 1 - 28666*b**3 + 9*b**4 + 10*b**2)*(5 - 2 - 1 + (5 - 2 - 2)*(0 - 3 + 4)) as o*b**3 + t*b**4 + g*b + q + a*b**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -12*a + 17*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/21043 or -1?\nAnswer: 6\/21043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 14. Let h be t(-18). Suppose 5*c + h*k = 16475, 0 = -c - 4*k + 1059 + 2220. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32186 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 634.7886454 rounded to 0 dps?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72622, 72600, 72570, 72532?\nAnswer: 72486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttoocccc. What is prob of picking 2 t, 1 c, and 1 o?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 107737148 to the power of 1\/2, to the nearest integer?\nAnswer: 10380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - 2*sqrt(153)) + -1 + 5*sqrt(153)*3 - (sqrt(153) + (sqrt(153) + (sqrt(153) - sqrt(153)*-4))*2 + (sqrt(153) - (4*sqrt(153) + -1))))**2.\nAnswer: -48*sqrt(17) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358929549.\nAnswer: 3, 11, 29, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {s: 3, a: 12, k: 2}.\nAnswer: 99\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -84, -2451, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 187011891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 701024855*f**2*q**2 + 42843*f**2*q + 2731*f - 2 wrt q.\nAnswer: 1402049710*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 2*z + 46. Let u = -45 - z. Suppose 5*j + u = 170. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*g - 416 = 161*g - 330*g for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 11 = -1, -r - k = -647. Suppose -v = -5*m + r, 5*m = 3*v + 2*v + 670. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*v + 77 = -64, 0 = 3*i - v - 173. Calculate the least common multiple of i and 620.\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-6)*594\/12. Let v = -59 + p. Suppose y - v + 18 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 393*j + 169*j + 1641*j + 62*j to c*j + z and give c.\nAnswer: 2265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfpdeeqafepeeff. Give prob of picking 1 p, 1 q, and 1 a.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 47951 (base 10) to base 6\nAnswer: 1005555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 976.\nAnswer: 4880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -333210 plus -23.8920373?\nAnswer: -333233.8920373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 - c - 2. Suppose 0*i + 3*i = -0*i. Let x be a(i). Let s be x + 48 + (0 - 4). What is the greatest common divisor of 42 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a century in years?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-19)\/(171\/(-6))*25\/8550\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -323900 rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 42 - -563?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00097506522 to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t**2 - 3*t**3 - 6*t**2 + t**3 + 3*t**2 in the form s + x*t + q*t**3 + w*t**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f. Let r be b(4). Let w be (-8)\/4 - (1 - 6). Suppose -6 = -3*t + i + 3, -5 = t - w*i. Solve -t*d - 8 = s, 2*s - 4*d + r = 7*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 2:51 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2784 divided by -8?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {y: 4, g: 4, w: 11}.\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2 - 6*z**3 - 17*z**3 + 4*z**3 - 3*z. Let x be v(-2). Suppose -5*y = 2*n - 181, 4*y + 0*y - 4*n = x. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/840 and -31\/2310?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 116.7 != 4332\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*k + 172 = 5*u, 186 = 5*u + 3*k. Suppose -2*r = -4*m, 0 = -7*r + 3*r - 4*m + u. Suppose -r*o - 2 + 6*o**3 - 5\/2*o**2 + 9\/2*o**4 = 0. Calculate o.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(6\/132)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0308 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 529613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 13 + 17 = 0. Sort i, 4, -693 in ascending order.\nAnswer: -693, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5693523359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9782.534 rounded to the nearest 100?\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 4 (b) 19\/28 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + -0.3. Let x = -202 + 202.767. Let l = x + -0.567. Which is the closest to j? (a) l (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 22*q + 2*q + 7 + 20*q. Does 51 divide a(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5154*n - 5153*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**5\/60 - d**3\/6 - 5*d**2. Let v(l) = l**2 + 5*l + 7. Let y be v(-3). Let o(x) = 6*x**2 + 10. Give y*o(j) + 10*t(j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -12*r**2. Let c(k) = 579932*k**2. Give c(j(s)).\nAnswer: 83510208*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/12*((-2)\/(-2) + -2). Is z >= 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q + 29. Let s(b) = b - 2. Determine o(x) + 6*s(x).\nAnswer: 2*x + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 1:08 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2861.7 - -2862. Which is the third biggest value? (a) t (b) -0.1 (c) -31.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -591 and 77.6?\nAnswer: 668.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (126\/(-112))\/((-66)\/176). Put -1, 7, t, 31 in ascending order.\nAnswer: -1, t, 7, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196094.\nAnswer: 2, 98047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 459.0621 rounded to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 10890*f - 1217726. What is n(-113)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 + 11*j**2 - 7*j + 5. Let r be z(-6). Solve -3*q + 5*u + 4 = -10, -u + r = 4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2214 = i + 3174, -3236 = -3*u - i. Calculate the remainder when u is divided by 84.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*j + 4*j + 40, 0 = -2*f - 3*j + 75. Let a = -133 + 153. What is the remainder when f is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*h**2 - 2\/9 + 0*h.\nAnswer: 2*(h - 1)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199406002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - o**2 - o - 1. Let y(g) = 16*g**3 - 24*g**2 - 24*g - 24. Suppose -5*a - 15 = -4*s, -4 = 6*a - 5*a - s. What is a*y(z) - 24*j(z)?\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -19, -17, -15?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660*a = -573*a + 83844 for a.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1295906 divided by -26.\nAnswer: 647953\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -15*u + 16*u - v, -3*u + 187 = 2*v. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - 2 - (-372 + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 9, a: 3}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - 69. Does 25 divide (-3)\/15*-5 - f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.55933um in centimeters?\nAnswer: 0.002655933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/9)\/(4 + -21 + (15 - 4)). Let n = 0 + 0.2. Let z = n - 0.3. What is the closest to 2\/7 in o, z, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 99?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 14387 - 14353 = 4*p, p = g + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 227587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1209)\/(-248) - -9*28\/224) + 0 + -160?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/1)\/(-6))\/(284\/(-1704)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 9*b + 5. Let f be p(6). Let q(r) = -6*r**2 + 137*r + 203. What is the common denominator of (-18)\/(-6) - 3\/f and q(24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 168.8902l to millilitres.\nAnswer: 168890.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14380 = 2*r + 3*n - 14418, n = 4*r + 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 19 = 85. Let w(a) = a**3 + 7*a**2 + 6*a - 7. Give w(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 3\/16*w**4 - 2 + 0*w + 0*w**3 + 3\/20*w**5 + 0*w**2. Factor r(i).\nAnswer: 3*i**3*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 560.39095 and 47.35.\nAnswer: 607.74095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -5.3, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 10 + 12 + 0*c. Let d be m(17). Suppose 0 = 2*t + 2*t. Solve -4*w - 5*v - d = t, 3*v = w + 4*v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 25*r + 87. Give m(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.068323 times -2\nAnswer: -0.136646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1471, -3029, -4615, -6235, -7895?\nAnswer: -9601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120444 (base 5) to base 11.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*1*sqrt(832)*-3*3)**2*-3.\nAnswer: -16376256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1087 divided by -3.\nAnswer: 1087\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*f - 15 = f, f + 5 = 0. Which is the nearest to 1\/2? (a) -0.06 (b) -2\/9 (c) 3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59666 or -59663?\nAnswer: -59666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5850 = -2*d + a, 5*d - 4*a = 14589. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {h: 1, y: 1, k: 9}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 472*u**4 - 72*u**2 - u**3 - 16*u**2 - 473*u**4 to n + c*u**2 + m*u + z*u**3 + v*u**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*b**5 - 150185*b**2 - 458441*b + 11.\nAnswer: 260*b**3 - 300370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2230*d**4 - 3*d + 79.\nAnswer: 26760*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**6\/120 + g**5\/12 + 3*g**4\/8 - g**3\/2 + g**2. Let s(r) = -r**2 + 7*r. Let i be s(6). What is the units digit of t(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15782 - 15773. Calculate the lowest common multiple of 735 and d.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6))\/((-41)\/(2214\/12))*-20.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 5*q - 4. Let u be m(3). Suppose j - 122 = 4*h, 0*j + u*j - 205 = -5*h. Suppose j = -7*r + 12*r. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - -26)*2\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 395390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*o**2 - 1)*(-1 + 1 + 2*o**2) - 10*o**4 + o**4 - o**4 + 3*o**4 + 17*o - 17*o + (-6*o + 0*o + 5*o)*(-o**3 + o - o).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 12*k + 16 - 8 + 10*k as x + y*k and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/3 and 95\/2928?\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.21 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 25.541.\nAnswer: 2.5541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88304 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 253240 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 8 + -10 + (302\/2)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 16049.85543us?\nAnswer: 0.000000026537459375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11276200 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 889 and 1817497.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 318259 (base 11) to base 16.\nAnswer: 7c34c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*o - 73*o + 84 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110791130793.61 - 2.\nAnswer: -110791130795.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -34 - 52 + 86 + 289*k**2 + 115*k**2. Let t(c) = c. Give t(y(f)).\nAnswer: 404*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.85 - -11.26. Let v = -3.71 + z. Let k = -0.5 - 2.5. Which is the second smallest value? (a) k (b) v (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -j + 25561, 0 = -4*j - 3*l + 38021 + 64246. What are the prime factors of j?\nAnswer: 2, 3, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 1, p: 1}. Give prob of sequence pzj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 at least as big as -982492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5\/10 - 7*j**4\/10.\nAnswer: j**4*(j - 7)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 137459 at least 137440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m - 2 + 4*m**2 + 2*m**3 - 1 - m**2 + 0. Let c = -9 + 13. Let u(h) = -2*h - 4*h**2 - 2*h**3 + c - h + 7*h. Determine -4*k(y) - 3*u(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2852 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/6 + 556*s**3\/3 - 7588*s**2 + 315952*s\/3 - 1468040\/3.\nAnswer: -(s - 1070)*(s - 14)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -183*h + 294445. Determine f(1609).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*t + 19 = 0, -3*p - 2*t + 4*t - 57 = 0. Which is the third smallest value? (a) -5 (b) p (c) 1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -629 by 321.\nAnswer: -629\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47788 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a week in minutes?\nAnswer: 47880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -14. Let m = q - -25. Suppose 3*y = -3 - 3. Which is the third smallest value? (a) 5 (b) m (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6 - (-600)\/18. Suppose -24*q + 22*q = -p. Find the second derivative of -4*r + 0*r - 13*r**3 + q*r wrt r.\nAnswer: -78*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2362, 176, 0, 2\/3, 9?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 - t + 7*t**2 - t**2 + 4 + 0*t. Is q(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -0.5. Let g = 0.1 - 1.1. Let j = 0.2 - 0.7. Sort j, p, g in decreasing order.\nAnswer: p, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 428*w - 5170. What is a(-416)?\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000024541 to 7 decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 divided by 3?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 + 686 = -b. Let d be b\/(-9) - (-1)\/(-3). Suppose 5*t - 54 = d. Calculate the smallest common multiple of 12 and t.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4 - (4 - 63\/14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h - 13. Let q be s(3). Suppose q*f - 163 - 489 = 0. Let m = f + -189. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u**3 + 4*u**2 + 7*u - 11. Let j(k) = -12*k**3 + 9*k**2 + 12*k - 21. Let b(n) = 3*j(n) - 5*p(n). Let w be -3 + 184\/18 - (-4)\/(-18). Determine b(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 217 + -3?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36\/(-1)*(-4 + (-30)\/(-9)). Suppose 3*g - 5 = -2*y, 5*y + 4*g - 8*g = 1. Sort y, 5, 0, n in descending order.\nAnswer: n, 5, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -2. Let y(w) = -2*w**3 - 4*w**2 - 3*w - 1. Let q be y(-2). Sort v, q, 4 in increasing order.\nAnswer: v, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r + 1. Let h = -274 - -277. Suppose -3*d + h*c + 9 = -24, -33 = -3*d - 3*c. Calculate the remainder when o(-6) is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 10 = -4*y, -2*y - 5*i + 28 = 5. Let m = 2 - 0. Let s = y - m. Solve t = w + 2, w + 4*t = s*w + 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8460)\/134*6\/(-15). Let v = 96599\/469 - a. Let h = -181 + v. What is the third smallest value in 2\/15, -5\/2, h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1149 and -4\/15?\nAnswer: 5745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5162412 and 0.5?\nAnswer: 2581206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 309 and 1751.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 2 - 2 + (-5 + 3 + 0)*(2*k + 4*k - 10*k).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + i - 3 = 0, 0 = -0*y - 2*y + 4*i + 24. Suppose -4*w = -2*w - 2*x - 2756, -y*w = -5*x - 2750. What is the units digit of w\/50 + (-2)\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from {r: 2, e: 2, n: 2, f: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-35))\/(3\/(-2))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*o - 9277 - 7859 = -4890 for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.074 + -0.174. Let t = -1047 + 15703\/15. Let u be (-6)\/(0 - 45\/(-6)). What is the closest to z in 4, u, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.461245 millennia?\nAnswer: 113534.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -63565140 (base 8) in base 12?\nAnswer: -465b568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 687180214?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15.4714 litres?\nAnswer: 15471.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16080, 32160, 48240, 64320, 80400, 96480?\n\"Answer: 16080*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -321*q**2 - 1. Let t(m) = 4*m**2 + 7*m. Calculate t(p(k)).\nAnswer: 412164*k**4 + 321*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -21\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1300) + ((sqrt(1300) - (-3 + sqrt(1300) - sqrt(1300))) + sqrt(1300) - sqrt(1300)) + 2*(sqrt(1300) - (-1 + sqrt(1300))))**2.\nAnswer: 280*sqrt(13) + 5249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + (1 + sqrt(76) + sqrt(76))**2) - -6*(2*sqrt(209)*-3 + sqrt(209))\/sqrt(11).\nAnswer: -1854 - 78*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 410 = -19*f - 34*f - 33*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3662823 + 2?\nAnswer: -3662821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2356 by -4.\nAnswer: -589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 42355 times 0.2442\nAnswer: 10343.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*c + 3*c - 8*c as i*c + z and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9298 + -9206. What is the remainder when t is divided by 54?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 4*q, 41 = -2*k + q + 35 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3670822*c + 763434 wrt c.\nAnswer: -3670822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9759401 divided by -3?\nAnswer: 9759401\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 2*p - 2. Suppose 0 = -y - 2*y - 24. Let v be 2\/(-8) - 66\/y. Suppose -2 = 3*n - v. Give h(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**4 - 6210*m**3 - 169704*m**2 - 326910*m + 12726693 = 0.\nAnswer: -17, 7, 2097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 76233472 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9585, 3069, -3447, -9963, -16479?\n\"Answer: -6516*q + 16101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1820 divided by -13.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 96308902967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 154743 - 154743.0419772. Let u = r - -0.042. What is u rounded to six decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 4*x + 8, 19 = -2*x + 5*r + 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23930111.\nAnswer: 929, 25759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -49.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/10299 and 64\/74727.\nAnswer: 256537791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3868*h**2 - 8 + 3.\nAnswer: -3868*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 323.993+349.1\nAnswer: 673.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 4. Let f(z) = -2*z + 13. Let i be f(-1). Suppose i*h = h + 42. Let k(u) = -u + 3. Let j(v) = -v + 4. Determine h*j(n) + x*k(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -6353.47386 to the nearest 10.\nAnswer: -6350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -892995, -9, -1.\nAnswer: -892995, -9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 360154 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/25294 and -42\/12647.\nAnswer: 25294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 126037969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 14. Factor 8*x**2 + 12 - 12*x**2 + u*x**3 - 2*x**2 - 10*x**2 + 4*x**4 - 8*x.\nAnswer: 4*(x - 1)**2*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + 33. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184806054.\nAnswer: 2, 3, 59, 174017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 243 - 0?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/9 + 17 + 1. Solve 2*l = -3*d - 3*l, 4*d = -l + f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence woy when three letters picked without replacement from oosssoosyoywyoyy?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14855 * -0.8782.\nAnswer: -13045.661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-6 - 112\/14). Let c = 0 - -4. Suppose 0 = c*z - f, -4*b + 177 + 315 = z. What is the remainder when b is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1293664.18 rounded to the nearest 1000?\nAnswer: -1294000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**3 - o - 1. Let w be b(-1). Suppose 3*g + 3*a = 15, -31 = -4*g - w*a - 10. Is 2\/g + (-98)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5181, -10285, -15513, -20859, -26317, -31881?\nAnswer: -37545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3275 is divided by 1634.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 88*3724\nAnswer: 327712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/39 - 1) + 6048\/728.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360690 is divided by 904.\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 17*q - 2*q)*(5*q - 2*q + 3*q)*(-4 + 15*q + 4).\nAnswer: 1170*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*i - 20966, -26*s + 28*s = -4*i + 10498. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 9. Let n be l(-8). Let a = 17 + -17. Let s = 5 - a. Sort n, -2, s in increasing order.\nAnswer: -2, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258 - 1247508*z**2 - 5*z - 258 + 5*z.\nAnswer: -1247508*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1298 + -495. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 20*c + 23. Let u be a(21). Suppose 713 = 5*r + u*s + 200, r = 4*s + 107. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181087813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*a - 0. Solve a = -4*u + 4*t - 1 + 9, 0 = 2*t - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -45814031 divided by 59?\nAnswer: -776509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 849 = -2*t. Suppose 723 = 4*j - t. Suppose 0 = -0*v + 3*v - j. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 11781*q**2 + 43323687*q + 47072402883.\nAnswer: (q + 1947)*(q + 4917)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40051\/76 - -527. Which is greater: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -1031211213?\nAnswer: -1031211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 7*u - 2. Let y(x) = x. Suppose -3*h + 4*o = -11, -5 = 4*h + 4*o - 1. Calculate h*q(n) + 5*y(n).\nAnswer: -n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4727 = -19*p + 30955. Is 41 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -21*f**3 - 139*f**2 + 130*f - 129. Let s(z) be the first derivative of y(z). Find the first derivative of s(v) wrt v.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2.5. Let v = -3.88 - -4.88. Which is the nearest to v? (a) -1\/3 (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14328 or 14392?\nAnswer: 14328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) 16 (c) -3\/14 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -2) + (2 - 0). Suppose p = -4*n + 3*n + 23. Calculate the greatest common factor of 253 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5516, 12054, 18578, 25082, 31560, 38006, 44414?\nAnswer: 50778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 546.\nAnswer: -218.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2267*x + 73. List the prime factors of g(4).\nAnswer: 3, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4\/5 - 5286*z**3\/5 + 271074*z**2\/5 - 4177858*z\/5 + 16447668\/5 = 0.\nAnswer: 6, 23, 2591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-44)\/8)\/(1 + 4\/(-8)). Is h <= -62\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 40. Let q = -5 - -9. Sort 6, 2, q, u in decreasing order.\nAnswer: 6, q, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13.9231 and 108 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/(-10))\/(6\/(-75)). Suppose -s + y = s. What is the smallest common multiple of s and 74\/12 + ((-69)\/(-18) - 4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(4900) - sqrt(4900))\/(-3*sqrt(63)\/sqrt(9)).\nAnswer: -20*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -3141 and -546 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -18. Let h(x) = -41*x - 195. Let w be h(p). Solve -2*s - 13 = -6*v + 3*v, 5*v - w = s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213845420 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(10) + (sqrt(640) - (sqrt(640) + (sqrt(640) - -2*sqrt(640)))))\/sqrt(2) + (1 + sqrt(405) - (sqrt(605) + -1)))*-3)**2.\nAnswer: -900*sqrt(5) + 28161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, o: 3}. Give prob of picking 2 y and 1 o.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3606 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1261 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 64*c + 43. Let m(o) = 129*o + 88. Let x(w) = -3*m(w) + 7*t(w). Let h be x(-22). Let f = -804 - h. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1393 + -1349. Solve 2*v = -j*q + 47*q, 0 = v - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i**2 - 130*i - 73. Calculate b(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-3)\/27*(-2241)\/166.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 0 + 0*p**2 + 1\/6*p**3 - p. Let b(f) be the first derivative of 19*f**3\/3 + 29105. Determine b(s(q)).\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.4. Suppose -2*l + 5 = -7*l. Let u be l + (1 - 1) + 0. Which is the nearest to u? (a) i (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 0 - 2 + y**3 + 1 as x*y**3 + v + w*y + q*y**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29259?\nAnswer: 3, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34287 and 1039.\nAnswer: 34287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 273318 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(-3))\/(64\/96)*20*7\/(-28).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 31 + 19. Let o = 516 - 520. What is the second smallest value in -2, -0.5, o, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22846 = -502*h - 26928 - 35074 for h.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 768093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 6. Let s be f(-4). Is s > -17\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2104*c**2 - 317*c**2 - 2*c + 559*c**2 + 2*c to x + u*c**2 + j*c and give u.\nAnswer: 2346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489041448?\nAnswer: 2, 3, 7, 17, 171233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -3. Let f be (1 + 0)\/(0 + j). Suppose 2*m - 23 + f = 0. What is the remainder when m is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, e: 3, b: 3}. Give prob of sequence em.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-7)\/(-12))*5\/(-75)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86 - 86 - 25*w**2)*(2*w + 0 + 0 + w + w + 0*w + (w + 0*w + w)*(-1 - 2 + 4) + w + 1 - 1).\nAnswer: -175*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -1\/10*s**5 + s**2 - 1\/105*s**7 + 0*s**3 + 1\/12*s**4 + 1\/20*s**6 + 0*s + 0. Suppose o(q) = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4960308 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h*s**2 + 3*h - 272236*s**2*x**3 - 18876*s*x**3 - 10*x**3 wrt s.\nAnswer: -4*h - 544472*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -0.4. Let s = 0.7 + -2.7. Which is smaller: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5\/9 + 1120*q**4\/9 - 10*q**3\/9 - 5600*q**2\/9 + 8*q\/9 + 4480\/9 = 0.\nAnswer: -560, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 14 + 0*h + 1\/2*h**2. Let o(u) = 48 - 48 - 14*u. Give w(o(r)).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7872697?\nAnswer: 7, 41, 27431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -295 at least -295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**4 + l**3 - 3*l**2 - l + 2 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q - q. Let k be (-2)\/(q - -1) - 524\/(-2). Is 26 a factor of k\/(-15)*(90\/(-4))\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 13273?\nAnswer: -1\/1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 346*c - 345*c + 30*z - 146, -5*z = -25 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195311993*b + 97655999*b + 97656000*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36766399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*x + 87. Let c = -11 + x. Suppose 2*j + o = j + c, 5*j - o - 66 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (360\/8100)\/(-2*(-1)\/(-3)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -282934*u + 141480*u + 27 + 141478*u. Determine l(-4).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 9, -6, -50, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-4.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 669 + -665. Which is the third biggest value? (a) 3\/7 (b) -6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 11:13 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 324 + -323.9. Suppose 0 = -8*f + 13*f - 10, -4*l = -4*f - 12. Sort j, -76, l in decreasing order.\nAnswer: l, j, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 7*x + 11. Let j be (9\/(-6))\/((-12)\/64). Let a be h(j). Suppose -2*t = -p - 12, 0 = 6*t - 5*t + p - a. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 248 + 164 = -4*s, -5*k = -s - 507. What is the second derivative of 60*p - 110*p + k*p - 22*p**4 + 2 wrt p?\nAnswer: -264*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 8. Let s be 40\/(-12)*(-12)\/(-10). Which is the second smallest value? (a) -2 (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/g**(-3\/14)*g)\/g*g**(-10))\/(g**(-7))**(16\/11) assuming g is positive.\nAnswer: g**(369\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 9, -9.48, 1\/6, -0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 111 and 134.\nAnswer: 14874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, 4, 1, 9, 10.\nAnswer: -8, 1, 3, 4, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqqk when four letters picked without replacement from akqakkqqqkq?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, w: 4, q: 5}. What is prob of sequence wv?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 626 and 25365267162?\nAnswer: 25365266536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + 17?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**5 + 18244*g**4 - 54768*g**3 = 0 for g.\nAnswer: -4564, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -15.3. Let u = 5.15 + -3.15. Let d = u - r. Is d >= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -1\/12*z**4 + 0 + 10*z - 4*z**2 + 7\/6*z**3. Calculate s(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12015 (base 9) to base 13\nAnswer: -386c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2. Let k(t) = 944*t**2 - 3. What is k(x(n))?\nAnswer: 944*n**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c + 4*c + 3*c + 10*c**2 - 11. Suppose -q = -2*l + 4, 5*q = 3*l - 0*l + 1. Let x(j) = 3*j**2 + 1 - 4*j**2 + 0*j**2. Give q*w(f) + 22*x(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3314, 3305, 3296, 3287?\nAnswer: 3278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**4 - n**4 + 3*n**4 + (-14*n**3 - 13*n**3 - 15*n**3)*(2*n + 2*n - n) + n**4 + n**2 - n**2 in the form x*n + m + b*n**4 + f*n**3 + l*n**2 and give b.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o. Let j(w) = 145*w**2 - 165*w + 55. Let l(r) = -16*r**2 + 18*r - 6. Let z(p) = -6*j(p) - 55*l(p). Give u(z(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4337 + -1744. What are the prime factors of n?\nAnswer: 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 5*s**5 - 1217 + 1217 + 5*s**2 - 5*s**4 - 5*s**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3400656713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.28*-7.\nAnswer: -1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, y: 7}. What is prob of sequence yff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 902.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 1)*(57*b - 37*b - 29*b)*((4 + 0 + 0)*(0 - 1 + 0) + 1 - 1 - 2) to the form w*b + g and give w.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25752037 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -37893 * 17679\nAnswer: -669910347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*p**3 + 17*p**5 - 11*p**3 + 11*p**3 + 13*p**2 wrt p?\nAnswer: 1020*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(3\/(-2)) - 1. Let x(p) = -2*p**2 + 5*p + 6. Let r be x(-2). Let j = r - -14. Solve j*h + n = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 13 = 5*i. Suppose -5*a - 2*q + 114 = i, a - 26 = 4*q. What is the remainder when a is divided by (-12 + 2)*12\/(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2111.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 50913*v + 407321. Determine u(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**6)\/y)\/y**(-1\/2))\/(y*y*y\/(y**(1\/2)\/y)*y)**(-6\/19))\/(((y*y*y*y**(-1)*y*y)\/y)**32)**(-15) assuming y is positive.\nAnswer: y**(55021\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25\/10*-4 - -11. Calculate the highest common divisor of z and 193.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 7 = 15. Factor -1\/2*x + 1\/4 - 3\/4*x**q.\nAnswer: -(x + 1)*(3*x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 - (-3 - -4)) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.063 - -0.363. Suppose -8 = 4*l + 3*g + 2, 3*l + 6 = -3*g. Which is the closest to 1? (a) 3 (b) l (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 13*r**2 - 13*r - 24. Let w be n(-14). Let a = w - -94. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, y: 5, p: 3, i: 1, n: 1, c: 4}. What is prob of sequence cey?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 19*s**2 - 19*s + 7. Let c = 17763 - 17783. Give k(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/27, 0.489, -3 in descending order.\nAnswer: 0.489, -1\/27, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**2 - 6*x**2 - 232*x + 230*x + 3*x**3 to u*x**3 + n + m*x + i*x**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**3 - 2*f**2 + 9*f + 6. Let t(g) = 5*g**3 - 2*g**2 + 10*g + 7. Let y(l) = -6*d(l) + 5*t(l). Calculate the least common multiple of y(-3) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5522, -5872, -6232, -6608, -7006, -7432?\nAnswer: -7892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5938 is divided by 128?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -217 + 2171\/10. Which is the closest to w? (a) -1 (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**7\/2520 + r**6\/72 + r**5\/40 - 55*r**4\/12 - 18*r + 3. Let f(b) be the third derivative of g(b). What is f(-7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + ((sqrt(125) + -1 - sqrt(5)) + sqrt(5))**2.\nAnswer: -10*sqrt(5) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1036466*p - 518264*p - 518271*p.\nAnswer: -69*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + -14 - 7 - (1 + -1)) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 13*g**2. Let s(x) = -81*x**2 - 41. Calculate s(n(a)).\nAnswer: -13689*a**4 - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-7*r + 43*r + 50*r)*(-4 - 2 + 4).\nAnswer: -172*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*l**5 + 56*l**4 - 7*l**3 + 28*l - 23*l**3 - 99*l**2 + 3*l**2 - 27*l**3 + 40 + 17*l**3 = 0. What is l?\nAnswer: -5, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76304333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 299, 599, 899, 1199, 1499, 1799?\n\"Answer: 300*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -25 * 0.023\nAnswer: -0.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 10)*(1 + 2 + 2)*(2*m + 0*m + 3*m + m + 2*m - 4*m + (31*m + 27*m - 72*m)*(-6 + 4 + 1)) to r + w*m and give w.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 29. Calculate y(-23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -358, -53\/2, -0.1 in descending order.\nAnswer: -0.1, -3, -53\/2, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2742*g - 11004. Calculate n(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-378)\/(-72) + (-7)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/9*j**5 - 14\/9*j**2 + 2*j**3 + 4\/9*j - 10\/9*j**4 + 0 = 0 for j.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -95, 22716*r - 67 = -2*y + 22719*r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*x + 108*x + 21 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/8 (b) -12.65 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**4\/24 - s**3\/6 + 9*s**2. Let w be r(-6). Sort w, -1\/5, -4 in increasing order.\nAnswer: -4, -1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -27. Suppose 295 = x*h - b, -7 + 2 = b. What is the greatest common factor of h and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5555 is divided by 5194.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203627*v - 203634*v + 407262*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -767831262 divided by 4?\nAnswer: -383915631\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -227929 (base 11) to base 12.\nAnswer: -155479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.6 + 0.686. Let k = u + -0.086. Let z be 2\/(-8) + 2 + -2. Which is the smallest value? (a) z (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1302 and 12834.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 10 + 6 = 0. Let x be w\/(-5) - (-12)\/(-10). Let a(k) = -k**2 + 2*k - 2. Let l be a(2). Put 4, x, l in decreasing order.\nAnswer: 4, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81717 + 81716.7. Let a = -3.6 + 19.6. Put a, 1\/7, -3\/4, q in descending order.\nAnswer: a, 1\/7, q, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u + 0*u - 2)*(-2*u + 10*u + 3*u).\nAnswer: 33*u**2 - 22*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4299354 = -110*g - 663854. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(13))*-4 + (sqrt(13) - (sqrt(13) + sqrt(13)*-1 + 5)).\nAnswer: -3*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2974838743?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 136 - 22*u**2 - 136 + (0*u + u + u)*(-7*u + 2*u + 3*u) - 1 + 2*u**2 + 1 + 3 - 3 - u**2.\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/693 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2421, -9649, -21693, -38553?\nAnswer: -60229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnnjjvvjnvnjvjjv. Give prob of sequence vnjj.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r - 394. Let q(c) = -c**2. Calculate u(q(x)).\nAnswer: 4*x**2 - 394","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t**2 - 7*t - 2. Determine u(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + -23. Let s = j + 67. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*n + 25\/7*n**3 - 66\/7*n**2 + 0 - 1\/7*n**4 = 0. What is n?\nAnswer: 0, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(68) + (sqrt(68) + (sqrt(68) - (-3*(sqrt(68) + sqrt(68)*5) - sqrt(68))) - sqrt(68))))\/(sqrt(100)*-5 + 2*sqrt(100) + sqrt(100)).\nAnswer: 21*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19922*i*r**5 - 44*i*r**3 - 10*i*r - 219459*i - 2*r**2 - 5*r wrt r?\nAnswer: -1195320*i*r**2 - 264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 8*n - 5*n - 25, -4*n = -5*p - 65 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 328285\/17 + -19309. Solve -10\/17*b**3 - 18\/17*b**5 + t*b**4 + 0*b - 4\/17*b**2 + 0 = 0.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/20143784 and 101\/97360?\nAnswer: 201437840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 19338?\nAnswer: 19338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 >= -90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 9. Let p = a - 22. Factor 2\/7*n**2 + p + 2\/7*n.\nAnswer: 2*n*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-8))\/(2*2\/(-40)). Calculate the highest common divisor of 45 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -407\/53 (b) -2 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -1. Suppose 5*s = 3*m - 14, 3*s = 3*m + 94 - 106. Let p(v) = v**3 + 2*v**2 + 5*v - 2. Determine s*p(c) + 6*g(c).\nAnswer: -c**3 - 2*c**2 - 5*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 23*b - 200. What is z(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 10*m - 117. Let x be ((-48)\/54)\/((-10)\/m*3). Let i = 6 + -5.7. Is i at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -596, -598, -600, -602, -604, -606?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-30)\/m)**(-48)*m*m**16*m*m**(-13) assuming m is positive.\nAnswer: m**1445","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -13 (b) 8 (c) 4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 328*f**2. Let c(m) be the first derivative of 15*m**2\/2 + 4505. Give g(c(v)).\nAnswer: 73800*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 171.2 + -13.2. Let t = y + -152. What is the second biggest value in t, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 10*o**2 - 28*o - 64. Let x be c(-6). Suppose -2*f = 87 + 1. Let t = x - f. What is the lowest common multiple of t and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6344197?\nAnswer: 313, 20269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 8*f - 10. Let o be j(7). Let d = 3 + o. Solve g + 4*k + 5 = d, -22 = -4*g - 3*k + 8*k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuubuuuu. Give prob of picking 1 b and 2 u.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6938200007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -620*f**2*l**4 + 1466*f**2 + l**4 wrt l?\nAnswer: -2480*f**2*l**3 + 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1089.988326ms?\nAnswer: 0.000001802229375","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**3 - 2*y**2 + 2*y - 1. Let u be c(1). Let x = 5\/114 - 167\/342. What is the second smallest value in 5, x, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/35)\/(-4))\/((-5)\/25)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v + 1. Let c = 341 - 315. Suppose -5*z - c + 2 = 3*b, -3*z = -5*b - 6. Determine h(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3993715?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 + 22 + 35*g**4 + 23 - g**3 + g**2 + 1519*g - 33*g**4 in the form j*g**3 + t + b*g + z*g**4 + c*g**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (2 - 0)*118\/2 and ((-990)\/1287)\/((-1)\/13).\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r = 17*r + 436. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201\/(-268)*((-1120)\/(-108))\/5?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvpvppppvvp. What is prob of sequence pv?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 146047681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 266 and ((-21)\/(-9))\/((-16)\/(2*-120))?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 2\/9 (c) 0.4 (d) 2 (e) -11\/57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-16))\/1*1\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 + -0.8. Which is the closest to 2? (a) 0.4 (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1518.915 * 1.6.\nAnswer: -2430.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -12*f. Let n(o) = 104*o + 128. Let x(i) = 16*i + 20. Let r(q) = 5*n(q) - 32*x(q). Determine r(j(y)).\nAnswer: -96*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -24*z - 1344. Let c be s(-67). Calculate the highest common divisor of 99 and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z - 11. Let g(w) = 13*w + 34. Give -4*g(b) - 14*j(b).\nAnswer: 4*b + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 666?\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -1\/60*h**5 - 1\/8*h**4 - 1 - 3\/2*h**2 - 1\/3*h**3 + 0*h. Let i(j) be the second derivative of a(j). Find z such that i(z) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/22433?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3702.754 decades?\nAnswer: 37027.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -37*m**3 - 60*m**2 - 400*m - 28. What is the thousands digit of o(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6989325 - -0.4.\nAnswer: -1.2989325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9 - 2) + (-18)\/(-54).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b + 2. Let y be o(3). Let h be 5\/((-155)\/(-2)) + 93744\/6727. Solve 5*t + f = -h, 3*t - 3*f = 4*t + y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13214.751 microseconds?\nAnswer: 0.00022024585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hok when three letters picked without replacement from {u: 1, h: 3, o: 1, k: 5, q: 1, y: 3}.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*j*n**3 + 5*j*n*t - 4*j*t - 6*n**3*t - n**2*t**2 - t**2 wrt n?\nAnswer: -24*j*n - 36*n*t - 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y - 5*y + 8*y + y + 4 - 4 + (0 + 0 - 2)*(-y + y - 2*y))*(25*y**3 + 6*y**3 - 3 + 1) to the form p*y**3 + x*y**2 + z*y + f*y**4 + i and give f.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 7:35 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1990, 1987, 1984, 1981, 1978, 1975?\nAnswer: 1972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/27 and 29\/5661825?\nAnswer: 50956425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30822221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22255 + 101051?\nAnswer: 123350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 + 3*k**5 + k**5 + 0*k**5 + k**5 + 0*k**5 - 3*k**5 + k**5 + 3*k**5 + (-5*k + 0*k + 3*k)*(2*k**4 - k**4 + k**4) - 3*k - 2*k**5 + 3*k.\nAnswer: -k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.007 - 0. Let r = g + -19.993. Let c = -19.9993 - r. What is c rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -601606 (base 9) in base 8?\nAnswer: -1266273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 217084 and 217083 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22\/7? (a) -1\/17 (b) -4 (c) -20\/7 (d) 2 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8646)\/(-495) - 18)*6\/(-2)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 319.6341 litres to millilitres.\nAnswer: 319634.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**3 + 9*t**2\/2 - 8*t. Let k be v(-9). Let j = -23 - k. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - j**2 + 609*j - 214. Determine q(0).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157055?\nAnswer: 5, 101, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -695 - -315307.5.\nAnswer: 314612.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a745 (base 12) to base 3.\nAnswer: 12010221022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 9*u**2 - 2*u - 2. Let c be m(-1). Suppose -4*i = -c - 3, 4*l + i = 267. Round l to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 4. Let q be i(0). Suppose 3*u - c = -1, q*c + c - 5 = 0. List the prime factors of ((-21)\/3)\/(u - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.769422576 to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 78*h - 763. Determine z(-10).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, 1, 24, 49, 70?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/9 + 88720*c**2\/9 - 29573*c\/3.\nAnswer: -c*(c - 88719)*(c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-1)*4\/((-12)\/9). Let f = g - 43. Let p = 45 + f. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1. Let w(p) = -p + 3. Calculate -12*d(o) + 4*w(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**3 + 64*b**2 - 12*b + 21. Determine g(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, g: 3, j: 5, v: 1, r: 3}. Give prob of sequence jqrq.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 209325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 1*sqrt(567) - sqrt(567) - (sqrt(567) - (-5 + sqrt(567)*1)))*-5)**2*2.\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 23*u + 104. Let p be w(6). Solve -5*z - 2*f = 14, p*f = z + 10 - 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - f**2 - f - 2. Let l be a(2). Suppose -3*o + l*j = 2*j - 13, 0 = -4*o - 3*j + 18. Find q, given that -o*q - 4*q**2 + q - q**3 + q**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29073028*m**5 + 5*m**2 + 2*m - 257133 wrt m?\nAnswer: 1744381680*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/222 and 68\/4483419?\nAnswer: 331773006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 141 and 4365?\nAnswer: 205155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 1:25 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8860 - -8969. Solve -s*b - 68 = 150 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1221, -0.08, 0.4, -0.4 in ascending order.\nAnswer: -0.4, -0.08, 0.4, 3, 1221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 5*s = -46, -24*j - 5*s + 1 = 16*j + 31 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.976 + 9. Let f = v + -4.624. Let k = 5 + f. Which is the second biggest value? (a) 0.3 (b) k (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 11. Let m(l) = -3*l**3 - 18*l**2 + 25*l + 30. Let w be m(-7). Sort -45, -4, r, w in descending order.\nAnswer: r, w, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -111 + 8?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 73131561 to the power of 1\/2, to the nearest integer?\nAnswer: 8552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 9:46 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**4\/4 - 26*j**3\/3 + 11*j**2\/2 + 32*j - 95. What is the tens digit of i(-27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 232945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**8\/840 - u**7\/525 + u**2. Factor r(o).\nAnswer: -2*o**4*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*35\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1343*0.109\nAnswer: 146.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 725, 2961, 6707, 11963?\n\"Answer: 755*c**2 - 29*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45527604?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 907057778 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times -0.18006?\nAnswer: 3.06102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 833*j*m*t**2 + j*m - 42919*j*t**2 - 8*j*t + 3*m**2*t with respect to m.\nAnswer: 833*j*t**2 + j + 6*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7342, -29391, -66148, -117619, -183810?\n\"Answer: -b**3 - 7348*b**2 + 2*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/81*-6*11613\/(-316).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1095 - 1070. Solve -2*i = -5*w - 6*i + o, 2*w - 10 = 5*i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -187157\/23768 - 2\/2971. Let p be 8\/(-14) + (-739611)\/(-462). Let i = p + -1603. What is the common denominator of f and i?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -274, -5, -2 in decreasing order.\nAnswer: -2, -5, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 5*k + 258 + 75, 4*m = 4*k - 1380. Let z = -327 - m. What is the remainder when 73 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*y = -42*y - 41040. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -8*v**3 - 4*v**2 - 1. Let z(q) = -15*q**3 - 7*q**2 - 3. Let y(s) = 7*m(s) - 4*z(s). What is the derivative of y(g) wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 9972846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14ba - 2?\nAnswer: 14b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 107 - 107 - 2*k. Let v(r) be the third derivative of r**4\/24 + 3*r**2. Determine v(j(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 100386\nAnswer: -7\/100386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2 - b*c**2 + 21*b*o - c**2*o - 5*c**2 - 3*c*o with respect to b.\nAnswer: -2*b - c**2 + 21*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122685?\nAnswer: 3, 5, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 951 - 574. Calculate the remainder when f is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 24. Let x be (-5*3)\/(i\/4 - 0). What is the common denominator of -82\/15 and ((-6)\/(-75)*-32)\/(x\/25)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*q*t**2*x + 470*q*t**2 + 2*q*t*x + 3*t**2 - 61*x - 1 wrt q.\nAnswer: 3*t**2*x + 470*t**2 + 2*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3036 = -71*t - 3861 + 34 + 1680 for t.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*y - 24 = -159, y - 27 = -x. Let n = 29 - x. Suppose -5 = -b + 5*h + 1, -4 = -2*b + n*h. What is the smallest value in 0.2, b, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3108389?\nAnswer: 751, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**7\/7560 + m**6\/360 + m**5\/40 + m**4\/8 + 3*m**2. Let g(i) be the second derivative of h(i). What is p in g(p) = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.40552 + -1.162. Round q to 2 decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 - 132690*h**2 - 1061533*h - 1592304.\nAnswer: (h - 530768)*(h + 2)*(h + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29312347 to the power of 1\/2, to the nearest integer?\nAnswer: 5414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 49*a = 45*a + 30, -5*t - 67 = -2*a for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88996 is divided by 326?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 2*s**2 - 2*s - 2. Let k be t(-2). Solve -6 = k*w + 4*b + 4, 0 = -4*b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s + 0*s + 0*s + 0*s in the form q*s + p and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 1)*(0 + 17\/2). Round y to zero dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 41*u. Let g(r) = 1281*r. Let y(s) = 63*a(s) - 2*g(s). Let t(q) = -q. Determine 14*t(x) - y(x).\nAnswer: -35*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/29)\/(n**(5\/4)*n))\/(n**(2\/13))**(-2\/39))**(-3\/17) assuming n is positive.\nAnswer: n**(135919\/333268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n**3 - 10560*n**2 - 64228*n - 53640 = 0.\nAnswer: -5, -1, 2682\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7)\/(-14) + 7\/2 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.3 take away 997604.7737?\nAnswer: -997585.4737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 = 14*t - 38. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23299747?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 35538, 71071, 106602, 142131, 177658, 213183?\n\"Answer: -n**2 + 35536*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z**2 - 3*z + 3. Let v be x(1). Let p(o) = o**2 - 8*o + 1. What is p(v)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3322 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1.06. Let u = x + -0.16. Let a = -3 - -5. What is the nearest to 0 in -2\/3, a, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.936 + 98.1?\nAnswer: 97.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.65 - 0.65. Which is the closest to 0.1? (a) -0.14 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 + -32. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1634, -3561, -5746, -8189, -10890, -13849, -17066?\nAnswer: -20541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 20650.\nAnswer: 3\/20650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*g + 14. Let t be (0 + 2)*(-3)\/g. Suppose t = -2*u + 7. Solve -3*d + d + u = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39319 is divided by 3523.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46.914 + 47. What is z rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17307581.1 to the nearest ten thousand.\nAnswer: 17310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-16))\/(30\/16 + -2). Differentiate 53*i**2 - 57*i**2 - 4*i**2 + 61*i**q + 35 wrt i.\nAnswer: 106*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - 6 - (-4 - -1). Let n(u) be the third derivative of u**3 + 1\/20*u**5 + 0*u + 4*u**2 + 0 + 11\/24*u**l. Solve n(y) = 0.\nAnswer: -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 161 + -95. Let o = -44 + 24. What are the prime factors of v\/8 + 5\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57.1 - -57. Which is the closest to z? (a) -1\/3 (b) 3 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.16 + -5.84. Let l = 6446.077 - 6440. Let m = l + r. Round m to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5)\/(a\/a**(2\/7))*a**(-1\/4)\/(a*a*a\/(a**6\/a)) assuming a is positive.\nAnswer: a**(-111\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2030143030 (base 5) to base 3.\nAnswer: -21210200010021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3038.75945 - 0.502.\nAnswer: 3038.25745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 765 and 0.005?\nAnswer: 3.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + a**4 - 2*a**4 + 2 + a**2 to f + j*a**4 + b*a + w*a**2 + g*a**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.50882ml to litres.\nAnswer: 0.00950882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/217970360 and 31\/6?\nAnswer: 653911080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 56\/(-14) + 69*10. Let o = b + -684. Solve o*z = -4*d + 11 - 1, 0 = 4*d + 3*z - 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3, 4\/1647, 0.1, 0.099 in increasing order.\nAnswer: 4\/1647, 0.099, 0.1, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5654159*m**3 + 29841*m + 19894. Let p(w) = 2842*w**3 - 15*w - 10. Calculate -5*c(l) - 9947*p(l).\nAnswer: 1421*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/18)*(t\/(t*t\/t**(3\/5)*t)*t)\/t*t)\/(t*t**(5\/6))**(-1\/2) assuming t is positive.\nAnswer: t**(83\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6*m = m - 1819, -1 = -m. Does 57 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 11*u**3 - 3*u**2. Suppose -27 = -5*r - 5*m - 2, -4*r + 5 = -m. Calculate the remainder when b(r) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**5 - u**5 + 3*u**5 + 5*u**5 - 4*u**5 - 6*u**5 + (u - u - u**2)*(0 + 2*u**3 + 0).\nAnswer: -5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -112612\nAnswer: -56306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 - 0.8. Let i = 15 + -151\/10. Which is the closest to u? (a) i (b) 0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4697818 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 41.6 * -0.2\nAnswer: -8.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 112411 and 0.8.\nAnswer: 112411.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 8*c - 4. Let b be s(-7). Suppose -183*z + 80 = -163*z. Suppose b = z*w - w. Let r(h) = 4*h. What is r(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -2\/9 (c) 1 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 - r**3 + r**3 - r**2 + 2*r**3 - 3*r**3 - r**3 + 0*r**3 + 2*r**3 - 3*r**3 + (5*r**2 - 4*r**2 - 3*r**2)*(-2*r - 2*r + 3*r).\nAnswer: r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x = 5*k - 2*k - 72, x + 192 = -k + 181 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*g - 55*g + 23*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -47 (c) -5 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -688*m + 708*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 416 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 r, 1 s, and 1 w when four letters picked without replacement from {r: 1, s: 1, w: 3, o: 1, f: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190507?\nAnswer: 190507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 89 - 55. Let i = -12 - -17. Let l = -1 + i. Calculate the highest common divisor of p and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.8, -3\/5, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 11:26 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 5:45 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80 (base 13) to base 2.\nAnswer: -1101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-2)\/(-3) + (-220)\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 5)*(-1 - 3 - 3)*(-w**3 - w + w)*(6*w - 3*w - 2*w) + 3*w**4 - 2*w**4 + 0*w**4 as z*w + y*w**4 + i*w**3 + t*w**2 + x and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -303 + 853. Let b = s + 138. Let a = -468 + b. Is a a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1687868 is divided by 73385?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 13*k + 23. Suppose t = 18 + 13. Let u = t - 19. What is the tens digit of n(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*r = 47*r - 19*r + 7770 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**3 - 3*p**2 + 3*p - 5. Let n(y) = -y**3 - y**2 + y - 1. Determine -g(r) + 3*n(r).\nAnswer: 3*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -99, -194, -279, -348, -395, -414?\n\"Answer: u**3 - u**2 - 99*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 0*v**2 - 6\/5*v**5 - 5 + 0*v + 7\/3*v**3 + 0*v**4. Find the third derivative of j(x) wrt x.\nAnswer: -144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 33 (b) -52 (c) -5 (d) -2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1779 = -5*x, 3*b + 4*x - 2*x = 1317. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -14 + -3 + -2 + (36 - 3).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 1680676 - 1680679 + 3361355 + 4*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 35 = -39. Sort l, 1, 5.\nAnswer: 1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -j + 4162, -j - 4*j + 3*d + 20810 = 0. Suppose -31*k - 225 = -j. What are the prime factors of k?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 386\/9*k**3 + 5*k**4 + 2\/15*k**5 + 512\/3*k - 58 - 160*k**2. Let w(j) = 0. Calculate j.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -415\/18, -5, 49, -4, 3\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227703 is divided by 1015?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*27\/(-16))\/(1575\/2100)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14942, 14967, 14992, 15017, 15042, 15067?\n\"Answer: 25*y + 14917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -5\/33*y**3 - 1\/110*y**5 + 2*y + 2 + 2\/33*y**4 + 2\/11*y**2. Let o(x) be the first derivative of j(x). Factor o(k).\nAnswer: -2*(k - 2)*(k - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Suppose -z*u = -4*u + 64. Let p = -33533 - -33660. What is the remainder when p is divided by u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8012.62l to millilitres.\nAnswer: 8012620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-21) - 8\/(-28). Suppose 5*n - 48 = -2*f, -n - 120 = -5*f - 0*n. Suppose 0*h - f = -3*h. Solve s = 4*w + 3*d - 2*d - 21, -3*d + h = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 114.085 + -0.085. Let j = q - 113. Which is the smallest value? (a) 0 (b) -0.7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4086266 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 571540 divided by -8405\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -92495463, -92495470, -92495477?\n\"Answer: -7*r - 92495456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -323*m**2 - 35*m - 39. Let a(d) = -80*d**2 - d + 1. Let j(n) = 4*a(n) - u(n). Calculate j(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.1 and -0.01025.\nAnswer: 0.103525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 93*p**2 + 192*p + 909. Let u be t(-91). Which is the nearest to -3? (a) 3 (b) 19 (c) -3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 6*g - 5. Let r(n) = 1. Let a(f) = -3*k(f) - 15*r(f). Suppose a(l) = 0. What is l?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 + 93 = -52*j - 362 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 2\/5, 13, 481, -0.3, 1\/5.\nAnswer: -0.3, -1\/8, 1\/5, 2\/5, 13, 481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 11*i + 15, -3*i = -c - 22 + 27 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221480168 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*d + 3*j, 13*j + 14 = -4*d + 15*j. Let i(k) = -k**3 + k**2 + k - 3. What is i(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -218 divided by -1?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rprrrrrrrpr. Give prob of picking 1 r and 2 p.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, -228, -711, -1396, -2289, -3396?\nAnswer: -4723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136886507?\nAnswer: 19, 379187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-81208)\/10)\/(1\/(-5)). Suppose g = 3*g + k. Let v = 100302 + g. What is v rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -9. Suppose -22 = 3*o - 4*s, -2*o - 2*o + 4*s = g. Let t = -7 - o. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/(-578))\/(((-1677)\/52)\/(-43)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -308001 + -13.\nAnswer: -308014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from ghgb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -31*t**3 - t**2 - t - 1. What is v(-1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -24*v + 2732. Let w be u(0). Suppose -2700 - w = -14*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -4, -983, 70 in descending order.\nAnswer: 70, 5, -3, -4, -983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 4 (c) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*s**(-4))\/s**(-14) assuming s is positive.\nAnswer: s**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -5482686000 to the nearest one million.\nAnswer: -5483000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 1110214?\nAnswer: -1110206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 4. Let j be g(-6). Let z be ((-34)\/j - 3)*5. Solve 4*h = z*h + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**3\/3 - 8. Let f(t) = 4*t**2 - 5*t**2 - 2*t**2. What is f(c(u))?\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 291512.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2941406 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0. Let c = -0.1 - g. Let f = 0.507 + -0.107. What is the closest to -1\/4 in -4, f, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - 1899408207137*n + 1899408207137*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*v - 20*v + v - 27*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, 3, 465, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-14) + -1)*66\/(-132)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 73 + (64 - 76) + 17\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434 = 60*a + 2*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**2\/2 - 77565*h\/2 + 1785053 = 0.\nAnswer: -77611, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.8 + -217.\nAnswer: -219.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 15 + 10. Let t(x) = -2*x**3 - 6*x**2 - x + 5. Let v(b) = 2*b**3 + 7*b**2 + b - 6. Determine p*v(i) - 6*t(i).\nAnswer: 2*i**3 + i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(-17 + 0 + (-5684)\/(-392)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1851 and 31\/18.\nAnswer: 11106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4537 is divided by 750.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 11:48 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 2*w + 30 + 23. Which is the nearest to 3? (a) 2\/25 (b) 14\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45708 divided by 11427?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 f, and 1 z when four letters picked without replacement from zifiizzfifzffiziiff.\nAnswer: 245\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 8*b**2 + 8*b - 7. Let o be u(-7). Let r = o - -28. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1417 - -43930\/31. What is the nearest to 1 in 2, 2\/9, m, 2\/11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -47. Suppose -5*g + 3*g = 0. Suppose g - y = -4*z. Solve -5*n + 35 = -3*k, z*k + 10 = 2*n - 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -562 (b) 5 (c) 453\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 822 and 1731954.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 15) in base 16?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31375816 to the power of 1\/2, to the nearest integer?\nAnswer: 5601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-15))\/(8\/(-10))*3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3036010?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 1568?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -149391*i**6 + 410*i**2 - 2*i + 4 wrt i?\nAnswer: -17926920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 2*(1 + 1). What is the second derivative of -2*q + 2*q**2 - 6*q - 2*q**2 - 14*q**w wrt q?\nAnswer: -84*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*-0.4.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 2)*(l + l**2 - l) + 0*l**2 + 0*l**2 + l**2)*(-1198*l**2 + 39*l + 1198*l**2 + 4*l**3).\nAnswer: 12*l**5 + 117*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 54949572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -535032 divided by 54\nAnswer: -9908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2ab7c8 (base 14) to base 4\nAnswer: 11230021110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/2 + 4)*(-12)\/(-2). Put -12, -2, n, -7 in ascending order.\nAnswer: -12, -7, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-36) + (-16)\/(-3). Suppose -427 = -4*v + v - 5*q, h = q. Suppose 4*w + 34 = 2*i - 8, 2*w - v = -4*i. What are the prime factors of i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + j**2 - j + 39. Let u be (-2)\/4*(3 - 3). What is the units digit of n(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2957206 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f**3 + 43*f**3 - 235*f**2 - 63 + 18*f**3 + 54.\nAnswer: 44*f**3 - 235*f**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/((-3)\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -33. Solve 4*l - 2*u = 9*l + 25, 0 = -5*l + d*u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 7*t + 4 + 493*t**2 - 8*t - 491*t**2 to the form p*t**2 + x + r*t and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*n - 2 = 23, 0 = d - 5*n + 5. Suppose -2*t + 8 = 2. Suppose 4*h + 9 = t*h. Sort d, 3, h in descending order.\nAnswer: 3, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 382389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-2*-4)**2 + sqrt(5) + 0 + 4.\nAnswer: sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120091675 and 3100?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9888 and 15504?\nAnswer: 3193824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 2*m + 1. Let p(h) = 2*h**3 - 2*h + 1. Let x be p(1). Suppose -4*w + x = -7. Determine z(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**5\/60 - 5*n**4\/24 + 2*n**3\/3 + 10*n**2. Calculate c(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 2*i + 3. Let l be x(-3). Suppose l = -u + 4*u. Solve -w + 4 - 6 = u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9)\/(18\/(-4)) + -5 + 1716 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -4, 14, -5 in increasing order.\nAnswer: -5, -4, 14, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18297560 and 26840?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13581876 - 2178124. What is c rounded to the nearest one hundred thousand?\nAnswer: -15800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l - 217. Let t be n(0). Let m = t - -418. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -14*t - 14. Let g be a(-4). Calculate the highest common factor of g and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-205)\/(-105) - 9\/((-315)\/(-10)). Which is the closest to 2\/3? (a) 1 (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24 - (2 + -2)\/(-2). Suppose 0 = 4*w - p - 13, 5*w - 9 = -5*p - k. Solve 3*y = 5*y + w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, -23, 7, -14, 1 in descending order.\nAnswer: 65, 7, 1, -14, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28028*i**3 - i**2 - 24*i + 37 wrt i?\nAnswer: 168168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120 - 119.862. Let y = z + -0.221. Let f = -0.089 + y. Round f to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -16. Let h = u - -26. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**4 - 7*k**3 + 5*k**2. Let h(z) = -z**3 + z**2. Let u be 1\/(3\/(-6)*-1). Let g(p) = u*y(p) - 10*h(p). Factor g(r).\nAnswer: -4*r**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**3 - 89*u**2 + 60*u - 63. Let m be v(29). Put -4, 4, -1, 8, m in decreasing order.\nAnswer: 8, 4, -1, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**5 + 107*l**4\/3 - 177*l**3 + 211*l**2 - 86*l\/3 - 40 = 0.\nAnswer: -1\/3, 1, 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -b + 2, u - b = 4. Suppose u*c - 510 = 260. Suppose 286 = 47*w - 372. Calculate the highest common factor of c and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 17*u + 19 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496.991 litres in millilitres?\nAnswer: 1496991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31923, 67885, 103847, 139809?\n\"Answer: 35962*i - 4039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7450 and -6.7?\nAnswer: 49915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*d - 31, -d + 4*b = -4*d + 4. Let c be 9*(1 - d\/12). Suppose -c*m - 5*k - 1 = 0, -8 = 4*k + 12. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -557, -4581, -15543, -36917, -72177?\nAnswer: -124797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/6)\/(1\/(-3)). Put 0, -4, r in ascending order.\nAnswer: -4, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48061133 or 48061135?\nAnswer: 48061133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 120 - 50. Let m be (-2)\/((-5)\/a*4). Find the third derivative of -2*l**3 - 33*l**2 - m*l**3 + 47*l**2 wrt l.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 7 + 1. Sort 5, t, -5 in descending order.\nAnswer: 5, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 13*f. Let p(s) be the first derivative of 17*s**4\/24 - 9*s**2\/2 - 2*s - 107. Let i(k) be the second derivative of p(k). Give h(i(z)).\nAnswer: 221*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9656 divided by 142\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 5*o + 4. Let p be b(7). Let g be ((-32)\/p)\/(1\/5). Suppose i - g = -i. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57813*r**3*x - 23*r**2 + 298380*r*x - 16*x wrt r.\nAnswer: 346878*r*x - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932 is divided by 104.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 7*a - 17 = 2*a, 5*r + a = -1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-17)\/(0 - (-15)\/117). Let l = p + 133. Let q = 0.3 + -0.2. Is l greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 360703, -4 in descending order.\nAnswer: 360703, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1664 + -267.6227204.\nAnswer: -267.7891204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 242060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztoozzzwzotowoozzoo. What is prob of picking 1 t and 1 o?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 27. Suppose -4*w = -y*t - 662, t = -w + 5*t + 176. What is the remainder when w is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/67 (b) -4\/7 (c) 3502\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7427*q**3*v**4 - 5307167*q**3*v**2 - 3*v**4 wrt v.\nAnswer: 178248*q**3*v - 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**4\/15 + 2*h**3\/5 + 4*h**2 + 60*h. Determine r, given that n(r) = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u**2 - u + u**2 + 3*u**2. Let j(h) = -h**3 - h - 1. Let z(i) = 5*i**3 - 7*i**2 - 4*i + 3. Let y(x) = 3*j(x) + z(x). Give 6*o(l) - y(l).\nAnswer: -2*l**3 + l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -332 + 325. Let m(j) = -10*j + 2. Let z(d) = 9*d - 2. Determine v*z(y) - 6*m(y).\nAnswer: -3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**2 - 2*o. Let z(f) = 17*f**2 + 9*f. Give 26*j(p) + 6*z(p).\nAnswer: -2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 37*51\/8806*(3 + (-598)\/204)?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 960, -113 in ascending order.\nAnswer: -113, 4, 960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2765382000 to the nearest 1000000.\nAnswer: 2765000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 208*u + 460*u + 165*u - 230*u + 409*u as g*u + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 14, f: 1, v: 2}. What is prob of picking 2 r, 1 f, and 1 v?\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 0*r + 0*r)*(-20*r - 11*r**3 + 20*r)*(-r + 4*r + r).\nAnswer: 132*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s + 4. Let m(j) = -j - 31. Let y be m(-23). Give o(y).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 157*g**2 - 2*g**3 + 132*g**2 - 255*g**2 as f*g + l*g**2 + h*g**3 + s and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243515 and 128255?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -3 - (-26*8\/(-80) - 4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 1:36 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o + 8. Let t be y(-4). Suppose t*q - 15 = -5*q. Let i = q + 19. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*f = 53 - 205, 0 = k + 5*f - 64. What is the lowest common multiple of k and 2?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 8 - 2. Let a be f*(-4)\/6 - 2. Suppose -2*p + 4*x - 20 = 0, 0*p = a*p + 3*x - 1. Let t(c) = -c**2 - c + 4. Determine t(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223 (base 10) in base 6?\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -13*o**2 - 2*o. Let k(f) = -f**3 + 66*f**2 + 10*f. Determine -2*k(w) - 11*n(w).\nAnswer: 2*w**3 + 11*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-3))**(-2\/5)\/(x**(1\/3)*x)**(1\/14) assuming x is positive.\nAnswer: x**(74\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = -9*z - j, -97*z = -96*z - 4*j + 24 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 4*u - 37*k = 35 - 71, 2*k = 3*u - k + 36 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.524701 years to decades.\nAnswer: 0.0524701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 6*r**2 - 6*r - 2. Let k be o(-5). Suppose 2*g = -3*l + 2, 2*l = -4*g - 3*l + 6. Suppose -u - g = k*u. Are -2 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156028909 to the power of 1\/2, to the nearest integer?\nAnswer: 12491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2. Let c(s) = -2232*s**2 + 64*s + 32. Let n(v) = -203*v**2 + 6*v + 3. Let b(d) = -3*c(d) + 32*n(d). Determine b(x(y)).\nAnswer: 800*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 9:56 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + sqrt(320).\nAnswer: 7 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d + 17110 = 84*d. What are the prime factors of d?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114787 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5584 (base 10) to base 9.\nAnswer: 7584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 11*k**2 + 10*k - 12. Let n be p(10). Let h be (-98)\/8 - 3\/n. Does 4 divide (-80)\/h - 2\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 651.1379 litres to millilitres.\nAnswer: 651137.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.910351 kilometers?\nAnswer: 910351000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -179?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 2)*(-i + 2*i + 2*i) + 0*i - 2*i + i)*(2 + 0 + 0)*(1 - 3 + 0).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2956130766262 and 0.8?\nAnswer: 2956130766261.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14*(176\/28 - 6). Suppose -17*b - 170 = -3*u - 13*b, -8 = g*b. Which is smaller: 53 or u?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/1259, 4, -1\/57, 2 in increasing order.\nAnswer: -1\/57, -15\/1259, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 482179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 43*d**2 - 36*d - 193. Calculate the smallest common multiple of 28 and u(42).\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1394, -2829, -4264?\nAnswer: -5699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6556 + -6561. Let x = -11\/6 + 13\/3. Let d = x - 1. Which is the second biggest value? (a) d (b) h (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/3)\/l)**(-33) assuming l is positive.\nAnswer: l**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346 - 781 = -23*h. Calculate the greatest common factor of h and 637.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t + 12. Let s be i(6). Suppose s = 4*d - 8*d - 2*k + 2, -2*k - 6 = 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**40)**(-17) assuming u is positive.\nAnswer: u**(-680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nppeexo. Give prob of picking 1 e and 1 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 33 (c) -36 (d) 123 (e) -4 (f) 4\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 162109.8s in nanoseconds?\nAnswer: 162109800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14766, -14788, -14824, -14874, -14938, -15016, -15108?\nAnswer: -15214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 7:50 AM?\nAnswer: 122","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 5672\/9 - 39128\/63. Factor -48\/7*u**2 - 16\/7*u**3 - 32\/7 - m*u - 2\/7*u**4.\nAnswer: -2*(u + 2)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68404486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 299180000 to the nearest one million.\nAnswer: 299000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-454)*2683\/16098?\nAnswer: 1\/227","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.2, 91?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from esseessess?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6214 and 7852.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -156, -142, -128, -114, -100?\n\"Answer: 14*p - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = -0. Let y = c - 0. Find the first derivative of y - v**4 - v**2 + v**2 wrt v.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-18)*1)\/((-27)\/(-108)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2337*p**3 + 1164*p**3 - 1471*p**5 + 1224*p**2 + 1173*p**3 wrt p.\nAnswer: -88260*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44410 is divided by 1929.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3450002*c - 1 - 2 - 1. Suppose 0 = -189*h + 121*h - 136. Let u be j(h). Round u to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 6*h**2 - 7*h - 6. Suppose 15*n = 14*n + 13. Suppose 3*s - 3*u - 43 = -s, -4*u = s + n. What is the least common multiple of s and w(-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1650 and 145350?\nAnswer: 1598850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/568 and 32\/2769?\nAnswer: 22152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43313 + 15376139\/355. What is the common denominator of i and -1\/5?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * 2179162.\nAnswer: -196124.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*x - 50 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 + 444*v**2 + 596*v + 67205. Give u(224).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from ggggxqtt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1, -11, -35, -79, -149, -251?\n\"Answer: -m**3 - m**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 45*k - 6838. Let b be i(152). Sort 0.4, 408\/11, b in decreasing order.\nAnswer: 408\/11, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -20*i**2 - 4*i - 7. Let a(u) = -10*u**2 - 2*u - 3. Determine -7*a(t) + 3*l(t).\nAnswer: 10*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, -145, 0.3, 4\/5, -12.\nAnswer: -145, -12, -3, 0.3, 4\/5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7911 from 2.142974.\nAnswer: 7913.142974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*w + 7*w - 4*z + 18, -3*w - 3 = -4*z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -16 + 0*c - c**2 - 8*c**3 + 1\/2*c**4 - 1\/70*c**7 + 1\/40*c**6 + 3\/5*c**5. Factor w(d).\nAnswer: -3*(d - 4)*(d - 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 103, -11\/8, -4?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 18*l**2 + 3*l. Let j(p) be the third derivative of -p**5\/60 + p**4\/24 - 21*p**2. Let v(u) = -5*j(u) + k(u). Find the second derivative of v(x) wrt x.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3)*(11 + -3). Let f = 4583\/95 + -909\/19. Which is the third biggest value? (a) 0.5 (b) f (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 56 + 14 = 0. Suppose 0 = 18*a - h*a - 351. Solve a*o = 22*o + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 64.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, u: 2, t: 2, q: 1, l: 2}. What is prob of sequence llty?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1, 7\/8, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j - 10 = 0. Let f = 0 - j. Sort -11, 5, f.\nAnswer: -11, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 11*d - 15. Sort -5, d, 7.\nAnswer: -5, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1806 = -3*l, 0 = 3*l + s - 1690 - 122. Let y be (2 + 55\/(-15))*l. What is the tens digit of y\/(-15) - 0\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1722 and 7?\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 3*m + 14*a + 435, -3*m + 4*a = 407. Let l = -109 - m. Calculate the remainder when 89 is divided by l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42029 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/16364 and -47\/16?\nAnswer: 65456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-25))\/((4\/60)\/((-6)\/(-27))).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - f + 2 = -3, 5*u + 4*f = -5. Which is smaller: 1\/26 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18802797 is divided by 1200.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 268, 27, 2 in ascending order.\nAnswer: -5, 2, 5, 27, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9713901 millilitres?\nAnswer: 0.0009713901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/520 and -55\/4784?\nAnswer: 23920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65360 is divided by 7254?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -127476, -254830, -382184, -509538, -636892?\n\"Answer: -127354*v - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a kilometer in meters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 0*q**3 + 0 - 1\/8*q**4 - q**2 + 0*q. Let w(b) = 0*b + 0*b + 3*b**2. What is a(w(l))?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46372809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-24)*s*s**(-36) assuming s is positive.\nAnswer: s**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, u: 2, e: 5, j: 5, x: 4, p: 1}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271111672 is divided by 11263?\nAnswer: 11262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 6*y**2 + 5*y. Determine c(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**4\/12 + 13*a**3\/6 + 6*a**2. Let d be i(6). Let s be 3\/(2652\/(-48) - (-2)\/(-8)). Which is smaller: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4*((sqrt(171)*2*-6 - sqrt(171)) + sqrt(171)) - (-2 + (sqrt(171) - (1 + sqrt(171) + sqrt(171)))*-5))**2 + 3.\nAnswer: 954*sqrt(19) + 480348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.1 + 5.3. Let v = -109\/49 + 1\/441. Let w = -17\/9 - v. Which is the smallest value? (a) -0.1 (b) w (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 9 = -3*i, 3*i - 7 = -h + 16. Let f(o) = -o**2 + 7*o + 10. Let l be f(h). Solve l*k - 27 = -3*b - 3*k, -19 = -b - 5*k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -126\/353 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 + 11*g**2 + 11*g. Let v(c) = -10*c**2 - c + 1. Let l be v(2). Let w = l + 37. Let i(t) = -t**3 - 6*t**2 - 6*t. Give w*u(n) - 7*i(n).\nAnswer: -n**3 - 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 divided by -605576.\nAnswer: -115\/605576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-three halves of a millisecond?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37533?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 11) to base 6.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8880\/5180 + (-422)\/238?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2654455 to the nearest integer?\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 62.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1613352 and 390?\nAnswer: 8066760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 - q**5 + 2*q + 2*q**5 + 20 + (-2*q**3 + 2*q**3 - 3*q**3)*(2*q - 2*q + 7*q**2).\nAnswer: -20*q**5 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -37521 times 6.8\nAnswer: -255142.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g**4 + 7*g**2 - 7*g**2 + (g**3 + 0 + 0)*(2*g - 4*g - 3*g) + 0*g**4 + 3*g**4 + 15*g**4 to the form u*g + f*g**2 + c*g**3 + m + i*g**4 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70684207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8678?\nAnswer: 2, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 540949 or 540529?\nAnswer: 540529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1129235786*o**2 - 1487950039*o wrt o.\nAnswer: -2258471572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 332 or -1020?\nAnswer: -1020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + l**3 - 6*l + 0*l + 0*l**3.\nAnswer: 3*l**3 - 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i**3 + 2*i**3 - 5*i**3)*(5*i - 6*i + 36 - 19).\nAnswer: -7*i**4 + 119*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1587, -6018, -13411, -23772, -37107, -53422, -72723, -95016?\nAnswer: -120307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.797 times 4\nAnswer: -3.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -600 (b) -0.076 (c) -5 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-52) - 3\/1*(-7089)\/663. Let a = -0.04 - 0.26. Put 1, 2\/17, a, s in descending order.\nAnswer: s, 1, 2\/17, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lcllcclllll.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -19656 and -19655 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 94\/10 + (-4)\/10. Suppose -4*l + y = -4*y - t, 4*l - y = 8. Suppose 0*k - l*k = -50. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.4 and 4.\nAnswer: -33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m + 7685. Let h(k) = -4*k. Calculate f(h(y)).\nAnswer: -8*y + 7685","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 - 7*z**2 - 9*z - 13. Does 22 divide o(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*a - 1)*(2*a - 2*a + 2*a) + (5 - 3 - a + 2*a)*(-a + 0*a - 4*a).\nAnswer: 3*a**2 - 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145\/(-174)*6 + -2*2\/4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 7*i**2 + 10*i + 6. Let f be w(-8). Let t = f + 1. Does 24 divide ((-6)\/t)\/1*108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**7\/1260 + 13*n**6\/360 - n**5\/2 - 7*n**4\/6 - n**2 + 12*n + 2. Let c(x) be the third derivative of h(x). Solve c(q) = 0.\nAnswer: 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 15 = -0*z. Let o = 1 + z. Solve 1 = 5*m - o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 572 + -313. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2306*t**2 + 4561*t**2 + 3*t - 2256*t**2.\nAnswer: -t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*p - 2*p + 5*p)*(0 + 1 - 3) - 2*p + p + 3*p)*(0*p + p + p**3 + p**3) as c*p**2 + t + y*p + u*p**4 + o*p**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -m - 388889, 0 = -4*m + m - 9. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.08927 times 110\nAnswer: -669.8197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18589 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12, -27, -44, -63, -84, -107, -132?\n\"Answer: -g**2 - 12*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38254\/8 - (-3)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 + 56. Suppose -5*x = s*v - 12, -5*x - v + 0*v + 16 = 0. Suppose x*b + 392 = 2*y, 0*b - 3*b + 413 = 2*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-462)\/91 + 8\/104?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**3 - 5*d**2 - 4*d - 9. Let g(i) = i**3 + 1. Let w(o) = 4*g(o) + x(o). Let j be (-8)\/(-28) - 40\/(-7). Calculate w(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/630740 and -48\/36905.\nAnswer: 6938140","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4741150 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -304130 + 547819. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14637 or -16887?\nAnswer: -14637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -68185*i - 23. Let l be v(-11). Suppose 9*j + l = 4*j - 4*c, -4*c + 599988 = -4*j. Round j to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5983 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7287*x + 7284*x + 5*s = 231, 3845 = -47*x + 3*s for x.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 191, -3, -2 in decreasing order.\nAnswer: 191, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15545 = -16*c + 11*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988013424 a multiple of 4414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.5 + 7. Let a = x + -0.4. Is a > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/15)\/d)\/d*d\/(d**(-3\/8)*d))\/(d\/((d*d\/(d*d\/d**(-1)))\/d*d))**(-18)*d**(-2\/23)*d\/(d*d**(1\/9))*(d*(d**0\/d)\/d)**(35\/4) assuming d is positive.\nAnswer: d**(211087\/8280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -30)\/5 + 2 + -4. Suppose -k - 97 = -99. Solve -2*q + 3*r - x = 2*q, k*r - 3 = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(11) - (sqrt(11) + -2)) - (sqrt(11) + sqrt(11) + -4 + 2) - (5*sqrt(88)\/sqrt(2) + sqrt(44) - sqrt(44))\/(4*(2*sqrt(4) + sqrt(4))).\nAnswer: -29*sqrt(11)\/12 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0, -2\/9, -0.2, 35 in decreasing order.\nAnswer: 35, 0, -0.1, -0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 351\/(-78)*(-4)\/(-33)*-22?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5490.25 and -0.1?\nAnswer: 549.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 22*u + 455.\nAnswer: -(u - 13)*(u + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/2)\/b*b)\/(b**4\/b))**(-6)*(b**(2\/5))**(-20)*b**(-1\/6)\/(b**(-1\/3)\/b) assuming b is positive.\nAnswer: b**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -371 (c) 1\/2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22274 + 61737. Is 31 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**3. Let z = -702 + 698. Let k(u) = 4*u**3 - 2*u**3 + 2*u**3. Calculate z*d(j) - 3*k(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 367, 0.04, -4, -234\/35?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a week in seconds?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2\/5 (b) 5\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 369 by 11074.\nAnswer: 369\/11074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = -2*c. Let t(n) = -n - 1. Let k(b) be the second derivative of -7*b**3\/6 - 9*b**2\/2 + 10391*b. Give c*t(f) - k(f).\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 - 8*m**2 + 10*m + 11. Let f be r(12). Suppose -183*g + 178*g = -f. What is the remainder when g is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*2*-3*sqrt(133))\/(sqrt(7)*1*-2 - (sqrt(7) - (sqrt(7) + sqrt(7) + sqrt(7)*2 + sqrt(7))*5)).\nAnswer: -48*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - 38*u + 37*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 - 6095481*i + 6095481*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99\/38 + 34\/(-68) - (1 - -1).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 21*d - 108. Determine m(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 9:33 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 115*t - 1483. Calculate the least common multiple of a(13) and (0 + -5 - -17) + (1 - -1).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19486 to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2 - 4. What is the derivative of 4*h**2 - 1 - 7*h**r - 11*h**2 wrt h?\nAnswer: -28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 10*n**3 + 29 + 3*n + n**4 + 8*n**3 in the form z*n + j*n**4 + g + d*n**3 + v*n**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -415*c + 6411. What is h(15)?\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 49*g - 1. Let o(n) = -2*n**2 - 1. Suppose 3 = 3*c - 10*k + 5*k, -3*k = -3*c - 3. Let u(a) = 10*a**2 + 4. Let j(y) = c*o(y) - u(y). Determine x(j(m)).\nAnswer: -98*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -641*q**2 - 6. Let u(l) = 641*l**2 + 5. Determine 6*u(w) + 5*y(w).\nAnswer: 641*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 7*p**3\/3 + p**2\/2 + 17*p - 22. Does 25 divide f(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**3 - 3*s**2 - 4*s - 4. Let m(a) = a**3 - a**2 - a - 1. Determine -3*k(d) + 12*m(d).\nAnswer: -3*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42149.\nAnswer: 113, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2 + 75*v - 99*v + 55*v + 2. Let a(g) = g**2 - 4. Let r(o) = -o**2 + 5. Let p(k) = 5*a(k) + 4*r(k). Calculate p(b(t)).\nAnswer: 961*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(-4*f + 4*f + f) + (-2 - 1 + 1)*(-1 + 2 + 3)*(21 - 874*f - 879*f + 1759*f) + (5 + 2*f - 5)*(2 - 5 + 4).\nAnswer: -48*f - 168","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -3969\/19 (c) 0.5 (d) 2\/17 (e) 1\/5 (f) 3\/140\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-7468 - -13)\/(-15)*46*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/11 and -39\/378182.\nAnswer: 4160002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -5. Let t be 4\/y + (0 - -3). Is (t\/2)\/((-1)\/10) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: a2317 (base 13) to base 6\nAnswer: 10121015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**8\/20160 - 2*s**5\/15 - s**4\/8 - 48*s**2. Let o(c) be the third derivative of t(c). Let g(r) = 3*r**2. Calculate o(g(m)).\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 0.0429?\nAnswer: 0.3432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*l = -4*c - 39*l - 2, 3*l + 2 = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 106 and -40615.\nAnswer: -4305190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.07 (b) -4 (c) 7 (d) 3 (e) 0.2 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 1. Let v = 13792 + -13792. Let b(c) be the second derivative of -2\/3*c**4 - 3\/2*c**2 + v + 19*c + 0*c**3. Determine -b(f) - 3*q(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363)*2*1 + sqrt(363))\/sqrt(11))\/(sqrt(6)\/(sqrt(4)\/sqrt(2)) + 3*sqrt(9)\/sqrt(3)).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1222241 + -353?\nAnswer: 1221444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7}. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 4*n - 15 - 2*n)*(4*n**3 - 52*n**4 + 75*n**4 - 2*n**3).\nAnswer: -138*n**5 - 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94 + -22. Is 24 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 5*a + 9. Calculate h(9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 - 2. Let j be l(2). Let c = 10 - j. Suppose 0 = d + d - c. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 501, 1250, 2033, 2856, 3725, 4646?\nAnswer: 5625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.8369 to 2 decimal places.\nAnswer: -6.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-16) - 720006\/8. What is i rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(0 + sqrt(931))**2 + (sqrt(931) - (sqrt(931) + -5 + -4 + sqrt(931))**2))*6 + -5)*-6*2.\nAnswer: -18648*sqrt(19) + 206988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, 0.2, -2\/3, -1\/9, -440.6, -6, -0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-1968)\/112 - -19. Which is the third biggest value? (a) w (b) -2\/67 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1575541 is divided by 112530?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*k, 0*s - 4*k = 5*s + 5. Suppose -s*f + u - 2*u + 127 = 0, -5*u = -f + 53. Suppose h - 3*d - d + 3 = 0, 0 = -3*h - d + f. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5115 a factor of 608973098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -353 + 441. Let n(c) = -4*c**2 + c + 12. Let b be n(5). Let x = v + b. Solve -y + x*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2334393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -19983+26.3\nAnswer: -19956.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j + 0 + 1 - 3. List the prime factors of u(2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -27.2 (b) -5 (c) -0.4 (d) -0.2 (e) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480410?\nAnswer: 2, 5, 7, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**13)**(1\/25)*((i*i\/i**(-8))\/i)**(17\/3))**(2\/91) assuming i is positive.\nAnswer: i**(368\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**3 + 9*z**3 - 11*z**3 + 5. Let p(o) = -2*o - 9. Let j be p(-7). Let f(r) = 9*r**3 + 24. Determine j*f(h) - 24*a(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 - 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/2*(-1)\/1. Suppose 14*t = 348 - 124. Suppose 2*j = -p*a + 2 + 10, -3*j = 5*a - t. What is the remainder when 11 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/4 and 97\/13076?\nAnswer: 13076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -539 * 2507.\nAnswer: -1351273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - c**3 - c**2 + 24*c**4 - 12*c**4 - 11*c**4 as w*c**2 + o + g*c**4 + z*c**3 + t*c and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -737*y**2 + 369*y**2 + 366*y**2 - 1148763.\nAnswer: -2*y**2 - 1148763","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 883966879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -20222211?\nAnswer: -20222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 3861?\nAnswer: 3862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - sqrt(180)) + 1)**2 - sqrt(60)\/((-2*sqrt(120))\/sqrt(10)).\nAnswer: -11*sqrt(5)\/2 + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 7:45 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1932 - -29008\/15. Let m(b) be the second derivative of -4\/9*b**3 - c*b**5 - 10*b - 26\/45*b**6 + 0 - 17\/9*b**4 + 0*b**2. Solve m(l) = 0.\nAnswer: -1, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 19 + 119. Solve 2*b - m = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 10*h - 4. Let k(t) = 5*t - 2. What is -9*k(s) + 4*y(s)?\nAnswer: -5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 1082?\nAnswer: 8656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -9 - (5 + 36 - 17).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.5878812905 and -61?\nAnswer: 59.4121187095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 43406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 - 4 - (157 - 157)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by -2441\nAnswer: 25\/2441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.60792 and -2902.\nAnswer: -2899.39208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 229322 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19531456 a multiple of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*l - l - i, 2*i - 3 = l. Suppose 4*d = l + 9. Is ((-106)\/d)\/((-5)\/10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -131 - -135 - 6\/4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24631 and 88.05.\nAnswer: -2168759.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 15*t - 14. Let s be o(12). Suppose s*b = 91*b + 12. Solve 6 = -b*j + j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6467832 and 1616958.\nAnswer: 6467832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-21)\/14 + -6 - -5)*-2 + -1. Let x = 13 - 8. Solve h*v = x + 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 + 33*z\/2 + 1089\/4.\nAnswer: (z + 33)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.424 + 314.576. Let j = b + -314.9. What is the second smallest value in -1\/7, j, 109\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*k + 14*k - 26*k)*(-6 - 8 + 3 + (-4 - 1 + 3)*(3 - 1 - 3)).\nAnswer: -261*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -254, -921, -1984, -3437, -5274, -7489, -10076, -13029?\n\"Answer: b**3 - 204*b**2 - 62*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 0)*(3*h - 4*h + 3*h)*(6 - 3 - 1) in the form k*h + c and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*w**5 + w**4 - 100107*w**3 - 26583*w**2 + w - 12?\nAnswer: -300*w**2 + 24*w - 600642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 divided by 4.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/15)\/(4498\/(-404820))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**6\/5 - 3*q**4\/2 + 515*q**3\/2 + 2149*q. What is the second derivative of d(h) wrt h?\nAnswer: -72*h**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = z - 2496 - 4992, 5*z - 20 = 0. Let l = -1084 + s. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 0*h**2 - 2*h**2)*(3*h + 0*h + 0*h) + 4 + 2*h**3 - 4.\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 5*x + x)*(-18*x**3 - 10*x**3 + 6*x**3) - 8*x**3 + 8*x**3 + 17*x**4 to the form g*x**3 + t + c*x**2 + m*x + j*x**4 and give j.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, -483, -1530, -3007, -4920, -7275, -10078?\nAnswer: -13335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3035, -1056, -12193, -33910, -69741?\n\"Answer: -589*h**3 + 11*h**2 - h + 3614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -0.35 (c) 0.89 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 85*n - 9. Is v(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 35*c**2 - 310*c + 402. Calculate i(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.86707567 + 6.2670759. Let n = -0.4 + a. Round n to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011111001011100 (base 2) to base 12.\nAnswer: 3b1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + z = -2*z - 20, c - 8 = z. Let m be (6 + 0)\/(-3)*-3. Suppose -m = -c*g - 34. Let h(x) = -2*x - 8. Determine h(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 6:10 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -t + 2, 0 = -3*t - 4*s + 9 - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 97.55\nAnswer: 97.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*g**2 + 19676*g - 3576.\nAnswer: -4*(g - 447)*(11*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000297928754 rounded to 6 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6576180, 13152356, 19728532, 26304708?\nAnswer: 32880884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u**3 + 0 + 0 + (1 - 1 + 2*u)*(-2*u**2 + 3*u - 3*u))*(-5 + 13 + 2 + (0 + 2 - 3)*(3 + 4 - 3) + 2 - 2 - 1) to j*u**2 + n*u + i*u**3 + z and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2922 from 1759050697.\nAnswer: 1759047775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3539.81655 to the nearest 10.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + r - 5. Let n(i) = -i + 1. Let x be n(-3). Suppose x*z = -5*t + t - 12, -4*t + 12 = -2*z. Determine q(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -9*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 9*l - 13. Let r be x(-9). Let a be (1\/1)\/(1\/r). Let i = a - -15. Is 0 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + 0)\/((-6)\/(-3)). Let z be 4\/8 - (-37)\/j. Solve 0 = 4*c + 3 - z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - w**2 + w + 4. Let z be x(-3). Solve 2*k = -5*y - z, -5*k = y + 8 + 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6))\/(21\/(-378)). Suppose -1 - 89 = -a*w. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(78)*1)\/(sqrt(72)\/sqrt(48) + sqrt(6)).\nAnswer: -8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 3:47 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s - 16 = -4*u - 23*s, 0 = u - 3*s + 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 4429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 6 + 15)*(1 + 0 + 1)*(-5*y + 2*y + 4*y).\nAnswer: 118*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - 6*j**2 + 3 - 8*j**2 + 3*j**2 - 10*j - j**3 + 12*j**2 as x*j**2 + l*j + m*j**3 + o and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 0 + 0)*(-2 + 2 - 2) + 0*b**3 + b**3 + b**3 + (-153 + 68 + 226*b**2 + 86)*(2125 - 2125 - 4*b)*(-2 + 4 + 0).\nAnswer: -1804*b**3 - 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -9 - (-13 - (10181 - 9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 12*x - 24, 8 = 24430*p - 24426*p - 4*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -2*l + 7 - 13, 4 = -2*b - 3*l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 72 times 1\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -13*i + 3. Let w(y) = 3*y + 0*y + 2 - 4 + 6*y. Determine -5*t(o) - 7*w(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 6*x**2 + 9*x + 16. Let v be m(-7). Factor 3\/2*w**v + 3\/2 - 3*w.\nAnswer: 3*(w - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4011 divided by -5.\nAnswer: -4011\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**2 - 26 + 26.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(637) + sqrt(637) - (-2 + 2*sqrt(637) + sqrt(637)))**2.\nAnswer: -70*sqrt(13) + 662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -213312033 (base 4) to base 3\nAnswer: -22021220000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + 64. Let g(r) = -r**3 - 3*r - 2. Let f = -50 + 49. Let z be g(f). What is the highest common divisor of z and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 2*j**2 + 2*j - 3. Let l be r(-3). Factor -1\/2 + 0*w + w**2 - 1\/2*w**4 + l*w**3.\nAnswer: -(w - 1)**2*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*w**3 - w - 2*w**3 + 14*w**4 - 17*w**4 to c*w**2 + s + p*w + m*w**3 + j*w**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -16*b - 2. Let p(w) = -w**3 + 8*w**2 - 4*w - 5. Calculate the remainder when v(-2) is divided by p(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12011101 (base 3) to base 7\nAnswer: 13654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((100\/6)\/(-2))\/((-7943)\/(-23829)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 17 = -f, 117*n = 122*n + 20 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.7 and -0.3.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1420591\/12 - -118374. Find the common denominator of x and (-2)\/(-5) + 1217\/(-2030).\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - -18664?\nAnswer: 18677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -9*t**2 - 502*t + 33. Let p(n) = 8*n**2 + 503*n - 28. Determine -6*f(z) - 7*p(z).\nAnswer: -2*z**2 - 509*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*3*12\/(-18). Suppose 289 = h*r - 4*p + 93, -r + 4*p = -108. Let t = r + -63. Solve -2*g + 0 - 3 = a, -5*a = t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/7, -3, 2\/19, -56?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61.21 + 61.21000017525. What is k rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 8*w - 24. Let i be u(5). Let t(o) = 3*o**2 + 3*o - 1. Let r be t(3). Let m = i + r. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -9489\/4376 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49348 and 146.\nAnswer: 49348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 13. Let g(d) be the first derivative of 0*d**2 - 1 - 1\/9*d**3 + l*d. Factor g(a).\nAnswer: -a**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -u - 23. What is the remainder when 35 is divided by 91\/5 + 4\/u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61 - (-26 + 12 + 3 + 12)) + -15.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 43600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.4, -12742089.4 in descending order.\nAnswer: 0.4, -1, -12742089.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5688*w. Let s(c) = 895*c**2 - 10*c + 2. What is s(l(o))?\nAnswer: 28956242880*o**2 - 56880*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47 - 46 - (-1 - 4) and 1659.\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 37. Calculate the greatest common factor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(605) + sqrt(605)*4 + sqrt(605) + sqrt(605) - sqrt(605)) + 4 - (sqrt(605) + (sqrt(605)*4 - sqrt(605)) + -5))*-1)**2.\nAnswer: 14256*sqrt(5) + 90036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**2. Let q(r) = -r**3 + 7*r**2 + 6*r - 62. Let a be q(6). Let n(x) be the first derivative of 0*x + 9\/2*x**2 - a. Calculate j(n(h)).\nAnswer: -324*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 818 + (-24)\/30 + (-8)\/(-10). Suppose -o = -8*w + 1486. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i + 10236569 = 2732030. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1821*n + 1832*n - 209 = 0 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -47, -14, 53, 166, 337?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/((4\/(-1))\/4). Let y(s) = s + 24. Let k be y(v). Let g be k\/56*4\/(-6). What is the second smallest value in g, 7, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 707, 363, -213, -1021?\n\"Answer: -116*u**2 + 4*u + 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 + -66. Put -2, 9, f in increasing order.\nAnswer: -2, 9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2996 - 2886. Let l = -4 - -41. What is the remainder when v is divided by l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2341568, -2341564, -2341558, -2341550, -2341540, -2341528, -2341514?\n\"Answer: w**2 + w - 2341570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + 34 + -1 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15936 divided by 166\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-426)\/(-15) - (-6)\/(-15)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 31, -2119.\nAnswer: -2119, 14, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 377 = 93*f, -f + 64*z = 62*z - 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 695814 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1839 divide 48514659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**9\/9072 - m**8\/2880 - m**7\/3780 + 5*m**4\/8 + 20*m**2. Let c(r) be the second derivative of p(r). Factor c(o).\nAnswer: -o**2*(o + 1)*(5*o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/85)\/((-4)\/(-60))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.79005 - -0.07695. Let x = -0.033 - c. Let u = 9 + x. Which is smaller: -0.02 or u?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 + 2)*(-19*a + 6*a - 2*a) - 23 + 5*a + 23 - 6*a + 0*a - 2*a in the form g + v*a and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -983*f = -995*f - 228. Which is the fourth smallest value? (a) -0.5 (b) f (c) 1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.1 (c) -24 (d) -2\/31 (e) 2 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = h + o, 0 = -5*h + 3*o + 30 - 4. Let v(t) be the second derivative of -3*t + 0*t**2 - 1\/30*t**h + 0 - 1\/15*t**3. What is y in v(y) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4 - 59178*c**3.\nAnswer: -3*c**3*(c + 19726)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**2 + 5605652*r. Let j(w) = -9*w. What is j(o(g))?\nAnswer: 27*g**2 - 50450868*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 469881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = q - 5*p, -40*p + 44*p = 0. Which is smaller: q or -2934?\nAnswer: -2934","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**2 + 29541*t - 59070 = 0. What is t?\nAnswer: 2, 9845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*w + 22*w. Put w, -4, -14, 4 in descending order.\nAnswer: 4, w, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p**3 - 48*p**2 - p + 10. Let r(t) = -2*t**3 - 24*t**2 - t + 4. Give 2*d(o) - 5*r(o).\nAnswer: 2*o**3 + 24*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l. Let u(h) = -29*h**2 - 3. Let k(n) = n**2 + 1. Let i(d) = -52*d**2 - 1. Let y(a) = -i(a) + 6*k(a). Let g(w) = -7*u(w) - 3*y(w). What is m(g(o))?\nAnswer: 29*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2198, -2066, -1846, -1538, -1142, -658?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 16902336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/10*(-30)\/1. Let c = -76 + j. Let x = 8 - c. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 44. Let t = 16 + -15. Let j(r) = 6*r - 2*r - t - r**2 + 0. Give j(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585346706?\nAnswer: 2, 7, 67, 624037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1414871 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24888?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16.8 from -459026.\nAnswer: -459009.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -315*w + 53. Is h(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 400, 4, 1 in ascending order.\nAnswer: -5, 1, 4, 400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 596712.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 8*d - 3. Let i(r) = r**2 - 5*r. Determine i(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 18 - 22 = 0. Suppose -p*w - 220 = w. What is w rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003478 rounded to 7 decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 4. What is the remainder when 3 + 59 - (d + 0) is divided by (-3)\/(-12) - ((-5260)\/400 - (-2)\/5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 42*r**2 + 4227*r - 1506. Calculate b(-101).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) 0 (b) 0.4 (c) 5 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, -6.5, -5 in increasing order.\nAnswer: -6.5, -5, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*u = 33*u + 105. Suppose 3*m - u*m + 12690 = 0. What is the greatest common factor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 403 and 8672963.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90103 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-78) - 3474\/(-234). Suppose -5*s + 6*w + 7 = 5*w, 3*s = 2*w. Solve l + s*l = t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116256 and 1046304.\nAnswer: 1046304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 129.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**3*u*u)\/u)\/(u*u**6\/u))\/(u**(-2\/5))**38 assuming u is positive.\nAnswer: u**(76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -60*y + 175. Let j be n(3). Let t(w) = -66*w**2 - 5. Let v(p) = 429*p**2 + 33. Calculate j*v(l) - 33*t(l).\nAnswer: 33*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n - 6*n - 1 - 4*n as s*n + w and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from wwiuu.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 887 = -147. Suppose -3*b + l = y, -4*y + y - 4*b + 424 = 0. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -3*v. Let p be 0*(3 - v)\/1. Is 255 + 3 + (-1 - p) + -4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -37*n**2 + 44*n - 44. Give l(1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - f. Suppose u = 5*y - 23, f*u = 2*y - 5*u. Solve -2*c + y*o = -21, 2*c = -0*o - 3*o - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/(t*t**(-16\/9))*(t**(-1)*t)\/(t*t**(-1\/11)))**(-50) assuming t is positive.\nAnswer: t**(-9250\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21168 is divided by 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.275 and 0.1.\nAnswer: 0.0275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((6 - 0) + (0 - (-4 - -9)) + 76).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 a factor of 120379420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + -1)*-6 - (1 + sqrt(2736) - sqrt(2736))*-3.\nAnswer: -72*sqrt(19) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1041 (base 8) in base 10?\nAnswer: -545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 3\/(-5 - -6). Let m be 4\/(-6) - 800\/(-12). Is m - n\/(-2)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 126 + -123. Find the first derivative of -11*b**v - b + b - 8*b**4 + 8*b**3 + 50 wrt b.\nAnswer: -32*b**3 - 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-56)\/10)\/7*5\/(-2). Let k(p) be the first derivative of -p**3\/2 - p**2\/2 - 7*p - 22. Let n(g) be the first derivative of k(g). Determine n(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w**2 + 244 + 28*w**3 - 249 + 47*w**3 + 21*w**2.\nAnswer: 75*w**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -4. Let o = -3.25 + g. Let s = -0.05 + o. Which is the closest to 1? (a) 3\/5 (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (46 - 43 - -48).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/(-18) + 4\/((-24)\/22). What is the nearest to -1 in 0.01, -16, u, 2\/5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*j - 23838911 - 13321417. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -8. Let c(v) = v**2 + 4. Let x be c(i). Calculate the greatest common divisor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*y + 10, 4*y = -3*j + 73. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -7*w**3 + 12*w**2 + 40*w + 3. Let b(y) = y**3 - 1. Let l(j) = 3*b(j) + z(j). Factor l(v).\nAnswer: -4*v*(v - 5)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 + 37*n + 23. Let f(g) = 2*g**2 - 13*g - 12. Let p be f(6). Let c be m(p). Solve 0*t = c*b + 2*t + 29, 0 = -4*b - 4*t - 28 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 20. What is the nearest to 1 in j, -4, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.106 + -1\nAnswer: 0.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/4053, 0.1, -2\/31, -1\/3 in ascending order.\nAnswer: -1\/3, -2\/31, -2\/4053, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2786.8638753756 - -0.0254146244. Let o = a - 2788.4. Let f = 1.51 + o. Round f to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((8 + -3 - -8) + 15).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3781321, 7562628, 11343935?\nAnswer: 15125242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 - -49. Let y be (60\/x)\/(3\/30*2). Solve 0 = -y*w - f - 4, -2*w + f = -0*w + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 56667, 113573, 170483, 227397, 284315?\n\"Answer: 2*b**2 + 56900*b - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 1. Let u(c) = c**2 - 16*c + 47. Let z(a) = -6*i(a) + u(a). What are the prime factors of z(22)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2999660 divided by -33?\nAnswer: -2999660\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.2473*-2.5.\nAnswer: -13.11825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32640 divided by 102.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**3 + 5*n**2 + n + 3. Let k be i(-5). Let d = -10 - k. Calculate the highest common factor of 22 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1981 - -1956. Put j, 0.02, -0.4 in decreasing order.\nAnswer: 0.02, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35*(-18)\/(-135))\/(41\/(-246))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 759*n**3 + 768*n**3 - 1521*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 140\/56*((-3)\/(-10))\/(-1)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1869 = -38*a + 615. Is -56 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17\/36 + -2\/9. Which is the second biggest value? (a) 1\/2 (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**5\/2 + 36*u**4 + 75*u**3 - 432*u**2 - 945*u\/2 = 0. What is u?\nAnswer: -21, -5, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((47 - 42) + (-553)\/112)\/(2 - (-183)\/(-90))\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100111 (base 2) in base 6?\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*h + 4*v + 7356, -h = 5*v - 1448. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.65 - -1.67. Let b = 59.72 - w. Let c = b - 56. Which is bigger: -1\/4 or c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -25. Is -2 - (3 + d) - -47 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 496 = 26*s + 5*s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 60*l = -17*l - 192660. Is 65 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -23*g**3 + g + 1. What are the prime factors of l(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8713*r - 4301*r = 4368*r - 1584 for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31 + 36 + 42)*(0*s + s + 2*s) to b*s + i and give b.\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p**2 - 6*p - 1. Determine t(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-230)\/210*(-564)\/92966.\nAnswer: 2\/301","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 7056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 - 152 - -62 - -75?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 1 - -4) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 - 14*w - 11. Let a be q(-6). What is the second biggest value in 1.7, 0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/158734440 and -31\/3146088?\nAnswer: 1746078840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1585 divide 1497478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4, -g + 4*d = -0*g - 17. Let l be 2\/2 - (g - 12). Suppose 0 = 6*t - 2*t - 12. Solve -t*r = 3*u - l*u - 2, 3*u - 6 = 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 3*p + 12. Calculate j(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/476 and 25\/588.\nAnswer: 9996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z - 51. Let w be s(11). Suppose 2*p + w = 15*p. Solve -p*d - 6 + 8 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1705 (base 8) to base 5\nAnswer: 12330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r - 20. Let y be k(11). Let n(f) = 2*f**2 - f - 2. Let u be n(-2). Factor 3*m**3 + 4*m**4 + 5*m - 7*m**y - 5*m**2 + u - 7*m**3 - m.\nAnswer: 4*(m - 2)*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-1)\/5) + 18\/(-2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -334 - -759. Is d equal to 426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3)*-3*11. Calculate the common denominator of -1 + 1*4 - 856\/160 and v\/32 - 1\/(-2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/6 - 302*t - 136806 = 0 for t.\nAnswer: -906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 2*p. Let r be a(-2). Let f(m) = -m**3 - 9*m**2 + 8*m - 13. Let z be f(-10). Solve r = 4*k - 13 - z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**2 + 15 - g - 1 - 6 - 7 as l*g**2 + s*g + b and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089202 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -42.4 and 0.339593?\nAnswer: 42.739593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4275470, -8550940, -12826410?\n\"Answer: -4275470*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdllkkh. Give prob of sequence llx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (45678\/4500 - 180\/(-11250))\/(1\/2)?\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115997 is divided by 3866?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c = -88 + 88 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 + -449931 - -5)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h**5 - 108*h**4 - 264*h**3 + 268*h**2 + 1152*h + 720 = 0.\nAnswer: -10, -3, -3\/2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-189))\/((98\/105)\/14).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 + 0*z**2 + 0*z**2 + (-6*z - 3*z + 7*z)*(0*z**3 + 2*z**3 - 6*z**3) + (z - z + 2*z)*(3*z**3 - 3*z**3 + 2*z**3) + 66 - 66 + 23*z**4.\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w - 2*w + 3*w)*(68 - 151 + 49)*(-5*w + 4*w + 3*w + (0 + 6 - 4)*(-415*w + 420*w - 316*w)) as d*w + l*w**2 + o and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 252 + 3?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3. Let x(r) = -r + 5. Let c(a) = -5*j(a) + 3*x(a). Let w(v) = 4 - 3 + v - 1. Give w(c(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27325 = 21*a - 20933. Does 89 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 - (1 - ((-3)\/1 - 3)) is divided by 88.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/4))**37)**15 assuming u is positive.\nAnswer: u**(-555\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 5*l = 145, -72843*l = 2*f - 72838*l - 65 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 55 + -2 - 56.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4679, 9374, 14071, 18770, 23471?\n\"Answer: t**2 + 4692*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwe when four letters picked without replacement from eewwwweweweewewwweew?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, k: 7}. Give prob of sequence mkmm.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by -46.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 8:24 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 117.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -661 + 673. Let p(v) = v**3 + 9*v**2 + 2*v - 12. Let z be p(-9). Let q be (-355)\/z + (-1)\/(-6). What is the highest common factor of q and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-14)*(-80)\/(-180)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - q**2 - q + 19. List the prime factors of a(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14510716?\nAnswer: 2, 11, 329789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 802 greater than -872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**6\/75 + 37*j**5\/50 + 77*j**4\/15 - 64*j**3\/5 - 13*j - 249. Factor s(x).\nAnswer: 2*x*(x - 1)*(x + 6)*(x + 32)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -45*c**2 - 13 + 34*c**2 + c**3 - 2*c**3 + 18*c**2 - 3*c. Let y = -6 + 10. What is the remainder when n(6) is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45 + 410?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k + k)*(-1 + 5 - 1)*(4 - 3 + 1).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 29 = 44, 0 = 4*u - o + 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 2)*4 + 1083. Suppose 0 = s - 4*j - x, 4*s - 2*j = -6*j + 4348. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -10296*f - 175017. Determine n(-17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -45351 (base 7) in base 11?\nAnswer: -8707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -10*x + 2. Let i = -2 + -1. Let u be l(i). Suppose 2*a - 4*a + 4 = 2*k, -2*a + u = -5*k. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 5*g - 3. List the prime factors of (41\/1)\/(g + -9).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 23960*y + 3. Let p(l) = 11*l**2. What is v(p(w))?\nAnswer: 263560*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 (base 14) in base 13?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1274, 1231, 1188, 1145, 1102, 1059?\nAnswer: 1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.632 + 344.132. Let h = -56.9 + n. What is h rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1747 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 5*r = -5, -6*i + 46 = 5*r + 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/((-40)\/(-3360)*42).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 5:28 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 2\/5 (c) 1 (d) -0.3 (e) 0.903\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/99)\/((-10)\/30).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6080*t + 2303.\nAnswer: -6080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643478421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 + a**2 - 4*a + 6. Let o = -103 + 100. Does 9 divide u(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + h + 15 = 4*h, 0 = -5*l - 5*h + 25. Suppose -g + 4*u = -u - 48, l = -5*g + u + 120. Suppose g = 3*d - 34. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(12) + sqrt(972)) - sqrt(17))*-3.\nAnswer: 27*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -38, -79, -120, -161, -202?\n\"Answer: -41*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 40 = -0*t. Let r be (58\/(-5))\/(4\/t). Let p = r - 16. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/83 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h. Let t(g) = 611*g**2 + 31024. Determine l(t(w)).\nAnswer: -1222*w**2 - 62048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 - 464 + 464 + 9*j**2.\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 13*w + 6. Let j be m(-6). Suppose 7*x - 2*x = -2*s - 23, -4*x = 3*s + 24. Let o be ((-1)\/x*1)\/(79\/474). Solve -n - j = o*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 3 + 4. Let x(w) = -5*w**3 - w**2 - 2*w - 1. Let n be x(d). Let q = -32 + 35. Solve -n*c + q*c = 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696399328 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -22. Let w be ((-2)\/c)\/(3\/(-42)). Let h(p) = 5*p**3 - 5*p**2 + 11. Is h(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2\/7))**(2\/133)\/((u*u*(u\/(u**3\/u))\/u)\/u**(-1))*(u\/u**(-1))**13*(u*(u\/(u\/(u\/(u*u**(-2\/27)\/u)*u)))\/u*u)\/u*u*u**(-2) assuming u is positive.\nAnswer: u**(655910\/25137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 634, 2, 125 in decreasing order.\nAnswer: 634, 125, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**4\/12 - k**3\/3 + 3*k**2\/2 - 20*k. Give m(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4752809081 to the nearest integer?\nAnswer: 68941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100 - -20. Let u be 584\/f + -5 + (-25907)\/(-15). Suppose u + 220 = 11*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -616*g + 17840. Determine w(29).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iir when three letters picked without replacement from {r: 1, c: 1, u: 1, w: 1, i: 2, b: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 4:23 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786751064.\nAnswer: 2, 11, 23, 388711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -68 (b) -11 (c) 356\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 5:56 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 724\/2387 - 6\/341. What is the nearest to -2\/91 in o, -3, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**0*c)\/c**16 assuming c is positive.\nAnswer: c**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.9437 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 188 (base 9) to base 8\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-one quarters of a microgram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -145 - -163. What is the greatest common divisor of z and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 32704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 0.2, 0.1, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-54)\/8*48\/(-14). Suppose -7*l + 15 = -4*l + 4*q, -5 = -l + 3*q. Factor d*c**4 + 16\/7*c + 88\/7*c**2 + 180\/7*c**3 + 54\/7*c**l + 0.\nAnswer: 2*c*(c + 1)*(3*c + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a12 + 5?\nAnswer: 8a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 418.8 - 422.8. Let d = 0.6 + 0.4. What is the closest to d in -1\/2, -1, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17583.4 + 17584. Which is greater: p or -2169?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -17*(1410\/987 + (-212)\/70). What is u in 28\/5*u**4 - 16\/5 - 16*u + 204\/5*u**2 - c*u**3 = 0?\nAnswer: -1\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.118 + 21.118. Let y = -20.99999675 + x. What is y rounded to seven decimal places?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 24836787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -56199497, -3 in increasing order.\nAnswer: -56199497, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 8 - (-2 - (0 + 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -52*w + 7. Let s be l(-1). Let x = 258152\/7 - 36938. Let t = s + x. Which is the second biggest value? (a) -1\/4 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -219 at most -219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 186599076 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/3 + (-3601)\/390 and -49\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*j = g + 83*j + 17, 36 = -5*g - 3*j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 204*m**2 + 1542*m + 1744.\nAnswer: -2*(m - 8)*(m + 1)*(m + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -w + 1407, 5*q + 0*w - 3516 = -4*w. What is q rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-131)\/(-6) - 3 - 31044\/4776?\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21810316 is divided by 2765.\nAnswer: 2761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 1. What is m(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2140 + 110043231?\nAnswer: 110045411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 7, -40, -8 in increasing order.\nAnswer: -40, -8, -0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 9*y - 4 + 3\/2*y**2. Differentiate v(j) with respect to j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 296*f**3 + 1285*f + f**4 - 1288*f - 2*f**2 - 301*f**3 as z*f + x*f**3 + c + r*f**4 + i*f**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o. Let l(y) = 4*y**2 - 486008*y - 1. Calculate l(m(a)).\nAnswer: 4*a**2 - 486008*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 287 - 203. Suppose 4*p = -72 + y. Solve -g - 20 = 5*n, -p*n + 10 = 5*g + 44 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/((sqrt(165)\/sqrt(3))\/sqrt(11)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6039.\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 4 + -2 - (1 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(448)*-1 + -4 + -1 + sqrt(448))**2 + (-4 + sqrt(448) + sqrt(448) + (0 + sqrt(448) - sqrt(448))**2)*-5 + 3.\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 709190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + l**2 - 3*l + 3*l)*(-2*l**2 + 5*l**2 + l**2).\nAnswer: 4*l**4 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1319*p + 4699*p + 2323*p + 142575 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 20*m**2 - m - 4. Let a be n(2). Suppose -30 = -8*w + a. Let z be w - (-8)\/(4\/1). What is the greatest common divisor of z and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibmfmhb. What is prob of sequence fmhm?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 - 3*r**2 + r - 2. Let a be v(2). Suppose 0 = 2*j - j + 3*w, 0 = -j + w + a. Find q, given that 2*q - q**5 - j*q + 2*q**3 + 0*q**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 - -5766556?\nAnswer: 5766573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5313 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 319 - 94. What is the lowest common multiple of c and 25?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*f**2 - 191*f**2 - 56*f**3 - 30*f**3 + 35*f**2 + 27*f**2.\nAnswer: -86*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 282975 and 55440?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1630473 + -1080613. What is g rounded to the nearest 1000?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -130969\/11 + 11906. What is the closest to 4 in -2\/17, b, -2\/7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 9 (b) -10 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 2. Let i(h) = -h**2 + h + 1. Let m(o) = 4*i(o) - 3*l(o). Let f(j) be the first derivative of m(j). Differentiate f(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -561 or -128298\/229?\nAnswer: -128298\/229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/21 - (13 - 1196\/91).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*a**5 - 285*a**4 - 685*a**3 - 17670*a**2 + 110.\nAnswer: -240*a**2 - 6840*a - 4110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-10)\/(t**(2\/3)*t))\/(t**(-1\/5)*t)**(2\/3))**(-44))**(-34) assuming t is positive.\nAnswer: t**(-91256\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**2 - 2*w + 2. Calculate u(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 5*u - 3. Let x be v(6). Suppose x*y - 17 = 13. Suppose -y = -6*q + q. What is the remainder when 2 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-387.57246\nAnswer: 1937.8623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3 = 282*w - 279*w, -30 = -3*w + 5*n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 194\/18533 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -418*d**2 + 19*d + 11. Let c(u) = -424*u**2 + 20*u + 12. What is 12*c(z) - 13*v(z)?\nAnswer: 346*z**2 - 7*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - (-5 + -4)) + 14\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/36? (a) -100 (b) -2\/27 (c) -0.1 (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.61 - -21.1. Let s = t - -0.51. Let a = 89\/39 + -21\/13. What is the closest to 0.1 in a, -2\/3, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*i - 472 + 562 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -11011010100000101111111?\nAnswer: 11011010100000110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 r when three letters picked without replacement from {r: 2, w: 1, h: 2, e: 4, g: 2, k: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 60 = -4*j, -5*j - 32 = -4*z - 89 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1954*l - 1040*l - 821*l.\nAnswer: 93*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.064 + -1.996. Let n = c + 0.06. Let m = -1\/10 + -2\/5. Which is greater: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -22013*k. Let c(s) = -4*s. Give c(w(y)).\nAnswer: 88052*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3187.136 years to millennia.\nAnswer: 3.187136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 12) to base 3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12 = 5*h - 23, 2*p + 10 = 0. Suppose 0 = 136*g - 83*g - 265. Suppose 10 = -h*o - 10, j + g*o - 145 = 0. List the prime factors of j.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -583\/6 - -575\/6. Which is the smallest value? (a) -0.2 (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 156.4 + -197. Let c = p + 35.27. Round c to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101322, -202655, -303988, -405321?\nAnswer: -506654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -930 times -0.1?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11221122 (base 3) in base 7?\nAnswer: -13343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -0.8 (c) 62\/11 (d) 1 (e) 22 (f) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3189 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4*s + 16 = 0, -3*t + 2*s + 4 = 4*s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, -18, 1, 2, 10 in decreasing order.\nAnswer: 10, 2, 1, -5, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/4)\/(i\/(i*i*i**(-1)))*(i*((i**0\/i)\/i)\/i)**(-1\/8) assuming i is positive.\nAnswer: sqrt(i)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110985270 and 3580170.\nAnswer: 110985270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -9*c**3 - 7*c**2 + 27*c - 20. Let a be v(9). Let q = 82991\/12 + a. Calculate the common denominator of q and 89\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13245602 is divided by 2414.\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 432*p**2 + 555 wrt p.\nAnswer: 864*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57176039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2934054 and 45?\nAnswer: 14670270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q - 22. Let g(a) = -1310*a. Calculate g(u(w)).\nAnswer: 5240*w + 28820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 - 52 + 167 - 2*j**2 - 57.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -18, -30, -70, -5 in descending order.\nAnswer: -5, -14, -18, -30, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -11*x + 3. Let d be m(-3). Let l(t) = 29*t**3 + t**2. Let k be l(1). Suppose -3*r = -6 - k. What is the greatest common factor of d and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 921 = 5*s, -5*s = -8*s + k + 553. Is s a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 14 = -u + 13 - 67, -7*a = -21*u + 56 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110101 (base 2) in base 6?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30750770*2\nAnswer: 61501540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 26 = 2*i, -2*i + 1606 - 1612 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2225636*v - v**2 - 1113121*v + 2*v**2 - 1112813*v.\nAnswer: v**2 - 298*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 41 * -1535.86\nAnswer: -62970.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/4 - ((-108)\/16)\/1. What is the highest common factor of 36 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 9*w, -4*w = -3*m + 915. Suppose -7*q + 3*a = -2*q - 32, 4*a + 20 = q. Suppose -q*t = t - m. What are the prime factors of t?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.17 + 289.57. Round l to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134718818.\nAnswer: 2, 13, 1039, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7895 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 0) + -20 + 17 - (-37 + 41).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9289 is divided by 3093?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n - 12. Let a be t(3). Let b(u) = -11*u + 80. Let r be b(a). Solve r*z + 12 = 18*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z**2 + 33*z + 65. Let b(g) = 2*g**2 - 11*g - 22. Let k(d) = -11*b(d) - 4*t(d). Is 33 a factor of k(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**8*s**(-3))\/(s\/(s*(((s\/(s**(5\/6)\/s))\/s)\/s)\/s*s)*s**(2\/5)) assuming s is positive.\nAnswer: s**(173\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -51*b + 20. Let s(d) = 2*d - 38. Let t be s(16). Let g be h(t). Suppose -g = -5*w - a, w + 0*a = -3*a + 68. Is w a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**5\/6 + 15*q**2\/2 + 1. Let c(l) be the second derivative of n(l). Let g(a) = -2*a**2. Determine g(c(b)).\nAnswer: -200*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2))**(-24)*g**(1\/4)*g*g**7)\/(((g*((g*g*g\/(g**7\/g)*g*g)\/g*g)\/g)\/(g\/(g**(-2\/9)*g*g)*g))\/(g**(1\/8)*g**(-6))) assuming g is positive.\nAnswer: g**(3715\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**5\/5 + 23*r**4\/5 + 192*r**3\/5 + 104*r**2 + 592*r\/5 + 48 = 0.\nAnswer: -2, -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 11. Find the third derivative of -48*k**3 + 6*k**2 - 41*k**2 + n*k**3 wrt k.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 4*x. Let h be a(0). Suppose h = -3*i - 41 + 569. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22882*589.\nAnswer: -13477498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/3)*v\/(v*v**(-3\/5)\/v*v))**(1\/54) assuming v is positive.\nAnswer: v**(-11\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuyyacuccubycusyyucs. Give prob of sequence ccbc.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -15*y - 275. Let g be w(-19). Solve -12*j - 26 - g = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from penqnnjpnn. What is prob of picking 1 q and 2 p?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f + 10. Let o(v) = -v - 1. Calculate -6*o(i) - w(i).\nAnswer: 3*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 383507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, 0.5, -14, -2, 1\/38?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186033672 by -648.\nAnswer: 287089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + g = -5, -488*v + 20 = -494*v + 2*g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7455 + -3\nAnswer: -7458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -2\/21*p**7 - 19\/2*p**2 - 2 - 1\/30*p**6 - 1\/12*p**4 - 43*p + 0*p**5 + 0*p**3. What is the third derivative of z(i) wrt i?\nAnswer: -240*i**2 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.02, -0.3, -3\/13?\nAnswer: -3.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, y: 11}. Give prob of sequence sssy.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -1011032313233?\nAnswer: 1011032313312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.21, 279.\nAnswer: -0.21, 0, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*((sqrt(931) + 0 - sqrt(931)) + -5)*-5 + 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.9991 to 1 decimal place.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 19*s = 475, -4286*s - 25 = -5*b + 2*b - 4285*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/81 - (-472)\/1008.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 4254 - 18294. Round s to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 - 3.07. Let l = -1.9669 + 2.6669. What is the nearest to 9 in u, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20790)\/24255)\/((-6)\/(-4)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/2 - 1739*f - 3476.\nAnswer: -(f + 2)*(f + 3476)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 651925?\nAnswer: -651926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u - 6, -2 = -2*a + 5*u. Suppose -3*l = -0 - a. Let x(i) = -i**2 + 182*i - 709. Let n be x(4). Solve l*h + n = 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2 = 8. Let f(q) = q**3 - 2*q**2 + q. Let y be f(m). Suppose 4*a = -y, 2*p - p + a - 5 = 0. Solve -4*g = 8 + p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2499771*v**3 + 2595254*v wrt v.\nAnswer: 14998626*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2, 2\/13, 8.\nAnswer: -0.4, 2\/13, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121 - -56. Let a = u - -64.82. Let r = 0.12 - a. What is the third biggest value in 3\/4, r, 0.6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 43*b - 368 - 134 + 504. Let x(d) = -22*d - 1. Determine -4*p(n) - 9*x(n).\nAnswer: 26*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 184491 (b) 0.11 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1331 - -1347. Is -7 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381513217.\nAnswer: 19, 2281, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5191*r*y**4 + 169*r*y**3 - 503362*r*y**2 - 9*r*y + y**4 wrt y.\nAnswer: -124584*r*y + 1014*r + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3818 and 7962439.\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-541)\/(-4) + -2 + (-28)\/(-16). Suppose 3*p + 0*p - o = 0. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 1184639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/24 + 13\/3. Suppose c = 2*u - 30, 0 = 3*u - u + t*c - 40. Suppose 21*a = 17*a - u. What is the biggest value in -2, -1\/3, a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211028749 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 34*g + 3424. Give s(-98).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - -6)*((-6)\/21 - 33\/(-77)). Suppose 3*n + 42 = 2*c, 2*n - 3*c + 6*c = -41. Let a be (n\/(-6))\/2*3. Solve a*g = -14 - f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 34*x + 38. Let y be a(-34). Which is bigger: y or 35?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 4*u + 4, -2*u - 7 + 5 = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.06 - -0.06. Let x = 67701.9 - 67702. What is the smallest value in -0.2, w, x, 9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j*j\/j**0)\/j*((j*j*j**(-38))\/j*j)\/j assuming j is positive.\nAnswer: j**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**2 + 151445*k + 1060164 = 0?\nAnswer: -7, 151452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqjjjqjjjnqnj. Give prob of picking 1 q and 1 j.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/3 + (-11)\/(66\/(-756)). What are the prime factors of (-4882)\/(-3) + n\/9 + -13?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1893*a = 9735*a - 141156 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342744474.\nAnswer: 2, 3, 57124079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nneadnnae. What is prob of sequence nn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31064 and 5456.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o - 1. Let w be f(2). Suppose -2*q - z + 25 = -2*z, 0 = w*z - 25. Calculate the greatest common divisor of q and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.6584 and -188?\nAnswer: -499.7792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5 + -0.9. Let h = -4.4 - x. What is the third smallest value in -2\/7, h, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (15960\/(-160))\/(((-4)\/(-80))\/(2\/(-5)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3368006, 6736013, 10104022, 13472033, 16840046?\n\"Answer: t**2 + 3368004*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 + 4*a**2 + 2*a**2 + (2*a + a - 2*a)*(-a + 2*a + a) + 10*a**2 + 37*a**2 + 2*a**2.\nAnswer: 54*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -18 + 33. Suppose 2*b - d*b = -4*v - 71, v + 34 = -3*b. Put -1, 3, v, 2 in decreasing order.\nAnswer: 3, 2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 4*s - 12, 2*j - 3*s - 9 = -3*j. Suppose -386 = -3*k + 5*a - 67, j = 5*k - 3*a - 537. What is the greatest common factor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -129, 0.3, 2, -0.17, -3, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/(693\/88) + (-2)\/3. Suppose -4*t + 2*t + 82 = 0. Let m = t - 124\/3. Which is the nearest to f? (a) 3 (b) 3\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*o - 79*o + 172*o = 368 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49110447 - -29407042. Let f = 19703280.99979 + s. Let b = 124 + f. Round b to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in 2, 0.14, -2?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 10 - 8 = 3*p, 4*p - w = 11. What is the remainder when 140 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwk when three letters picked without replacement from wgcwgghhkiwhc?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 8) in base 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d**3 - d**2. Let s be l(-1). Let b be (-15)\/6*s\/4. Solve 0 = 4*g - 0*g - 5*k + 40, -25 = g - b*k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2 + (6 - 1 - 3)*(4 - 2 - 3) + 0 - 1 + 0 - 1 + 1 + 2)*(-38*n + 51*n + 50*n)*(-n**2 + 4 - 4).\nAnswer: 189*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18907\/274572 + 1\/9468. Put 2, l, 7, 4\/13 in increasing order.\nAnswer: l, 4\/13, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsffkoffoofokkfso. What is prob of picking 2 k and 2 s?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from {f: 3, k: 8}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1410 and 192606.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/5415683 and -93\/238052.\nAnswer: 21662732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -129*r**4 + 101*r**2?\nAnswer: -3096*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5163224.34 to the nearest ten thousand.\nAnswer: 5160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -236090.369591 and 0.2.\nAnswer: -236090.169591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*l, 5*i - 2*l - 27 + 14 = -6*l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 44 (b) -1\/2 (c) 2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117143550793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 19433764?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -204 divided by 3\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65\/2 - -33. Which is the nearest to -4? (a) -0.3 (b) o (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 181969894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 69972306?\nAnswer: 69972305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 2986 = 1415 - 741. What is the remainder when q is divided by 113?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5008, -4461, -3036, -295, 4200, 10887, 20204?\n\"Answer: 73*c**3 + c**2 + 33*c - 5115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2096 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -564 divided by -6?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/2)\/b)**(-1\/57)\/(b**(-2\/37)*b**(-3)))**14)**(17\/3) assuming b is positive.\nAnswer: b**(1537361\/6327)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u**4 + 0*u**4 - 3*u**4 + 2*u**4 + u**3 - u**3 + (-u**2 + 0*u + 0*u)*(-u**2 - u**2 + u**2).\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmzmzdmdzzzmmzdmmmzd. What is prob of picking 3 m and 1 z?\nAnswer: 448\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3319 is divided by 208.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 u, and 1 x when four letters picked without replacement from ixuuuiuxuxuui?\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*d - 171 = 289*d. Let s be (-52)\/6 + (-2)\/(-3). Are d and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5))\/(6 + 1209\/(-130))\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -12*w**2 - 135*w + 111. Let y be h(-12). Factor -13\/2*t + 1\/2*t**4 - 3 - 7\/2*t**2 + 1\/2*t**y.\nAnswer: (t - 3)*(t + 1)**2*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0) + (8 - (5 + 4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-7*1\/(-647)). Let j = h + -92. Which is the third smallest value? (a) j (b) -1\/10 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-64)*-12 - 2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112944 = 2046*g + 850*g for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-2 + (-3134 - (-64)\/8). What is the common denominator of -139\/42 and (-39514)\/g + 2\/17?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/2 + 8781*m\/2 + 2499633.\nAnswer: 3*(m + 774)*(m + 2153)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157880, -162529, -167178, -171827?\nAnswer: -176476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 232280 + 108290. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -11*z. Let t(p) = 1262216*p + 1. Give t(j(r)).\nAnswer: -13884376*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {n: 2, z: 7, s: 3, l: 1, i: 1}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10500)\/(-2700) + 6\/54. Factor 0 - 3\/4*y**3 - 1\/4*y**2 + 3\/4*y + 1\/4*y**a.\nAnswer: y*(y - 3)*(y - 1)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.7 + 12.7. Suppose 12 + 2 = -2*g. Let f be g\/(-28) - (-2)\/8. Which is the third smallest value? (a) x (b) 2\/9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**3*v**3 - 1027*q**3*v - 631*q**3 - 102*q*v**3 - 4*q*v**2 - 788*v wrt q?\nAnswer: 12*q*v**3 - 6162*q*v - 3786*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s = 117 + 219. Let n(t) = -t + 1. Let u be n(0). Calculate the lowest common multiple of s and u - 1 - (-13 - -1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/93293840 and -61\/185352.\nAnswer: 279881520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23695710?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10547, -10549, -10551, -10553?\n\"Answer: -2*v - 10545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 + -67. Suppose -8337 = -c*n + 3*i, 2*n - 13877 = -3*n - 4*i. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2 = -s, 34 = 4*s + 6*j - 3*j. Suppose s*k + 2 = 11*k. Determine z, given that 10 - z**2 - 7*z**4 - k*z**4 + 21*z**3 - 9*z - 12 = 0.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 73\/(-4) - (-1)\/4. Let m be w\/(-14) + 4\/(-14). Let t be 4\/(-2)*(-17)\/((-119)\/(-14)). What is the greatest common factor of t and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, a: 5, d: 2, e: 1, j: 3, r: 8}. What is prob of picking 1 e, 1 j, 1 d, and 1 w?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 123804 a multiple of 362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 214, 106, -1, -15, 2 in descending order.\nAnswer: 214, 106, 2, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -102*i**6 - 4*i**2 wrt i?\nAnswer: -12240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 11:41 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5 + sqrt(18) + 3)**2.\nAnswer: -42*sqrt(2) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -710*v - 225*v - 2282 = 206*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203 (base 6) in base 9?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9)\/(((-24)\/1782)\/((-6)\/(-27))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 397.22 and 7.07158591?\nAnswer: 390.14841409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-2)\/1 + -15 + (-741)\/(-38). Let y(i) = -i - 1. Let m be y(3). Which is the closest to 3? (a) -0.2 (b) m (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -23\/120*t**4 + 0*t - 42*t**2 - 1\/300*t**5 + 4\/5*t**3 + 0. Determine r, given that s(r) = 0.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (361*t**2 + 2521*t**2 + 1148*t**2)*(2 + t**2 - 2) in the form j + i*t**2 + p*t**4 + r*t + c*t**3 and give p.\nAnswer: 4030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74907 or -74908?\nAnswer: -74908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.323 times -896\nAnswer: -289.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33148737 and 20709?\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 707253, 707261, 707267, 707271, 707273?\nAnswer: 707273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -450\/17 at most as big as -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqnp when four letters picked without replacement from {q: 1, n: 1, w: 11, i: 1, p: 1, d: 3}?\nAnswer: 1\/73440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 - 949*m - 59568. What is p(-230)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 + 62. Is 17 a factor of 0 - (-5 + o*114)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 14) to base 6\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -512*z**3 + 364*z**2 + 1172*z + 296 = 0.\nAnswer: -1, -37\/128, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -555, -1830, -4307, -8388, -14475, -22970?\nAnswer: -34275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -289*y + 22. Suppose -q - 10*v = -14*v + 7, -q - v - 2 = 0. Is g(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -23, 10599, 1, 5 in ascending order.\nAnswer: -23, 1, 3, 5, 10599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6300 divided by 5?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4 = 4*d - 8*d, -5*d + 3*a = -11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-36)*2)\/((-44)\/(-99)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(2\/3)*z*z*z*z\/(z\/((z*z**(-1\/7))\/z*z)*z))\/((z\/z**2)\/(z*z\/((z**(-5\/2)\/z*z*z)\/z))) assuming z is positive.\nAnswer: z**(407\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**4\/4 + 8*r**3\/3 + 11*r**2\/2 + r - 1. Let n(l) = l**2 + 8*l + 9. Let w be n(-8). Is h(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.61 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/2*(-2)\/(-1). Suppose 71*q - 2 = 73*q. Sort 0, q, i in ascending order.\nAnswer: i, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-14) + 6\/21. Suppose 0 = 2*q - 4*c - 8, 3*q + m*q - 20 = 2*c. What is the remainder when 33 is divided by (34\/4)\/(2\/q)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 32*n + 60. Determine u(28).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14031 is divided by 52?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35243 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 64? (a) 1 (b) 13 (c) 0.1 (d) 3 (e) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**6\/120 + 2*d**5\/3 + d**4\/24 - 29*d**3\/3 - 2*d**2 + 201*d. What is the second derivative of s(x) wrt x?\nAnswer: 6*x + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8759410.\nAnswer: 2, 5, 11, 79631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 7 (b) 16 (c) 1997\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*-212282\nAnswer: 297194.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-567)\/(-28))\/(-27)*(-528)\/(-11)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6696*c**2 + 310*c - 310. Let s(o) = -65*o**2 - 3*o + 3. What is -6*k(z) - 620*s(z)?\nAnswer: 124*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + 3*h - 44. Let s be l(0). What is the tens digit of 108\/s*-37 - 4\/(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 2\/7, -1\/491, 2, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)*d)**(15\/8)\/(d**(-24)\/(d**(-2\/31)*d)) assuming d is positive.\nAnswer: d**(3859\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/338088 and 71\/197218.\nAnswer: 2366616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 9*g**2 + 8*g - 2. Let p = 0 - 8. Let b be a(p). Let o = b - -2\/3. Which is greater: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15162424 + 5?\nAnswer: -15162418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 n, and 2 s when four letters picked without replacement from {s: 5, u: 1, n: 3}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 399.3\nAnswer: 79.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -0.01.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*l - 59*l. Is -11 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, q: 17}. What is prob of sequence qqwq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 105903 divided by -2583?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34889 and 1251?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 149?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 68907751 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 200\/8 + (-16725)\/675\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 + 3*y**2 - 9 + 30*y**3 - 30*y**3 - y**2 - 3*y. Suppose 0 = 2*d + 9 - 3. Does 18 divide t(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 5*w, 0*i - 4*i - 4*w + 32 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + -2 + 0 + 3 + (sqrt(1300) - sqrt(1300)*1).\nAnswer: 1 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l**5\/6 + 235*l**4\/6 + 3643*l**3\/3 + 28402*l**2\/3 - 13308*l - 21600 = 0. What is l?\nAnswer: -200, -18, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1833*g - 1773*g + 3606*g + 58*g**2 + 128*g**2.\nAnswer: 186*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 269851801 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 7:02 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**2 + p + 1. Let b(g) = -85*g**2 + 34*g + 34. Let v(a) = -3*b(a) + 102*s(a). Let d(f) = 5*f. Calculate v(d(n)).\nAnswer: -1275*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 - 2*v + 2*v + (4 - 3 - 2)*(-1 - 2*v**2 + 1) + v**2 + 2*v**2 - 4*v**2)*(-178 - 97 + 93).\nAnswer: 364*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 4. Let w = -0.23 - -0.03. What is the closest to 2\/9 in 0.1, w, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 628 + 37095?\nAnswer: 376c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*l**4*m - 2*l**2*m + 80*m with respect to l.\nAnswer: -28*l**3*m - 4*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 5. Let z = -1 + 4. Let p be i(z). Suppose 0 = -v - y - 2, 3*y + 9 = 0. Solve p + v = -3*q, -h = -2*q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4 + 2*f**2 - 5*f**2 + 10*f + 2*f**2. Let a(i) = -i**2 + 7*i + 3. Let t be 7 + 0 - (-1 - -1). Let u be (10\/8)\/((-2)\/8). Determine t*a(z) + u*o(z).\nAnswer: -2*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(30\/(-65)) - 0. Is w at most as big as 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.059825 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 11*f - 12. Let p be y(-8). Let s = p - -8. Solve q - 14 = 3*h, -h + 5*q = 4*h + s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 37551?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -3 + (-10 - -14) + 80 + (-10 - -14).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1008)*1 + -3)**2.\nAnswer: -24*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4*(-19 - -5). Suppose q = -2*o - a, q - 21 = 3*o - q. Sort o, 1, -2.\nAnswer: o, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54.5 + 510.5. Let k = m + -562. Let g = -2.2 - -2. What is the third smallest value in 8, g, k?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4733*s**2 + 1621*s**2 + 1558*s**2 + 1555*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56773.25 nanoseconds in seconds?\nAnswer: 0.00005677325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 616840749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 9:59 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + s = -2*a, 0 = 4*a - s - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281137288.\nAnswer: 2, 61, 576101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*c - 0*c. Suppose -4*y - 5*f = -127, -95 = 2*y - 5*y - 4*f. Suppose -y = -4*r - 13. Solve -r*j + c*a = 26, a - 4*a = -12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1295 - 1292. Calculate the remainder when (-2)\/4 - 165\/(-10) is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0)*15*1. Let l be (-23458)\/(-7770) + 44\/(-2310). Solve -3*o = -5*s + 25, 4*o + 0*s - l*s = -r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 + -4 + 7 + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 543 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 88107682 to the power of 1\/2, to the nearest integer?\nAnswer: 9387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 652459952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112 - -117. Are x and 7\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 185 - 2*x**3 + 4*x**4 - 197 - 64*x + 66*x - x**2 in the form v*x + c*x**4 + w*x**2 + i*x**3 + f and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8, -25, -54, -95, -148, -213?\n\"Answer: -6*x**2 + x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 34 = -2*u. Let v = u - 12. What is the remainder when 34 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (17 - -18)) + 15 + 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 684920?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 13*v**2 - 4*v**2 - 11*v**2. Let d(o) = -3*o**2 - 5*o**2 + 2*o**2. Calculate w(d(a)).\nAnswer: -72*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -17677812 divided by -6?\nAnswer: 2946302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-464)\/78 + 6)\/((-155)\/1395)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 5*g = -0*b - 492, -208*b - 594 = -22*b + 12*b + 4*g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11141115.1 rounded to the nearest one hundred thousand?\nAnswer: -11100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*x - 50*x - 20. Solve 5*o - 11 = 4*v, o - x*v = 4*o - 14 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*p - 1791, 5*c + 0*p = -p + 2217. Suppose c = -k - 551. Let l = k - -1846. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**4 + 70*a**3 - 14*a**3 + 8 - 16*a**3 - 26*a**3 + 30*a**2 + 26*a = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 - -1991.6\nAnswer: 1991.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -74851 * 2\nAnswer: -149702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = z + 4*l, 40 = -0*z + 4*z + l. Suppose z*x + 5 = 32. Solve f + 6 = 5*j + 16, 0 = -x*j - f - 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 1. Let k(u) = 2*u**2 - u - 3. Is 8 a factor of k(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 a, and 1 d when four letters picked without replacement from {m: 4, d: 9, a: 2, w: 4}?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 24*p**2 + 48*p - 29. What is the hundreds digit of x(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4365*t**2 + 79345*t - 79345*t as o*t + a + v*t**2 and give v.\nAnswer: -4365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 6. Suppose 2*p = -4*o + 110, 4*o = -0*o. What is the remainder when p is divided by 2\/t + 485\/25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19561 + 28800. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-4)\/4*27. Let u be 4110\/27 - (-6)\/t. Calculate the highest common factor of u and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7414 and 122386?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/4)*t**(1\/2)*(t**(-5)\/t)\/t*t*t\/(t*t\/(t*t*t**(-1\/6))*t) assuming t is positive.\nAnswer: t**(-77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34, -80, -126?\n\"Answer: -46*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 314*z - 1671. What is the tens digit of o(61)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -806118 (base 9) in base 2?\nAnswer: -1110100011011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/42*(-9)\/(-3). Let u = 3.03881 - 0.03881. Which is the closest to f? (a) u (b) -0.2 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(489 + 123*x**2 - 489) - x**2 - 2*x + 2*x - 4*x**2 + 0*x**2 + x**2.\nAnswer: 242*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, 569, 2196, 5369, 10604, 18417, 29324?\nAnswer: 43841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1002, -37, -1\/15?\nAnswer: 1002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 21. Let v be -1*w - 247\/(-39). Is 4 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-2))\/v**22)\/(v**(-21)\/(((v*v**(-15\/2)\/v)\/v)\/v)) assuming v is positive.\nAnswer: v**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00089 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 656 and 1107.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -5, -29, 57 in increasing order.\nAnswer: -29, -5, 10, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*n - 26*n - 5*n.\nAnswer: -75*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 - -48. Suppose 259 = t - w. Suppose -2*f = -f - t. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3091 - 3085. Let z(i) be the second derivative of 1\/3*i**4 - 4\/3*i**3 + 0 - p*i**2 - 4*i. Factor z(k).\nAnswer: 4*(k - 3)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehnmf. Give prob of picking 1 m, 1 e, and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 7, 0.3 in decreasing order.\nAnswer: 18, 7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 21 - 17*t - 10*t + 8 + 32*t - 8*t. Suppose 0 = 3*c - c + 18. What is the tens digit of a(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 36 = -12. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35, 65, 107, 167, 251?\n\"Answer: b**3 + 23*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 3*w - 198 + 241, -5*w - 35 = -5*l. Calculate the least common multiple of 190 and l.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**5\/60 - x**4\/4 - 4*x**3\/3 + 3*x**2. Is z(8) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + 25 + 15 + (0 - 12) + 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1630542 or 1630540?\nAnswer: 1630542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -3.133.\nAnswer: 0.9399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 305204 and 16?\nAnswer: 1220816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32488, -64980, -97472, -129964, -162456?\n\"Answer: -32492*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 2)*(16*a + a**3 - 22*a + 25*a) in the form c + y*a**3 + u*a**2 + v*a and give v.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -685 - -666 - (-26 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 = 4*x - v, 68*x - 2*x - 518 = 46*x - v for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 3. Let s be (c - 7)*(-1)\/2. Suppose -5*f - y + 37 = 0, -f + 0 + 20 = -s*y. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 12*d**2 - 32*d + 21. Is 11 a factor of o(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16365237 to the power of 1\/2, to the nearest integer?\nAnswer: 4045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 54*h + 2. Suppose m - 11 = 5*d, -d - 7 = -5*m - 0*m. Does 28 divide n(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9 - k - 9. Let v(t) = -18*t. Give v(p(h)).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*o = -27, -3*o = 4*k - 2*k + 20. Let l be (-2)\/k - 30\/7. Are -26\/5 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 168560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 10*c. Suppose -4*m = 5*b - 4, -11*b + 7*b = -3*m + 3. Let w = -15 - -21. Suppose m = 2*y + h, w*y - 2*h + 8 = 4*y. Determine o(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**2 + 268608*y - 2148736 = 0.\nAnswer: 8, 134296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 36178844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k = 6. Calculate the common denominator of (k\/(-64))\/(3\/150) and (2415\/(-200))\/((-4)\/(64\/(-36))).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 740252, 740328, 740404, 740480, 740556, 740632?\n\"Answer: 76*c + 740176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 22*a + 285. Let b be l(-30). Calculate the highest common factor of b and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a**3 + a**2 - 48*a + 141. Give q(3).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(0*z + 2*z + 0*z) + (-4 - 1 + 1)*(-1 + 5 - 5)*(1 - 1 - z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y. Let d(j) be the third derivative of -10*j**2 + 0*j**3 + 0 + 0*j + 1\/24*j**4. Calculate k(d(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.24 - -7.14. Let g = t - 0.9. Which is smaller: -2\/3 or g?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -1082*t - 11. Let z = 92 + -94. Is b(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 8*i**2. Let t(n) = 5*n**2 - 12*n + 19. Let y be t(10). Let v(j) = y*j + 3*j**2 - 399*j. What is v(d(u))?\nAnswer: 192*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**2 - 2*m**2 + 0*m**2 + (-3*m**2 + 2*m**2 - m**2)*(3 - 1 + 0) - 30 - 2*m**2 - 3*m**2 + 6*m**2 in the form d + a*m + k*m**2 and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -0.26. Suppose 163*f - 167*f = -12. Which is the third biggest value? (a) -0.2 (b) f (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 4*h - 20. Let n be i(-7). Factor 10*w**2 - 22*w - 8*w**2 + n + 2*w.\nAnswer: 2*(w - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(6\/(-24))\/(1\/4). Let k(s) = -s**3 + 3*s**2 + 2*s + 1. What is k(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239263 is divided by 750.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 5:08 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 115728451 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + 3 + sqrt(98) + 1 + (-4 + sqrt(32))**2 + -1.\nAnswer: -25*sqrt(2) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -230, -4, 0, 3, -3 in decreasing order.\nAnswer: 3, 0, -3, -4, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 5*o - 1. Let h be z(4). Suppose -2*x + 65 = h*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 935446 not equal to -223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**5\/3 - 446*m**4\/3 + 452*m**3 - 8*m**2\/3 - 1808*m\/3 = 0.\nAnswer: -226, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12839, -12834, -12829?\nAnswer: -12824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 93, 166, 239, 312, 385?\n\"Answer: 73*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -32*h**2 - 15*h + 343. Let c(t) = 94*t**2 + 43*t - 1029. Let w(y) = 3*c(y) + 8*o(y). Differentiate w(a) wrt a.\nAnswer: 52*a + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10 + (-8)\/5. Let o = 44 - 42. Which is bigger: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 106, -1.36, 0?\nAnswer: -1.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 21*i**2 - 18*i - 76. Let m be q(22). Solve -14 - 34 = -m*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**3 + 18*j + 763*j**2 + 19*j + 551*j**4 - 16*j - 21*j wrt j?\nAnswer: 13224*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1794 (base 11) to base 5.\nAnswer: -33111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 9*k - 29. Let g be i(-12). Suppose 4*f + 3*t = 17, 4*f + 2*t - 7 - g = 0. Solve 0*l + 4 = f*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + -1 + 4 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 8:37 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 0*f - 25. Let t(o) = -5*o**3 + 4*o**2 - 4*o + 1. Suppose 0 = 11*d - 24*d + 13. Let a be t(d). Sort 0, f, a.\nAnswer: a, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 5 + (-4 - 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a + 7. Let c(m) be the third derivative of 41*m**4\/24 + 7451*m**2. Determine c(v(d)).\nAnswer: -164*d + 287","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 7*d - 70. Let n(z) = -2*z**2 - 16*z + 144. Let r(o) = -3*n(o) - 7*w(o). Give r(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n - 37*n**3 + 38*n**3 - 1746*n**2 + 1746*n**2.\nAnswer: n**3 - 15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*d - 78 + 19, -d = -2*p - 10. Let r be (5 + -7)\/((-4)\/(-26)). Let n = r - -17. Calculate the highest common factor of n and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362088557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -57381, -57383, -57383, -57381, -57377?\n\"Answer: l**2 - 5*l - 57377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*g = 213*g + 4969696 + 2137194. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*((sqrt(136) + -1*sqrt(136))*4 - 2*1*sqrt(136)))\/((-2*sqrt(96)*-4)\/(1*sqrt(36)\/sqrt(3))))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 + 3*n + 2*n**3 - 6*n + (5*n**2 - 4*n**2 + n**2)*(-2*n + 6*n + n) + 2*n**3 - 5*n**3 + n**3.\nAnswer: 7*n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 8*r + 3. Calculate m(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lee when three letters picked without replacement from szyysezylzyeyyyzyzyy?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 12\/25 of a millimeter?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 347*s = 346*s - 11, 5*x = 32*s + 697 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2547997?\nAnswer: 2547997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110 + 190. Suppose -3*l = -7*l + w + 64, 0 = -5*l + 5*w + m. Calculate the least common multiple of 4 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 401, 1833, 4209, 7529?\n\"Answer: 472*c**2 + 16*c - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 653057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1002*p + 3*s - 1611 = 999*p, -2*p + 1074 = s. What are the prime factors of p?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18544 and 1508296?\nAnswer: 184012112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1913531195?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4)*8\/(-12). Let p = v + -4. Let y(k) = 2*k + 213*k**2 - 63*k**2 - 77*k**2 + k**3 - 4 - 70*k**2. Calculate y(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11100011000 (base 2) to base 7\nAnswer: 5203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**4 + 3451149*w**3 + 3451155*w**2 - 3451149*w - 3451152 = 0. What is w?\nAnswer: -1, 1, 1150384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 147679035907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 2*w**3 + (-w**3 + 3*w**3 - w**3)*(-2 + 2 - 1) + w**3 - w + w + (-2 + 0 + 1)*(-w - 2*w**3 + w) + (-5*w + 5*w + 8*w)*(-62*w - w**2 + 62*w).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 * 1038.\nAnswer: -25950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, l: 2, g: 9, n: 3}. Give prob of picking 1 l, 1 n, and 1 p.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35656135 and 224405?\nAnswer: 6065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38.2 - 38. Let y = -0.2 - q. Let g = 7 + -11. What is the third biggest value in y, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(68) + -1) + -3.\nAnswer: -7 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (321\/(-2140)*2)\/(8\/(-4)*(-63)\/(-30)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.7735 milligrams to tonnes.\nAnswer: 0.0000000517735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/(c\/((c\/(c**1*c))\/c)))))**(-4\/5)\/(c**(3\/10)\/(c\/(c**(-1\/7)\/c)))*(c*c\/(c**(-8)*c)*c*c*c**(-5))\/(c\/c**1)**48 assuming c is positive.\nAnswer: c**(661\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -44, -2, 29, -10, -5 in ascending order.\nAnswer: -44, -10, -5, -4, -2, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**1)**43*(n**(-2\/5))**(-16\/3) assuming n is positive.\nAnswer: n**(1322\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*k*x**2 - 198*b**2*k - 9*b**2*x**2 + 8*b**2 with respect to k.\nAnswer: 2*b**2*x**2 - 198*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 - (-4 + (-3)\/(-2)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 268102*n**2 - 372996?\nAnswer: 536204*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 37\/20, -2\/1065, -13\/16?\nAnswer: -2\/1065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 4 + 1121*p + 4.\nAnswer: 1121*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3, 100, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 27. Which is the smallest value? (a) y (b) -3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 189717367?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 18 = 3*s, 4*s - 24 = 2*r + 3*r. Which is greater: s or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*h - 1082 = 238 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (3 + (-1 - 2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 13*x - 19. Let v be o(11). Suppose 5*k - v*g - 1870 = 0, -4*k + 2*g + 748 = -2*k. Let m = k + -256. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**4\/j)**(-2\/71))**(26\/5))**(-2\/101) assuming j is positive.\nAnswer: j**(312\/35855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*p**2 + 1 - 1)*(4 - 2 - 4) + 3 + 2*p**2 - 3)*(4 + 0 - 2)*(23 - 7*p - 23).\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2203, 195, -5217, -15725, -33021, -58797?\nAnswer: -94745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 14*h - 30 = 0. Let o(b) = -57*b - 5. Let y be o(h). Let n = y - 5. Calculate the greatest common divisor of 23 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67215317.\nAnswer: 13, 271, 19079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -4*x**7\/7 - 227*x**5\/5 + 207*x**3 + x**2 + 1321. Find the third derivative of b(r) wrt r.\nAnswer: -480*r**3 - 5448*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.23 in 2, -0.19, 4, 1\/22?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12305095 and 5115.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 30*p**2 - 84*p - 86. Let j be b(-27). What is the third smallest value in 506, -0.2, 4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86095 is divided by 45?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aoiowawwooawaoa. Give prob of picking 1 a and 1 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by -11380.\nAnswer: -7\/2276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 3:54 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/16 - 11\/4. Let j(s) = s. Let a(i) = -i. Let p(m) = 3*a(m) + 5*j(m). Give p(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -5\/2, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/11 + 2*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dejmebv. What is prob of sequence bvm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q + 362*q**4 + q - 8*q**3 + 4*q**3 + 6*q**3 in the form j*q + c*q**3 + n + t*q**2 + x*q**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5954 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 + 103315*d + 9974510.\nAnswer: 5*(d + 97)*(d + 20566)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75 - -1) + -16 + (-1 - -10) + 21?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2263690*q*t**2*u + 132849*q*t - 2*t**2*u - 3*u wrt t?\nAnswer: 4527380*q*u - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -946.2 - 883\nAnswer: -1829.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2. Suppose -g - 12 = -13. Determine l(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 24363 = -v, -23*v + 19500 = 4*z - 27*v. Suppose -44*w + z = -38*w. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m - 6. Let w(r) = -r**2 + 24*r + 129. Let f be w(29). Give c(f).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*d**2*q - 3*c**3*d - 2*c**2*d*q**2 + c**2*q**2 + 169*d**2*q**2 - 8*d*q**2 wrt d.\nAnswer: -4*c**3*q + 338*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 4*h + 0*h)*(916*h**3 - 2932*h**3 - 4721 + 4721) in the form x + u*h**4 + w*h**3 + t*h + l*h**2 and give u.\nAnswer: 4032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1)**(-5)*j\/(j\/((j\/(j\/(j*j**4)*j))\/j))*j*j\/(j\/j**7))\/((j**(-1\/4)\/(j*j**1*j))\/(j*j**(1\/3)*j)**(-4\/37)) assuming j is positive.\nAnswer: j**(3995\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**2\/7 - 44*c\/7 + 80\/7 = 0.\nAnswer: 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -11\/2. Let r = 1 - i. Factor 1\/2 - 1\/2*o**3 + 3\/2*o**2 - r*o.\nAnswer: -(o - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((0 - 2) + 1)*-2. Let y be (-6)\/4*d - -7. Sort y, 3, 5 in increasing order.\nAnswer: 3, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**2. Let c(g) be the first derivative of -1\/2*g**2 + 0*g - 9. Determine q(c(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 529097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 14 = -5*v + 2*v, -5*v + 20 = 0. Solve q - 2 - l = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 5:40 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38011, -77135, -116259?\nAnswer: -155383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 647908157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 639523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125830215.\nAnswer: 3, 5, 7, 53, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52550380*n**5 + 69400422*n.\nAnswer: 1051007600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8*p. Let g(s) = 3*s**2 + 259*s. Calculate g(j(z)).\nAnswer: 192*z**2 - 2072*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2236851458?\nAnswer: 2, 16843, 66403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -18. Let m = l - -6. Put -5, 0.2, m in increasing order.\nAnswer: -5, m, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 + -87. Suppose -2*l + 12 = -l - f*k, 4*l - 4 = k. What is the derivative of -58 - 30*q**2 + l*q + 56 + 0*q wrt q?\nAnswer: -60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-31)\/((-20181)\/(-186))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -6520?\nAnswer: 13\/6520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 5*y - 15. What is the third derivative of -4*v**2 - y*v**2 - 6*v**3 + 13*v - 13*v wrt v?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 3*u + 3. Let y be a(-4). What is the nearest to y in -0.2, 0.4, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 - 9*r**4 + 5*r**3 - 6*r**3)*(-1 - 2 + 5).\nAnswer: -18*r**4 - 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11279789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-6))\/(2\/12). Suppose 2*i = -i - d + t, -i = -2*d - 3. Suppose 37 = i*p + a, -p - 5*a + 2*a - 1 = 0. Solve -2*f + 0 = p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/14*4\/(-3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2071 is divided by 63.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvcjvpcvpvjvj. What is prob of picking 3 v and 1 j?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-2))\/((-2)\/(-48)). Let p be -138 + -22 + (-6 - 2). Let c be (432\/p)\/((-1)\/14). Calculate the highest common factor of d and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 838526299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3)*4\/2)\/(1704\/112464)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, a: 3, i: 3, j: 4}. Give prob of picking 1 u and 1 a.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -195 + 228. What is the third derivative of 9 - 81*z**6 + 20*z**2 - 7 - q*z**2 + 14*z**2 wrt z?\nAnswer: -9720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**2 - 672*f - 37632 = 0 for f.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - n = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/(-52)*4\/(-18))\/(-2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-423)\/(-94)*2\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 307 + -184. What are the prime factors of z?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39503390 divided by -5?\nAnswer: -7900678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 105 - -749?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12.7 (b) -70 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4833 is divided by 121?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111971713\/90200 + 39\/11275. Let w = -1243 + y. Find the common denominator of -137\/6 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3976 and 756?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4282 and 96670432?\nAnswer: 4282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/265 and -151\/69413040.\nAnswer: 69413040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5136 divided by -428\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*r = 25, 5*j + 2*r - 1 = 3. Solve 0*n = -4*n - t + 3, j*t + 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 434931045*j**4 + 389344314*j**2 wrt j?\nAnswer: 10438345080*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495 is divided by 114.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11880 and 756?\nAnswer: 83160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 7:33 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5780 and 27540?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 985374 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5686 and 41743769?\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 12:23 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*y + 3*z, 3*y + 8 = 2*z - 6. Let x be -13 + y\/(-2)*1. Let m(r) = -r + 4. Let i be m(x). What is the greatest common divisor of 105 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/(-5) - (-6)\/(-10). Let r(s) = 10*s - 18*s + w*s. Let t(d) = 5*d. Give t(r(o)).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5290121462?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2454194 to the power of 1\/2, to the nearest integer?\nAnswer: 1567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 12)*(7 - (-204)\/(-28)). What is the highest common divisor of c and 104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -152 + (-85 - 17) + 180.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 78\/11, 1\/4, 3?\nAnswer: 78\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/8*(3 + 17). Let t be (s\/30)\/(1\/(-2)). Is 3\/10 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2530968?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1760 in 4, 0, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 f, and 1 y when three letters picked without replacement from xxxxddyxf?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.2 - -20. Let d = -2.8 + n. What is the closest to -2 in -5, d, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35\/44 + 6\/11. Suppose 3*m - 33 = -5*h + 2*h, m + 4 = 2*h. Let d = m - 4. Which is the closest to d? (a) p (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -16317732.\nAnswer: -16317731.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fewfieeleeeeeeeief. What is prob of sequence wi?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 25 = -5*q, 0 = -58*q + 50*q - r + 40. Solve 0*c - 25 = -q*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*t + 2257 = 0, -a + 601 = -4*t - 560. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j - 22. Let u be k(8). Let y = u - -2. What is the greatest common factor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99 - 25. Is 3\/(-9) + q\/6 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -6*s**4 - 2000*s**3 + 227754*s**2 + 76140*s = 0?\nAnswer: -423, -1\/3, 0, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1157047368?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a**3 + 0*a**3 - a**3)*(-19558*a - 49153*a + 6650*a - 15936*a - 64541*a + 15698*a) in the form x*a**4 + g + o*a**2 + b*a**3 + i*a and give x.\nAnswer: 253680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-416 - 4) - -3. Let i = 703 + f. Does 24 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44748760, -44748761, -44748762, -44748763, -44748764, -44748765?\nAnswer: -44748766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 l when three letters picked without replacement from nidingnllddldlgigl.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 1 + (1 - 2 - -4). Let i(d) = -d**3 - d**2 + 2*d - 1. Let w be i(1). Let x = 4 + -6. Sort w, x, o.\nAnswer: x, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 353*b - 20. Let r be i(1). Suppose r = 12*g - 147. What is the smallest common multiple of 112 and g?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.35 + 0.05. Let n = -0.5 + -1.5. Sort 0.4, u, n in increasing order.\nAnswer: n, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 385374669?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 854*l - 499453 = 4882*l + 1121*l for l.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, j: 4, e: 8}. Give prob of picking 2 j and 1 h.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/3)\/(14\/147). Let o = 13 - c. Let m(u) = -o*u**2 - 2*u**2 + 2*u**2. Let j(t) = 2*t**2. Determine j(m(k)).\nAnswer: 72*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -10 (c) 1540\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 2, -2\/25, -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -7*i + 8. Suppose 1024 = i*o - 2*j, 0*o + 3*j - 1291 = -5*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/60870 and 25\/36.\nAnswer: 365220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/11, -502, 3, 0.5.\nAnswer: -502, -12\/11, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-2\/3))\/x)**(-16))**(7\/9) assuming x is positive.\nAnswer: x**(224\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 130366.5 minutes?\nAnswer: 2172.775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**5\/60 - 22*i**2. Let t(y) = 15*y - 3 + 3 - 5*y. Calculate u(t(g)).\nAnswer: 100*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 167 - 87. Suppose u*n - 79*n - 4 = 0. Suppose 0 = -9*r + n*r + 1985. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1288399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1184371, -1184394, -1184417, -1184440, -1184463, -1184486?\n\"Answer: -23*p - 1184348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 1 (c) -2 (d) 33\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-11 + -7 + 4 - -7 - -22 - 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 16*x**2 - 5*x + 1. Give n(2).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*t + 8. Suppose -d + 0*d = -i + 58, 171 = 3*i - t*d. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**3 + 2697*g**2 - 35448*g + 109440 = 0.\nAnswer: -912, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 12*h**2 + 3. Let w be n(-12). Suppose -w*q + 5*q + 3*d = 84, 0 = 4*q + d - 178. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*q + 23 = -69*q. Let z = q + 9. Let k = z + 251. Calculate the remainder when k is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19953538622294 - 0.4.\nAnswer: -19953538622294.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m - 8. Suppose 0*c + 2*c + 23 = -3*n, -30 = 3*c + 3*n. Let x be (-2)\/c - (-372)\/21. Suppose -3*p - x = -0*p. Calculate v(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**4\/3 + 17*g**3\/3 + 9*g**2 + 42*g. Factor d(y).\nAnswer: -2*(y - 9)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 752854542?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 - -28?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15583424, -31166838, -46750264, -62333708, -77917176, -93500674?\nAnswer: -109084208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -2. Let a = j - -3. Suppose 2*l - l - 11 = a. Solve 3*c - l = -2*w, -2*c + 0 = -3*w - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 5 = -2*j. Suppose -5*a - j*g = -g - 1016, a - 2*g - 201 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0621 to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48243, -47294, -46345, -45396, -44447, -43498?\n\"Answer: 949*n - 49192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15695 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 + 3*y - 3*y + (4*y + 3*y - 6*y)*(0 + 1 + 0 + 2*y**2 + (0 - 3 + 2)*(6670 - 6670 - 99*y**2)).\nAnswer: 104*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/372)\/1)\/(18425\/(-450) - -41)?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 160483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 470 - 467. Let x(i) = i**3 - 10*i**2 - 12*i - 6. Let m be x(11). Let c = -10 - m. Solve 4*u - t = c*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/(-18))\/(((-4023)\/729)\/149)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8332376 and 1742?\nAnswer: 558269192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*q - 184*q = 226*q - 87 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*i - 3. Let t = 0.7 + -0.8. What is the nearest to t in 1, -1\/4, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004513369 rounded to 5 dps?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -18*g**4\/7 + 2946*g**3\/7 + 13024*g**2\/7 + 13416*g\/7 + 576 = 0.\nAnswer: -3, -2\/3, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 7*u**2 - 13*u + 2. Let o be j(-3). Let d = 11 + -10.7. Which is the closest to -0.2? (a) o (b) 3\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1201 - 1019.2. Let d = v - 32.8. Let u = d + -149.00081. What is u rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4\/5, 2, -0.7, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210 (base 4) in base 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 238 - 391. What is the tens digit of (115\/69)\/((-1)\/l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -176958, -176956, -176952, -176946?\n\"Answer: w**2 - w - 176958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 7. Let b(d) = -d - 1. Let i be -3*2*(-3)\/(-6). Let k be b(i). Let a(f) = f**2 - f + 1. Let g be a(k). Determine v(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/361 and (-3824)\/760 - 108\/(-24)?\nAnswer: 3610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 5*g**2 + g - 1. Give k(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -1\/6*i**4 - 1\/2*i**3 + 0*i**2 - i + 0. Find the second derivative of t(s) wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 272.9652 + 418.474\nAnswer: 691.4392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 7*p = 8. Let q = 0 + p. Suppose -2*m + 5*m + 47 = q*w, w - 28 = -3*m. What is the highest common factor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -132\/5. Let x be -2 + -1*(-4)\/6. Which is the biggest value? (a) k (b) 5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.9 - 0.9. Let y = -8 + 11. Let b = y - 2.5. What is the closest to -0.1 in 3\/4, v, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 23*a)*(1 + 0 - 3).\nAnswer: 46*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34944 and 5850.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Let v(d) = -d**3 + 3*d**2 + 2*d - 2. Let g be v(3). Let x(o) = -19 + 19 + g*o. Give x(r(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqiqiiiiqiiiqiiiii. What is prob of picking 1 i and 2 q?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*o = -64, 29 = 2*b - 2*o + 9. Is (639\/54)\/(2\/b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -2*y**5\/15 + 80*y**2 + 169. Let u(b) be the second derivative of g(b). Let r(n) = -11*n**2. Give u(r(q)).\nAnswer: -968*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z - z - 4*z. Let h(s) = 50 + 3*s**2 + 51 - 101. Give h(l(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1300100002 (base 4) to base 13.\nAnswer: 131377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 151060578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 42, 2, -342, -5.\nAnswer: -342, -5, -4, -1, 2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 divided by 17.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -295 in ascending order.\nAnswer: -295, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {p: 7, q: 8, t: 3}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15981191 - 15965879 = 176*d for d.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 258*f**3 + 5*f + 59. Let k(w) = -1289*w**3 - 27*w - 296. Let d(i) = -2*k(i) - 11*x(i). What is the second derivative of d(q) wrt q?\nAnswer: -1560*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 14708280?\nAnswer: 29416560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6 - 2368\/(-12). Suppose -k + 11 + 141 = -4*q, 140 = -4*q + 4*k. Let m = a - q. List the prime factors of m.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -2*m**5\/5 - m**3\/6 - m**2\/2 + 2*m. Let a = 0 - 1. Does 8 divide g(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.13557 and 33?\nAnswer: 31.86443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 375.0723 - 0.0723. Let s = 375.5 - x. What is the closest to -1 in -0.01, s, 0.04?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6242, 6061, 5882, 5705, 5530, 5357?\nAnswer: 5186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(2\/7)*o))**(5\/4))**(-15\/8)*((o*o\/(o**(-7)*o))\/o**(2\/25))**(-42) assuming o is positive.\nAnswer: o**(-929517\/2800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1858278 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -5 - (-1 - (-12 - 15))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -4*m**3\/3 + 1111. Let k(f) = -4*f - 2*f + f. What is k(r(v))?\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*k*w**2 - 3*k*w - k + 4*w**3 + 3 wrt w.\nAnswer: 18*k + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917737824 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 29*y + 34. Let f be t(-3). Let i = f - -69. Calculate the lowest common multiple of 12 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 127*l + 613. Determine i(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641201?\nAnswer: 11, 71, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27.68 - -33.68. Let s = -7.8 + 39.8. Is r at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, b: 6}. Give prob of picking 2 p.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -296980, -593978, -890974, -1187968, -1484960?\nAnswer: -1781950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -122\/15 - -8. Suppose v - 7 = -33. Let p = 22 + v. Which is the third biggest value? (a) y (b) p (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 460850161?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o - 3. Let s(m) = 7*m - 8. Let a(d) = -4*s(d) + 11*t(d). Let p be a(-1). Suppose -4*f - p = f. What is the third smallest value in -5\/3, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 y, and 1 s when three letters picked without replacement from ppccpcpycsppcss.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.6285 times -4511?\nAnswer: 65989.1635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 214*x**4 + 40 wrt x?\nAnswer: 856*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 314*o**2\/3 - 2195*o\/3 - 7.\nAnswer: (o - 7)*(314*o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**3 - 6*q**2 - 56*q + 120 = 0.\nAnswer: -5, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 7100352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 79.97?\nAnswer: 79.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133 and 5719.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6.237656 meters?\nAnswer: 623.7656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122 + -18. What is the units digit of 1360\/w*3\/(6\/(-7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**2 - x - 12. Suppose -15*d = 154 - 4. List the prime factors of j(d).\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 3068 - 1023 = 91*z - 768 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z - 2. Let x(y) = 2*y + 1. Suppose w - 3 = -0. Suppose -2 = 2*r - w*l - 5, -4*r = 2*l - 14. Let v(p) = r*f(p) + 4*x(p). Give v(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 9:25 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**3 + 14*m - 6*m - 80*m**4 + 44*m**4 + 31*m**4 - 13*m**2 + 0 - 2 to z*m + h + f*m**4 + j*m**3 + i*m**2 and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*q - 508*q + 117*q + 132*q + 131*q.\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/13072950 and -47\/112590.\nAnswer: 117656550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 63 = 6*k. Suppose k*w - 25 = 4*w. Let a(j) = w*j - 3*j + 4*j - 3*j. Let f(l) = 2*l**2. What is a(f(c))?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-19)\/(a**(-6)\/a) assuming a is positive.\nAnswer: a**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20313 + 3001202?\nAnswer: 2320223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*(-1936)\/18040*-41.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 590 = 10*s + 840 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41978030.\nAnswer: 2, 5, 19, 31, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/14518 and 57\/70.\nAnswer: 72590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00380838 to 5 dps.\nAnswer: 0.00381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/5 + 88977*j**4 - 1779552*j**3\/5 + 1779556*j**2\/5 = 0. Calculate j.\nAnswer: -444889, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -259*f**5\/4 - 5*f**4\/12 - f**3\/6 + 5*f**2\/2 + f. Let h be r(5). Round h to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + 103. Suppose 19 = v + 5*m, -2*v = -6*m + m + 7. Suppose v*w = -3 + c. What is the remainder when 23 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5768 and 28931464.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 159*g**3 - 12*g**2 - 6*g - 28. Let a(w) = -w**3 - 2*w**2 - w - 1. Let m(i) = 6*a(i) - t(i). Find the first derivative of m(f) wrt f.\nAnswer: -495*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13.8? (a) -1\/5 (b) -3 (c) -1\/6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4313 + -3?\nAnswer: 4310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 22*f**2 + 122*f - 468. Determine o(26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -32*t + 2286. Let n(r) = -r**3 + 7*r**2 + r - 6. Let d be n(7). What is the remainder when 0 + (0 + d - -53) is divided by g(71)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**3\/6 + 4*d**2 + 2*d. Let s be o(6). Suppose s*c - 29 = c. What are the prime factors of c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29657 is divided by 549?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, x: 12, s: 5}. What is prob of picking 2 s and 1 d?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 107*o - 12 = 110*o, 0 = -3*b + 4*o + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 547 + -45. Suppose s - 16 = 18*i. What is the remainder when 51 is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0045 and -7.7?\nAnswer: 0.03465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-32)\/(-20))\/(68\/85). Suppose -3*c - 3 = 2*k, 3*k - p*c = 2*c + 38. Solve k = x - 7*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - b + 22, -139*f - 3*b - 32 = -144*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -2 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 82*h - 1081. Solve -h*t + 0*t = -104 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -128 and -4754\/37 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q - 6*q + 4*q + q - q + 2*q + (0*q + q + q)*(2 + 4 - 5) + q - 1 + 1 + (-3*q + 3*q + 2*q)*(-4 + 2 - 2) - 7*q + 6*q + 8*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 + 6*d - 4. Is m(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -57*a + 56*a + 25734, -4*a = -g - 102957. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1714\/(-8)*256\/198. Let l = g + 2510\/9. Let a = -148351 - -445100\/3. Find the common denominator of l and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238616624 divided by 29827078.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**3 + 5731 - 412*i + 2*i**3 - 5731 in the form a*i**2 + l*i**3 + m + t*i and give t.\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130657.8l to millilitres.\nAnswer: 130657800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bb41a (base 13) to base 9.\nAnswer: -1302345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 5*l**4\/12 + 2*l**3\/3 + 149*l**2\/2 + 41*l + 5. Find the first derivative of d(c) wrt c.\nAnswer: 10*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 4)\/18*282\/(-1175).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 5) + -3 + 2. Let q(z) = -z**3 - 4*z**2 + 5*z + 2. Let h be q(j). Let y = 9 - h. What is the remainder when y is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cctctc. Give prob of sequence tc.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111167260.\nAnswer: 2, 5, 5558363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60936.2g in micrograms?\nAnswer: 60936200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/19699526 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 5. Suppose -4*a + 2*u + 22 = 0, 3*u = -k - 11. Solve -a*g - 6 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -3.5. Let y = 1.5 - m. Let b = 5.2 + y. Is b > -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7772231?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**3 + 3*p**3 - 4*p**3)*(4 - 4 + 2*p) + (p**4 + 3*p**4 + 0*p**4)*(0 - 2 + 1).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -48 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7103768?\nAnswer: 2, 7, 47, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/258 and 17\/8676122?\nAnswer: 1119219738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**2\/9 - 96124*y\/3 + 576760\/9 = 0.\nAnswer: -72095, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 220?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 2. Let w(x) = -x**2 - 36*x - 5. Let k be w(-36). Let z(c) = 18*c - 79. Let l(d) = k*i(d) - 5*z(d). Factor l(u).\nAnswer: 5*(u - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**2 - 3*r**2 + 3*r**2 + (2*r - r - 3*r)*(2*r - 5*r + 5*r))*(0 + 1 + 0).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23829588.5 rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 17127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3605*k - 86500. What is f(-24)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y = 4*w - 4, -3*y - 9 = w. Suppose 52 = 26*p - 0*p. Suppose 3*x - 8*a = -4*a + 12, 5*a = -x - 15. Put p, x, w in increasing order.\nAnswer: x, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 472728824?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(136)*-2*-5)\/((sqrt(8) + 1*sqrt(8))*2 + (sqrt(8) - sqrt(512)*-1)).\nAnswer: 30*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + 16. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*j**3 + 7*j**3 + 4658*j**3.\nAnswer: 4840*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 4) + (307 - 311)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 1:55 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279933 = 5*r + 2*y, 0 = -3*r - 88*y + 90*y + 167963. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6542, -13088, -19634, -26180, -32726, -39272?\n\"Answer: -6546*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30682 + 30682.188445. Let r = j - 0.189. Round r to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114784 and 28274?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46580834?\nAnswer: 2, 479, 48623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -1047?\nAnswer: -104c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 448*a + 442549. Give t(-988).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s)**(4\/15)\/(s**(-2\/5)*s)**(-1\/21)*((s**1)**(-5))**(2\/29) assuming s is positive.\nAnswer: s**(-355\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/15 - -61\/60. What is the common denominator of (4\/(-22))\/(-2)*(-10)\/(-1) and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - z**2 - 2*z + 6. Let a be k(0). Suppose -t + 8 = -a*t - 2*p, 2*p = -2*t - 8. Is t at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -11*t - 6. Let s(i) = -16*i - 9. Let l(x) = -3*p(x) + 2*s(x). Let h(g) = 10*g**2 - 3. Let z(c) = -c**2 + 1. Let o(r) = h(r) + 3*z(r). Give o(l(b)).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.09 + -1.09. Let v = 2 + -4. Let u = -0.7 - 0.3. Which is the nearest to u? (a) v (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1423, 1085, 747, 409, 71?\n\"Answer: -338*k + 1761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8\/126925 (b) -3\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 342*f**2 + 7*f - 62. Let i(s) = 1366*s**2 + 29*s - 254. Let o(y) = 2*i(y) - 9*l(y). Find the second derivative of o(g) wrt g.\nAnswer: -692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -3659*o**4\/24 + 306*o**2 - 5*o. Let d(j) = -3*j**2. Give d(q(n)).\nAnswer: -40164843*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 18*z + 2975 = 4*d, -2*z - 4*d = -1202. What are the prime factors of z?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t**2. Let i(a) = 21*a + 14. Let j(g) = 5 + 50*g - 40*g + 3 - 2. Let f(w) = 3*i(w) - 7*j(w). Give f(k(h)).\nAnswer: 35*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 684\/144 - 2*(-2)\/16. Suppose -393 = -l*q + 3177. What are the prime factors of q?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -0.084, -2\/13, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8936912?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3 + 1445*h**2 + 3*h + 581 wrt h?\nAnswer: 6*h + 2890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/84*-8*2\/20)\/(4\/14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = b - 3*b + b + 3, 6*g = 2*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57650 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssusssusssuusssssu. What is prob of picking 1 s and 2 u?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 629 and 9952259?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 4*h + 7977361856*h**3 - 7977361858*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-4) - (-130)\/(-40). Let q be 9 + 0\/(2\/(-2)). Let t = q + k. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 + 0.13009.\nAnswer: 65.13009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36072149.\nAnswer: 3929, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171, -250, -235, -126, 77, 374, 765?\nAnswer: 1250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**5\/80 + o**4\/12 - 5*o**3\/24 - 10*o + 5. Factor y(i).\nAnswer: i*(i - 1)*(i + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbhhhhhhhxxhbbbh. Give prob of sequence hb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.00000133 - -22. What is d rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2*t + 39 = 0, -2*l + 528*t - 523*t = 4 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 9842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - u + 191 = 0, 0*s + 2*s = 5*u + 98. Which is the second biggest value? (a) s (b) 0 (c) -2\/13 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22892*m**3*w**4 - 5009*m**3*w - 2*m**2*w**2 + 2*m*w**4 wrt w.\nAnswer: 549408*m**3*w + 48*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*w - 874*w + 2*w**2 + 176*w - 2136*w.\nAnswer: 2*w**2 - 2515*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19300556489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 8*h + 49 - 19 - 21. Suppose l + 14 = 3*l. What are the prime factors of w(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a**3 - a**2 - 4*a - 1. Let k(n) = -2*n**2 - 42*n - 40. Let y be k(-19). Let b = y - 32. Is z(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1 - 7 = 0. Is (s + 186\/(-4))*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 (base 6) in base 13?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13460466 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -11*k**2 - 2. Give n(-2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186 a factor of 69901722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1458 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12140 - -12151. Which is the second smallest value? (a) 2\/79 (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113 - -74. List the prime factors of (-3)\/(0 + 1) - (w + -445).\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93775922717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 75289811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (32\/(-20))\/((-2)\/5). Suppose -2*y - 4*f = -28, 0 = -y - f + n*f + 9. Calculate the greatest common divisor of 48 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/3)\/((-24)\/(-18)). Suppose 0 = -4*n + 3*g - 12, -3*n - v*g - 5 = 4. Which is the second smallest value? (a) -10 (b) 1 (c) n (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/60)\/(((-1)\/2)\/(-1)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 5:56 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4625 rounded to the nearest 100?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 182.187 - 182. Round u to two decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -2*y**7\/105 + 11*y**6\/15 - 97*y**5\/15 - 44*y**4 - 96*y**3 - 1148*y**2. Factor q(u).\nAnswer: -4*(u - 12)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102772759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 12 = -y. Let b be (24379 - y)*50\/2. Suppose -b = 4*g - 25400. What is g rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 39, 4\/49, -9, -0.5, -3, 2\/9?\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -74, -194, -384, -656?\n\"Answer: -2*n**3 - 17*n**2 + 3*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.35 from -197.\nAnswer: -197.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 + 27. Let s = x + 11. Let n = -0.06 - -0.26. Sort -2\/11, n, s in increasing order.\nAnswer: s, -2\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 112, 4 in descending order.\nAnswer: 112, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-1)\/(1\/(-2)). Let b be (-3)\/(-9)*4*q. What is the units digit of (b\/12)\/((-2)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -13*m**2 + 9*m - 1865. Let g(x) = -3*x**2 + 2*x - 466. Give 2*f(c) - 9*g(c).\nAnswer: c**2 + 464","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1836 = -3*v + 3*c, 12*v - 10*v = -4*c - 1254. Is -613 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/236556 and -61\/66038550.\nAnswer: 396231300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 5\/63 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 9*a**2 - 5*a - 5. Let z(x) = 5 - 4*x**2 + x**3 - 2*x + 2 - 3*x. What is the remainder when k(8) is divided by z(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 q, and 2 n when four letters picked without replacement from {n: 7, s: 3, q: 3, m: 3, u: 2}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxz when three letters picked without replacement from qixgppzx?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20200 divided by 5050.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-15)*(441\/30)\/(-49). What is the nearest to 1 in 2\/7, 0.5, x, -2\/85?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1354 - -154. Let w be ((-6840)\/54)\/((-2)\/n). What is w rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2.86, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 3*n + n)*(2*n**4 - 2*n**4 + 2*n**4) + 2*n**5 + 0*n**2 + 0*n**2 - 465*n**4 - 4*n**5 + 70*n**4 + 3*n**5.\nAnswer: 3*n**5 - 395*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/15)*(((f\/(f*f**(-16)))\/f)\/f)\/f assuming f is positive.\nAnswer: f**(197\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -1542?\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*l + 206*l = 297. Suppose -z - 7 = -3*p - 5*z, 0 = -3*z - 15. What is the greatest common factor of l and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6*6\/11. Put -1, p, -4 in increasing order.\nAnswer: -4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 21*j**2 - 71*j + 71*j.\nAnswer: 21*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (12\/18)\/((-14)\/(-12075)) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 10:47 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*r = 14, -6*r = 2*c - 5*r + 2. Which is smaller: c or -21\/8?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 2*m**2 - m**2 + (0 + m + 0)*(-2*m - 2*m + 0*m))*(-1 + 6 + 9)*(-15 + 3 + 4).\nAnswer: 224*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 - -118 - (-1 - -2). Suppose 4*f - j - 155 = 5*y, -3*f + 214 = -5*y. Is f a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 3*t - 8. Let c = 0 - -5. Let i be d(c). Let l(g) = -i*g**2 - 12*g + 12*g + g**2. Let m(p) = -5*p. What is m(l(v))?\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3)*o*o)**(-1\/9)\/((o**(-5\/4)*o)\/o*o*(o\/(o*o**3))\/o) assuming o is positive.\nAnswer: o**(439\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-72)\/54*12249\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8830199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 155 = -5*v - z, 42 = 2*v - 2*z. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84.8497 times 1\nAnswer: -84.8497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.978502 minus -9?\nAnswer: -4.978502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/4459 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13438*c + 150*c**3 - 211*c**2 + 13438*c + 206*c**2.\nAnswer: 150*c**3 - 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.99 rounded to 0 decimal places?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -2, 33, -3, 4, 51 in decreasing order.\nAnswer: 51, 44, 33, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -7, -375, 0 in descending order.\nAnswer: 11, 0, -7, -375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + y + 94 = 0, m - 2*m = y - 90. Let c = 853 - 784. What is the highest common factor of m and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g + 28. Let c be y(-5). Let d = -25 + 40. Suppose 3*m - 48 = d. Calculate the greatest common factor of c and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41043435 (base 7) to base 2.\nAnswer: 1101000011100111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -58, -0.1, -15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 5) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153644 (base 7) to base 6.\nAnswer: -351355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42886256107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -87432515.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84 - 77. Calculate the highest common divisor of 3 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-456)\/(-247) + 4\/26. Let b = y + 0. Solve 0 = -g - 0*g + b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2239.74 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -13. Let g(q) = q - 4. Let r be ((3 - 6) + 3)\/1. Let t(a) = 4*a - 1 + r*a + 6 - 5*a. What is h*g(w) + 6*t(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 16\/49, 2, 1, 14 in decreasing order.\nAnswer: 14, 4, 2, 1, 16\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + 38 + -53 + 50.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 53.018, -2\/507, -1\/12 in increasing order.\nAnswer: -5, -1\/12, -2\/507, 53.018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, w: 1, o: 4, z: 1, b: 3}. What is prob of picking 1 p and 1 b?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -53 in descending order.\nAnswer: 0, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7850 - -16113. List the prime factors of j.\nAnswer: 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -1\/6*v**3 - v + 3\/2*v**2 + 0 + 1\/12*v**4. Is 5 a factor of x(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -137, -275, -413?\n\"Answer: -138*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) -3.7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 568 = -562. Suppose -83 - 59 = -k*j. Calculate the remainder when j is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = g + 2218, j - 1784 = -3*j + 4*g. Suppose j = -5*t - 887. Let v = -154 - t. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 38. Let z(l) = -l**2 - 13*l - 9. Let m be z(n). What is the derivative of 8*p - 3*p + m - 2 wrt p?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42990088 divided by -10747522\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1002\/(-998) + -12 + 18 + -5. Which is bigger: 2 or w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 6*i - 2, 0*d + 4*d + 28 = 4*i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 297, 559, 783, 951, 1045, 1047?\n\"Answer: -3*v**3 - v**2 + 286*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 396548610?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 642, 2.\nAnswer: -4, 2, 642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 2:03 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16226\/427)\/(4\/(-2))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 8) to base 15.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*i + 146 = -202, z - 357 = -5*i. What is the lowest common multiple of 36 and z?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -398512, -398514, -398516, -398518?\n\"Answer: -2*s - 398510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112 - 163 - -84) + -169?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 134164 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/825)\/(10\/(-105)).\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (17 - 0) + -9 + 492 + 0 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*g + 3*a, -g + 33 = 2*g - 3*a. Calculate the remainder when 18 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 305*w**2 - 190*w - 35541. Calculate b(306).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2\/2 - 5227*v - 1152360 = 0 for v.\nAnswer: -216, 10670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 34*v + 37. Let f be a(-1). What is the closest to 2\/9 in f, -3, 1, 5\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*a - 239 - 252 - 272*a + 491.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.15 + 0.05. What is the nearest to i in -2, -4, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24095 + 24097. Let g = 25 + -13. Calculate the lowest common multiple of p and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 24*g**2 - 14*g + 14. Let w(z) = 8*z**2 + 3. Let i(o) = o**2 + o. Let q(s) = -3*i(s) + w(s). Let n be 2\/5 + (-408)\/(-30). Give n*q(h) - 3*x(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (0 - (3 + -3)). Let o(k) = k**3 + 2*k**2 + k + 3. Let a be o(i). Factor -1\/3*x + 1\/3*x**a + 0*x**2 + 0.\nAnswer: x*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 19\/5 of a millennium?\nAnswer: 380","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00027715 to 6 decimal places.\nAnswer: -0.000277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311860859?\nAnswer: 311860859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - k - 1. Let d(t) = 20*t**2 + 16*t + 16. Let s(m) = -d(m) - 16*p(m). Let j(u) = -7*u + 4. Calculate j(s(f)).\nAnswer: 28*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1274321326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441188 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 17176814 times -4\nAnswer: -68707256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s - 5. Let n(h) = h + 1. Let z(i) = 5*n(i) + o(i). Let r(d) = -20*d**2. Calculate r(z(t)).\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 greater than -235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 920.9901 millennia to months.\nAnswer: 11051881.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11012120110110111 - -11?\nAnswer: 11012120110110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5849d (base 16) to base 5.\nAnswer: 43033004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/10 - -1)\/(-67 - 8350\/(-125)). Sort p, 0, 3, 27, -40 in increasing order.\nAnswer: -40, 0, p, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*((d*d**(-34)*d)\/d*d)\/d*d*d\/d**(-37))**(-3\/10) assuming d is positive.\nAnswer: d**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (85\/408*8)\/((-1)\/(-48)). Solve f - 665 = 117*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*i + 3240 = 222*i. Suppose -2*x - 3*h = x - 213, 4*x - 2*h = 308. What is the highest common divisor of x and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56616 and 10248.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -1\/137?\nAnswer: -1\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**5\/4 - 5545*t**4\/2 + 12298810*t**3 - 27278760580*t**2 + 3215*t. Determine g so that q(g) = 0.\nAnswer: 2218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2170378 (base 9) in base 12?\nAnswer: -484038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*a - 109 = 0, -5*a + 8*a - 145 = -4*x. Factor 35*o + 6*o**4 - o**4 - x + 84 + 45*o**2 + 25*o**3 - 37.\nAnswer: 5*(o + 1)**3*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11207 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -i. Let n(k) = 6*k**2 - 6*k - 7. Let r(y) = -y - 1. Let f(l) = i*r(l) - n(l). Give f(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*1 - (9 + -5 - 2). Let k be (3 - -6)\/(l\/10). Suppose k = m - 10*m. Let h(o) = -2*o**2 - 7*o + 1. Calculate h(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010101 - -101001010?\nAnswer: -111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in 0.4, -1, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 4*r + 11*r + 14*r.\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3788434, -3788428, -3788424, -3788422?\n\"Answer: -s**2 + 9*s - 3788442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-128*l - 3*l + 74*l)*(0 - 3 + 1)*(0*l - 9*l + 2 - 8*l) in the form f + h*l + r*l**2 and give h.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 275\/7016?\nAnswer: 275\/7016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = -2*c - 3, 4*o + 29 = 3*c. Let v = -18 + 16. Let d be -3 + 5 - (v + -8). Calculate the greatest common divisor of d and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 144 = 5*j, -2*j = -3*o - 43 - 321. Let y = o - -201. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 5*f + 8, 0 = u - 0*f - 2*f - 6. Let q(y) = -y**u + 18*y**2 - 15*y**2. Let v(g) = 4*g**2 - 4. Calculate q(v(k)).\nAnswer: 32*k**4 - 64*k**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 15) to base 16.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1038.70783 to 1 dp.\nAnswer: -1038.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -26 (b) 0.156 (c) -4\/7 (d) 0.1 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glngnhlhanll. Give prob of picking 2 h and 1 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1305856 and 864.\nAnswer: 35258112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9020218 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/5 - 5*t**3 - 87*t**2\/5 + 253*t\/5 - 28.\nAnswer: -(t - 1)**2*(t + 7)*(t + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13263.474563 - -1?\nAnswer: -13262.474563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -161*t**5\/20 - t**4\/12 + t**2\/2 + 3*t. Let j = -1 - 0. Is u(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118293 and 92321?\nAnswer: 253975071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90.83 + -92. Let z = 0.17 + x. Let v be (235\/(-75) - -3)\/((-6)\/9). Which is the second smallest value? (a) -5 (b) v (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 12 = -4*h, -h - 30 = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 5*r. Let z(l) = -l**2 + 10*l + 5. Let q be z(11). Calculate t(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(546\/65))\/((-8)\/(-12))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -2*r + 3*h, 3*r + 4*h + 88 = 151 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q + 8. Let r(x) = x - 1. Let c(t) = -24*r(t) - 3*w(t). Let u(o) = 2*o. Determine c(u(j)).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 0*s - 0*s. Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 39.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from ydjamem?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 193?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.17 + 2.77. Let c = -1706.74464142 + 1709.34464. Let x = c - p. What is x rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2\/55))\/(d**(-7\/4)*d)*d**18\/d*(d\/(d\/(d\/((d*d*(d\/((d\/(d\/d**6))\/d*d))\/d*d)\/d))))\/d assuming d is positive.\nAnswer: d**(5013\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*a**2 + 35*a**2 - 3169*a**3 - 7451*a**3.\nAnswer: -10620*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28269\/(-31410)*5*(16\/(-4))\/(-168)?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287 = 10*n - 3*n. Let z = 91 - n. Let v = z + 22. Does 21 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -753*y = -762*y + 72. What is the least common multiple of 177 and y?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d - 3. Let g(x) = 3*x - 5. Let n(l) = -3*l + 6. Let j(q) = 4*g(q) + 3*n(q). Let u be 1*-1 + 4 - 1. Let k(y) = u*t(y) - 5*j(y). Calculate k(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364582 divided by 2?\nAnswer: 182291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 962.7949 years in centuries?\nAnswer: 9.627949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 4:05 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 128*x**2 - 122*x + 30. What is the hundreds digit of w(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (184 - 99 - x**2 - 83 + 52*x)*(4*x - 6*x + x).\nAnswer: x**3 - 52*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 + -6.4. Let j = i - -3. Let d = -4 - j. Which is greater: d or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 784\/(-140) + 2\/(-3)*-9.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 1. Let d(m) = -10*m + 15. Suppose -5*v + 4*v - 30 = 3*t, 5*t = 3*v + 20. Calculate v*j(h) + d(h).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 247\/(504868\/(-504))*(1 - (-5)\/(-6))?\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5326 rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -11013?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cww when three letters picked without replacement from {w: 6, c: 10, u: 1}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 299 - b**4 - 7*b**3 + 87 - b**3 + 6*b**3 in the form g*b**4 + k*b**3 + z*b + d + m*b**2 and give d.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2777*r**2 + 5473*r**2 - 2732*r**2.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**5\/60 + a**4\/6 + 5*a**3\/6 + 5*a**2. Suppose -1 = x + i - 9, 4*x = 5*i + 5. Suppose x + 3 = -2*o. Determine h(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -69*y**2. Let n(m) = -5418*m**2 + 2*m + 1. What is n(l(i))?\nAnswer: -25795098*i**4 - 138*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2442 + -0.2437467. Round s to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2733368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -1041243?\nAnswer: 1041242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 469 + 1115. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/133*(-4277)\/(-1222)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/33)\/(24256\/4169).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {g: 1, t: 6, h: 1, v: 5, m: 1}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7759444 and 1947.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 156, 2, -1, 4 in decreasing order.\nAnswer: 156, 4, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/4*(-3 - 11\/(-5)). Let b be h*26199999 - 4\/(-2). Suppose 16*d + b = 14*d. Round d to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -120 (b) -0.4 (c) -0.1 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 - 3*z**2 - 3*z. Let x be s(-2). Solve 0 = -2*f - 5*r - 25, -f + x = -3*r - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from {y: 1, b: 2, j: 1, q: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**2 + 8*i**2 + 0*i**2 - 21*i**2 + 6*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 317238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**4 + 3*v**4 + 2*v**4 + (-4*v + 2 - 2)*(-2*v**3 - 38*v**2 + 38*v**2).\nAnswer: 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -644 greater than -90219\/140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -0.7, 0.3, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 449259005 a multiple of 762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - 100101000001010100110?\nAnswer: -100101000001010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19896734.\nAnswer: 2, 11, 13, 73, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-1))\/(5\/45). Let w = j - -107. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + q - 2*q - 21, 0 = -2*p + 4*q + 12. Suppose 0 = -g, -p*j + 0*g - 5*g = -540. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 6, s: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from lolgnllo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7200)*1 - (sqrt(350)*1 - sqrt(350))\/sqrt(7))\/((3*sqrt(110)*2 - sqrt(110))\/sqrt(11)).\nAnswer: 12*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 425 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f + 6*f = -5*c - 98, -2*f + 29 = -c - c - 3*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(((-987)\/42)\/47)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w + 24. Suppose 3*n = 3*h + 48, n - 2*h - 18 = -0*h. Suppose -25*u + 27*u = -n. Let d be i(u). Calculate the highest common divisor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 184?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -103299858*x + 155396111 wrt x.\nAnswer: -103299858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9992 - -9992. Does q = 4719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (-20)\/23)\/(-125). Let h = s - 71929\/51750. What is the common denominator of h and 81\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) + -5 - (2*sqrt(5) + sqrt(5) - sqrt(5))**2*4.\nAnswer: -85 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2101005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -22, -18.33, 2\/11, -1\/2?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 623, -12, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**5\/60 - y**4\/2 + 4*y**3\/3 + 3*y**2. Let a be d(-12). What is the highest common divisor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, 2, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 21*f**2 - 87*f - 133. Let g be k(8). Let l(v) be the second derivative of -9\/7*v**2 - 6*v + 5\/14*v**g + 0 + 1\/28*v**4. Factor l(q).\nAnswer: 3*(q - 1)*(q + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -48*d**2 + 3131*d - 48443. Give t(40).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 464288 and 1314?\nAnswer: 462974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Let k be (3 + 21\/(-15))*50\/(-4). What is the third biggest value in b, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 781043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 642.11439941 - -775.\nAnswer: 1417.11439941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i = 2*w - 20, -i + 6 + 100 = 339*w - 336*w for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 458 - 309. Let t(l) = -l**3 + 77*l**2 + 233*l + 601. What is the remainder when x is divided by t(80)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.011585 and -0.1.\nAnswer: 0.0011585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -222, 7, 1112, 3525, 7678, 14003, 22932, 34897?\n\"Answer: 72*l**3 + 6*l**2 - 293*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*p + 375 = 0, -p - 36 = 2*z - 286. Let j be (z\/10 + -5)*(-8)\/(-12). What is the greatest common factor of j and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -37*g + 11. Calculate the remainder when w(-1) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**5*w\/(w*w**(2\/21)*w))\/(w**(2\/31)*w*w\/((w**(2\/19)\/w)\/w*w)*w))**43)**(-41) assuming w is positive.\nAnswer: w**(-20618285\/12369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 564784037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 15*h**5\/2 - 363*h**4\/4 - 177*h**3\/2 + 39*h**2\/4 = 0?\nAnswer: -1, 0, 1\/10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 37 = -2*k + 36, 0 = 3*k - 5*a. Let z(g) be the second derivative of g**3\/3 + 2*g**2 + 2*g. Give z(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 5*o**2 + 9 + (2*o - 4*o + o)*(2*o - 1 + 1))*(80 - 31 + 71) in the form g*o**2 + c*o + p and give g.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 - 4.95. Let g(j) = -136*j**3 - 2*j**2 + j + 1. Let x be g(1). Let v be (-2)\/((x\/4)\/(-2)). Which is the nearest to 1? (a) -1\/5 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/7)\/y)\/y)\/(y\/(y\/y**(-1\/7))) assuming y is positive.\nAnswer: y**(-11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19592 = 74*g - 10600. What is the smallest common multiple of g and 7?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*270\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21509263.\nAnswer: 101, 173, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -3 (c) 1169 (d) 11\/3 (e) 8 (f) 4 (g) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 910731 divided by 13593\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174923 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -0.24, 1292?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - -4. Calculate the remainder when 10\/30*-5*-12 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1321082121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5499 and 445536?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 5500379042.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 1. Let u = -127 + 140. Let d(j) = 5 + 56*j - 65*j - u. Let y = -19 + 43. What is y*p(v) - 3*d(v)?\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + ((sqrt(85) - sqrt(85)*2)*6 - sqrt(85)) + 1*-1*sqrt(85))\/((2*sqrt(25))\/sqrt(5) - sqrt(45)\/(sqrt(9)*-2)).\nAnswer: -14*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.36 in 4, -0.5, -2\/39, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 419 - 1. What is the remainder when k is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, a: 2, k: 2}. Give prob of sequence aa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 8 = 7. Let t be o\/(-5) - (-140)\/100. Suppose 3*q = t*z - 673 - 4, 4*z - 1304 = -4*q. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1059535 and 4293905?\nAnswer: 81584195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -47 + 29. Let s(w) = 2*w + 24. Let g be s(y). Solve g + 4 = d + 3*c, d + 5*c = 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125 - 100. What is the remainder when l is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*n*z**2 - 299*n*z - 2*n - 10*z**2 - 4*z - 2 wrt z?\nAnswer: 84*n - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**3 - 71626*i**2 + 4*i - 940144 wrt i?\nAnswer: -3*i**2 - 143252*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 0*z**4 - 1\/6*z**6 + 0*z**5 + 2\/3*z**3 + 0 + 0*z**2 - 2*z. What is the second derivative of c(g) wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6060217017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5344952, 10689827, 16034702?\n\"Answer: 5344875*d + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2\/9 + 2714*d\/9 - 47011\/3 = 0. Calculate d.\nAnswer: 53, 2661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 6:35 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - ((sqrt(133) - 5*sqrt(133))*-3 - sqrt(133) - sqrt(133) - sqrt(133) - sqrt(133)))\/(3*(sqrt(42)\/sqrt(6) + sqrt(7)))*2.\nAnswer: -7*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 205*(-550)\/(-117260)*52?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -0*k - 2165. Let z = 338 - k. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 9:12 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 4.5. Let t = -22.2 + 21.9. Is t less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 267*l - 408. What are the prime factors of p(13)?\nAnswer: 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2533\/255*(2594\/(-8) + 1). Let u = -3210 - f. What is the common denominator of ((-34)\/(-12))\/((-8)\/28) and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 687394*f**3*g**3 - f**3 + 40*f*g**4 + 3557759*f*g - 4*g wrt g.\nAnswer: 4124364*f**3*g + 480*f*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6642 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5241324 and 736935?\nAnswer: 1913083260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21971 and 2.\nAnswer: -43942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*7*29\/58\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 15282932.\nAnswer: 168112252","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31429269 is divided by 406?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8577 or -32\/1263?\nAnswer: -8577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 11 + 0 - (-2 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - v. Let f(o) = 5*o**3 - 7*o**2 + 5*o + 3. Let q(a) = -f(a) - 4*y(a). What is the tens digit of q(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**3 + t**2 - t - 1. Let g be q(-2). Let c be (4\/(-6))\/(6\/g). Suppose -a = c*a - 260. What is the highest common factor of a and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5 (b) -1\/5 (c) 1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 2 + 2)*(-58*k**3 + 555*k**3 - k - 10*k**3).\nAnswer: 1461*k**5 - 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1828737 * -2\nAnswer: 3657474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -537 - -814. Let k = -1567870526 + 1567870803.0000358. Let n = k - r. Round n to 6 dps.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119165, 238336, 357507?\nAnswer: 476678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4137521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -107*s**4 - 6*s + 1046.\nAnswer: -428*s**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, a: 4, x: 4}. Give prob of picking 3 x.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a. Let g(l) = 7*l. Let x(u) = 1. Let q(v) = 6*v - 6. Let n(h) = -q(h) - 6*x(h). Let p(y) = 3*g(y) + 4*n(y). Determine p(c(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 25+-616543.8\nAnswer: -616518.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 9*z**2 - 10*z - 1. Let j be q(10). Let t be (57\/9)\/((-10)\/12 - j). Let x = t - 41. Sort 24, -1\/3, 0.4, x in descending order.\nAnswer: 24, 0.4, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -2*x. Suppose -i - 3*d = 2*d + 7, x*d = -3*i + 1. Differentiate i + 0*k - 4 - k with respect to k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18686540?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 539 and 1328996130.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yycyccceyye. What is prob of picking 2 y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + r. Let l(f) be the second derivative of 1\/48*f**4 + 2*f + r*f**2 - 1\/10*f**5 + 0 + 1\/12*f**3 + 1\/24*f**6. Let l(w) = 0. What is w?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 320457\/14648 - 4\/1831. Which is bigger: c or 1\/63?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86147 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*1*(-432)\/(-90). Suppose 5*g - m = -299. Let k = 156 - g. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 532.\nAnswer: 4256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2970*p**2 - 396*p**3 + 7 + 5940*p**2 - 2969*p**2.\nAnswer: -396*p**3 + p**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17061774, 34123513, 51185250, 68246985, 85308718?\nAnswer: 102370449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*(sqrt(18) + sqrt(162)) + sqrt(18) - -2*sqrt(36)\/sqrt(2))\/((sqrt(3402)*2 - sqrt(3402))\/(sqrt(448) - -2*sqrt(448) - sqrt(448))).\nAnswer: -16*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11 - 1)*(3 + -7). Let c be (454 + 1)*(-48)\/s. What is the units digit of 2\/(-6) - c\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*a - 4*u, 3*u + 35 - 8 = 3*a. Let j be (1 - (0 - 4))*(-3 - -4). Solve 5*y = -0*y + 5*r + j, -4*r - a = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-177)\/118 - 10\/4. Which is the second biggest value? (a) 2 (b) -1 (c) 2\/3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 991743 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20825548 divided by -5206387.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 11) to base 6.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b + 23 = 3*v, 12 = -4*b + 4*v. Suppose 0 = -4*h - h + 95. Calculate the remainder when ((-665)\/(-38))\/(b\/4) is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(567) + 0))**2 + -4 + -2*sqrt(567) + sqrt(567).\nAnswer: -9*sqrt(7) + 563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 2:32 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 326580555 divided by 3\nAnswer: 108860185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3*f + 1731, 2*r - 5*f - 662 - 2794 = 0. What are the prime factors of r?\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnmmnnmnmmnmn. Give prob of sequence mnn.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, n: 4, h: 7, v: 4, z: 1, f: 2}. Give prob of sequence zvn.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5646 (base 7) to base 2\nAnswer: 11111111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p**3 - 243*p**2 + 762.\nAnswer: 9*p**2 - 486*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -48476688 - -2?\nAnswer: -48476686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2) + 603\/(-18). Let g = -28 - w. Suppose 6*x - 25 - g = 0. What is the least common multiple of x and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**5\/20 - b**4\/12 + 158*b**3 + 326*b**2 + 6*b + 34. Find the first derivative of n(p) wrt p.\nAnswer: 3*p**2 - 2*p + 948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -109, -109, -111, -115?\n\"Answer: -k**2 + 3*k - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -g - 2*g. Let k(n) = n**2 - 2*n + 2*n + 1 - n**g. Let x(o) = -o**3 - 4*o**2 - 5*o - 4. Let i be x(-3). Give k(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-86 - 485 + 196 + 2*u + 22)*(u + u - u) to q*u**2 + t + j*u and give j.\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1200440 - 2?\nAnswer: -1200442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/880*5)\/(167\/501).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, r: 1}. Give prob of picking 1 r and 1 e.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 3108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1518.3 - 1518.30006199. What is h rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -714*s + 27. Let c(n) = 55*n - 2. Suppose -24*l + 14 = -292*l - 522. Determine l*y(o) - 27*c(o).\nAnswer: -57*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 143276 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 57 = 3*c - 28, 3*c - 47 = -2*m. Suppose -120 = 3*y + y. Let p = y + m. Is p != -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 17. Are 17 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + u - 6032, -4*s + 2667 + 5389 = -2*u. Let y = 3034 - s. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by 534.\nAnswer: 37\/534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1974)\/(-135548)*2\/5)\/(1*(-3)\/5)?\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9794848 divided by -16772.\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 860*t - 2579*t + 859*t + 855*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*x - 74 = 0, 2*p - 2*x - 84 = -2*p. Round p to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -216*u**6 + 405*u**2 + 3*u wrt u?\nAnswer: -25920*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**5 + 11*n**4 - n**3 - 9*n**2 - 6*n + 3. Let j(g) = -g**5 + 5*g**4 - 4*g**2 - 3*g + 1. Let x = 6 + -4. Let l(a) = x*q(a) - 5*j(a). Factor l(z).\nAnswer: -(z - 1)*(z + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22779, -22670, -22543, -22392, -22211, -21994, -21735?\n\"Answer: b**3 + 3*b**2 + 93*b - 22876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3)\/(a*a\/(a\/(a\/a**(-5))))*(a**0)**(-37))**(-21))**15 assuming a is positive.\nAnswer: a**3150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/32?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74524 by 1202.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 517880 bigger than 7250307\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - j - 2. Let c be 0\/(2\/2*1). Let m(y) = y**3 + y - 3. Let r be m(c). Calculate x(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2. Let x(p) = -89*p + 10. Let i(n) = 178*n - 25. Let m(u) = 2*i(u) + 5*x(u). Give m(b(z)).\nAnswer: 89*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -86*j**2 + 4708*j + 1213. Determine z(55).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 4*a + 4*d, a + 4*d = -a - 58. Let n be a\/30 + 2\/(-12). Sort -2, n, 1 in ascending order.\nAnswer: -2, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - ((21 - 8) + -21 + 14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4765 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -2*s - 33, -31*s - 30 = -29*s + 4*a for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -368, -868, -1522, -2336, -3316, -4468?\nAnswer: -5798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 3*r - 7 + 1)*(-2*r**4 + 6*r**4 - 2*r**4).\nAnswer: 2*r**5 - 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - ((16 - 46) + 34).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2344 and -11196?\nAnswer: -26243424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/10*((-290)\/(-28) - 10). What is the second biggest value in 7, a, -7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 y when three letters picked without replacement from cycyzczwc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 4*f - 100088, 0*f + 4*f + 50056 = 2*m. Let q be (m\/4)\/(2\/157). Let u = q + -291096. What is u rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0 (b) 0.07 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 279053843 divided by 6?\nAnswer: 279053843\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/170*(-190)\/(-114).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 36 = -0. Let k(u) = 2*u - 7. Let w be k(6). Suppose -w*n + o = -184, -n - 4*n - o + 176 = 0. What is the highest common divisor of n and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 6*d**2 - 9*d - 6. Suppose n = 1, -2*n - 11 = 4*q - 5. Let x be q\/4*(2 + 12). What is the units digit of c(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-19)\/1368)\/((-1)\/(-2)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 2:47 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.416 - 2151438134611?\nAnswer: -2151438134610.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1617 + 409 - 582 - 4 + 3 - 1 + 2 - 1 - 2 + (-3 + 4 - 3)*(-4 + 3 + 3))*(2*w + 0*w - 3*w) in the form x*w + i and give x.\nAnswer: 1797","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5)\/((-80)\/1200)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from {d: 2, l: 1, y: 14}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39125\/9 + -4347. What is the closest to -2 in 0.13, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from zttt?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 54492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*i + 117*i + 48 = 0. What is the second smallest value in 5, i, -17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27205.4 - 27205. Which is the third biggest value? (a) m (b) 10 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y = 32*y - 19 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 8*h + h. Suppose 2*v = h*a - 664, v + 0*v = 2*a - 668. Is 50 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 3. Let t be i(6). Suppose -t*h + h = 6. Let j(n) = 5*n**2 - 152*n - 3*n**2 + 309*n - 154*n - 3. What is j(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from gxxgxgx.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -29 + 30\/(-4)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 + 21 = 0. Let z(v) = 8*v + 1. Let d be z(1). Suppose 3*h = -d, -3*w - 3*h = -h - 105. What is the remainder when w is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4440 and 182595.\nAnswer: 1460760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2102*171\/(-162) + (-2)\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.98, 2\/77, 10 in decreasing order.\nAnswer: 10, 4, 2\/77, -0.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1492 + -826. List the prime factors of d.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 489 - 490. Let j be (1 + (-16)\/6)*3. Which is the closest to j? (a) 0.5 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p - 2. Let q(g) = -69*g - 92. Calculate -138*a(z) + 3*q(z).\nAnswer: -897*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 640\/2233 - -182\/319. Factor 4\/7*x**3 + j*x + 9\/7*x**2 + 1\/7.\nAnswer: (x + 1)**2*(4*x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - -49) + (316 - 285).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3572963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.89706 - -1?\nAnswer: -11.89706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -23. Let u be (14\/t - -2)*-15. Suppose -2*q = -u*j + 503 + 565, 0 = -5*j - 3*q + 1073. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 3*l - l + (0 + 0 + 3)*(0*l + l + l) + l + 6 + 4 - 6)*(3 - 1 - 3).\nAnswer: -9*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 18. Let i(l) be the third derivative of l**4\/12 - 4*l**3\/3 + 3*l**2. What is the units digit of i(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f**5 + 3*f**5 + 2*f**5 + (-2*f + 4*f - 3*f)*(7*f**4 - 3*f**4 - f**4).\nAnswer: -5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x**2 - x**2 - 3*x + 3*x**2)*(-390719 - 669*x**2 + 390719) as o*x**3 + a*x**4 + d*x**2 + b + l*x and give a.\nAnswer: 1338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.4361 - -0.0561. Round j to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 20*t + 37. Let k be d(18). What is the greatest common factor of k and 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**2*g**2*n**2 + 14*d**2*g*n**2 - 509198*d**2*n**3 + 137*d**2*n**2 - 147*d*n**2 - 2*g**2*n**3 - 2*g**2*n - 3*g*n**3 wrt n?\nAnswer: -3055188*d**2 - 12*g**2 - 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4181931 is divided by 433.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*4*6 - sqrt(22)\/(sqrt(11) - (-4*sqrt(1584) + sqrt(1584))))**2.\nAnswer: 157673282\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000463294 rounded to seven decimal places?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 153185 = -221587. Let x = m - 8307477\/266. Find the common denominator of -63\/20 and x.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-277)\/(-831)*1*-12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) - 35\/4. Let z(r) = 2*r + 8. Let n be z(h). Let d = -11 - n. Which is smaller: -7\/4 or d?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*g - 59*g = 4*p, g - 5*p = -11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 18613 = -5307*f + 5310*f, 0 = -2*z + 4*f + 7466. Calculate the least common multiple of z and 6.\nAnswer: 22350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -69243, -138464, -207685, -276906, -346127, -415348?\n\"Answer: -69221*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-6 + -3 - (11 + -17 - (-6 + 4))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1717149 and -30.\nAnswer: 51514470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u - 116*u**5 - 20*u + 6*u - 3*u - 12*u wrt u.\nAnswer: -2320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 23*u - 25 = 5*a, -2*a + 2*u + 6 = 0. Let l(m) = 46*m**2 + 8*m + 7. What is the smallest common multiple of 55 and l(a)?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*2\/4 + 1. Let b(x) = 2*x + x**2 + 1 + 0*x**v + 2*x. Suppose -14*l + 6197 = 8*l + 6307. Give b(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 0*r + 3*r - 1 + 0*r. Let j be o(1). Let a(t) = -t + 16. Let p be a(6). Solve c = -5*w - p, -2*c + 4*w + j = 3*w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 10*i**2 + 8*i + 11. Suppose -200*k = -191*k - 36. What is the remainder when y(k) is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t - 3*t + 5*t. Let i(s) = 2*s**2 - 6*s - 6. Let a(x) = -x - 1. Let w(p) = -6*a(p) + i(p). Determine w(z(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (36 + 1808\/(-48))*(-5)\/(40\/(-12))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84*j**4 - 7*j + 2.\nAnswer: -1008*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 534543 - -1?\nAnswer: 534544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 160 = 3*m - 169, -5*g + m = 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(4\/(-4))*5\/(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4070*g + 147084 = -568*g for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 95075139 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 8*y**3 - 5*y**2 - 28*y**3 - 3 - y + 2 - 2*y**4 as g*y + c*y**2 + i*y**4 + l*y**3 + p and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 1715334.134228?\nAnswer: 1715330.134228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 7. Let v be n(8). Is -4\/11 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 24. Let q be v(-19). Suppose 0*h - 3*h + 1201 = -q*p, -1612 = -4*h + 4*p. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/3975 and -25\/318?\nAnswer: 7950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -26*(-5 + (-36)\/(-8)). Suppose -5*n + c - 33 = 0. Let k be (192\/120)\/(3\/((-30)\/n)). Solve k*p = -0*q - q - 8, -4*q - 4 = 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 69, 93, 127?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6259642 weeks to nanoseconds.\nAnswer: 378583148160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 1. Let c(x) = -2*x**2 - x - 1. Let p = 1 + -4. Let a = p + 7. Suppose a = q - 5*q. Give q*g(d) + c(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 50050?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 + 2. Let o(p) = 1 - 12*p - p**2 + 12*p. Suppose 0*j = 5*j - 15. Calculate j*o(h) - a(h).\nAnswer: -h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Is 8 a factor of ((-112)\/(-20))\/(p\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o**3 + 7*o**2 + 4*o**3 + 2*o**3. Let k be w(7). Suppose -p = 2*a - 14, -2*a - 2*p - 4 + 18 = k. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12513820.\nAnswer: 2, 5, 11, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - -4. Suppose -3*w - 2 = -i. Suppose -w*h = -46 - 34. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66148)\/(-11504)*48\/(-3)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 7*a + 10. Let c be j(-4). Suppose 2*d - 11 = -1. Suppose -10 = -d*r - 5. Put c, -3, r in increasing order.\nAnswer: -3, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048758 minus 115?\nAnswer: -114.951242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29175 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -741075, -741076, -741077, -741078?\nAnswer: -741079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1196976 and 158400.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2. Suppose 4*u = 16 + 28. Let x be 123\/u + (-4)\/22. Let l(b) = -b**2 + 11*b - 11*b**2 - x*b. Determine t(l(w)).\nAnswer: 288*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 309\/18 + (-2)\/12. Let z = 17 - j. Solve 0*d - 3 = -2*w + d, -2*w - 2*d + 12 = z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/12*9\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*a + 12, -5*a - m = -3*a. Let f be (-644)\/(-16) + a\/(-4). What is the greatest common factor of 30 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -81*h**4\/2 + 50*h - 142. What is the derivative of r(l) wrt l?\nAnswer: -486*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*t - 3*d = 229*t - 378, -5*t = 2*d + 84 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1377396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -475*x - 9868. Determine k(-21).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (16390\/(-15))\/(-7 + (-1870)\/(-270))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39306 take away 120849?\nAnswer: -160155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26072 - 23962. Calculate the remainder when d is divided by 697.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18241 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5))**25*(c**0)**22 assuming c is positive.\nAnswer: c**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 93*y**2 + 16*y - 2. What is the tens digit of g(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 123 + -110. Let v(r) = -r**2 + 4*r. What is the remainder when u is divided by v(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -2201373\nAnswer: -2201351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/6*(-12)\/10. Suppose 0 = 3*g + 2*q - 185, 96 = y*g - 3*q - 36. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114585.\nAnswer: 3, 5, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -1\/4 (c) -4\/7 (d) 322\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 1 - 1. Suppose -5*c = -5*l, 2*c - 20 = -r*l - 4. Suppose -2*p = -c*a + 42, a - p - 10 = -0*a. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 7. Let g(c) = 0 + y + c**2 - 4*c - 5. Let f be g(-6). What is the greatest common divisor of 38 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -286, -653, -1116, -1675, -2330, -3081?\nAnswer: -3928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*b + 196*b + 7397 = -325*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123320 + -122?\nAnswer: -130102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89 + 98. Let d be 14*(2 - i\/6). What is the greatest common factor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 23*q - 123. Let s be j(4). Are s and -1\/1019 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2.2. Let x = -55 + 59.7. Let n = -4.5 + x. What is the closest to j in n, -2\/17, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2292 = -9*b + 6*b. What is the common denominator of 12\/(-42) - b\/(-126) and 59\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 181*r + 155. Let p be v(0). Let j be (186\/(-15))\/((-1)\/5). Calculate the highest common factor of j and p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4*h = 26, 3*y + 5*h = 2*y - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -53.51. Let h = 0.31 + v. Which is the biggest value? (a) -4 (b) h (c) 1 (d) -2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/12)\/(130\/325*25\/6).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 1:43 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(513)\/sqrt(324))\/sqrt(3).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10189 + 10762. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1318236 (base 9) to base 13.\nAnswer: -1c3341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 4*k + 2. Suppose 5*f + 4*c + 40 = 0, -5*c = f - 3*f + 17. Let d = f - -2. Let v be d*(1 + 1 - 0). Give u(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 24 = 26 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -82 - -63?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.12053.\nAnswer: 0.24106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3\/(f\/(f**3*f)))\/(f*f*f*f\/f**(1\/7)*f*f*f**(-2\/9)) assuming f is positive.\nAnswer: f**(23\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a decade in months?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171 and 27873?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(3\/(-7)*(-770)\/825)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmmhmmhmhhmhhmmm. What is prob of sequence hmm?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59\/24 + 7\/3. Let j = 10 + -10. Sort -3, u, j, 4 in descending order.\nAnswer: 4, j, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*(-12)\/((-24)\/12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 6 + 2. Suppose -3*o - 2184 = -15*o. Let y(x) = 183*x + 0 - o*x - 1. Let z(p) = 1. Determine t*y(k) + z(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 1. Let j(i) = -6*i + 5. Let v(s) = 3*j(s) - 15*k(s). Let r be v(1). Let z(f) = -f**2 - 4*f. Determine z(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/94 and -71\/200.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.15811\nAnswer: -0.79055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 672537.7995.\nAnswer: 672537.2995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16631816989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2013 + 3?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + 66 + 19 + (-76 - 7).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 1020554?\nAnswer: 1020560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -152 or -150?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30922709*o**5 + 26586689*o.\nAnswer: -618454180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5807606 and 1062.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22930000 rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.41 > -1.157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -13*n**2 - 1749*n + 63. What is the hundreds digit of t(-122)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10109280 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -142*x**3 + 142*x**3 + 9*x**4 + 9*x wrt x.\nAnswer: 108*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 378760049?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 4*t - 8, -3*t + 1 + 2 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 + 5*c**2 + 112 - 48*c**3 + 116 + 133 - 359.\nAnswer: -48*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1264 and 1825690?\nAnswer: 14605520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2137 - 13*w + 2*w + 2157 + 62*w**2. Let i be h(10). Round i to the nearest 100.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 8538, -5, 43 in descending order.\nAnswer: 8538, 43, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 12 = -5*y. Suppose -y*t - 21 = -9*t. What is the first derivative of 3 + 0 + 2 - t*z**2 + 2 wrt z?\nAnswer: -14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 + -81. Suppose -x + w = 8. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 6*p. Let a(l) = 5*l**2 - 25*l. Let d(y) = -6*a(y) + 25*g(y). Let w(i) = 96 + 350*i + 395*i - 96 - 789*i. Determine w(d(f)).\nAnswer: 220*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(64) + sqrt(12) + -2 - (2*sqrt(432))\/sqrt(9).\nAnswer: -23*sqrt(3)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -4*c - f, 0*c - 3*f + 47 = 2*c. Solve -p + c = -5*x - 2, 2*x - 4*p = 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -1\/3 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5201190, -10402381, -15603574, -20804769, -26005966?\n\"Answer: -a**2 - 5201188*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 413*w**2 + 18*w - 6. Let r(m) = 3*m**2 - 2*m + 1. Determine k(b) + 6*r(b).\nAnswer: 431*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - -90. Is t a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 2*h - h. Let c(t) = t**2 + 8*t. Let f be c(-8). Let u(g) = g**2 + 0*g**2 + f*g**2. What is u(d(k))?\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 18 - 2*j**2 - 4*j**2 - 15 - 3*j.\nAnswer: -6*j**2 - 3*j - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 + 157710*x**3 + 33177900*x**2 + 2323825000*x + 54238590000.\nAnswer: -2*(x - 79065)*(x + 70)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 5 + 2*t + 5*t + 3*t.\nAnswer: 10*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7676848 and 1840?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**3 - 14*j**2 - 134*j + 139. Is 13 a factor of l(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*i**3 - 1170*i**2 - 1495*i + 2640 = 0. Calculate i.\nAnswer: -11\/5, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 100444 (base 5) in base 4?\nAnswer: 302301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 51*c + 24*c + 30*c as k*c + z and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.4385413 millennia?\nAnswer: 43.85413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (87\/870)\/(12\/(-280))*(-6)\/623?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/5*(-125)\/(-10). Calculate the common denominator of ((-118)\/(-2))\/(u - 1) and 115\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -411, -2, 39 in increasing order.\nAnswer: -411, -2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/47, -3, 2, 10.09, -2\/11.\nAnswer: -3, -12\/47, -2\/11, 2, 10.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w - 20. Let d be 175\/10*8\/w. Let f(c) = 2*c**2 - 8*c - 8. Let s be f(-6). What is the highest common factor of s and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4007, -7920, -11817, -15704, -19587, -23472?\n\"Answer: -p**3 + 14*p**2 - 3948*p - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in -11, -4\/7, 4, -24\/5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.09858 - -0.09858. Put f, 0.1, 0.3, -5\/8, 1\/8 in increasing order.\nAnswer: f, -5\/8, 0.1, 1\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 10. Let o(p) be the third derivative of -p**5\/60 + 5*p**4\/24 + 2*p**3\/3 - 267*p**2. Let a(t) = 2*t**2 - 6*t - 5. Calculate q*o(x) + 3*a(x).\nAnswer: 2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*u - 87.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**5\/40 + d**4\/24 - 2*d**3\/3 - 7. Let c(y) be the third derivative of h(y). What is the derivative of c(i) wrt i?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3738 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1063210, 1063235, 1063276, 1063333, 1063406, 1063495, 1063600?\n\"Answer: 8*p**2 + p + 1063201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjjjjjjjhjjjhj. What is prob of sequence jh?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q = -28*q + 4. Sort 3, 2, -5, q.\nAnswer: -5, q, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-186)\/341*(-4)\/16)\/(-2 - -1)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-2 - 52\/(-14). Which is the nearest to -2\/3? (a) q (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 9) to base 2\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in -1\/2, -2, -4, 54, -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 0 - 2\/3*a**4 + 0*a**5 + 0*a**3 + 2\/3*a**6 - 4*a + 0*a**2. What is the third derivative of v(j) wrt j?\nAnswer: 480*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*b - 5. Suppose -12*p + 31*p - 76 = 0. Solve 8 = -b*d - p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - -8) + (-164 - -113)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*c + 3*s, -40 = -7*c - 3*s - 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13222 + 4?\nAnswer: -13217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 20 = -4*i, 7*i - 2*i + 16 = 4*s. Let b(l) = l**2 - 8*l - 40. Let w be b(12). Does 16 divide (s - 10)\/((-1)\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4667 divided by 9\nAnswer: -4667\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -1\/3 (b) 2 (c) 5.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 36.4, 2\/35.\nAnswer: -3, 2\/35, 36.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12906 + -12905.92. Which is the closest to -2? (a) 0 (b) -0.5 (c) r (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((28*(-1)\/(-10))\/1 - 2)*(-66130)\/(-85969)\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -44, -21 in decreasing order.\nAnswer: 3, -21, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j - 3. Suppose 3*i + 6 = 0, 0 = -z - 2*i - 5 + 6. Suppose -z = -5*t + 10. Let l be h(t). Sort -1, l, -1\/4 in decreasing order.\nAnswer: l, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3\/3 - 3026*p**2 + 191612*p\/3 + 139840 = 0.\nAnswer: -4560, -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-9))\/7*9\/(-22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 23*o + 19. Let i be r(-22). Let z = 0.3 - -0.7. Which is the closest to i? (a) z (b) 0.2 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2. Let z(o) be the first derivative of -o**5\/10 + 4*o**3 + 17. Let a(q) be the third derivative of z(q). Give u(a(r)).\nAnswer: 576*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31732 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: -313140 divided by 886\nAnswer: -156570\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2891633 micrograms to kilograms.\nAnswer: 0.0000000002891633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 247570 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + n - 1. Let c(r) be the third derivative of -1\/12*r**4 + 0*r + 2*r**2 + 0 + 1\/3*r**3. Give -4*c(g) - 8*w(g).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(-68))\/((-24)\/(-2000)) + 2\/12?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4610000 rounded to the nearest 100000?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2159317?\nAnswer: 97, 113, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*7\/(-2)*-12*(-7)\/49.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-4\/15)\/o)**(-1\/7)\/(o**(-23)\/o**(-1\/34)) assuming o is positive.\nAnswer: o**(82141\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/(4446\/(-3289)) - 42.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*u = -30. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19278335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 240049639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.82 - 7. Round g to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -3, -0.1, 2\/3, 7\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19224.62 nanograms in grams?\nAnswer: 0.00001922462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 r when two letters picked without replacement from {f: 5, n: 2, r: 3}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*w + 190*w - 18293 = 6733 for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxrcsx. Give prob of picking 2 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -120 and -0.031286.\nAnswer: 3.75432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/4 - -4)\/(3*2). Let u = -0.03 - -2.03. Put -1, u, p in descending order.\nAnswer: u, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/1008 and -145\/1224.\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, y: 1, k: 3, n: 6}. What is prob of picking 3 k?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 33 = 2*f. What is the smallest common multiple of 9\/3 + (-5)\/(15\/6) and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88.1 - -88. Which is the closest to w? (a) 2\/7 (b) 3\/5 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1753349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-2 - 5)) + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0\/5*(-2)\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**9\/(m\/(m**1\/m))*(m**(-4))**(-2) assuming m is positive.\nAnswer: m**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71113075.\nAnswer: 5, 11, 29, 37, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48.62 * -1.\nAnswer: 48.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x - 9*x + 12*x + 9*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -261 + 69. What is the common denominator of 13\/14 and 4\/14*450\/c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000065471 rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9*(2 - (-22)\/(-12))*-2. What is the third derivative of -d*b**5 + 4*b**6 + 3*b**5 - 10*b**2 + 17*b**2 wrt b?\nAnswer: 480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 110694.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -o - c, 21 = 4*o + 5*c. Suppose -o*q + 425 = q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 1189, -4, -7, -1 in descending order.\nAnswer: 1189, -1, -4, -7, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24530591.\nAnswer: 24530591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -157*k - 182*k + 37*k + (1 + 3 + 1)*(4*k + 0*k - 3*k).\nAnswer: -297*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/15)\/(24\/420)*15424\/(-1700496)\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.103502 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -10182*a**3\/5 + 61082*a**2\/5 - 91578*a\/5 - 18 = 0?\nAnswer: -5\/5091, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.8, -1, 111\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(576) + sqrt(576)*1).\nAnswer: sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*w - 1118*w**3 + 280*w**3 - 38*w.\nAnswer: -838*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.3, -3\/704, 11 in descending order.\nAnswer: 11, 0.3, -3\/704, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2*w + d - 15 = 0, -4*w - 41 = 5*d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.78 + -1.235. Let y = -2.5 + d. Let o = y + -0.045081. What is o rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2\/7 - 44*r\/7 + 96\/7.\nAnswer: 4*(r - 8)*(r - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 102032431?\nAnswer: 102032433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**5 + w**4 + w**2 - w + 1. Let y(x) = 2*x**5 - 4*x**4 + x**3 - 2*x**2 + 3*x - 3. Let s(z) = 3*l(z) + y(z). Let s(u) = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 163 - 162.9999684. What is f rounded to 6 decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19515029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21100010000 + -200022?\nAnswer: 21022102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/5 in 0.280801, -1\/5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbbvwhwwbbbbwbb. What is prob of sequence wwx?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 8*x - 2. Let l be h(-7). Suppose l*o - 28 + 8 = 0. Let 16*u**5 - 2*u**4 - 7*u**3 - u**2 - u**4 - 5*u**o = 0. Calculate u.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0198 <= 0.43262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(18) + -1)**2 - (sqrt(32) + 1)) + -1 + 5 + sqrt(72) + -3.\nAnswer: -10*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 419217073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - -67. Suppose -219*p = -215*p - d. What is the highest common divisor of p and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzqdddqzzqz. What is prob of sequence qq?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1. Let s(g) = -g**3 - 4*g**2 - g + 2. Let x(q) = 2*a(q) + s(q). Determine x(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8902*x - 2812*x - 1689387 - 5*x**2 - 165018 = 0 for x.\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 12:25 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 5 (b) -2 (c) 1\/5 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7\/26 (b) 1.16 (c) 0.01 (d) 2\/3 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88684.7 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 9*o**2 - 11*o + 10. Determine f(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-11)*t*t\/(t*t**(-3\/10)))**48 assuming t is positive.\nAnswer: t**(-2088\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - (-32 + -1)) + (-56 - -8)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 4958850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 31147.7 seconds?\nAnswer: 31147700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyaaayayaexyxaef. What is prob of picking 1 f and 1 y?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10\/8*(-243 + 239)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2 + 1 = -n, j - 14 = -4*n. Suppose 3 - 2 = w. Let t be (-1)\/(1*w\/4). Sort 5, n, t.\nAnswer: t, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*x - 1 - 2*x + x)*(10*x**2 - 1 - 12 + 14) in the form y*x**2 + l + z*x + s*x**3 and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -345611 by -97.\nAnswer: 3563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 19 = -2*l, -5*s + 5*l - 3 = 2. Let p(a) = -2*a - 2. Let i be p(s). Suppose -v + i*v - 159 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l - 92. Let j be p(-4). Is 12 a factor of (121992\/j)\/(-17) + 4\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 20*v + 136. Give a(-2).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (0 + 9 - 11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (64\/(-20) + (-1)\/(-5))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 7 (b) 78 (c) -1\/9 (d) 3 (e) -4 (f) -0.0971\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2\/3 + 222862492*r\/3 - 12416922585112516\/3 = 0.\nAnswer: 111431246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i = 5*u + 49, -2*i - 32 = 4*u. Let v = 3 - 0. Let t be ((-2)\/(-6))\/(v\/i). Which is the closest to -0.2? (a) 4 (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2303 (base 8) to base 7.\nAnswer: -3361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5498 - 5081. Calculate the remainder when c is divided by 104.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 7:04 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) -24 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2995 - -2990. What is the closest to -2 in -0.2, c, 8, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-27 - 1)*((-45)\/5 + 4)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.221201496 to 5 dps.\nAnswer: -0.2212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 215 and 946.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -3. Let u = -16 - k. Let l = u + 18. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7372860 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*(-1)\/(-2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1140 = -2*p - p. Suppose -u - 14 = 37. Let a = u + p. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5815182 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 60. Let u(f) = 203*f - 107. Give u(s) + 2*y(s).\nAnswer: 201*s + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u\/u**(-2\/13)))))**11 assuming u is positive.\nAnswer: u**(-22\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 12, m: 7}.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.1 (b) -2\/3 (c) 1\/7 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r + 2*v - 4826 = 19*r, 0 = 4*r - v - 4817. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/1026 and -71\/12?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1820525 divided by -35\nAnswer: -52015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t + 15. Let u(f) = 9*f - 30. Give -11*d(n) - 6*u(n).\nAnswer: 23*n + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7\/22 + 2\/11. What is the closest to d in 3, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 - -156. Let a = 85.3 - f. What is the closest to 0 in 4\/3, a, 3\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 * 11.\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (36\/(-45))\/((-4)\/(-10)). Let b be (-3320)\/(-110) - x\/(-11). What is the second derivative of -b*r + 100*r - 45*r + 40*r**4 wrt r?\nAnswer: 480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6630666 to the nearest one thousand.\nAnswer: 6631000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*l - 9*l + 1355 = -605 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -10 + 6 - 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46932 or 0.1?\nAnswer: 46932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*c + 3*f, -50*f + 52*f = -2*c + 30. Sort c, -5, -3.\nAnswer: -5, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 plus -297088237204?\nAnswer: -297088237205.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*(-1 + sqrt(325)))**2.\nAnswer: -978 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(170)\/(-6*sqrt(50)\/sqrt(5)))**2.\nAnswer: -sqrt(17) + 341\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -66*x + 399. Let c be m(6). Solve -5*b = c*i, b = -3*i + 11 - 23 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/882 and 131\/234.\nAnswer: 11466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -8. Let c(v) = -h*v + 1 - v + 0. Is c(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2960*d**3 + 1517*d**3 + 1440*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*r + 0*r - 8*r**3 - 3*r + 3*r wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3*x**2 - 2*x**2 + 2*x + 7*x**2 + x**3 - 3*x**3 to o*x**2 + p + i*x**3 + d*x and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 1)*(5 + 2*q - 3 - 6).\nAnswer: -8*q + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/28 + -17\/28. Let q be 68*(-1)\/(-2) - 1. Which is the nearest to d? (a) q (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/(-16))\/((-13)\/(-26))*(-168)\/28?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 348\/174*(-6)\/240?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-63)\/2) - 28\/(-693)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 2. Suppose -2*r + 36 = -r. Suppose z*g = r - 0. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2671139, 5342292, 8013445?\nAnswer: 10684598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -2 + 4 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -13 - (-52 - (-62 - -48))) + -129?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -440112 - 2432?\nAnswer: -443044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-12))\/((-20)\/6)*-4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, n: 1, e: 1, c: 9}. Give prob of sequence nce.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12697 times -1.2\nAnswer: 15236.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 729178.467?\nAnswer: 729181.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4860321, -9720642, -14580963?\nAnswer: -19441284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1294, -2728, -4162, -5596, -7030?\n\"Answer: -1434*n + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 225025 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2900 and 232?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 64*d**2 + 2 - 45680*d**2.\nAnswer: -45616*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 26*n**2 - 28*n + 27. Let t be z(27). Let c = -2 + 6. Suppose t = -c*o + o + 57. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 317711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**2 + 5*z. Let m(c) = 4*c**2 - 6*c + 1. Let y(b) = 5*m(b) + 6*r(b). What is the first derivative of y(u) wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 91916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3679 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4*d - 2 - 7*d.\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*v = 3*g + 39, 0 = -5*g - 4*v - 47. Let w be 6\/(-33) - (-150)\/(-22). Let l = w - g. Solve -4*s = l*q - 4, 0 = -2*s + q - 5*q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7404 by -6.\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from {t: 1, s: 10, d: 4, k: 2}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 - -49.9999885. What is u rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**4 + 15*t**3 + 41*t**2 + 33*t + 8. Let d(a) = 2*a**4 + 7*a**3 + 21*a**2 + 17*a + 4. Let z(i) = 5*d(i) - 3*h(i). Solve z(r) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 948.1505 centuries to decades.\nAnswer: 9481.505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -11. Factor 5 + 2 - 2*x**a - 5.\nAnswer: -2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3*w**(2\/3)*w)\/(w**(1\/2)\/w**(3\/8)) assuming w is positive.\nAnswer: w**(109\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u + 372. Let g(p) = 13*p - 1114. Determine 8*b(z) + 3*g(z).\nAnswer: -z - 366","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14865 > 44599\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 33033.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5614 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + w + 4*w + 114, -2*w = -4*u + 108. Let c be (-1)\/3 + u\/6. What is the first derivative of -2*g**4 - 2*g**4 + 2 + 3*g**c wrt g?\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*i - 404 = 133, 5*i - 895 = -5*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494121 is divided by 15938?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 1 + 0 + -1. What is the remainder when 24*5\/2 + n is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66689678569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.7, 2\/9, 532 in increasing order.\nAnswer: -2.7, 2\/9, 532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1027 from -6.\nAnswer: -5.8973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s)**(-8)*s*((s*s**(3\/7))\/s*s)\/s*s**(2\/9) assuming s is positive.\nAnswer: s**(-904\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -20, 2*w - 66 = -2*m - 16. Suppose 0 = -n - 4*z + 1, 5*n = 3*z + z + w. Suppose -q - 1 = -n. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 9:23 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*i**5 + 3065*i**4 - 37715*i**3 + 34135*i**2 + 64400*i - 10580 = 0. Calculate i.\nAnswer: -1, 2\/13, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 11*x**2 - 9*x - 26. Is o(-3) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114855748 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 12 = 2*j, 719*j + 8 = 716*j + 4*g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 420 + -111?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/242094 and -57\/645584?\nAnswer: 1936752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**2*u - 67*a**2 - 6*a*u - 844*u + 4 wrt a.\nAnswer: -4*a*u - 134*a - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 3*g**2 + 2*g + 7. Calculate x(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 205, 0 in ascending order.\nAnswer: -5, 0, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8 + -14.401?\nAnswer: -22.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -7*t - 4. Let d(m) = -m**3 - 4*m**2 + 2*m - 3. Calculate d(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**10)**(32\/3)\/(w\/(w\/(w\/(w**2*w)))*w*w**(-1\/3)) assuming w is positive.\nAnswer: w**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -42, 10 in decreasing order.\nAnswer: 10, 3, 2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/934 and 19\/16?\nAnswer: 7472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -15 (b) 2\/19 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 - 177\/4. Suppose 4*q - 3 = -3*s, q - 2*s - 5 = -7*s. Which is the closest to 0? (a) -0.1 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2988, 5985, 8992, 12009, 15036?\nAnswer: 18073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -633 = -7*l + 242. Let w = -128 + l. Let o be 3*3\/(0 + w) + -8. Put o, -2, 2 in ascending order.\nAnswer: o, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 0*k + 0*k**2 + 0*k**5 + 4 - k**3 + 0*k**4 + 1\/6*k**6. Find the third derivative of n(x) wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 2*y + 2, -4*w + 0*y = -2*y - 16. Calculate the least common multiple of w and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -14*w + 70. Is 26 a factor of -778*(-3)\/w + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, -28 in decreasing order.\nAnswer: 2, -6, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77295271?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.6 and 114832.\nAnswer: 298563.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 5*i**4\/12 - 7*i**3\/2 + 10*i. What is the second derivative of s(t) wrt t?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g - 1. Let r(l) = -15*l - 3. Let m(z) = -17*p(z) + 6*r(z). Let t be m(-1). Suppose -d = t, 8 + 7 = -o - 5*d. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0387 * -121.\nAnswer: 4.6827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*c + 243*c - 450*c = 17708. What is the remainder when c is divided by 246?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 0*w - 8. What is the lowest common multiple of w and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 512*n**2 + 9670*n - 47000.\nAnswer: 2*(n - 4)*(n + 25)*(n + 235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3961*z - 6 = -3959*z. Let k(u) = 8*u + 35. What is k(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 58*c**2 + 12*c - 150. Let j(d) = -d**2 + 2*d - 25. Let l(i) = -6*j(i) + q(i). Let x(r) = 167*r**2. What is x(l(z))?\nAnswer: 684032*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-99)\/(-12)*(-16)\/(-6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**4\/4 - 7*n**3\/3 - n**2\/2 + 8*n + 3. Let j = -11 - -4. What is the tens digit of k(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 13. Let c(a) = -a**3 + 6*a**2 - 3*a + 9. Calculate c(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, c: 2, q: 4, h: 8}. Give prob of sequence cqrh.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 - 89. Suppose -6*s + 2732 - 860 = i. List the prime factors of s.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4668*y + 8. Let v = -12 + 6. Let x be k(v). Round x to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3 - 91800*i**2 - 917818*i - 826020 = 0. What is i?\nAnswer: -45890, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.0234 - -25.814. Let p = h + -24.8. What is p rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -9*w - 5400. What is w rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 + 811*l**3 + 76653*l**2 + 437913*l + 645840.\nAnswer: -(l - 897)*(l + 3)**2*(l + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49656 = -386*l + 25724 for l.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*s = 132297, -31*c + 30*c = -2*s - 132291. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 148*m**5 + 2*m**3 - 3*m - 4*m**4 + 3*m**2 + 6617 - 4*m**2 - 6741 wrt m.\nAnswer: 8880*m**2 - 96*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - k - 24097 = -6*h, 6010 = h - 5*k. Suppose -9353 = -11*b + h. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683 is divided by 86.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from heqeeejhhhtqzz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9204 and 75244?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1346 is divided by 67?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g + 34. Determine p(6).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 119 - 87. Is 63\/2 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 c, 1 i, and 1 y when four letters picked without replacement from diidjyidiciyyiyys.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -138*u**3 - u**2 - 2*u. List the prime factors of k(-1).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011111001 + -101?\nAnswer: 100011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3233, 3496, 3943, 4580, 5413, 6448, 7691?\n\"Answer: m**3 + 86*m**2 - 2*m + 3148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 13) in base 16?\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -29*z + 2. Let m(g) = 17*g. Let i(l) = 40*l. Let d(q) = -3*i(q) + 7*m(q). Determine d(h(s)).\nAnswer: 29*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 207485?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/42*10 + (16 - 18)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 18763.27 days?\nAnswer: 1621146528000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 711*m - 211834. What is s(298)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 11:47 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 5:26 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2858.\nAnswer: 2, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*i + 7*i + 5*i + 34*i + 9*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33.5 + 33.8. Is w at most as big as 77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30251, 120569, 271091, 481823, 752771, 1083941, 1475339?\nAnswer: 1926971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3405 times -0.2\nAnswer: -681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (7 + -6 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-5 - -4) - 2) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 346, 652, 924, 1144, 1294?\nAnswer: 1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 600038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 - -0.09. Let n = -594 + 599.11. Let w = n - m. Which is the closest to -0.1? (a) 3 (b) 1\/8 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -63.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.9539 plus 7?\nAnswer: 0.0461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, g: 4, l: 1, x: 2}. What is prob of picking 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(3\/7))**(-12))**(-3\/22))**(1\/33) assuming w is positive.\nAnswer: w**(24\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3067*t - 9187*t - 1434*t.\nAnswer: -7554*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -307*c**3 - 8*c**2 - 194*c - 187. Determine s(-1).\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.051934 to three dps.\nAnswer: -2.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 11*a**2 + 8*a - 11. Let y be n(-10). Let g(p) = p**3 - 8*p**2 - 10*p + 11. What is the units digit of g(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 2*b**2 + 3*b + 2. Let s be d(-3). Let c(n) = -6*n**2 - 9*n**s + 12*n**2. Let m(g) = -729 - g + 729. What is c(m(q))?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-35))\/((-249)\/(-1245))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -2. Let i(g) = -g + 1. Let l(c) = 4*c - 10. Let o(q) = y*i(q) + l(q). Give o(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37136699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 1444*l**4 - 10*l**3 - 10133*l**2. Let v(o) = -2167*o**4 + 14*o**3 + 15199*o**2. Let b(k) = 7*a(k) + 5*v(k). Find the third derivative of b(i) wrt i.\nAnswer: -17448*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4748 is divided by 1511?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*j + 255*j = 0, 5*j - 2 = r + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-15))\/(8\/(-5)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n + 37326*n**2 - 37327*n**2 - 2*n.\nAnswer: -n**2 - 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(104)\/sqrt(4))\/sqrt(2).\nAnswer: 3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -16, -67, -152, -283, -472?\nAnswer: -731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 - 1 + 2 + 2*z**3.\nAnswer: 8*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -58*n + 233. Let o be x(4). Let p(i) = -5*i**3 + i**2 - 3*i + 1. Give p(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.0331 years to decades.\nAnswer: 5.00331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 119*d**3*y**3 - 4*d**3*y + d**2*y - 2*d**2 + 796*d*y**3 wrt d?\nAnswer: 714*d*y**3 - 24*d*y + 2*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*h**2*l**3 + 20741*h**2*l**2 + h**2 - 607*l**3 wrt l?\nAnswer: -60*h**2 - 3642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(2\/5)*q)**(1\/34)*(q*q**(-2))**(-11))\/((q\/q**2*q)**(-2\/19)\/(q\/(q*q**(2\/5)\/q))**43) assuming q is positive.\nAnswer: q**(3132\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 4. Let r(x) = x + 2. Let n(q) = 4*q + 7. Let z(t) = -2*n(t) + 7*r(t). Let l be z(-2). Solve -j*h + f = -2, 5*f - l = 6*h - 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14\/3 + 4\/3*j**2 + 26\/3*j = 0. What is j?\nAnswer: -7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/(-25)*(6\/3)\/(-12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3625)\/325 + ((-6)\/(-39) - 0)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 72*t - 436. Calculate j(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -79, -334, -763, -1366?\n\"Answer: -87*i**2 + 6*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-4))\/(-7 + 8). Sort k, -4, -5, 5 in ascending order.\nAnswer: -5, -4, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 10*x + 12. Let s be b(10). Let u = -10 + s. Calculate the lowest common multiple of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 856099643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 11. Suppose 13 = -3*k + t*k. Let v = -8 + k. Solve 0*d - 2*d + 17 = -v*q, -4*d + 1 = q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6.687372 hours?\nAnswer: 0.2786405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 6*j**2 + 4. Let h = -18 - -12. Let x be g(h). What are the prime factors of 90\/x + (-6)\/12?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**5\/20 - s**4\/12 - s**3\/6 - s**2\/2 - 164*s. Give y(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 1, g: 2, a: 2, c: 1, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s - 1838*s**3 + 6*s**2 - 3 - 2*s + 1839*s**3. What is y(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1617)*-2)\/sqrt(11).\nAnswer: -14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + l - 3 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1338\/(-669)*(0 - 1)*6. Solve -y - 4*z - 14 = y, 3*y - 3*z = -o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**5 - h**4 - 16590*h**3 + 1374896*h**2.\nAnswer: 120*h**2 - 24*h - 99540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1085 and 5766.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, 5, 16 in descending order.\nAnswer: 16, 5, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u + 5*a - 27, -3*u - 17 = -4*a. What is the least common multiple of u\/(2\/(-20)*1\/(-3)) and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 5*g + 5. Is p(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - 20) + ((-2 - -6) + -6 - -13).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 8*k**2 + 7*k - 2. Give v(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 9*a**2 + 15*a - 172. Determine p(-11).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/5, 1, -871, 13009, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (18 + (12 - 22)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13835 - -13843. Let t = -2 - -4. Let u be t + ((-3)\/((-12)\/k) - 2). Solve -d = u*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*y - 101*y - 443*y - 34888 = 0 for y.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -17.8. Let i = 4.1 - f. Let v = i - -5.5. What is v rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 0)*(3 - 72\/30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + -0.9. Let y be 9\/(-4) + 1\/4. Let t = 31 - 123\/4. Which is the biggest value? (a) y (b) g (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3140*g + 9384. What is a(-3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-2) + 2 - -4. Suppose z = 5*h + h + 36. Let m(d) = d**3 + 6*d**2 + 2*d + 9. Determine m(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-15) + 50327510\/6. Let i = 16687918 - r. What is i rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21, -5, 19, 51?\n\"Answer: 4*b**2 + 4*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 19 = -3*y, 5*y - 29 = -4*x + 5. Suppose -162 = -0*d - y*d. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {i: 3, n: 13, a: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-170)\/(-15) - (-20)\/(-15)) + 4. Suppose 117 = m*q - q. Let u(b) = -3*b - 9. Calculate the lowest common multiple of u(-6) and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.026 + 3.026. Let b be -2 + 1 + (-2 - 0). Let z = -0.1 + -0.4. What is the closest to c in b, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*s**3 + 490*s**3 - 242*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1100001010010 (base 2) to base 5\nAnswer: -144401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 338690?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 28 = 43. Solve -2 - 4 = -k*f, 4*u - f - 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*f - 320 = -17*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -737 - -371. Let c = 852 + i. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2834.95l?\nAnswer: 2834950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.8 + -1.8000185. Round j to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/4263 and -20\/598821.\nAnswer: 29342229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 258570 and 24785.\nAnswer: 1281731490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 8*l + l + 36 = 0. Sort l, 219, -3 in ascending order.\nAnswer: -3, l, 219","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 5*l + 159, -58*m + 99 = 3*l - 55*m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**3 + 2*u**2 + 2*u + 2. Let t be y(-2). Let k be 16\/(-8)*3\/(-2). Let d = k - t. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 11 = -5*y, 5*y - 21 = -4*j + 7*j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -19096*l + 1470383. Give s(77).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181259 is divided by 8042?\nAnswer: 4335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 3*d - 35 = 0, -288783*q = -288786*q + d + 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 0. Suppose -w + 6 = 2*w. Suppose b*l - 88 = w*l. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/20)\/(9\/(-420)). Suppose 2*x + a = 204. Let s = x + 24. Calculate the highest common factor of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3\/2 + 16551*k**2\/2 - 33081*k\/2 - 49635\/2 = 0.\nAnswer: -1, 3, 5515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003982959 rounded to 5 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u - 32. Let o = 23 + -30. Let l(b) = -6*b + 65. Let a(s) = o*j(s) - 3*l(s). Let m be a(7). Calculate the highest common divisor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*r + 21*r = -298 - 1645 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 22206974*p - 9538. Let v(s) = 9315*s - 4. Let q(b) = 9538*v(b) - 4*x(b). Let a(t) = 2*t. Give a(q(h)).\nAnswer: 37148*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**3 + 11280*x**2 + 169578*x + 407160 = 0.\nAnswer: -12, -3, 5655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -30*z**2 + z - 1. Let s be w(1). Let x = s - -29. Suppose 11 = 3*k + j, -k + 0*j - j + 5 = 0. Put x, k, -4 in descending order.\nAnswer: k, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 15*v - 45 = 12*v, 3*y - 5*v - 27 = 0. Let z(o) = 14*o + 118. What is the tens digit of z(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1002527068*m**3 - 8*m**2 - 2549888*m + 6.\nAnswer: -6015162408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36954111.\nAnswer: 3, 1367, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 2*i - 2. Let v(s) = s + 21 + 0*s**3 - 2*s**3 - 5*s - 18. Determine -5*c(l) - 2*v(l).\nAnswer: -l**3 - 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 16) in base 4?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45? (a) 2 (b) -42042 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -20*q + 1. Let w(s) = 38*s + 23. Let g(u) = 3*v(u) + w(u). Let p(k) = -2*k**2. Determine g(p(x)).\nAnswer: 44*x**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4 and 0.13?\nAnswer: -0.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*q**2 + 83508 - 9*q**3 - 83508)*(1 - 5 + 5).\nAnswer: -9*q**3 - 16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 6*g**2 + 6*g - 2. Let f be i(5). Suppose -f*p = -2*p + 3. List the prime factors of 1\/((-1)\/33*p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 - p + 1. Let f be 0 - 1 - (-4 + 4). Suppose -2*h - 2 = -6. Let m(z) = z**2 + 2*z - 1 - 4*z**h + 2*z**2 - z. Calculate f*m(r) - q(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2396254976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -81 + 84 + (-3 - -6) + -9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11247702 or 11247703?\nAnswer: 11247702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 + -6053?\nAnswer: -6030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3170 + 5730. What is the least common multiple of 6 and h?\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-678)\/24*(-4 - -16). Let d = -13 - h. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -1)*(-3)\/(-1). Suppose c*v - 32 = 184. Suppose 5*l - 46 = -3*q, 0 = 2*l - 4*q - 0*q - 8. What is the greatest common factor of v and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 40 = -2*y + 18, -56 = -2*y + 2*x. Let r be (79\/(-1))\/((-5)\/y). Suppose -320 - r = -2*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -15*r**4\/4 + r**3\/3 - 46. What is the third derivative of h(l) wrt l?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 124 - 38. Is v a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.07 and 577.7307?\nAnswer: 577.6607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 101*m - 114*m + 117. Suppose 0 = 2*x + 3*i - 5, 2*x - i - m = 0. Factor 0 + 0*s + 0*s**3 + 2\/7*s**x - 2\/7*s**2.\nAnswer: 2*s**2*(s - 1)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.43026 and 0.09.\nAnswer: 0.0387234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0213257 * 3.\nAnswer: -0.0639771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-10))\/(-4)*40\/(-210)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/7*(-1)\/(-2). Let o = 0.066 + 0.334. Which is the nearest to 0? (a) h (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22.41 - -42.41. Which is the second smallest value? (a) -1 (b) -17 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 430412 (base 6) to base 13\nAnswer: 12cc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 6 + 7 + 18*d - d**2 to f*d + z*d**2 + v and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42 + -51 - (-1 + 2)) + 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 93, 87, 81?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525*a**2 + 256*a**2 + 0*a + 260*a**2 + 0*a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.931*-15.\nAnswer: 148.965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12 - 2) + (4 - 5). Let k(f) = -f**3 + 14*f**2 - 10*f - 17. What are the prime factors of k(h)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 50*i + 50. Let d be k(-1). Suppose d = -4*l + 4*h - 37 + 173, 3*h = -2*l + 68. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 + 60 + 182 + h)*(-1 + 3 - 1).\nAnswer: h + 282","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {o: 2, m: 11}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1*l*l)\/l*l)**(3\/11)\/(l\/(l**1*l))**(-2) assuming l is positive.\nAnswer: l**(-13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2*x = -12, 5*x = -5*k + 2*x - 26 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406066?\nAnswer: 2, 191, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2102 (base 3) to base 5.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*t + 56, -2*d + 5*t = 17 + 18. Let z be 4\/d + (-24)\/15. Which is smaller: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*d, -a = d + 4*d - 159. Find the second derivative of -a*o**3 + 10*o**5 + 164*o**3 + 27*o - 36*o wrt o.\nAnswer: 200*o**3 - 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 253 - 149. Let g = -90 + p. What is the greatest common divisor of g and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 1\/15 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, v: 1, m: 3, l: 2}. What is prob of sequence vltl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2343 and 14223.\nAnswer: 1009833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + a - 25 = o, -o - 6 = -2*a. Suppose 4*k + 16 = -2*l, 1 = 2*l - 3. Let i = k + 10. What is the closest to -0.2 in o, -2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/14, -0.1, 138.\nAnswer: -5\/14, -0.1, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8848 - -8847.92. Which is smaller: u or 79\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3242.759m?\nAnswer: 3242759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/14)\/(560\/980). Which is the third smallest value? (a) 18 (b) k (c) 0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3)*-2 - ((-1*sqrt(3)*-5)**2 + sqrt(3))) + sqrt(3) + (sqrt(33)*3)\/sqrt(11) + ((sqrt(30) + sqrt(30)*2 + sqrt(30) + sqrt(30))\/sqrt(10))**2.\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 5*j - 3. Let d be r(-6). Is 334 - ((1 - d) + 5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 88326*b + 794932. What is w(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-1 - (-3286)\/2) + (83 - 78)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2177*y. Let h(c) = -2222*c. Calculate h(s(m)).\nAnswer: -4837294*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**2 + 62*d + 7. Let q(v) = 2*v**2 + 21*v + 2. Determine -2*h(k) + 7*q(k).\nAnswer: 2*k**2 + 23*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 8:40 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - 32*s - 123. Let i be y(-7). Let l = 5 + -8. Let o = -3.04 - l. Which is greater: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 7*s - 2211. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100.224 - -0.224. Let i = u + 100.0345. Round i to three dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 864173647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 2*l**2 + 13*l + 24. Give h(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06956 plus 143417548?\nAnswer: 143417547.93044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 72448713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.1 - 5.1. Put 11, -0.5, -4\/7, v in descending order.\nAnswer: 11, v, -0.5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c*q**5 - 992*c*q**4 - c*q**2 - 28*c + 4*q**2 wrt q?\nAnswer: -60*c*q**2 - 23808*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*x + 10*x = 480 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 34 = l, -119*w = -123*w + 5*l - 68 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 0*r**2 + 4*r**2)*((-3 + 1 + 1)*(4 - 3 - 2) + 2 + 1 - 6 + 0 - 3 + 1).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 4*u**2 - 7. Let t be y(-5). Let h be t\/3 - (-3 + 5). Suppose 2*k - 2*p + h = 0, -3*k + 3*p - 2 = -2*p. Are -2 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 750521648 divided by 375260824.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 196 = -2*t + 4*o, 5*t - 501 = 3*o. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20415766?\nAnswer: 2, 7, 19, 23, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-11 + 7) - (-14 - -6 - -20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + o - 1. Let a(m) = 11*m**2 + 3*m - 3. Let d(x) = -2*a(x) + 6*s(x). Let f(i) = -6*i. Give f(d(j)).\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 100, 890, 3060, 7300, 14300, 24750?\n\"Answer: 115*n**3 - 15*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q*r**4 - 142*q*r**2 - 3228571*r**5 + 532423 wrt r?\nAnswer: -24*q*r - 193714260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -54 times -631\nAnswer: 34074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jolmoof. Give prob of sequence lf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 + 311300?\nAnswer: 311130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 350071*b**3*q**2 + 3*b**3 - 77*b**2 + 13*b*q**2 - 20*b*q + 3*b wrt b?\nAnswer: 2100426*q**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*w - w. Suppose -5*m = -w - 0. Let p(i) = -i**2 - 7*i + 47. Let t be p(-11). Solve t*z + m*j + 0*j + 19 = 0, 3*j - 9 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890638 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14248082452 rounded to 3 decimal places?\nAnswer: -0.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 15. Let m be 4 - (-2 - -3) - q. Find the first derivative of 4 + 14*v + m - 7*v wrt v.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3307895335.\nAnswer: 5, 17497, 37811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - s + 3. Suppose -297 = -4*o - 293. Let t(z) = 34*z**2 + z - 56. Let k(r) = o*y(r) + t(r). Differentiate k(n) with respect to n.\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.71 + -6.01. Put -3, h, 5, 4 in increasing order.\nAnswer: -3, h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297730 is divided by 252.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/35*(-7)\/59. Suppose -2*a + l + 7 = 8, 3*a - l = -1. Is a > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (1 - 1) + 115 + -99.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1728977911 is divided by 1107?\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 4309?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100)*2*5.\nAnswer: 100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*t + 84. Calculate the remainder when t is divided by 2 + 1 + 2 + 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4018792 or 108507374\/27?\nAnswer: 108507374\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v + 1. Let f be w(-2). What is the units digit of (-457)\/f - (-20)\/(-70)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353944427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1385? (a) 0 (b) -2 (c) 90 (d) -2\/25 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + -5. Sort -3, 2, t in decreasing order.\nAnswer: 2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 3. Let x be m(-5). Suppose 39*l + 1152 = x*l. Is l a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eexxexexeeexe. What is prob of picking 2 x and 1 e?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 18664 * 0.3\nAnswer: 5599.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -4*a**2 + 0 - 1\/840*a**8 + 4\/75*a**5 + 0*a**4 + 2\/175*a**7 - 1\/25*a**6 + 0*a**3 + 0*a. Determine x so that k(x) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -r - 3 + 4, c - 7 = -4*r. Suppose 2*i = -r*i + 124. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/6)\/(9\/12). Which is smaller: -3\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 158501 from 138533322.\nAnswer: 138374821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 13765.31.\nAnswer: 68826.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -196217 (base 15) to base 13\nAnswer: -3435c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2461 - -2463. Calculate the greatest common divisor of 356 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*k = -35, -9*m - 12 = -7*m - 4*k. Suppose 1 = x, -j + 6*x - m*x + 1539 = 0. What are the prime factors of j?\nAnswer: 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*p - 42 = -98*p. Suppose 2*o = p*o - 15. Sort -18, -3, o, -0.5 in ascending order.\nAnswer: -18, -3, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -a + 3*x, -2*a + 0 = 4*x - 32. Let t = 10 - a. Let b(h) = -h - 3. Calculate b(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - -3*sqrt(88)*-3)\/(4*sqrt(72))*6*-1.\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 61119 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 8*k**2 - 3*k + 1. Let z(o) = 9*o**3 - 2*o**2 + 1. Let d be z(1). Let p be b(d). Let r = -12 - p. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, f: 2, s: 2}. Give prob of picking 2 f and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -21984 divided by 916\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -5a3?\nAnswer: 5a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.2753447 + -6633?\nAnswer: -6619.7246553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**7*f)\/(f*f\/(f*f\/f**(-2\/21))*f)*((f\/(f**5\/f)*f)\/f)\/(f**13\/f))**21)**(-2\/41) assuming f is positive.\nAnswer: f**(332\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 405851 to the power of 1\/2, to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -5\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 660 - -302. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 23*b**2 + 17*b - 47. Calculate the remainder when c(-22) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (52\/5 - 44\/110). Let o be (-4)\/9 - (g\/27 + 0). Solve 5*c - 2*n + o*n = -2, 0 = -4*c + 2*n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) 3\/23 (b) 0 (c) -22\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53209288381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -6226 and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 + 8 + -1 + -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 2*w**2 + 1 - 3*w)*(-6203 + 39*w**2 - 36*w**2 + 134).\nAnswer: 6*w**4 - 12135*w**2 - 6069","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 8.743, 6, 2 in descending order.\nAnswer: 11, 8.743, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/24*9\/(-2). Let s be (y + (-16)\/(-12))*-3. Let t(i) = i - 11. Let h be t(s). Is -5 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 0.3, 3\/7, -69.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82583 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 6*g. Let x be l(-5). Calculate the remainder when (-8)\/(-20) - 752\/x is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, r: 1, e: 1}. Give prob of picking 1 e and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1375 and 2100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.36 - -0.86. What is the smallest value in s, 1\/7, 24?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1455346 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*(sqrt(475) + -1) + sqrt(475) + sqrt(475)) + -1.\nAnswer: -21 + 140*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2.885 * -0.4\nAnswer: 1.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5885, 11, -2, -3, 2 in increasing order.\nAnswer: -3, -2, 2, 11, 5885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 161, 178, 121, -34, -311, -734, -1327?\nAnswer: -2114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 120*w**2 + 18638*w - 217620.\nAnswer: -2*(w - 62)*(w - 13)*(w + 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*f - 44*f**2 - 41*f**2 - 245*f.\nAnswer: -85*f**2 - 17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 20, 1, -0.5, 3\/2 in descending order.\nAnswer: 20, 3\/2, 1, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 9*j + 3*j, -h + 2 = -j. Find l such that -3*l**2 + 0 + 21*l**h - 177\/4*l**4 + 105\/4*l**5 + 0*l = 0.\nAnswer: 0, 2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 10*h**2 + 5. Let p be r(10). Let v = p + 1. Let x = 225 - 225. Solve 5*w = 3*z - 30, x = -v*w + w - 2*z - 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 38, 39, 20, -25?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**2 + o - 1. Let d be w(2). Suppose 12*l = d*l - 621. Does 25 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**4 + 5485*r**3 - 10850*r**2 - 109380*r - 131400 = 0. Calculate r.\nAnswer: -2, 6, 1095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/20*(-112)\/350?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -132 and -488.\nAnswer: -620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1784 and 6964736.\nAnswer: 6964736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from {a: 5, n: 9}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.434377 and -3.\nAnswer: -4.303131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + 2*h + 2. Let k(u) = u**2 - u - 1. Let y(b) = -3*k(b) - 2*l(b). Let n be y(0). What is the units digit of n*1 + (-6 - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2, -5, 1\/4, 3\/14 in descending order.\nAnswer: 2, 1\/4, 3\/14, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 17*o - 39. Let p be v(14). Solve p*n - 1 = 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/((-1)\/1))\/(-2). Suppose 5*w = 26 - d. Suppose -5*h - w = -5*m, -4*h - 3 = 2*m - 7*h. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzagzyzgzzzyzigyig. Give prob of sequence izi.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2038 + 2127 + (-12 - ((4 - 2) + -2))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -276 - -209. Let g = 76 + -147. Let l = w - g. Solve -7 = 3*q + l*a, 19 = 3*q - 2*q - 4*a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-136)\/(-238))\/((-12)\/14).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3327024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -2)*280\/(-6). Suppose 0*t = 5*t - r. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 529 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3489 is divided by 3478.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 4:17 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 1. Let p(r) = 55*r + 3. Let w be p(u). Let y = 528 + w. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66670?\nAnswer: 2, 5, 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86\/1331 or 0?\nAnswer: -86\/1331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y - 25. Let s be v(14). Let n be (-4 - -4 - s) + -12997. What is n rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -65338*j + 196017. Determine w(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**3 + 42*v**2 - 83*v + 42. Let b(x) = x**3 - 20*x**2 + 42*x - 21. Let d(i) = -5*b(i) - 2*q(i). What is the units digit of d(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 8*g**2 - 13*g + 15. Calculate t(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -19299416.\nAnswer: -3859883.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15667632 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: Subtract -97995 from 0.25.\nAnswer: 97995.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -31. Let a(r) = r**2 + 2*r + 3. Let g be a(-2). Suppose p = 4*f, -3*f + f = g*u - 24. Calculate the remainder when 31 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1431)\/5565 - (-4)\/10)*7. Is -980 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 698 and 22?\nAnswer: 7678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3618*1.\nAnswer: 3618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4167 + 5715 + z - 293 to g*z + d and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/7 and -99\/476.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26a9046 (base 12) to base 15.\nAnswer: -a1cd86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -278 + 278. Let m(j) be the first derivative of 0*j**2 + 12*j**3 + 22 + 22\/5*j**5 + 0*j**4 + x*j. What is the third derivative of m(l) wrt l?\nAnswer: 528*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68297921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*u = -414*u + 5159 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 4)*25*(-52)\/(-975). Put g, -1695, -4 in descending order.\nAnswer: g, -4, -1695","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 21*r + 74. Calculate the lowest common multiple of 6 and o(20).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2238)\/(-14547))\/(-2 - -2*72\/39 - 1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -135, -1169?\nAnswer: -1169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-four ninths of a day?\nAnswer: 10240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from jjmmmjjjjm.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*n - 10 = -25*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.283 + 2.3. Round x to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i - 7. Let b = 143 + -141. Let f(u) = -6 - b - 29*u + 26*u. Give -5*f(n) + 6*k(n).\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26752 and 26752?\nAnswer: 26752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4619092um in kilometers?\nAnswer: 0.0000000004619092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 2*j - j + 16 - 1, 51*q + 376 = 52*q - 22*j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 0*w + 5. Let p(c) = 2*c - 7. Let h be p(w). Solve -3*r + 5 = 2*r, -h = v + r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292062 is divided by 1749.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 1:02 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145791 is divided by 2963.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7152997834 to the nearest integer?\nAnswer: 1927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*((sqrt(220)*-2)\/(-3*sqrt(66)\/sqrt(6)))**2*3*4.\nAnswer: 631\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*s**2 + 339*s - 5*s**2 - 105*s**2 - 76*s**2 - 2148*s wrt s.\nAnswer: -458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*o + 47. Calculate the remainder when 17 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 = 3*m - 7*m. Let r be (2 + (-4)\/5)*(-520)\/m. Suppose -x - r*p = -4*p - 161, 270 = 2*x - 5*p. What are the prime factors of x?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 4*z - 1. Let l be t(-5). Let j(y) = 29*y**2 - 4*y + 4. Let n be j(6). Suppose 3*h + 4*w - w = 774, 4*h - l*w = n. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19524318 + 5?\nAnswer: -19524313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*s - 44 - 4, 0 = 3*v + s - 48. Let x = 88 + -10. What is the remainder when x is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 3*m**2 - 3. Let c(z) = z**2 - 1. Let q be (-6 - -27)*12\/(-7). Let v = 35 + q. Determine v*k(n) + 3*c(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**2 - 49*i = 0.\nAnswer: 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 3*x**2 + x - 3. Let m be c(3). Suppose 2*n - 14 = 2*t - 6*t, m = -3*t + 9. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/54*(0 - -7)*34 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 394 + -393.875. Let b = x + 1.875. Which is smaller: -78 or b?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -99\/25, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 157\/3 >= 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - ((sqrt(1300) - (-4 + sqrt(1300))) + sqrt(1300) - sqrt(13))) + -4)**2 + -5 + (sqrt(325) - (sqrt(325)*-4)**2) + sqrt(325).\nAnswer: -4309 + 138*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6035451 is divided by 1466.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1 + 2*x**2 - 6*x**2 + 21*x**3 + 2*x**2. Does 20 divide t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -242 + 244. Let g = 2 - -30. Find the second derivative of r*f - 26*f**3 + 0*f + g*f**3 wrt f.\nAnswer: 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 7:57 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 1851200?\nAnswer: 1851200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 293620, 587233, 880846?\n\"Answer: 293613*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*z - 236 = 0, -2*o - 2*z = 2*o - 472. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9369100 to the nearest ten thousand.\nAnswer: -9370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -11*y**3 - y**2 - 4*y - 2. Let d be z(-1). Find the second derivative of -10*t + 68*t**2 - 35*t**2 - d*t**2 wrt t.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -1823986 = -1823982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 495\/198*(-104)\/150 - -2. Determine v, given that -2\/15*v**2 - 2\/15*v + l = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 80*v - 20. Let t(n) = -39*n + 7. What is 6*k(o) + 13*t(o)?\nAnswer: -27*o - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*f - 4715 = -5456 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 96?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8087 - -8178.46. Let q = -8.46 + x. Is q > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -28\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -14.62864*-3.4\nAnswer: 49.737376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d389 + 24?\nAnswer: -2d365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/40 - 6\/10. Suppose l + 927 = 4*s, p*l + 2*l = -5*s + 1149. Calculate the highest common factor of 21 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 383 - 212. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4861 + 4863. Solve -5*w = -2*l + 14, 131 = m*w - l + 137 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/20*1*(-2432)\/288?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - (-4 + 0 - -4)) + 2900 + -2948.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -8244*r + 305056. What is o(37)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1252*k**2 - 10*k - 2. Let q(n) = 627*n**2 + 4*n + 1. Calculate -5*q(l) - 2*s(l).\nAnswer: -631*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110101210 (base 3) to base 16.\nAnswer: 234f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 78*v - 9 - 26 - 9 - 1.\nAnswer: -78*v - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -56\/11, 0.2, -1, 24?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*c + 23 = 0, -368*p + 372*p - 4*c = -4. Solve -4*m = -3*k + p*k - 17, -3*m - k = -18 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 2. Let k be u(0). Let t be (3 + -15)*k\/(-6). Sort t, -1, 1 in descending order.\nAnswer: 1, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*r*v + 27*d**2*v**2 - 669*d*r*v + 7*r**2*v**2 - r**2 wrt v.\nAnswer: 54*d**2 + 14*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34022 is divided by 206?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 110, 449, 1010, 1793, 2798, 4025, 5474?\n\"Answer: 111*n**2 + 6*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2 + 1393*m + 1236. Let n(a) = -13*a**2 + 5650*a + 4943. Let x(z) = 18*c(z) - 4*n(z). Factor x(t).\nAnswer: -2*(t - 1238)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.295105 centuries?\nAnswer: 629.5105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixxvrrrxrrrxirbxbr. What is prob of sequence rv?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 768 + -766. Solve -t*r = 1 - 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -2216.19?\nAnswer: 221.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**3*d*d*d))**(23\/5))**(6\/7)\/(d**(-1\/2)*d\/d**(5\/4)*d*(d\/(d*d**(-6)))\/d*d\/((d*d**(-1))\/d)*d) assuming d is positive.\nAnswer: d**(-783\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 9\/28*d**7 + 3*d**6 + 33\/4*d**3 + 12*d**4 + 3*d**2 + 143*d + 0 + 177\/20*d**5. Determine z so that p(z) = 0.\nAnswer: -4, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, d: 3, y: 10, k: 1, x: 1}. Give prob of picking 1 a, 2 y, and 1 d.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*m - m - 326 = 0, -4*p - 2*m = -260. Let i = -1342 + 1892. Let v = i - 547. What is the lowest common multiple of p and v?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62 - 40 - 1) + 11?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-3*(sqrt(152) - sqrt(152)*-2)*-3)\/(-4*2*sqrt(24)\/sqrt(3)))**2.\nAnswer: -69255\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 3*c - 2 - 14 = 0, -5*c = 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 37 + 67 = 0. Suppose -2*b + 4*b - w = 0. Suppose 118 = -12*u + b*u. What are the prime factors of u?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 - 5*l - 5. What is j(-6)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4550049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/11)*y*y**(2\/13)*y**(-9)*y**(2\/7) assuming y is positive.\nAnswer: y**(-7841\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2291*i**2 + 798*i - 2 wrt i?\nAnswer: 4582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 11. Let d be 7*((-1237)\/413 - l). Is d greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*(-20)\/405*9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.06 (b) 6\/83 (c) 5 (d) 1\/7 (e) -5 (f) -7\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 1 - ((-3215 - -3207) + (18 - (0 + 1)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = 2*p. Let o(m) = 8*m**2 - 62*m + 181. Let g be o(3). Put 5\/4, g, p in ascending order.\nAnswer: p, 5\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -17. Let y = 17.9999956 - m. Round y to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0191 + -0.017. Let h = 0.00471 - o. What is h rounded to 4 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -728 from -40591451.\nAnswer: -40590723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -4 - (-4 + 1)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6369\/(-198) - -6 - -25.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 2*q**3\/3 + 11*q**2 + 11. Find x such that h(x) = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*n**2 + 3*n**2 - 2*n**2)*(41*n + 37*n + 46*n + 37*n - 160*n + 32) in the form k*n + u + p*n**3 + o*n**2 and give o.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**4 - x**2 - 96 - 3*x + 96 to o*x + q*x**2 + d*x**3 + t + w*x**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u + 4682 - 4304 = 0 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95381 a multiple of 319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**10)\/(x\/(x**(-3\/11)\/x)))\/(x**(3\/7))**(-13\/3))**(15\/8) assuming x is positive.\nAnswer: x**(-10875\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1117846580 to the nearest integer?\nAnswer: 33434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 39 = -r, 0 = -2*r - 4*a - 0*a + 36 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 72*w**2 + 5*w. Let p(f) = -2*f**2. Give n(p(d)).\nAnswer: 288*d**4 - 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-4)*t))\/t**(2\/19))\/((t\/(t**(-1\/9)*t))\/(t\/t**(1\/4))) assuming t is positive.\nAnswer: t**(3101\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.2799 smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 25. Suppose -2*h + y = 5. Calculate the remainder when 13 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*g + 597, -2*g - 4*q = g - 339. Does 24 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 648.6 and -0.008.\nAnswer: 648.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l**2 + 10*l - 1 + 5 - 10*l. Let m(v) = -6*v**2 + 3. Calculate 3*c(x) - 4*m(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 16*p - 159. Let x be n(11). Let f(q) = -2*q**2 + 44*q + 12. Let t be f(x). Calculate the greatest common divisor of 70 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4238650 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 0. Let n be -43*(-4 + o + 3). Let u = -31 - n. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.26 + 0.26. Let b = 0.616 - -268.384. Let o = 270 - b. Sort x, o, -1 in increasing order.\nAnswer: x, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6889\/181520913 - 2\/22807. Let r = 395299\/15918 + s. What is the common denominator of r and (-4)\/14 - 954\/140?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**5\/60 - 597*q**2. Let w(j) = j**2 + 214*j. Calculate i(w(f)).\nAnswer: -f**4 - 428*f**3 - 45796*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/442 and -53\/10960053.\nAnswer: 21920106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 26387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -598.\nAnswer: 2392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108 + 39 - -54) + 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 907\/826 + -10\/59. Let n = 453\/70 + x. What is the common denominator of -40\/7 and n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 93?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.752 - 0.062. Let m = -0.05 - t. Let i = m + 0.43. What is i rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, v: 3}. What is prob of picking 1 g and 2 v?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.042537 * -0.05\nAnswer: 0.00212685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 954331 and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(21\/9 - 2). Solve 4*g - 3*b = g + p, 0 = 5*g + 2*b - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -12*a + 7 + 3\/4*a**4 - 6*a**2 + a**3. Factor s(p).\nAnswer: 3*(p - 2)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/y)**(-9)\/(((y**2*y)\/y)\/y)**26 assuming y is positive.\nAnswer: y**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*g + 217*g + 3*g + 15*g.\nAnswer: 415*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssskssss. What is prob of sequence ssks?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12335.\nAnswer: 5, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -278, -273, -248, -203, -138, -53, 52?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1aa5 + -6363?\nAnswer: -458b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-2 + -9 - -12 - (7 + 2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17676678 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.164 in -1\/6, 22, 2\/9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/2270 and 27\/1990.\nAnswer: 451730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwf when three letters picked without replacement from qzffwrf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/41, 0.2, 6\/13, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4370, -8763, -13174, -17609, -22074, -26575?\nAnswer: -31118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -212 (b) 1\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -667, -664, -661, -658, -655?\n\"Answer: 3*v - 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134258040 divided by -196.\nAnswer: 684990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from yiqdccvqqddcciv.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 30*o**2 + 158*o + 73. Is q(26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -794 + 801. Let m(q) = -d*q - 7*q + 4*q + q - 5*q. Let k(y) be the third derivative of -y**5\/60 - y**2. Give m(k(a)).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1533 + -2310. What is the second smallest value in -1\/3, w, 2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5950*-5\nAnswer: -29750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -8*k + 13. Let i be 27\/12*(-55 - -3). Let h = i - -112. Calculate the remainder when 105 is divided by a(h).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*c + 2*c - 5*c)*(178*c - 350*c + 181*c - 58) + 2*c**2 - 3*c + 3*c.\nAnswer: -7*c**2 + 76*c - 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inn when three letters picked without replacement from {n: 4, i: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1725564 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10010331130 - 10201?\nAnswer: 10010320323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -4, 4, -1\/7553?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/4, 104, -50, -0.7 in ascending order.\nAnswer: -50, -0.7, -1\/4, 4, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -289, -341, -371, -385, -389?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -245\/6*m**6 + 0*m**4 + 50\/3*m**3 + 0*m**2 + 3*m - 228 + 0*m**5. What is the third derivative of d(c) wrt c?\nAnswer: -14700*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 14222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d - 12. Suppose -23 = -2*u - l, -3*l + 0*l = -d*u + 12. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160694 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1187 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/3, -0.122 in decreasing order.\nAnswer: 2\/3, -0.122, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 366 and 3538?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p**(2\/15)\/p)*p**(2\/37) assuming p is positive.\nAnswer: p**(1621\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -11 + 21 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + (sqrt(180) - (-4 + sqrt(180) + 0)) + ((sqrt(180) + (sqrt(180) + 2*sqrt(180) - sqrt(180)))*-6)**2) + -1.\nAnswer: 58326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20754\/53 or 392?\nAnswer: 20754\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 28337.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*i + 90*i + 73*i.\nAnswer: 199*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, i: 2, n: 2}. What is prob of sequence nni?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sosogggsggggsoosog. What is prob of sequence gsog?\nAnswer: 35\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4039941814545 and 0.004.\nAnswer: 4039941814545.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 901 - 201 = 5*l. Does 35 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131168.\nAnswer: 2, 3, 11783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*d**2 + 17*d**2 - 22*d**2 + 44*d**2 + 73*d**2.\nAnswer: 182*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 + 3) - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-25)*(v**23*v)\/v)\/(v**(-1\/12)\/v)**25)**37 assuming v is positive.\nAnswer: v**(11581\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4312 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 216*q**4 + 7*q**3 - 71*q**2 + q + 2380216?\nAnswer: 864*q**3 + 21*q**2 - 142*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - v + 770 = 2*v, -v - 462 = -3*y. What is the remainder when y is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**5 - 12*o**4 + 16*o**2.\nAnswer: -4*o**2*(o - 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2424 (base 6) to base 11\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -104033, -416142, -936323, -1664576, -2600901, -3745298?\n\"Answer: -104036*f**2 - f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 1, -57, 261, 3.\nAnswer: -57, -5, 1, 3, 5, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 450918 and 75294?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*s - 15. Let j = s + 4. Let x = j - -2. Solve x = 3*b - 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b - 5. Let i be s(6). Let k(z) = -4*z + i*z + 2*z**2 - 3*z. Let a(q) = -q. What is k(a(x))?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -16 + 710 + -680 - 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158462, 158306, 158134, 157940, 157718?\nAnswer: 157462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 1. Let w be (-2)\/(-7) + (-12)\/(-7). Let h(q) = 7 - q**w - q**2 + q - 7*q. Suppose 37 = -30*z - 143. Calculate z*b(j) + h(j).\nAnswer: -2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 50*q**3 + 165*q**2 + 200*q + 80.\nAnswer: 5*(q + 1)**2*(q + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (15\/9)\/(4560\/(-144))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 41?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 8*y. Suppose 2*g - 4 - 60 = y. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 4. Let o = -65 + 68. Sort 6, s, o.\nAnswer: s, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2. Suppose 2 = 2*y + 2*g, -y - 4 = y + 5*g. Let o(q) = 3*q + y*q - 7*q. Let r(v) = 3*v - 1. Calculate l*r(t) + 5*o(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**4\/4 + 5*q**3\/3 - 2*q**2 - 3*q - 1. Let f be d(-5). Calculate the highest common factor of f and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 46*x**2 + 427*x + 910. Calculate k(-8).\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**2 + 4*s. Let g(m) be the third derivative of -m**5\/20 + m**4\/8 + 13*m**2. Let b(i) = 3*c(i) - 4*g(i). Let q(n) = -6*n. Calculate q(b(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 9 + 19. Suppose -5*t - 19 = -4*y, -4*t + 31 = 3*y - 2*y. Let d = y - x. What is the least common multiple of d and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58076.32 kilometers in meters?\nAnswer: 58076320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 377 + -377. Does l = 1\/170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.4 - 23.8. Let y = -0.2 - 0.8. Suppose -4*s = f + 3 - 1, -5*s = 4*f + 8. Which is the closest to 1? (a) y (b) s (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/101442 and -7\/230550?\nAnswer: 2536050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -225966 or -226589?\nAnswer: -225966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1126795 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(1\/2*1*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 - 8*s - 16. Let v be w(4). Solve v = -3*g + 10 + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25\/4? (a) -2\/21 (b) 0 (c) 0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14a2 (base 16) to base 7.\nAnswer: 21254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 63823.4.\nAnswer: 255293.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*f*t**2 + 2*f*t + 2*t**2*x**3 + t*x**3 + 28*t*x wrt t.\nAnswer: 104*f + 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95197402, 95197397, 95197394, 95197393, 95197394, 95197397, 95197402?\nAnswer: 95197409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5359227\/7 - 14\/(-98). Suppose 5*m = 5*c + 836871 + d, 0 = -5*m - 25. Round c to the nearest 10000.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/3204 and 121\/36?\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1.25, -3, 8, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 5*z**3\/6 + 21*z**2\/2 - z + 16. What are the prime factors of o(8)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176621.\nAnswer: 239, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/400 and (-5475)\/150 - (1 - 0).\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5 = 4, -4*t = -h + 7. Let x be (5 - 3)*(3 + -1 - 1). Suppose -a + 11 = 4*l, 3*l = 3*a - x - 1. What is the smallest value in a, t, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 - 3844 = 12*v + 247. Is v greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i + 6. Let y(o) = -5*o + 19. Let l(w) = 7*u(w) - 2*y(w). Let c be (-8)\/2 + (-1)\/1. What is the tens digit of l(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -126\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 - -0.1. Suppose 746 = 2*j + h + 752, 14 = -3*j - 2*h. What is the nearest to f in -0.3, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013301311 (base 4) in base 10?\nAnswer: -294005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 103069476 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*z - 125 + 112 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 322 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 11*u - 1. Let p be f(5). Let z be (144\/(-147) - -1)\/(2\/p). What is the closest to z in -4, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -3. Calculate the remainder when 11 is divided by 2\/(-6)*(f - 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333792143.\nAnswer: 79, 137, 30841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 - (-1 + -1))*-31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67519909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 - 119*m - 559. Calculate z(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 19. Which is the nearest to 5? (a) -2\/13 (b) p (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*j + j - 88, -4*b - 4 = 0. Let t = 46 - j. Solve -5*x - t = 3*s, 4*x + 14 = -0*s - 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -426*b**3 + 29*b**2 + 26*b - 2. Calculate the lowest common multiple of t(-1) and 305.\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -159473*k**2 + 2*k - 6425766?\nAnswer: -318946*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 8276520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/10 + 1)*195\/(-52). Sort -0.3, v, 0.9 in ascending order.\nAnswer: v, -0.3, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 21 - -20)\/((-2)\/14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10364 + 8*w**2 - 10364.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from bwwwwwwbbwwwwwwwwwwb?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 2*x**2 - x**2)*(-2 + 2*x**3 + 2 + (-16*x**2 + 0*x**2 + 38*x**2)*(-3*x - x + 6*x)).\nAnswer: -92*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155351479 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -276.9 + 39.9. Let r = -248 - j. Which is the closest to -1? (a) r (b) 3\/11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1919 + 4474. Suppose 3*k + 2*k = d. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105 - 80. Let k be (-6)\/36 + r\/6. Solve 8 = -k*l - 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.99 + -3. Let k = d - -0.41. Let f = -10 + 14. Which is the third smallest value? (a) 2 (b) k (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 6:14 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 15, l: 3}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -17*q - 779 + 184, -140 = 4*q + 3*n for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2*w + 12 = 0, -3 = -d + 2*w + 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 11*h**2 - 7*h - 8. Let k(t) = -9*t**2 + 7*t + 7. Let i(q) = 5*k(q) + 4*p(q). Calculate i(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2866566942 to the nearest integer?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjxkkrkjjjjjjj. Give prob of sequence kj.\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -5*y - 21, -78*y = -80*y + w - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23081, 23052, 23007, 22946, 22869?\nAnswer: 22776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1909973 and 949.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.41 - 0.09. What is the nearest to 2\/17 in k, -2, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9161277 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: What is 405 minutes after 4:23 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -204401, -408811, -613221?\n\"Answer: -204410*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s - 5*s - 25. Calculate the common denominator of 49\/22 and (85\/(-2))\/s - 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*y - 8*y - 6 = 0, -4 = -3*l + y. Put l, 5, 11, -2 in descending order.\nAnswer: 11, 5, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -15*j**3 + 2*j**2 + 2*j + 1. Let b be d(-1). Suppose b - 4 = -4*t. Is -3 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (457095\/(-180))\/((-1)\/(-3)). Let b = s + 7555. Let c = b - -49. What is the common denominator of -43\/23 and c?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22026062 + 1?\nAnswer: -22026061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/23 (b) 554.7 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -516*h**4 - h**3 - 21*h - 5976 wrt h?\nAnswer: -2064*h**3 - 3*h**2 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 9*g**2\/7 + 750*g\/7 + 15625\/7 = 0.\nAnswer: -125\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-234)\/(279\/31) - 8.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 r when three letters picked without replacement from {l: 4, s: 3, r: 1, a: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 8*n - 1. Let s(f) = 28*f. Determine v(s(z)).\nAnswer: 224*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 10*p + 2. Suppose -3*h - 5*d = 4, h + 3*h - 2*d = -40. Let v = -9 - -15. Calculate the smallest common multiple of i(h) and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*f - 492 + 2466. Let w = f + -123. What is the lowest common multiple of 12 and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.02 and -0.009453286?\nAnswer: 1.010546714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7962 + 1151*s + 7956 - 15916)*(7 - 7 - 6)*(2 + 2*s**3 - 2) to the form p*s**2 + w*s**3 + y + n*s**4 + i*s and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiiiiqquuqsuj. What is prob of picking 1 i and 1 q?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -2.1. Let a = -5 - -8. Put 2\/5, j, a in decreasing order.\nAnswer: a, j, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -1*2\/2. Find g, given that z - 8\/5*g - 4\/5*g**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1652684?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 311761 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 31, 0 in ascending order.\nAnswer: -6, 0, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**2\/2 - 101583*q\/2 - 558888 = 0.\nAnswer: -11, 33872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*(-1590)\/35775\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1620661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 5*i + 2. Suppose 0 = -v + 2*l + 10, -4*v + l = -6*v - 5. Let j = -2 - -13. What is the least common multiple of c(v) and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -139, -157, -183?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 6*c**2 - 4*c - 5. Let a be u(5). Put -4, 7, a in ascending order.\nAnswer: -4, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147 - -147.1. Which is the fourth smallest value? (a) -3 (b) 2 (c) -23 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -750*-0.558.\nAnswer: 418.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -168890.37 rounded to the nearest one hundred?\nAnswer: -168900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15587*a*s**2 + 9*s**2 - 165 wrt a.\nAnswer: 15587*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from ykkkkkkyk.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73204514?\nAnswer: 2, 61, 193, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (4 + -2 - (21 + -26)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1983256622?\nAnswer: 2, 20771, 47741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 392 - 394. Which is the nearest to w? (a) 1 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161983674.\nAnswer: 2, 3, 59, 127, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 b when four letters picked without replacement from pbppbb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 5833003?\nAnswer: -5833011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*o + 240*o = -79*o - 9984 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7856*t**3 - 15*t**2 + 253*t wrt t?\nAnswer: -47136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*j - 112, -4*g = -18*j + 13*j - 380. Let o = -96 + g. Sort -2, -6, 0, o.\nAnswer: -6, -2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - -4 - -2) - 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128 and 48?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 2. Let r be 26 - (-3 + (2 - j)). Suppose -2 = -5*x + r. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/9990 and -57\/370.\nAnswer: 9990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 5*l + 6. Let k be d(-7). Let t be -5*k\/50 - 656\/(-5). What is the highest common factor of t and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 45282.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**6 - f**3 + 4*f**2 - 1. Let u(c) = -2 + 6 - 3 + c**3. Let s be 15\/10*8\/(-12). Let r(v) = s*t(v) - u(v). Find the third derivative of r(q) wrt q.\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -105 - 493. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/15)*q**0*(q\/q**(-2\/3))**48*(((q*q\/(q**6*q))\/q*q)\/q**(1\/10))\/(q*q**(-1\/5)*(q*(q*q**(-6)\/q*q)\/q)\/q) assuming q is positive.\nAnswer: q**(2407\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**3 - q**2 + q + 3. Let f(m) = 587*m**3 + 5*m**2 - 5*m - 512. Let i(g) = -f(g) - 5*u(g). Differentiate i(h) with respect to h.\nAnswer: -1851*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*x - 42*x + 25. Suppose -2*o = x*o. What is the nearest to o in 3, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*k = 69*k + 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 1. Calculate the remainder when (-2)\/13 - (-613)\/g is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 90. Solve 0 = -3*s - 3*d + 3, 0 = 5*d - v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 11:18 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2936041 and 257951?\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*a**4 + 1118*a**3 - 3038*a**2 - 1550*a + 2616 = 0. What is a?\nAnswer: -1, 4\/5, 3, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -576 + 576.2. Which is the biggest value? (a) 11.2 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 411 (b) -0.136 (c) 1 (d) -74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*s + 11*s - 8*s - s + 1 - 1 + (-3*s + s + 4*s)*(4 - 1 - 4) to q + b*s and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33024680243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53234, -106429, -159586, -212687, -265714?\nAnswer: -318649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 10) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126\/41 + -173\/123. What is the nearest to -0.1 in m, -0.4, -3, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 2:17 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45328*n + 45522*n = -12610 for n.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**(-2\/5)*b))**(-24)*((b**(1\/11)\/b)\/b)\/b**(-8) assuming b is positive.\nAnswer: b**(-1513\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5*u + 32*u + 75*u + 5 in the form a + d*u and give d.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.176 + -217.5.\nAnswer: -217.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 10:35 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 19 + 3)*(b + 0*b - 4*b)*(3*b - 3*b - 2*b**2).\nAnswer: -96*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1841 (base 11) to base 7\nAnswer: 6556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 7:31 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 10. Suppose 5*g + 3*c - 9 = 0, -2*g - c = 3*c + 2. Let h = l + g. Solve h = -v - 4*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 1. Let k(y) = 4*y**2 + 13*y + 9. Let t(g) = 2*g**2 + 6*g + 4. Let z(x) = d*k(x) + 5*t(x). Factor z(q).\nAnswer: 2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, p: 2, f: 2}. What is prob of sequence ipfi?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -25013273 in descending order.\nAnswer: 5, 1, -25013273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63545 + 319992.0182.\nAnswer: 383537.0182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 + -72. Calculate the remainder when p is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 3 = 2*f. Let i be 38\/(-14) + 2\/f. Put -1, 5, i in increasing order.\nAnswer: i, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4616700 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -702644725 and -1996.\nAnswer: -702646721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12053 + 12050. Which is the third smallest value? (a) t (b) 1 (c) -3\/4 (d) -0.0003\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 0*n**6 - 5 + 31\/6*n**3 - 4*n + 3\/2*n**2 + 5\/21*n**7 + 0*n**4 - 1\/2*n**5. What is the second derivative of v(r) wrt r?\nAnswer: 200*r**3 - 60*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 8:37 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 9:19 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - v. Let q(c) = 2*c**3 - 2*c**2 - 3*c - 2. Let i = 188 + -189. What is i*q(u) + 3*w(u)?\nAnswer: -2*u**3 - u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/16320 and 65\/13056?\nAnswer: 65280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 100137928 a multiple of 1276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -360799649*w**2 - 655445692*w.\nAnswer: -721599298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, s: 4, k: 7, h: 2, u: 1, e: 1}. Give prob of sequence ehz.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-477)\/(-165))*5\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.60377 kilometers to micrometers.\nAnswer: 90603770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(612) + -5 + sqrt(612) + -2)*-1 + 5)*-6)**2.\nAnswer: -10368*sqrt(17) + 93312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44060.81t in nanograms?\nAnswer: 44060810000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 f, and 1 j when three letters picked without replacement from {j: 2, f: 8, m: 2, y: 5}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -254 * -0.331.\nAnswer: 84.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 g, and 1 z when four letters picked without replacement from {g: 3, p: 5, h: 5, z: 2, j: 5}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h + 8 = -y, -4*y - 2 = -2*h. Put y, -6, -3 in increasing order.\nAnswer: -6, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + sqrt(13) - sqrt(13) - sqrt(416)\/sqrt(8).\nAnswer: -2*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6 = 0, -5*j + a + 22 + 61 = 0. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 3*n + n, 4*n + 16 = 5*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen ninths of a week?\nAnswer: 19040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yffyofhoyofftfyot. What is prob of picking 1 o and 1 h?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 4*u**2 + 7*u + 10.\nAnswer: -(u - 2)*(u + 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5*(-125)\/(-50). List the prime factors of 3 + (100 + 5 - g).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from jyyjjjyjjjyyyyyyffyy?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1049034597*r**2 + 1049034597*r**2 + 35*r**3.\nAnswer: 35*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 668*m + 90152. Give b(-134).\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5080, 5031, 4942, 4813?\n\"Answer: -20*p**2 + 11*p + 5089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 21, 73, 167, 315, 529, 821?\nAnswer: 1203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 5, -1, 0, -20, -1864?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -447*j + 18985*j**2 - 18988*j**2 + 51*j to z + i*j + k*j**2 and give i.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7006265503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-14)*4*14*5060\/(-1840)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -a - 11, 3*r + r - 40 = 3*a. Let t = -7 + r. Solve -2*u + 5*u + 3 = t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144646.1 times 145?\nAnswer: 20973684.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -2\/483 (c) 126.11 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x**7\/105 + 14*x**6\/75 - 16*x**5\/25 - 64*x**4\/15 - x + 29. Factor v(z).\nAnswer: -2*z**2*(z - 8)**2*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/6*(10\/(-25))\/(-2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + -44 + -87 - -62?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8 = -4*r, 2*r + 3*r = -5*l + 5. Solve l*g = -0*g - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*(-28)\/14*(-40)\/112.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1422 is divided by 141?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3199267 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 3:01 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 5*h - 11. Let x be i(-5). Let p be 134\/x - 4\/(-22). Is -6*22*4\/p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 13*d - 1. List the prime factors of w(16).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3114715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -941*r + 513*r + 405*r. Let p(l) = -7*l**2 + 4. Let c(o) = -4 - 3 + 4*o**2 + 2*o**2 + 4. Let q(t) = -4*c(t) - 3*p(t). Give g(q(v)).\nAnswer: 69*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 1354*s**3 + s**2 - 5*s - 5. Let n be d(-1). Is -1351 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 6726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.9 (b) -45850 (c) -0.3 (d) 107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 2*x - 7*x)*(-3*x - 4*x + 6*x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06499456673 to 6 dps.\nAnswer: 0.064995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1104*c**2 - 558*c**2 - 1952*c**3 - 546*c**2.\nAnswer: -1952*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 160656\/161 + 17450893\/1932. Let o = 10020 - f. Calculate the common denominator of -19\/6 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -199201*p**3 - 3*p**2 + 7*p - 15. Let f be v(-5). Round f to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -4, 3\/4.\nAnswer: -4, 3\/4, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 12, o: 7}.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1137672 and 24045.\nAnswer: 39818520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 2. Suppose 3*m - 60 = -x*a, 5*a - a = 4*m + 80. What is the common denominator of 171\/a - (-2)\/4 and 91\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 0 - -3 - (2 + -8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.5, -16, 3\/14705?\nAnswer: 3\/14705","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -44779*b - 358296. Give k(-8).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**15))**(-2\/53))**(24\/11) assuming n is positive.\nAnswer: n**(-720\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 51. Let z be h(-4). Let g = z - -75. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42699212?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 2*d**3\/3 + d**2\/2 - 2*d + 3. Let q be u(-2). Suppose -q*j + 4 = 24, a + 2*j = 3. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(833)*-2 + 4)**2 + 2).\nAnswer: -13400 + 448*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8517520 by 154864.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -43*p + 28. Calculate the remainder when 420 is divided by l(-1).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*v**4 + 26*v**3 + v**2 - 46*v wrt v?\nAnswer: 144*v + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 53689 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 5\/12*p**4 + 10*p**2 + 0 - 21*p - 10\/3*p**3. Let y(a) = 0. What is a?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-727204)\/31345)\/((-1)\/5)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -56*m + 36*m - 37 + 20*m + 27*m + 35. Let l(k) = -9*k. Calculate z(l(v)).\nAnswer: -243*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g - 3. Let a be n(7). Suppose 38 = 4*c - a. Let q = 1 + c. Solve 2*u - q = -3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*f**3 + 154*f**3 + 101*f**3 - 16*f**3 + 157*f**3.\nAnswer: 568*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1157*b**3 + 130 + 52*b + 44*b - 145*b + 49*b.\nAnswer: -1157*b**3 + 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 4*w - 3053 - 3581, 2*w + 11100 = 5*s. Suppose 4*n - s = 3*v, 3*n - 2*v - 1655 = -4*v. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4730 is divided by 471?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 2*y - 16. Let f be v(7). Solve -16 - f = -7*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -869 + 868.9313. Let f = 145.937 - 146. Let w = i - f. Round w to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - q + 1)*(19 - 26 - 50)*(1 - 12*q**2 - 1).\nAnswer: -684*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (40268768\/(-176))\/1 + 4\/(-22). Round n to the nearest one thousand.\nAnswer: -229000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89103610 divided by -89103610\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -2. Let d(z) = 6 + 0*z**4 + z**2 - z**3 + z + 5*z**4 + 0*z**4. Let c(p) = -p**4 - 1. Let u(s) = y*d(s) - 6*c(s). Factor u(x).\nAnswer: x*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 10724a01?\nAnswer: -10724a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.02 + -3.14.\nAnswer: -4.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 17. Let w(i) = i**2 - 7*i + 1. Let s be w(12). Let b = 61 - s. What is the nearest to 1\/2 in -0.2, b, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 (base 9) to base 7\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14 + -16 - 4\/(-2). Suppose f + f = -2*r + 132, 5*f - 3*r - 314 = n. What is the remainder when f is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-3 + -2 + 3) - 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -219244314300713 and 1.\nAnswer: -219244314300712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 657. Let f(a) = -5497*a + 3. What is k(f(z))?\nAnswer: -10994*z - 651","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, 2581, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 2, v: 1, h: 1, i: 1, b: 5}. Give prob of picking 1 s and 1 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981961779 is divided by 295?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, -83, -188?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 6:48 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 8254134?\nAnswer: 8254134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1916101 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -58927519?\nAnswer: 58927519.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/(6 + (-4818)\/804). Let b = m + -34. Solve 5*u - b = -4*d, 0 = -4*d - u + 13 - 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 307206986 to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*r**2 + 32*r**3 - 3 - 8*r**4 - 22*r - 22*r**3 - 23*r**3 + 10*r**4 + 23*r in the form l*r + p*r**2 + q*r**3 + o + u*r**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-250)*-5)\/(8\/(-240)*3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -211, -529, -847, -1165, -1483, -1801?\n\"Answer: -318*k + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + 41.99. What is the second biggest value in m, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 + 120*s**2 - 133*s - 729. Determine i(-61).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8*g**2. Let h(f) = 343 + 4*f - 343. Calculate r(h(y)).\nAnswer: 128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 4097.31\nAnswer: -4097.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -272 + 411. Let l = -139 + i. Which is the nearest to 1? (a) -5 (b) 0.07 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + g + 33, -39 = -g + 3*g + g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(135)\/sqrt(3).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.66413 * -103.\nAnswer: 171.40539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4814*j + 4848*j = 272. Let h(i) = 2*i**2 - 9*i + 9. Determine h(j).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-975)\/9)\/(29328\/6768)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**2 + p**2 - 8*p**2 - 207*p**3.\nAnswer: -207*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38697820 a multiple of 1315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -51 - 9. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-840)*4*-2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/25 (b) 10.76968 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**15\/(t\/(t*t\/(t\/t**(1\/11)))))**(-34))**23)**(6\/11) assuming t is positive.\nAnswer: t**(-778872\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18257002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1320, 2240, 2810, 3030, 2900?\nAnswer: 2420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/17)\/(g*g**(2\/27)))\/((g*g*g\/(g\/g**(-3\/5))*g)\/g**(-2))*(g\/((g\/g**(-2\/5))\/g))**(-41)*(g\/g**(-2\/7))**34 assuming g is positive.\nAnswer: g**(44204\/3213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tlln when four letters picked without replacement from {t: 2, f: 2, n: 1, p: 4, r: 1, l: 7}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 10 = -f, 2*f - 1 = -5. Suppose -4*b - y*w = 406, 0 = b - 5*b - w - 405. Let i = 84 - b. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0905545218 to four decimal places.\nAnswer: 0.0906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 27 - (-30 + -3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 770280659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 1 - 9*z**2 + 3 + 3*z - 5*z + z. Calculate k(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1862?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-4 - 3) - (6 + -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s - 2*w + 44, 2*w + 280 = 5*s. List the prime factors of (-2 - -2) + s\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 575791694*m**2*z**3 - 5129*m**2*z**2 + 12681*z**2 wrt z.\nAnswer: 3454750164*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (636\/2)\/(321\/3103*58) - (0 + -3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -1\/18*p**3 + 1\/360*p**5 - 6 + 0*p - p**2 + 1\/144*p**4. Let j(o) be the second derivative of h(o). Factor j(t).\nAnswer: (t - 1)*(t + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*7\/4 - 4. Solve -g*z + 6 = -0*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2) + -1*sqrt(6)\/sqrt(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = 2*y, 4*w + 3 = -5*y - 8. Let h be 330\/10*y\/(-9). Which is smaller: h or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h. Let f be j(3). Let g = 2305\/2 - 8031\/7. Find the common denominator of 1370\/(-8)*f\/(-225) and g.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aooggaaaaa. What is prob of picking 1 a and 2 g?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**4\/6 + 8*v**3 - 11*v**2. Let i be p(-8). What is the highest common factor of i and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000085559 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1863.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, -0.1, -2\/25 in descending order.\nAnswer: -2\/25, -0.1, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 315687117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 144*o + 4. Let m(p) = 721*p + 22. What is -11*l(g) + 2*m(g)?\nAnswer: -142*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 + 22*q**2 + 6*q + 16. Let h be o(11). Suppose 83*a = h*a. Are 2\/7 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from {f: 1, g: 1, h: 1, u: 1, l: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20, -4, 1\/7, 2, 4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 10*a**2 - 5*a - 5. Let n(z) = -z. Let b(o) = -5*o**2 - 2*o + 3. Let y(c) = b(c) - 5*n(c). Calculate 3*t(v) + 5*y(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -3*v - 1. Let y be (8\/v)\/(8\/(-20)). Let d(p) = -8 + 2*p**y + 8. Let t(h) = h**2. Give d(t(s)).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/3198 and 53\/82?\nAnswer: 3198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131950685.\nAnswer: 5, 17, 677, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 33250 = 58055. Let x be (-1)\/2 - y\/18. Let p = 1687 - x. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzw when three letters picked without replacement from {w: 2, u: 2, z: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z + 91. Let a be v(8). Let b be (-2)\/(-5) + 426\/(-15). Let o = a - b. Calculate the greatest common factor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42735 by 37.\nAnswer: -1155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4024 divided by 8.\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 22 = -214*f + 209*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10195580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -7*k**5\/60 - 3*k**4\/8 + k**3\/2 - 2405*k**2. Let u(i) = 3*i**2 + 4*i - 2. Calculate -5*u(g) - 2*w(g).\nAnswer: -g**2 - 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + 13. Let x = -58.3 + v. Let g = x + 1.8. Which is the smallest value? (a) -6\/5 (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12920 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*r - 202*r - 28 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -13*h + 1. Let w be a(-7). Suppose -2*k = 18 - w. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43048 is divided by 880.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60706*u**2\/5 + 12142*u - 4\/5.\nAnswer: -2*(u - 1)*(30353*u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + (sqrt(72) + (sqrt(72) - sqrt(72)*-2))*-4)\/((3*sqrt(1008))\/sqrt(7)) + -3.\nAnswer: -5*sqrt(2)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44822603877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9624244*h**2 + 60*h - 69427 wrt h.\nAnswer: 19248488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*s - 14276 - 10125 = 0, 8107 = a - 5*s. What are the prime factors of a?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451621?\nAnswer: 451621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4*64\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -1)\/((-1)\/3). Suppose -13 = -3*f + 2*z - 3, 0 = -2*f - x*z - 2. Let b = 13 - f. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 119 and 36439.\nAnswer: 36558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 - 1654312395?\nAnswer: -1654312506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 7, -50823?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 1\/6*w**3 + 6 - 1\/2*w**2 + 2*w. Let k(d) be the first derivative of g(d). Let s(a) = -1. Determine k(n) - s(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847514837 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - -1)*(-22)\/(-3). Let c = w + -29. Calculate the greatest common divisor of 6 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1009*k + 1995. Determine a(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(1008) + 3)**2 + -3.\nAnswer: 72*sqrt(7) + 1014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.5, -2\/5, -3\/32, -5\/3?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*a - 15012 = -515*a + 2236. Calculate the least common multiple of a and 1540.\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -236, -1\/7, -3\/4, -23 in decreasing order.\nAnswer: 9, -1\/7, -3\/4, -23, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 832 and 4?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1810\/1629)\/((-2)\/(-18))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 9499\nAnswer: 3\/9499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 69\/5 - -4*6\/(-30). Suppose v = i - 41. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -8*c + 10. Is 19 a factor of l(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -641787 at least as big as 1688?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3315, 3345, 3433, 3609, 3903, 4345, 4965?\n\"Answer: 5*l**3 - l**2 - 2*l + 3313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w. Let c(m) = -13*m**2 + 129*m - 11. Give v(c(s)).\nAnswer: 65*s**2 - 645*s + 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/3854 and 34\/857515.\nAnswer: 1715030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1.1, -1.3, -1?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 9. Let p(o) = o - 5. Let z be 1\/2 - 10\/(-4). Let k(h) = z*r(h) - 7*p(h). Let m be k(6). Solve 0 = m*l - 1 + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((4 - 7)\/(-1590)). Let l = -340 - r. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58824 is divided by 57679.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 0. Let d = 1 - u. Let p = 66827\/6 - 11138. Which is the closest to 0.2? (a) -5 (b) p (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 7. Let a be f(22). Put 5, a, -3 in descending order.\nAnswer: 5, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z**(-10)\/z)\/z)\/z)\/(z\/(z\/(z\/z**13*z))))\/(z*(z**(-8)\/z)\/z*z**11))**(-7) assuming z is positive.\nAnswer: z**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 174 = 3*c, d = -23*c + 26*c + 192. What is the remainder when 720 is divided by d?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 435135, 870273, 1305411, 1740549?\n\"Answer: 435138*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 15 + o + 14 - 3*o**2. Give r(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 11 - 21. What is the first derivative of -7 + 4*p**2 + 11*p**v + 4*p**2 + 3*p**2 wrt p?\nAnswer: 44*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -82*s + 94*s - 36. Let k(i) = 5*i**2 + 2*i - 3. Let o(b) = 3 + b + 5*b**2 - b**2 - 5. Give s*k(u) - 4*o(u).\nAnswer: -u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 111055440943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -320928 (b) 123 (c) -0.5 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1711 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 9 + 6)*(-2*v + 3*v + 2*v - v + 0*v - v + (2*v - 6*v + 2*v)*(1 + 3 - 3) - 3*v + 0*v + v + 4*v + v - 3*v) - 2*v - 4 + 4.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-three halves of a millimeter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -178545 + 259576. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h. Suppose -5*t + i = 2*i - 53, 2*i - 51 = -5*t. Let p(x) = 43*x - 6. Let f be p(t). Let q(r) = -7*r - f + 467. Determine q(m(w)).\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/5)\/((-16)\/40). Suppose -i + 119 = 3*j, -i = -2*j - 2 + 83. Calculate the remainder when j is divided by (0 - 66)*1\/(4 - l).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.27 - 0.03. Let m = 0.4 - 0.2. Let l = 0.1 - m. What is the closest to l in t, 2, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -61*c**4\/24 - 1636*c**2 - 6*c + 2. Let q(t) = -13*t. Let h(g) = -6*g. Let s(m) = -5*h(m) + 2*q(m). Determine s(l(o)).\nAnswer: -244*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2030433, 4060874, 6091315, 8121756, 10152197?\n\"Answer: 2030441*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159955 is divided by 407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 282475504 to the nearest integer?\nAnswer: 16807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-4)*0\/(-2). Suppose q = -2*z + 15 + 41. Calculate the greatest common divisor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + s = 5*v - 22, -8 = 2*s. Suppose -32508878 = v*b + 22091122. Round b to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = v - 5974, -12470 + 516 = -2*v - q. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 + 2*z**3 + 2*z**3)*(3 + 8 - 4)*(86*z - 1427 + 1427).\nAnswer: 2408*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3419027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 243193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3688322274 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -2, 41 in increasing order.\nAnswer: -5, -2, 0, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 356.61 + -490.7. Round i to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + (-27 - -21) + 23 + 27.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/4*16\/24\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 r when three letters picked without replacement from {w: 1, f: 2, r: 6, e: 2, p: 1}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 17. Let s be b(16). Calculate the common denominator of 55\/7 and s\/(-5) + (-512)\/90.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 22*l + 22. What is f(-5)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y + 46 + y - 47 to the form w + m*y and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 18205*h + 127386. What is o(-7)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16170475 and 3320?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 3*y - 3. Let d be b(-4). Let u = 141 + -349. Let v = u + 206. Sort 0, d, v, 5 in ascending order.\nAnswer: d, v, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 9) in base 12?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a**(-3\/10)\/a))**(12\/7) assuming a is positive.\nAnswer: a**(198\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 47 + 25 + 3 + -47\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1\/6, -9\/112, -1\/3.\nAnswer: -1\/3, -1\/6, -9\/112, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**4\/8 + u**3\/6 - u**2\/2 - u. Let b(z) be the first derivative of d(z). What is the derivative of b(g) wrt g?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/9207 and 161\/2046?\nAnswer: 18414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*f - 51*f = 41*f + 75. Solve f*h = 22*b - 20*b - 40, -h + 2*b = 16 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*y + 125, 0 = 4*b + 1 + 3. Let f = y + -17. Calculate the remainder when 27 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19633, 19650, 19667?\n\"Answer: 17*w + 19616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 28. Suppose 46*j + k = 49*j. Suppose -c - j = 5*b + 4*c, -4*b - 12 = 2*c. Sort -6, 0.2, b in descending order.\nAnswer: 0.2, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(1 - m - 10*m - 3) - m - 1 + 1.\nAnswer: 21*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 13*h**2 + 203*h + 5. Let x(u) = 2*u + 49. Determine x(a(j)).\nAnswer: 26*j**2 + 406*j + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6 (b) 5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 9 = 2*j. Suppose -3*t - 116 = -j*t. What is the remainder when 85 + 1 + (-7 - -6) is divided by t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7419.68 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*x**3 - 14*x**3 - 51*x**4)*(9*x - x + 4*x) + x**5 - 3*x**5 + x**5.\nAnswer: -613*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c + 9*c**2 - 4*c + 4*c**2. Suppose -5*h = -0*h - 4825. Let r(k) = h - k**2 - 965. Give y(r(m)).\nAnswer: 13*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1823584417?\nAnswer: 23, 79286279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/(m*m**(1\/6)*m)))\/((m**(-5)*m*m)\/m*m)*m**(1\/4)*m**(-2\/3)\/m)\/((m**(1\/3))**30)**(-3\/22) assuming m is positive.\nAnswer: m**(181\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 36. What is the highest common divisor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((-2)\/(-5))*-1. Let u = -32 + 28. Let v be (-18)\/u*18\/27. Solve j*m + 4*x = 45, 27 - 7 = m + v*x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 19*n - 9. Let j(b) = -20*b + 10. Let g(x) = -3*j(x) - 4*u(x). Let w be g(-2). Is w\/(5*6\/15) + 1 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(78)\/sqrt(6) - -4*sqrt(637)) + -3)**2.\nAnswer: -186*sqrt(13) + 12502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 2 = -20*m. Let q be 81 + 0 + 1 + m. Calculate the highest common factor of q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-12))**(-1\/7)\/(d**(17\/5))**(-1\/47) assuming d is positive.\nAnswer: d**(2939\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(192) + sqrt(192)*2)\/(sqrt(32)\/(sqrt(24)\/sqrt(3))).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*c - 7*c + 16*c = -11480. What is the highest common divisor of 3075 and c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5450625 millilitres in litres?\nAnswer: 0.0005450625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 8\/11 (c) -2\/7 (d) 6 (e) 2\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**2*r*x - 2*o**2*x + 13*o**2 - o*r**2 + 949*r**2*x + 3 wrt r.\nAnswer: -2*o**2*x - 2*o*r + 1898*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*-1 + -5 - ((sqrt(72) + sqrt(72) + -1)**2 + -2).\nAnswer: -292 + 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 less than 1.46?\nAnswer: 2.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14121 is divided by 277?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 2 + 5)*(0*w - w + 0*w) + 0*w + 0*w - 2*w + 6917*w + 18340*w + 3019*w)*(6*w - 5*w + 0*w) to b + z*w**2 + h*w and give z.\nAnswer: 28273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.56 + -12. Round n to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, j: 2, c: 1, x: 1, i: 1, r: 1}. What is prob of picking 1 u, 1 j, and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -19*w - 32*w**2 - 4 + 56*w**2 - 25*w**2. What is the remainder when k(-9) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9125503\/40165 + 3\/8033. Let w = 227 + c. What is the fourth biggest value in -0.5, -7, 0.2, w?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 2*d + 2. Let p be g(0). Let u(z) = 10*z + 4*z**2 - 22*z - 9 - 2*z**p. Calculate the remainder when 18 is divided by u(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 230 + -192. Find the common denominator of (196\/66)\/(f\/(-57)) and 77\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 9 = v, 0*v + v - 15 = -4*u. Suppose 3*w + 5*z - 6131 = 0, u*z = 5*w - 0*z - 10241. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 664107*o**5 + o**3 + 3*o**2 + 134*o - 16268 wrt o?\nAnswer: 13282140*o**3 + 6*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i. Let r(x) = x**2 - 29 + 31 + 4*x**2. Calculate k(r(z)).\nAnswer: -5*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -25 - (-191 + 152)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b - 4640 = -30*b. Suppose -8*t + b = 2*t. List the prime factors of t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 310590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33102480 and 480?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a + 91. Let k be o(-26). Solve 0 = -4*i + 2*i - p + k, 2*i + 7 = 3*p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (-31)\/9) + (-6600)\/15336. Is -1 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807256309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1226.\nAnswer: 3\/1226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11245 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) 0 (b) -1674 (c) 2\/489\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -114*k**3 + 2*k**2 + 2*k + 1. Let t be y(-1). Suppose -215 = -19*l + 14*l. Suppose -3*c = -g + l, 3*g = -c + t + 14. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*i*k**2 + 4*i*k - 26*i wrt k.\nAnswer: -88*i*k + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*h + 3476 + 753 = -2304 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i - 1 + 5291*i**3 - 3*i**2 - 5290*i**3 - i in the form d*i**3 + f + x*i + k*i**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*l - 193 = 5*f, -4*f - 3*l + 10*l - 98 = 5*l for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofoqtt. What is prob of sequence oo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**3 + 2*i**2 - 2*i**3 - 125 + 2*i**3 - 11*i**3.\nAnswer: -15*i**3 + 2*i**2 - 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m**3 - 53235*m**2 + 9*m**5 + 53235*m**2 - 5 + 11*m**4. Let z(l) = 4*l**5 + 6*l**4 + 4*l**3 - 2. Let c(g) = 2*x(g) - 5*z(g). Factor c(i).\nAnswer: -2*i**3*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15188, 62970, 142606, 254096, 397440?\nAnswer: 572638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((-10)\/25) - -424 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228281.\nAnswer: 228281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115105, -1, -3 in ascending order.\nAnswer: -3, -1, 115105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -v - 10*k - 5, -2*v = -5*k + 11. Put v, 4, 2, -7 in decreasing order.\nAnswer: 4, 2, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -z. Let a(q) = q + 6. Let n be a(z). Suppose -n*j + 3*j = -3*i - 24, -5*j + 36 = -4*i. Solve -j*b + 14 = m, -b + 6 + 0 = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22238 is divided by 156.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - g - 2*g + 24, -29 = -3*b - 5*g. Let w be 2*-2*(b + -4). What is the third derivative of -2*u**3 + 2*u**w + u**2 + 2*u**3 wrt u?\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 10*g**2 - 12*g + 13. Let y be n(11). Let x(z) = 4*z - 4 - 2*z - 8 + y. Give x(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 7*k - 3*k)*(3*k**4 + 2*k**4 - 3*k**4) - k**5 - 2*k**5 - k**5.\nAnswer: -2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 353214780 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 12*w + 35. Let m be u(-6). Put 1\/2, 0.32, m in decreasing order.\nAnswer: 1\/2, 0.32, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50995705?\nAnswer: 5, 47, 217003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 52 + 43. Calculate the remainder when v is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 2 + 2\/3*i**3 + i + 0*i**2. Differentiate m(k) with respect to k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-386564)\/1687 - -227) + (-94)\/112*-3.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8*c + 4*c + 2 = 0, 0 = 2*b + 2*c - 46. Suppose 19*q - b*q = 10. What is the second derivative of 10 - 16 - q*f**2 + 6 - f wrt f?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 + 27)\/(65\/(-2)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 - -80.858. Let z = -0.142138 - o. Round z to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.832084 decades in months?\nAnswer: 579.85008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -64*q**2 + 3121*q + 564. Give v(49).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3017*t + 3013*t - 4 = -0, 9*t - 2*t - 4 = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhjh. What is prob of picking 3 h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1125567*r**2 - 750360*r - 12.\nAnswer: 3*(3*r - 2)*(125063*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*-6*6\/(-540)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1547856165?\nAnswer: 3, 5, 43, 337, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.6321t in nanograms?\nAnswer: 24632100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.033 - -108.033. Let o = d + -107.4. Which is smaller: 0.02 or o?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.722632ml to litres.\nAnswer: 0.005722632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 + 16\/4*(-6 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-3\/5))**(-4\/7)\/(d**(2\/15)\/(d**(-2\/9)\/d)) assuming d is positive.\nAnswer: d**(-499\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v + 118 - 118.\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 124745516 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 19*p - 85. Let q be d(8). Let n = 42 - 25. Put 1, n, q in descending order.\nAnswer: n, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-596)\/447)\/((-8)\/(-2)))\/((-8)\/(-30)). What is the second biggest value in -9, j, 270?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Let z = -42965\/4 - -10745. What is the second biggest value in 4, -4, z, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*u + j + 5, 5*j + 15 = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*o*x**4 + 2*o*x - 3*o + 6917*x**4 + 2*x**2 + 740279 wrt x.\nAnswer: -1728*o*x + 166008*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7.1 and -3081304.\nAnswer: -3081311.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*t = 2*t + 44, -3*t = 3*u - 33. Suppose -31 = -x + u. Suppose -3*m + 33 = -x. Calculate the remainder when m is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**3 - 4*a**3 - 8*a**3 - 2*a - 12*a**3 in the form o*a + r*a**3 + h*a**2 + t and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11069, 22714, 34361, 46010, 57661, 69314, 80969?\n\"Answer: o**2 + 11642*o - 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + (0 - 4 - (-150 + 138))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3106 - 1556 - 1550 - 4*z**2 - 2*z + 2*z.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, p: 10, n: 4, c: 3}. What is prob of sequence pn?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 + w**2 - 2*w. Let n be s(2). Is 18 a factor of n\/6*(-54)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/7))**(-36))**46*(r**(-1))**27\/(r\/(r\/(r*r*r**(-1))*r))**34 assuming r is positive.\nAnswer: r**(-15093\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4 = 3*p + 2*p, 0 = -4*g - 4*p + 32. Suppose j - g*j = 0. What is a in -2*a**2 + j*a + 2*a + 2 - 2*a = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 72*q**2 - 18*q + 195. Is j(-64) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 63322a0 (base 12) in base 14?\nAnswer: 26b7360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1484 = -3*w, -4*j - 3*w = -j - 2256. Let d = -473 + j. Suppose 109 + d = 4*q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -3, 14, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 7*v**2 - 8*v + 3. Is r(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 44 = -2*v - 2*v, 2*f + 37 = 5*v. Let o be v*(8\/6 - 0). Let y be 1 + o*1\/2. Solve -13 = -4*l + y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1216) + sqrt(1216)*2 + sqrt(1216) + sqrt(1216) + sqrt(1216))**2 + 2 + sqrt(190)\/(sqrt(10)*2) + (sqrt(209)*3)\/sqrt(11).\nAnswer: 7*sqrt(19)\/2 + 43782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 9024?\nAnswer: -1\/1128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28420 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c + 31*c + 1195*c**2 - 1194*c**2 + 7*c.\nAnswer: c**2 + 28*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68141304?\nAnswer: 2, 3, 7, 11, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 3*q**2 + 4*q + 165. Let b be x(0). Find the common denominator of -8\/35 and -4 - 123\/b - -6.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*c**2 + 0*c**2 + 6*c**2)*(177*c - 226*c - 917*c).\nAnswer: -14490*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 63.\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3099, 4743, 7521, 11451, 16551, 22839, 30333, 39051?\nAnswer: 49011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - v**2 - v + 3. What is j(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 498\/685 + 10\/137. Let n = -1.43 + 3.23. Which is the closest to -2? (a) q (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6 - 1 = 0. Suppose 0 = i*l - 80 - 100. Calculate the highest common factor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h. Let x(s) = 0 + 6 + 6 - 1 + 7*s + 6. Let z(b) = -3*b - 9. Let o(v) = 4*x(v) + 7*z(v). Calculate -o(q) - 6*t(q).\nAnswer: -q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 - 30*i - 36. Suppose -36 = 8*a + 68. Calculate the remainder when 24 is divided by g(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 174, 2, 4, -5, 15, 0 in descending order.\nAnswer: 174, 15, 4, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 3. Suppose h*f - 175 = f - 5*y, 0 = 4*f - y - 165. Calculate the highest common factor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*i**2 - 3*i**2 + 4*i**2)*(-3 - 3 + 4) + (2 + 2 - 3)*(2*i**2 + 2*i - 2*i) as r + v*i**2 + z*i and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7554754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 + -1 + -14 + (220 - 209) + 20 + -3?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-7))\/((-1)\/(-1))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 7 - 5. Solve -r*u = -1 - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -5*w**3 - 9. Let c(x) = 2*x**2. Calculate c(i(s)).\nAnswer: 450*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 7. Let j(f) = f - 1. Let x(i) = 5*j(i) - y(i). Let p = 8 - 2. Suppose 5*s = -n - 11, -4*s - n - 3 = -p*n. Calculate x(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*w + 114*w = -735*w + 60784 for w.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.96 + -30.741. Round f to two dps.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(6)*5 + (sqrt(132)*-2)\/sqrt(12))**2*2 + (sqrt(110)\/(sqrt(10)*-1) + 3 - ((0 + sqrt(11) + 1)**2 + -5)).\nAnswer: -3*sqrt(11) + 194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24.7431 + 28.708. Round l to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + -1680777?\nAnswer: -1680770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**20)\/o)**(-3\/4))**(1\/2) assuming o is positive.\nAnswer: o**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 + -83. Let n(a) = a**3 + 3*a**2 - 3*a. Let z be n(-3). Let d = z - i. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(76) + sqrt(76) + -5 + 2 + sqrt(76)*1)**2 - -5*2*sqrt(76)*2) + -1.\nAnswer: 84 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 276926917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5, -2, -7, -4, 13?\n\"Answer: k**3 - 5*k**2 + k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 411, 27, -0.5, -5?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-9) - (-4)\/(-6). Let t be (w\/(-2))\/((-2)\/(-56)). Let y be 4\/t - (0 + 0). Sort 2\/15, 2\/9, y in ascending order.\nAnswer: 2\/15, 2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 - 1 - (15 - 83) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*u - u - 103670 = 0, -5*u - 25 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -28275, -28236, -28175, -28092, -27987, -27860?\n\"Answer: 11*s**2 + 6*s - 28292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {e: 13, x: 5, h: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - 4*j + 4*j + 2*j**3 + 4*j - 4*j + (-2*j**3 + 1 - 1)*(-2 - 4 + 5) + 5*j**3 + 15 - 15 + (2*j + 3 - 3)*(-2*j**2 - 2*j**2 + 3*j**2).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - 1 + 1)*(-3 + 1 + 0)*(-5 - 6 + 3).\nAnswer: 32*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 6*c**2 - 10*c + 28. What is the remainder when 29 is divided by r(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f + 245 - 494 + 241.\nAnswer: 6*f - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - 2*j + 3*j)*(38*j - 15 + 15)*(0 - 1 - 11)*(-1 + 4 + 0)*(1 - 2 + 2).\nAnswer: 2736*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*z + 69*z + 4 - 4 + 2*z**2.\nAnswer: 2*z**2 + 47*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**3 - w**3 + 0*w**3 + 3*w**3 - 2*w**3 + 0*w**3 + (-w + w + 2*w)*(w**2 + 0 + 0).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-27) + 44\/(-3). Let v be (-950)\/i + 6\/42. What is the greatest common factor of 102 and v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -8580.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -8*s**2 - 739*s + 34171. Calculate z(-126).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 333653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -0.1 (b) -0.2 (c) -865\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1385552\/15 - 92425. Let u = 55 + i. Let n be (-1 + 1)*(-3)\/6. Which is the nearest to -0.2? (a) n (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0053962 rounded to 4 decimal places?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5635603 and 3492.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/2)\/(-5 + (-85)\/(-20)). Suppose 0 = -m*p + 4 + 6. Sort p, -5, -6 in descending order.\nAnswer: p, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 22650, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 + 9*j + 15. Let l = 49 - 55. Is t(l) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p + p**2 + 2*p**2)*(1 - 2*p**2 - 1).\nAnswer: -6*p**4 - 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -646, -2461, -5452, -9625, -14986, -21541, -29296?\nAnswer: -38257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/9, -2\/5, -1\/28, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100102222 (base 3) to base 6.\nAnswer: -322555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-79)\/(38157\/69)*1*-2*-6.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/10*(-30)\/12. Sort -1, 7, v.\nAnswer: v, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 0*g**2 - 1176 - 1172 + 3*g - 4*g**2 + 2346. Suppose -w = t - 6*w - 24, -t + w = -8. Suppose -2 = 5*f - 2*f + 4*i, t*f + i - 6 = 0. Calculate o(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckp when three letters picked without replacement from {o: 1, c: 2, k: 2, f: 5, p: 4}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = y + 3*h - 29, 2*y + h = 23. Suppose 2*j - 21 = 5*o + 30, j + 4*o - 6 = 0. What is the remainder when j is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f*f**(4\/5))*f*f*f)\/f**(-1)*f\/f**8*f\/f**(-2\/23)*f assuming f is positive.\nAnswer: f**(33\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25202?\nAnswer: 2, 12601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w = 3*r - 11*w - 25, -4*r + w + 8 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5 = -2*z - 5, -z = 5*l - 6. Let g = l + -2. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + -80. Let i = -1 - r. Suppose t - 735 = -i. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.93403 litres in millilitres?\nAnswer: 76934.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) + 118\/390. Let t = 59\/195 - k. Let d = -1.5 + 1. What is the closest to t in -4, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-603)\/(-1218)) + (12480\/(-32))\/65.\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-3))\/((-5)\/(-90)). Let u = v - -31. Round u to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = a - 3*b - 64, 3*a + 2*b = 31. Let m = -4 + a. Solve -3*p = -g + 2*p - 3, 5*p = -3*g - m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, c: 5, v: 4}. What is prob of picking 1 c and 1 g?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1304\/120 + 6\/45 + (-10988)\/(-536)?\nAnswer: 63\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23, 90, 201, 356, 555, 798, 1085?\n\"Answer: 22*r**2 + r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 11:32 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -582.1801799 to 0 decimal places.\nAnswer: -582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/125 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 5. Let t be ((-16)\/6)\/(a\/9). Let l(k) = -k**3 + 6*k**2 - k + 2. Let j be l(t). Solve -j = 4*i - 0*g + 2*g, -2*i + 3*g + 5 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - (sqrt(308)*-3)\/sqrt(11)) + 2*sqrt(112))\/(-2*(sqrt(484) + sqrt(484)*-2 - -1*sqrt(16))).\nAnswer: 4*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 21 (b) 2\/11 (c) 3\/5 (d) 22 (e) 0.2 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3368950285?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 83685 + 78?\nAnswer: 83774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3766 - 3764)\/(0 - (2 + 20*6\/(-52)))\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 914 divided by 457.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2026 (b) 4\/9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 14\/3, -1, 8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -586 + 4?\nAnswer: -582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83.1 - 21.9. Let r = g - -230. Let a = -128.03 + r. What is a rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64 - (119 - (18 - -33))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*k + 268, -4*u = -u + 3*k + 258. Is (2 - u)*(-2)\/(-5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r - 3 + 6 - 2)*(-2 - 21 - 1)*(0 + 0 - 2)*(r + 0*r - 4*r).\nAnswer: 864*r**2 - 144*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcj when three letters picked without replacement from wrcmjmwj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-160)\/720 + ((-2)\/8 - 478889\/(-36)). What is g rounded to the nearest 100?\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -3. Let l = -41 + 36. What is the second smallest value in l, 0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**6\/72 + 23*b**5\/12 - 53*b**3\/2 + 8*b**2 + 10. Let f(i) be the first derivative of q(i). Determine d, given that f(d) = 0.\nAnswer: -46, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-489)\/(-2460) + (-84)\/560 - (-2772)\/2009.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - -0.95. Suppose 4*k - 14 = -2*h, 7*k = 4*h + 2*k + 11. Let o be 1*((-1)\/2)\/h. Which is the third biggest value? (a) f (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*n + 5640 = 5440 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*v + 2 = 0, 5*j + 17 + 6 = -4*v. Let q = -4 - j. Solve i - 18 = -5*z, 3 = q*i - 3*z + z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**3*c**3 - 79*b**3 - 2*b**2 - 4*b*c**4 wrt c?\nAnswer: 3*b**3*c**2 - 16*b*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2393 divide 28282867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 300353098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 1:29 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**3 + 7*z**2 - 19*z + 34. Let y be i(5). Suppose x = -154 + y. Calculate the highest common factor of 350 and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 8396201?\nAnswer: 4198100.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -34588 * -0.02008\nAnswer: 694.52704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 232*c**4 + 243.\nAnswer: 928*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 - 7 = -5*y. Let i(m) = -1 + m - 6 - 5*m + 3*m. What is the smallest common multiple of y and i(-13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1725919.869 rounded to the nearest one thousand?\nAnswer: -1726000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i**2*j - i**2 - 86*i*j + 432*i - 7624*j - 152 wrt i?\nAnswer: 2*i*j - 2*i - 86*j + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 21*j - 21*j)*(3*j + 4 - 4)*(3 - 5 + 3).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 8 = 8*f. Suppose -f*l + o + 4635 = 0, -3*o = 4*l - 6814 - 2451. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -19*s**6\/30 - 2*s**3\/3 - 2*s. Find the second derivative of f(m) wrt m.\nAnswer: -228*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (2 - -6) - -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**2 + 8*f. Let t = -15 - -7. Let a(o) = o**2 + o - 4. Let w be a(2). Let g(s) = 3*s + 2*s**w + 6*s**2 - 3*s**2 - 3*s**2. What is t*g(n) + 3*y(n)?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 20 = -c. Let u be -4*(c + 0 - 0). Suppose -6*n = -n - u. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6896613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238467878?\nAnswer: 2, 11, 1223, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 2*g + 4*g - 5*g + 4. What is k(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16367.2586 from 0.3.\nAnswer: -16366.9586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -201*c**2 + 202*c**2 + 12*c - 5 - 3. Let m be n(-13). What is the smallest value in 3, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/553 and 2 + (-72)\/(-459)*-12 - 11398\/75208.\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a + 1001 + 855 = 0. Let n = 53 - 115. Let g = n - a. Solve 5*d - 6*u = -u - 45, g*d - 3*u = -23 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.065 and -0.018?\nAnswer: 0.00117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 266\/5 + -53. Let w = 3.3 - 0.3. Let c = -8 + w. Sort -0.3, o, c in descending order.\nAnswer: o, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12288)\/5760 + 28\/35\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3650 divided by 1828.\nAnswer: -1825\/914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 6*g - 2. Let p be i(6). Let c(r) = -13*r**2 + 26 - 22*r - 30*r**2 + 45*r**2. Let t be c(9). Sort p, -3, t, 5.\nAnswer: t, -3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 17. Let i(m) = -2*m - 16. What is -3*f(u) + 4*i(u)?\nAnswer: u - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**4\/24 + q**3\/2 + 6*q**2. Suppose 6*f = -3*f + 45. Let h(p) = -p + 4. Determine f*o(s) - 4*h(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 + 0*y + 0*y + (-y**2 + y - y)*((y + 3*y - 3*y)*(-1 + 0 - 1) + 0*y - 3*y + y) + (2*y - 5*y + 2*y)*(-180*y**2 + 26*y**2 + 6*y**2).\nAnswer: 153*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 55566949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 714, 707, 696, 681, 662?\nAnswer: 639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-5 - (-18 + 10))) + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40965\/2 - -20482. Let c(g) = -g**3 + 5*g**2 + 5*g - 7. Let y be c(6). Put z, y, -2 in decreasing order.\nAnswer: z, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + 3. Suppose w + 95 = r. Let d be (w\/9 + 1)*6000. What is d rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/2*(-360)\/156?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osj when three letters picked without replacement from {s: 1, k: 1, o: 1, z: 1, j: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2023, 443, 4551, 10301, 17693?\nAnswer: 26727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/28 + (-6)\/8. Suppose -5*m - 15 = v, m - 6 = d - 4. Let f be ((-1)\/(-2))\/((-7)\/(-14)). What is the nearest to -0.6 in 0.5, d, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a247 - -16?\nAnswer: a260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + p - 15. Let o be x(0). Let f = 18 + o. Differentiate 0 - 8 + f*l**3 - 2*l**3 + 2 wrt l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-50)*(-15)\/(-4)*290\/(-1392)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 + 40*x - 294. Let t be d(-15). Solve -5*f + 10 = t*c - c, -3*f + 7 = 4*c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -12*c**4 + 5*c**3 + 3*c + 29. Let m(x) = -6*x**4 + 3*x**3 + 2*x + 15. Let d(y) = 3*i(y) - 5*m(y). What is the derivative of d(t) wrt t?\nAnswer: -24*t**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + 34*u**3 + 1 + 3*u**4 + u**2 - 34*u**3 to the form a*u**3 + v*u + g*u**2 + y + l*u**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 77806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 1 = 13. Suppose 18*o - 37 = -1. What is the highest common divisor of i and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (32\/40)\/(4\/50). Let h = v - 10. Suppose h*r + 2*s = r - 79, r - 74 = 3*s. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 38198*t**2. Let h(l) = 25*l + 7. Give h(g(k)).\nAnswer: 954950*k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7478 + -545906\/73. Let c = -6987\/1460 + i. Let x = -33812 + 608467\/18. Calculate the common denominator of x and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 78570\/433 or 180?\nAnswer: 78570\/433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 3 (c) 3\/4 (d) 4 (e) 149 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-20)\/14 - 4089\/(-6699)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 2*d - 6. Let o(b) = b**2 + 39*b + 170. Let h be o(-34). What is q(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14284 - 14264. Suppose -149 = -5*b + 21. Calculate the remainder when b is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 17327 = 3*s - 759, 5*r - 41425 = 5*s. Suppose -5*c = -i - r, 2*c - 2*i - 739 = 2579. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -60, -39, -16, 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -117 - -65?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 122884310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2943*u - 2514. Let i(c) = -15*c - 2. Let n(f) = d(f) + 2*i(f). Differentiate n(s) wrt s.\nAnswer: 2913","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 - 2*q**2 + 4*q**4 - 1 + 1 - 2*q**4 + (-3*q - q - 7*q)*(-2*q**3 + 3*q**3 + q**3) as n*q**4 + h*q + u*q**3 + p*q**2 + g and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.418 + -0.492. Let o = -0.6 - t. Round o to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 3. Suppose -2*p = 18 - b. Let a = p - -5. Put 2\/9, 5, a in increasing order.\nAnswer: a, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2147191652.\nAnswer: 2, 22271, 24103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-60)\/(-225)*(-9)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 291 + 54. Let i be j\/75 + 7 - 4\/(-10). Solve -i*p = -15*p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18093814 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, e: 4, y: 2, x: 1}. Give prob of sequence eee.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*l - 3*l**3 + 3*l**2 + 3*l**2 - 94*l as b*l**2 + j*l**3 + w + u*l and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328920829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 n when three letters picked without replacement from lnnnnnnnnnnl.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5.8 (b) 1\/3 (c) -2\/3 (d) -1 (e) -0.101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 189164128 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8714 plus -0.279497?\nAnswer: -8714.279497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2044872493.\nAnswer: 103, 19853131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66215392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56.844 - 57. Round y to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -8*y - u + 86, 3*y + 2*u = 62. Calculate the remainder when -2*(-1 - 22 - -2) is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -14 + 1 - (-2256)\/168. Which is the third smallest value? (a) 0 (b) 4\/5 (c) -2 (d) q (e) 0.023\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6312 and 7101?\nAnswer: 56808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 6 + 6)*(2*r + r - 2*r)*(10 - 1 + 1) to the form o + q*r and give q.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 412 and 24.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkfqlfqbqqqqqkkq. What is prob of picking 2 q and 2 k?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/5, -55, 1\/4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8022390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -347 + 346.99999841. What is k rounded to 7 dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 14*o + 21. What is j(-11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 9*l - l**2 - 2 + 0 - 1. What is the remainder when 110\/4 - (-3)\/6 is divided by v(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*a - 6 = 0. Suppose l - 9 = 5*o, -1 = -l - a*o - 0*o. Differentiate -4*w**2 + 0 - 2 - l - w**2 wrt w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (14 + -8 + -15 + 13 - 5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.51 - 1.04. What is m rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0644 and 11289.\nAnswer: 727.0116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1097368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/88 + (-25)\/(-120)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -20*s**3\/3 - s**2 - 377. Let h(w) = 141*w**2 + 15*w. What is 2*h(t) + 15*q(t)?\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105 - -5?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 12*v + 8. Let z be j(-11). Let s be (-10)\/(-30) - (-4)\/z. Which is the closest to -0.1? (a) -4 (b) s (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5358467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/140 and 29\/1040.\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101100100101001101 (base 2) in base 5?\nAnswer: -140110033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 16) to base 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 461609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 + 65*n - 673. Determine i(18).\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**3\/7 + 3532*t**2\/7 - 48824*t\/7 + 139040\/7 = 0. What is t?\nAnswer: 4, 10, 869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-365*o + 18*o**2 + 365*o)*(5*o - 4*o + o)*(-5*o**2 - o**2 + o**2).\nAnswer: -180*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -492 divided by -123?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*p + 158 = 9*p - 50 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.6 - -2. Suppose 10*y - 6*y + 5*n = 13, -y = -n - 1. Which is the second smallest value? (a) h (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4923783049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-288)\/(-90)*((-574)\/(-16) + -34)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 40612 times 0.5\nAnswer: 20306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 8. Suppose f - 56 = -5*g, -2*f = -5*g - y*f + 58. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or 7503998?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b - 80. Let z be k(-19). Let n(f) = 2*f**2 + 40*f + 46. Let i(j) = -4*j**2 - 79*j - 93. Let w(a) = z*i(a) - 9*n(a). What is r in w(r) = 0?\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(891) + 1 - sqrt(891)) + 2 + 4)*-2 + -5)**2*-5.\nAnswer: -1805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73852548 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23110 divided by 23110.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/27018265 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11531\/8 - -1443. Let w = -24295 - -1166203\/48. Calculate the common denominator of f and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -983*r - 58968. Let t = 21 + 21. Calculate the lowest common multiple of t and j(-60).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 111, 129, 165, 225, 315, 441, 609?\n\"Answer: c**3 + 3*c**2 + 2*c + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-18))\/(14\/21)*9. Suppose -u*b - 2 = -11. Solve 0 = 3*c - m, -b*c = -0*c - 2*m + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*m - 19 = 5*w, 5*m = 3*w - 11. Put 12, -2, m in descending order.\nAnswer: 12, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -10. Let d(l) = -39 - 3*l**2 + 78 - 37 + 9*l + 2*l**2. What is the units digit of d(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 177422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 - 2*y + 2. Let d be j(1). Does 32 divide (78\/9 - -2)*d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/45 + -13*(-4)\/(-90)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 - 19*g - 80. Let a be b(-3). Sort a, 5, 101, -1 in ascending order.\nAnswer: -1, a, 5, 101","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 8 = 6*j, 0 = -3*s + j + 19. Suppose 5*r + 3 + s = 0. Suppose -2*y = -2*l + 4, -4*l + 1 - 17 = 2*y. Is r equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2495*n**2 - 5519 - 5802 - 13*n**3 + 1341 + 13*n**3 - 20*n + 5*n**3 = 0. Calculate n.\nAnswer: -499, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14484 divided by -852.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7301.398 years to months.\nAnswer: 87616.776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/18*10)\/((-690)\/828).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -2990, -2, 21, 1 in ascending order.\nAnswer: -2990, -2, -1, 0, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o**5 - 12607*o**4 + 52104*o**3 - 56876*o**2 + 6320*o = 0 for o.\nAnswer: -1580, 0, 1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 - -2 - (0 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1820\/(-637) + 432\/112.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89158 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 7:49 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2629, -9, 4, 10 in increasing order.\nAnswer: -9, 3, 4, 10, 2629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 260 - 255. Which is the smallest value? (a) o (b) 9 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -14*m + 5. Let q(g) = 27*g - 10. Let r(n) = 11*j(n) + 6*q(n). Let x(w) = 7*w + 3 + 2 - 17 + 8. Calculate -6*r(o) + 7*x(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5 - 0. Let v = -3327 + 3330. Is u at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7375?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnnlnlllnlln. Give prob of picking 2 n and 1 l.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-31106)\/(-18) + (-55)\/495 - 5?\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6060 (b) -1\/119 (c) 1\/8 (d) 4 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1919*y + 63277. Give v(33).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409865403.\nAnswer: 3, 11161, 12241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -127051.4 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6804629*x**3 + 6040323.\nAnswer: 20413887*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/294 and 43\/8820?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 12*x. Let c(i) = -i**2 - 14*i. Let q(d) = -6*c(d) + 7*k(d). Let t be 4\/(-6)*(-3 - 0). Let s(u) = u**3 - u**2. What is t*s(l) + q(l)?\nAnswer: 2*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5458 - 5431.5. What is v rounded to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5524*z = 61072 - 188124 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*x - 553, 11*u - 598 = -3*x + 6*u. Let h = 195 - x. Which is the nearest to 44? (a) 2 (b) 1\/4 (c) -1 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 3 (c) 6\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -t + 4. Let c be 2 - (t + 1 - 0). Suppose m + c = -34. Round m to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -83, 8, -25, 2.\nAnswer: -83, -25, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1070, 997, 960, 977, 1066, 1245?\n\"Answer: 3*x**3 - 94*x + 1161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25\/(-15) + 1 - 566\/(-3). Is v + 7\/(42\/18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 4*d**2 - 13*d + 11. Let r be g(6). Sort r, -0.1, 2, 4 in decreasing order.\nAnswer: r, 4, 2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 6 = -2. Suppose a*t + 7 - 21 = 0. Find the second derivative of -3*s - s + t*s - 4*s**3 wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -566, -1013, -1482, -1973?\n\"Answer: -11*a**2 - 414*a - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 551 = 5*i - 504. Let u(j) = -j**3 + 5*j**2 - j + 5. Let v be u(5). Suppose -i = -n - v*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2798 + 4096. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*(5*(-4 + (sqrt(832)*-4 + sqrt(832))*-5) + -5))**2.\nAnswer: -120000*sqrt(13) + 18722500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*s + 3*o, -2*s - 10 = 50*o - 55*o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a**(1\/3)\/a*a))\/(a**(-18)*a))\/(a**(-1\/11)*a**(7\/2)) assuming a is positive.\nAnswer: a**(1007\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 5*x**2 + 3*x. Let i be r(-4). Let b(h) = i*h**2 - h**3 - 1 + 0*h**3 + 2*h + 2*h. List the prime factors of b(4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16845 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -258661\/18 + 14366. Calculate the common denominator of 47\/16 and i.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -436 or -384?\nAnswer: -436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + 1.97. Let p = 23.2 - 23. What is the closest to 1 in 5, u, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -262182?\nAnswer: -262180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-189*k + 128*k + 125*k + 4)*(-48*k + 11*k - 35*k) as o + b*k + y*k**2 and give b.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/((-10440)\/(-27)))\/(117\/24).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 + 27*o**2 - 12*o - 7. Let k be d(13). Solve -5*j = -7*j + k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*b + 26, -5*b = y + 5 + 19. Let j(m) = 2*m**2 + 8*m + 7. Calculate the remainder when 32 is divided by j(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.68 + -4.68. Which is the second biggest value? (a) k (b) 0.31 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + a + 35 = 0. Suppose 11 = -2*t + 3*j, -3*t - a*j = 3 - 34. Factor -2 + 0*x + 1\/2*x**t.\nAnswer: (x - 2)*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*q = 22, 2*c + 2*q + 12 = 4*c. Let b(x) = -c + 0*x**2 - x**2 - 1 + 5*x. What is the units digit of b(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*m - 58*m + 108*m + 250*m**3 - 50*m**3.\nAnswer: 200*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 337 + 72 = 27*q + 541 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28\/81? (a) 0.4 (b) 0.14 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a milligram in micrograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27038.437 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1817\/730 (b) 2\/23 (c) 0.5 (d) -4\/3 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5310 + 18203 = 34*k - 8379. Calculate the remainder when k is divided by 46.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -556 divided by -1515\nAnswer: 556\/1515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 24631 = -38484. List the prime factors of f.\nAnswer: 5, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 1 - (48 - 15 - 29)) + 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1202111210 (base 4) to base 12.\nAnswer: -175118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546*h = 293*h + 3289 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 10, y + 2*i = 3 + 2. Let h be (-2)\/(-9) + 34\/y. Let d(w) = 5 + h*w**3 - 2*w**3 - w**3 + 4*w**2 - 3*w. What is d(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*c = -194420, 5*c = 4*w + 4*c - 155536. Does 66 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36306 + 821?\nAnswer: 37227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 688653, 1377304, 2065955, 2754606?\nAnswer: 3443257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -315481, -315489, -315501, -315517, -315537, -315561, -315589?\n\"Answer: -2*g**2 - 2*g - 315477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 125*k - 5618. What is c(41)?\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(2*n + 0 + 0) + (-n - n + 11*n)*(-2 - 3 - 21).\nAnswer: -232*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10012 - 110?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/20)\/((-1)\/48). Let n = -70 + l. Suppose -4*q - n*f - 8 = 0, -q + 7*f + 8 = 5*f. Solve 3*r - 5*r + 4 = q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (243\/(-2))\/(-387*(-60)\/15480)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 604864579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u + 128. Let q(d) = 3*d + 63. Let h(m) = -2*n(m) + 5*q(m). Let l be h(-12). Calculate the greatest common factor of 207 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 955*c**2 + 371405240*c + 3889060.\nAnswer: 5*(c + 388906)*(191*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3065 = -46*j - 2881 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 0.268563917.\nAnswer: -0.768563917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137009773.\nAnswer: 137009773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 3760, -2\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 3413 and 3414 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -2\/271, -1.6 in increasing order.\nAnswer: -1.6, -2\/271, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 375 = 7*y. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**2 - 2532. Let r(d) = -22*d - 13. Give c(r(x)).\nAnswer: -44*x - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.14, 6, 0 in decreasing order.\nAnswer: 6, 0.14, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.17 + -0.47. Let n = 51339 - 50998.97. Let p = n + -340. What is the nearest to 2\/9 in i, p, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -z - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 982539795 to the power of 1\/2, to the nearest integer?\nAnswer: 31345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 58226, 58225, 58224?\n\"Answer: -n + 58227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0.27, -1\/6, -3, -0.5?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179 divided by 325.\nAnswer: 179\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/24 and (3\/(-6))\/(54\/164).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2703*t + 51627 - 18898 + 124045 = 0 for t.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 393, -5\/4, 5, -5 in increasing order.\nAnswer: -5, -5\/4, 5, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6388.\nAnswer: 2, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160 - 159 - (-1 - (-89)\/(-1)).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.306 + -0.606. Let u = -4 + 3.6. Which is the third smallest value? (a) 0 (b) o (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(6)\/sqrt(3) - (0 + 1 + sqrt(2))**2.\nAnswer: -3*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16263221*z**2 + 10508623*z?\nAnswer: -32526442","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/7, -6, 1\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2605424381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 22*x + 3)*(985*x**2 + 2 + 2*x**3 + 0*x**3 - 993*x**2).\nAnswer: 44*x**4 - 176*x**3 + 44*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 470234 to the power of 1\/2, to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.9 + -11.3. What is the nearest to 1 in y, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-63))\/(((-4)\/10)\/(196\/700))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/18 - 17*(-10)\/45. Let n(z) = -z**3 + 5*z**2 - 6*z + 9. Suppose -4*y + 4 = -12. Let d be n(y). Is s != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34386*m**2 + 17197*m**2 - 4*m + 17196*m**2 to l*m + k + z*m**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 451 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 1. Let w(u) = 9*u + 10. Let f(a) = 24*j(a) + 3*w(a). Let d be f(-2). Suppose 5*l + 685 = 5*m - 110, d = -5*m + 2*l + 795. Does 22 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 195 + -193. What is the second derivative of 11*x - r*x**4 - 106*x**5 + 3 + 6*x**4 - 4*x**4 wrt x?\nAnswer: -2120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107167824289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 59.39439km?\nAnswer: 59394390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 11 = 14. Suppose 2*n = n + s. Solve w + 31 = n*w - 3*j, -28 = -2*w + 4*j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 15*y**2 + y + 2*y**3 - 4 - 14*y**2 - y**3. Let a be x(0). Let i = a - -10. What is the lowest common multiple of 7 and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*l - 23 - 87*l + 23.\nAnswer: -139*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.171 - -0.029. Which is the nearest to 0.3? (a) 4 (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 2)*(1 - 2 - 3)*(5 - 5 - 4*t) to the form s*t + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-98)\/(-7))\/(-56)*-56\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 2*c**2 - 2*c**2)*(-c + 13*c + 7*c).\nAnswer: -38*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 15*g = 10*g - 20, 12 = 3*g. Solve -44 = -9*i - j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 6167*n - 36975. Give h(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 533447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27014?\nAnswer: 2, 13, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/467894 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2)*t)\/t**(-2\/13)*(t**(1\/2))**(-1\/12) assuming t is positive.\nAnswer: t**(191\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7033207l?\nAnswer: 703.3207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjjjjjjjiijjjjjjjjj.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -126272527 >= -126272532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i. Let m(s) = 24*s**2 - 93380. Calculate c(m(h)).\nAnswer: -24*h**2 + 93380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2673, -2682, -2703, -2742, -2805, -2898, -3027?\n\"Answer: -g**3 - 2*g - 2670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) -2\/17 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 7:53 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 8. Suppose 0 = -5*d + r + 13, d + 2*d = n*r + 12. What is the third derivative of 5*j**d - 3*j**3 + 3*j**3 + j**3 wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - m = 7, m + 10 = 5*f - 3. Suppose f*s - 2 = -5. Let o(q) = -16*q**3 - 2*q**2 + 1. Let j be o(s). What is the greatest common divisor of j and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -29. Suppose -x + 2*x - t = 0. What is the smallest common multiple of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 2*s**7\/105 - 23*s**6\/15 + 481*s**5\/15 + 184*s**4 + 384*s**3 + 78*s**2. Solve m(t) = 0 for t.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 13 = 5. Suppose -4*a + 11 = -o, 2*a + 9 - 1 = -4*o. Let l = a - -3. What is the remainder when l is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55224 by -24.\nAnswer: 2301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000554 to 7 decimal places.\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 205178958 to the power of 1\/2, to the nearest integer?\nAnswer: 14324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + sqrt(640) + sqrt(640)*-4)\/sqrt(2) + -1 + sqrt(605) + -1.\nAnswer: -12*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 302804 and 6021332?\nAnswer: 4964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/9 + 520*g\/9 - 508\/3.\nAnswer: -4*(g - 127)*(g - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21\/4 (b) -99 (c) -0.6 (d) -0.02 (e) 4 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 378829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 y when three letters picked without replacement from yycycc?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3560\/(-267))\/(3*4\/90)*106\/(-424).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/27 - (0 - 311). Suppose -2*m - y + k = 0, -148 = -m - 3*y + 4*y. Let z = 232 - m. What are the prime factors of z?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -148153, -296352, -444581, -592834, -741105?\n\"Answer: p**3 - 21*p**2 - 148143*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m + 1. Let f(b) be the first derivative of b**4\/4 + 29*b**3\/3 + 14*b**2 - 9*b + 125. Let c be f(-28). Calculate s(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 7:32 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**4 - u**3 + u**3 + 2*u**4 + 2*u**4 - u**4 + (2*u**3 - 6*u**3 + 3*u**3)*(1 - u - 1).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 192\/24*-1*(-2)\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2184 + -2178. Which is the fourth smallest value? (a) 5 (b) l (c) 16\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (135\/60)\/((-732)\/21472)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 9406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -785, -837, -889, -941, -993?\n\"Answer: -52*z - 733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2928910?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 427890*u - 4 - 427888*u + 4.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/66)\/(7\/(-7)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554702063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -994008 - 0.1.\nAnswer: -994008.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -237 + 245. Solve -6*u + 4*u = i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*((sqrt(1216) + 0)*5 + (sqrt(1216) - (-3 + sqrt(1216) + sqrt(1216) + -4))) + -3)**2*-4.\nAnswer: -701712 - 13824*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 15 = -b, 4*g - 3*g + 4*b = 9. Calculate the smallest common multiple of 2 and 1\/((-1)\/(-2))*(-3)\/g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155 (base 9) to base 5.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-232)\/812)\/(2\/(-28)*-3)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f**2 - 4*f - 37. What is the remainder when a(-5) is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89 - -94. Suppose 2*w = -4*t + 1176, -3*w - l*t + 755 = -1005. Is 20 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 881400 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: Differentiate 4*q*y**2 + 7*q*y - 117884*q - 9751*y + 2 with respect to y.\nAnswer: 8*q*y + 7*q - 9751","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.43+-1102057845\nAnswer: -1102057846.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4))**37\/(q**(1\/4))**2)\/(q*q*q**(-1\/3)*q*q*q*(q*q\/(q**(-1\/3)*q)*q)\/q)**(1\/10) assuming q is positive.\nAnswer: q**(163\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*s**3 + 949*s**2 - 503*s + 68 wrt s?\nAnswer: 126*s + 1898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58032 < 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/9, 1\/6, 0.6, 6\/5, 1.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 424357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/47 - 115\/329. Which is the closest to l? (a) 1\/2 (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, 2, -1.75 in decreasing order.\nAnswer: 2, -1.2, -1.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2260 divided by -565\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 115418200 to the nearest 1000000.\nAnswer: 115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + o**2 - 18*o - 30. Determine l(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-15 + 25 - 10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 12 = -10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + 2.4. Let y = 17 + -32.1. Let g = y + 5.1. Sort k, -3\/7, g in decreasing order.\nAnswer: k, -3\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - -48. Let n = r + -6. Suppose 1 = c + n. What is c rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31693 + 17798. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -6, 32, -1, 45686 in ascending order.\nAnswer: -6, -1, 2, 3, 32, 45686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84986 - -84989. Factor 0 + 125\/2*g + 5\/2*g**i + 25*g**2.\nAnswer: 5*g*(g + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24994553?\nAnswer: 47, 531799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29674365?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 247 - 235. What is the greatest common divisor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 3*c. Let w(x) = -12*x**2 - 16*x - 9. Let g(a) = 3*a**2 + 4*a + 2. Let r(o) = 9*g(o) + 2*w(o). Give 4*d(s) - 3*r(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 3\/5, 4\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)\/(-5*sqrt(28)\/sqrt(4)))\/((sqrt(10) - 4*sqrt(160)) + (sqrt(30)\/(sqrt(6)\/sqrt(2)) - sqrt(10))))**2.\nAnswer: 1\/1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a + 10*a + 3*a - 32 + a. Suppose 72*p - 68*p = 60. What is the units digit of s(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 153\/4 - 38. Let p = 0.24 - -6.76. Let l = 7.5 - p. Which is the smallest value? (a) k (b) -2\/9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqgeqeqhkk. Give prob of picking 2 e, 1 k, and 1 g.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 41*h**2 - 3*h - 128. Calculate c(-41).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 40 (b) -0.3 (c) -0.5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10120, -17909, -25704, -33505?\n\"Answer: -3*h**2 - 7780*h - 2337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14430605 (base 7) in base 4?\nAnswer: 11032030211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 107880 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1008)*2 + ((4*sqrt(448) - sqrt(448)) + -1)**2.\nAnswer: -24*sqrt(7) + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 379220 and 898805?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -h + 10, -3*h - 1 = -2*n + 3. Let p(t) = t + 32*t**3 - 3*t**2 + 2*t**n - 30*t**3. What is p(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764535392.\nAnswer: 2, 31, 67, 11503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**6\/120 - y**5\/10 + y**4\/12 - 2*y**3\/3 - 18*y**2. What is d(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111 - 337\/3. Let f be 98\/(-4851) - (-293)\/(-198). What is the third biggest value in s, 38, f, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4\/15 + 97534*n**3\/15 - 79257752*n**2 - 5946379784*n\/15 - 4757415968\/15 = 0.\nAnswer: -4, -1, 24386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -2102.\nAnswer: -2\/1051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.11 to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 5 + 4)*(-4 + 0 + 3)*(6 + 0 - 4)*(-6 + 1 + 0)*(60*g + 723 - 723) in the form r + q*g and give q.\nAnswer: -4200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -44*(12\/5)\/((-123)\/205). Solve 168 = l*z - 204*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9410?\nAnswer: 2, 5, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4ca (base 14) to base 8.\nAnswer: 1702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 25 = 0, 35 = 4*w - 5*a - 6. Suppose -w*i + 225 = i. Suppose -72*k + 1350 = -42*k. Is i less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 + 1)*(-3*n + n + n) - n - n + 5*n + (2*n + 0 + 0)*(-2 + 2 + 1) + 0 + 0 - 2*n + 1 - 1 + n to o*n + y and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2134*i**2*n + 68*i**2 - i*n + 4*i - n - 1 wrt n.\nAnswer: 2134*i**2 - i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/5 in -1\/7, 230, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16544 divided by -47.\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*d - 36 - 4, -5*i = -3*d - 100. Suppose 0 = -k - k + 10. Let o = -2 + k. Solve o*n = -n - i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689077 is divided by 7104.\nAnswer: 7093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1719 and 1337.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007496928 rounded to five decimal places?\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5598637438 rounded to 4 dps?\nAnswer: 3.5599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6045, 2062, -1921, -5904, -9887, -13870?\n\"Answer: -3983*m + 10028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 34*b - 7. Let z(c) = 34*c - 9. Determine 4*u(s) - 3*z(s).\nAnswer: 34*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 218 and 102133.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333244 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4058 + 4227. What is the nearest to 1 in -2, -3, n, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1511*m**2 - 104*m**3 + 1818*m**2 - 72*m**3 - 4470*m**2 - 2*m**4 wrt m.\nAnswer: -48*m - 1056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -549.19 to 0 dps.\nAnswer: -549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -84, -163, -274, -417, -592?\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -721 + 393. Let p = -170 - r. Does 20 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hpxx when four letters picked without replacement from {u: 1, p: 8, h: 2, x: 4}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2584.9991972 - 2585. Round d to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5800000 rounded to the nearest one hundred thousand?\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 = -2*q, 3*q + u + 2*u = 15. Solve -3*l = -q*c + 5, 3*c = 3*l + 4*c + 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18128515 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f + 6*f - 4 - f**2 + 13 - 7*f. Let d be v(7). Let p(u) = -u**3 + 4*u**2 - 2*u - 2. Let q be p(d). Solve 5*y - 4*y + q = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10078 and -61?\nAnswer: 10139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 2 + 3 - 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 10 - 1 = 0. Suppose g = -4*x - 1. What is the nearest to x in -1, 2, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-36) + 3\/(-9). Suppose 0 = 3*q + 4*z - 26, o*z = q - z + 3. Determine h, given that 0 + 1\/5*h**q + 1\/5*h = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 25 = -95. Let z = p + 17. Calculate the remainder when (-2 + z\/(-2))*2 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.011, 3\/4, 2122\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 12:19 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i - 1. Let u be z(-1). Suppose 5*j + 2*g = 7 + 14, 0 = 4*j - u*g. What is the third derivative of 2*f**3 - f**3 - j*f**2 - 4*f**4 - f**3 wrt f?\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 78? (a) -1\/2 (b) -9450 (c) -3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrlelgwgrwrl. Give prob of sequence rg.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 840 and -565.518?\nAnswer: -475035.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -419075325, -838150650, -1257225975?\n\"Answer: -419075325*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -22 (b) -1\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6232840.796 - -0.17001?\nAnswer: -6232840.62599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2 - (3 - 8)) - (-2 + 7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t + 23*t = 8*t + 7*t. Solve t = 6*u + 20*u + 78 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.278 + -19.378. Let v = -19 - t. Which is the nearest to v? (a) -4 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/10 - ((-1346)\/(-4))\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u. Let i be l(2). Let p = -36.03 - -36. Let d = p + 0.04. Put i, d, 0.3 in ascending order.\nAnswer: i, d, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1724 + 1691 - 2*w**3 + 4*w**3.\nAnswer: 2*w**3 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7117 divide 3629257214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 735795 divided by 5\nAnswer: 147159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5876, 2, 3, 65 in descending order.\nAnswer: 5876, 65, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5))**(18\/5)*((y\/(y**(2\/3)*y))\/y)\/(y**(-19)*y) assuming y is positive.\nAnswer: y**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-6 - -5) - -10 - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3166 = 4*w, -13*w + 11*w + z = -1585. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -56*t**3 - 414 + 14*t**2 - 1636 + 26*t**2 - 45*t**2 wrt t?\nAnswer: -168*t**2 - 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 3. Let q = c - -1. Let i be (-23)\/(-20) + q\/(-10). What is the second smallest value in 0.2, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.1, -1\/4, -0.555, -5 in decreasing order.\nAnswer: 2, 0.1, -1\/4, -0.555, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z + z + 1 + 0*z. Give t(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (87\/(-6) + 1)\/((-5 - 6175\/(-1216))*-6). Factor 0 - x*g**4 - 3\/5*g**2 - 9*g**3 + 0*g + 192\/5*g**5.\nAnswer: 3*g**2*(g - 1)*(8*g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 330\nAnswer: -1980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/(-30)*3*2\/(-3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5 - 4*m + 0*m + 2. Let g be v(6). Round g to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*15\/10)\/(((-10)\/35)\/((-12)\/(-504))).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/18*-4)\/((-4)\/6). Let s = 8.7 - 9. What is the closest to 1 in h, s, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/11 (b) -6 (c) -82\/11 (d) 1 (e) -62 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26682 is divided by 342?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 14*w**2 + 4*w + 2. Give j(-14).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 148.999999 + -149. What is t rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -7. Suppose -2*o - a*o = -80. Suppose 14 = -n + 3*n. Calculate the remainder when o is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - i + 4*t - 5 = 0, -19 = 3*i - 5*t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3309930948?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1122 (base 3) to base 8\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -1.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -39*p + 1 + 2 + 40*p. Let g(x) = -x**2 + 7*x - 11. Let w be g(6). What is d(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wiyyyyyhyhyddh. What is prob of sequence dhw?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13785123 to the nearest integer?\nAnswer: 3713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 0)\/((-6)\/276). Suppose -6*o = -4*o - a. What is the remainder when o is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*f + 24. Factor o + 4*o - 13*o - f + 6*o + 2*o**2.\nAnswer: 2*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 6*q**2 + 2. Suppose 6 = -4*g - 18. Let p be w(g). Solve 0 = -p*d + 3*d + 2*s - 6, 9 = 3*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y - 3*y + y)*(-y**2 - 2*y**2 + 2*y**2) - 23*y**3 + 76*y**3 - 247*y**3 as v + s*y**2 + d*y + t*y**3 and give t.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 6*u**2 - 7*u - 14. What is i(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1079, 1272, 1601, 2072, 2691, 3464?\n\"Answer: f**3 + 62*f**2 + 1016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -520, -1068, -1640, -2236, -2856, -3500, -4168?\n\"Answer: -12*n**2 - 512*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - d**3 + 13*d - 37*d + 19*d. Let w(n) be the third derivative of -n**6\/40 - n**5\/20 - 7*n**4\/12 + 19*n**2 - 20*n. What is 8*u(i) - 3*w(i)?\nAnswer: i**3 + i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5 + sqrt(304) + -4 + 2*sqrt(304)))**2 + (sqrt(114)*-1*1)\/sqrt(1944).\nAnswer: 431*sqrt(19)\/18 + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.800174 - -20.8. Round i to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562236592 a multiple of 1995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*t + 21 = 0, 2*f - 13*t + 10*t = 10. Let g = -0.22 - -1.52. Let k = 1.27 - g. What is the closest to f in 3, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/96 and -55\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*y**2 + 2 + 0*y + 0*y + 2*y**2 + (-4 + 4 + y)*(3*y - y - y))*(-347 + 268 + 212).\nAnswer: 133*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 42131?\nAnswer: 42131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 4*l**2 + 2. Let s be a(-4). Let f(v) = -5 + 0*v**2 - v**s + 0*v**2 + 6*v. Let r = -9 + 13. Give f(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740637891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = o - 1518. What are the prime factors of o?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsffsdfaffsbd. What is prob of picking 1 a and 1 d?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -2112430.\nAnswer: 9\/2112430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 49. Which is the smallest value? (a) 0.5 (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 + -0.3. Let p = -38.41 + 38.42. What is the closest to n in -0.2, -4, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13503606?\nAnswer: 2, 3, 2250601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1098134, -2196255, -3294366, -4392461, -5490534, -6588579, -7686590?\nAnswer: -8784561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, h: 4, o: 1, w: 1, f: 4, u: 3}. What is prob of picking 1 f, 2 h, and 1 o?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 5*f**2 - 4*f + 3. Let y(a) = 8*a + 5. Let z be y(-1). Calculate the least common multiple of v(z) and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -351\/7 at least as big as -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1352, 134, -5 in descending order.\nAnswer: 1352, 134, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iylyiibzibiyicii. Give prob of picking 1 i, 1 y, and 1 b.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9527496 and 132.\nAnswer: 9527496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z + 19. Let m be l(8). Suppose 3*o + 4*n = 8, 4*n = -o + n + 6. Suppose -m*i - u + 17 = o, u = -0*u - 1. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**5 - n**4 + n**3 - 1. Let v(s) = -56*s**5 - 56*s**4 + 76*s**3 + 144*s**2 + 32*s - 20. Let y(p) = -20*i(p) + v(p). Solve y(l) = 0.\nAnswer: -2, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3\/(-21)*1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -4, 33 in ascending order.\nAnswer: -4, -2, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40.9 - 41. Which is the nearest to i? (a) -0.4 (b) 2\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 25 + 50)*(-4*k**4 + 4*k**4 - k**4).\nAnswer: -51*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298778 is divided by 736?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -29. Let l be (0 - u)*(-1)\/(12\/(-4)). Factor 1\/3*o**4 + 1\/3*o**5 + 1\/3*o - 2\/3*o**2 - 2\/3*o**3 + l.\nAnswer: (o - 1)**2*(o + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/231*(-7)\/(-5)*(-19)\/(38\/(-111))?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 9*w**2 + 4*w + 4. Let p(u) be the first derivative of 4*u**3\/3 + u**2 + 2*u + 3. Let q(l) = l - 1. Let v be q(-6). Calculate v*p(c) + 3*o(c).\nAnswer: -c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 d when three letters picked without replacement from {d: 2, j: 2, t: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s - 10. Let n(x) = x. What is a(n(g))?\nAnswer: -4*g - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 12 = 4*p, -s - 1 = 4*p + 7. Suppose -6 = -5*c + 4*c. Let n be s\/c - 2\/(-3). Let u(i) = -i**3 - i**2 + i - 2. Give u(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843287?\nAnswer: 59, 14293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*w**4 + 12*w**3 + 173*w**2 wrt w.\nAnswer: -72*w + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3. Let p(h) = 6*h + 70. Let w(b) = 12*f(b) + p(b). Let t be w(-4). Calculate the highest common divisor of t and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = n - 0 + 34, 0 = -2*f - n + 8. Let y be -1*(-3)\/(f\/(-14)). Let d = y - -15. What is the remainder when 47 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 46164463?\nAnswer: 46164455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -30) + -524 + 474 - (48 + 3)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2.1. Let z = -2.231 - -2.231. What is the nearest to n in z, 3, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-324)\/2754*102\/(-15).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - -116. Suppose -i + 5*i + 20 = 0, 2*j = -4*i + r. Suppose 12 + j = 5*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -10*o + 8. What is a(4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29\/2 + 14. Let q = -1038.1 + 1588. Let b = 550 - q. Sort m, 3, -0.2, b in increasing order.\nAnswer: m, -0.2, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -1.2. Let t = 0.9 - v. Let a = t + 0.1. Are -4 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence adff when four letters picked without replacement from ffzdeftatfaffff?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**4 + 9*c**4 - 4*c**4 + (19 - 54*c + 39*c + 24*c)*(-2*c - 2*c + 6*c)*(-c**2 + 0*c + 0*c) to the form k*c**4 + b + s*c**2 + x*c + m*c**3 and give m.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 5 + 0*c**2 - 4*c - c**2 + 19 to the form f + j*c**2 + t*c and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.99 - -0.01. Let q = -27\/2 + 13. Let x be (-3)\/((-57)\/6 + -1). Put q, x, p in descending order.\nAnswer: p, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -121818 - 3?\nAnswer: -12181b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**5\/(p*p**(-10))*(p**2\/p)**(-39) assuming p is positive.\nAnswer: p**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36441511, -36441513, -36441515, -36441517, -36441519?\nAnswer: -36441521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 158 + 571*o - 640*o - 304. Calculate b(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -36*z + 109. Give n(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112494 is divided by 915?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**5\/120 + p**4\/8 - p**3 - 2. Let k(i) be the third derivative of j(i). What is k(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -7\/6, 3\/2, -1\/11, 3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-207)\/115)\/((-6)\/(-20)). Let f(y) = -9*y - 20. Give f(l).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 30*t**2 - t + 1. Let z be 2 - 8\/3 - 185\/(-111). Calculate u(z).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -1. Let k(x) = x**2 - 2*x - 5. Let m be k(4). Suppose m*p + 16 = 52. Calculate the smallest common multiple of c and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 173, 61, 0 in decreasing order.\nAnswer: 173, 61, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34380 and 52716.\nAnswer: 790740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 222440665?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 3, -10.05 in decreasing order.\nAnswer: 33, 3, -10.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3658aa (base 11) to base 6\nAnswer: 20223210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1015, -2005, -2995, -3985, -4975, -5965?\n\"Answer: -990*l - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34746*u + 6208?\nAnswer: -34746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -46*b - 388. Does 6 divide g(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1150*l - 69552 = 40848 for l.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 87179.2076 to the nearest one hundred.\nAnswer: 87200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d**2 - 4*d + 9. Let u(r) = 4*r**2 - 2*r + 5. Determine -6*m(s) + 11*u(s).\nAnswer: 2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28190411.\nAnswer: 37, 41, 18583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -1\/9, 2\/7, 0.01?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 5. Let g = 1\/44 - 3\/11. What is the closest to -1 in z, g, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(65) - (sqrt(65) - (sqrt(65) - 2*sqrt(65)))))\/sqrt(5))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(5\/6)\/m**(-16) assuming m is positive.\nAnswer: m**(101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2*b - b**2)*(2 + 2 - 2 + 1 + 0 + 1 - 6 + 2 + 2 + (2 - 2 - 1)*(2 + 3 - 4))*(1 - b - 1).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/6)\/((-1)\/6). Suppose c + 4*c - 30 = 0. Let g = k - c. Solve 0*y = -5*y + 5*h - 10, -g*y - 1 = 3*h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*q = 377 - 427 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzqj when four letters picked without replacement from zjjzjzjzzqqjjzj.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q. Let w(k) = 388519220*k**2. Determine m(w(u)).\nAnswer: -777038440*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 + 444*i - 33 + 3*i**3 - 882*i + 440*i + 33*i**2 to c + k*i**2 + z*i + f*i**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3209221 minutes in hours?\nAnswer: 0.038682035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(4\/13)*z**(-8)*z**(3\/13)\/(z\/z**(-8)) assuming z is positive.\nAnswer: z**(-214\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyg when three letters picked without replacement from {y: 2, f: 2, g: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + x - 3 = 2*c, 27 = 4*c - 5*x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*a - 1 - 116*a + 49*a + 1.\nAnswer: -17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 10*w - 20. Let j be q(-11). Let x(i) = -38*i - 11. Is x(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**6\/30 - l**5\/60 - l**4\/24 + l**3\/6 - 3*l**2\/2 + l. Let d(x) be the first derivative of h(x). Determine d(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*v = 96, -2*r - v + 120 = 3*r. Suppose -9*z = 41 - 725. Let k = z + r. Is 25 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1636*w + 1045*w - 536*w - 1.\nAnswer: 2145*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.15 + 0.15. Let f be ((-53)\/(-318))\/(2\/(-15)). Which is the third smallest value? (a) y (b) -4 (c) f (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26563 less than 3?\nAnswer: 26566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 16*o + 145. Let j be k(-9). Let u(h) = -8*h - 1. Let w(y) = -y - 1. What is j*u(v) - 3*w(v)?\nAnswer: -5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 11:59 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61751 - -29640527\/480. Find the common denominator of 13\/110 and c.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*d - 17689\/2 - 1\/2*d**2 = 0.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-8)*4*-2. Suppose -5*y - 18 - 22 = -5*b, 3*b + 60 = -u*y. Let w = 8 - y. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115cb1 (base 13) in base 8?\nAnswer: -1446523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 41*y**2 + 9*y - 12. Let z(g) = g**2 + 1. Let b(c) = -2*a(c) + 6*z(c). Let o be b(-15). What is o rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b**2 + 5. Let x(q) = -6*q**2 - q + 6. Let p(t) = 3*j(t) - 2*x(t). Let o(w) = -7*w**2 + 2*w + 4. Let c = 1 - -2. Give c*o(l) - 4*p(l).\nAnswer: 3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**5 - 6*b**3 + 4*b - 15*b**3 + 5*b**3 - 8*b**2 + 8*b**4 + 7*b**5 = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 12*x**4 + 7*x**3 - 11*x**2 - 7*x - 1 = 0.\nAnswer: -1, -1\/3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31733354, 31733343, 31733326, 31733303, 31733274?\nAnswer: 31733239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -14) + (-43 - -36).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a - 61*a + 41*a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.421 times -39686\nAnswer: 16707.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3976.72km to micrometers.\nAnswer: 3976720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 12886.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -1 (c) -0.2 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2710 + 2706. Let o = -1.1 - -1. What is the nearest to o in r, -0.05, -1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*h + 2*j, 4*h = 3*j - 0 + 7. What is the tens digit of (h - (-19)\/(-4))\/(5\/(-120))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 11 + 29. Let f(s) = -7*s - 4*s + q*s + s. Let o(c) = -c + 22. Let d(k) = -2. Let b(y) = 22*d(y) + 2*o(y). Give f(b(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + ((-20)\/5 - (-3 - -1)). Put 60, v, -3, 0 in decreasing order.\nAnswer: 60, 0, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 i when three letters picked without replacement from {i: 7, r: 12, g: 1}?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/9 + 100*z**2\/9 + 358*z\/9 - 460\/9.\nAnswer: 2*(z - 1)*(z + 5)*(z + 46)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/13660 and 67\/5464?\nAnswer: 27320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2302315 - 1?\nAnswer: -2302320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/5 - 427536*v**2 - 250136174*v\/5 + 252273852\/5 = 0 for v.\nAnswer: -118, 1, 1068957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12196750 > 12196749?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 158557133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + a + 3*a + 2*a + 3*a - 3*a - 3*a + a + 4*a + (-4*a + 5*a - 3*a)*(-4 + 3 + 0) - 155*a - 435*a - 854*a.\nAnswer: -1437*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b**(-2\/39)))*b**(-1\/4))\/(b**(-45)*b*b**(-6\/5)\/b) assuming b is positive.\nAnswer: b**(36581\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -194411250 divided by -155529\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/1888 and 57\/64.\nAnswer: 3776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1\/((u\/u**(3\/4))\/u)*(u**(-2))**(-27\/4))\/((u**0)**15\/(u\/u**0)**0) assuming u is positive.\nAnswer: u**(61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u**11)))**47\/(u**(-1\/5)*u\/u**(-1\/8)))**39 assuming u is positive.\nAnswer: u**(878397\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = 44*a - 40*a + 22*a. Put a, 1, -4, 20, -3 in decreasing order.\nAnswer: 20, a, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 - 9*(9 - 10). Let j(a) = -4*a + 9 - 4*a + 0*a + 129*a**2. Is j(r) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -53 - ((-4)\/4)\/1. Let g = 88 + l. Suppose -4*n = -3 - 13. What is the greatest common factor of g and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 + 7)*(-1 + 0 + 3)*(-18*r - 88*r - 73*r) to the form o*r + c and give o.\nAnswer: -3938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 390 divided by 195\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, b: 3}. What is prob of picking 2 b and 1 s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -9395\nAnswer: -1\/1879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5 = -3*g + 163, -g = 2*y - 51. List the prime factors of g.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87368*s**2 + 293391*s**2 + 196870*s**2.\nAnswer: 577629*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 135 and 85398924.\nAnswer: 85399059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -305+-24\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1334 - 1368 - -23*1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4409*p - 13 - 5 + 4407*p. Let s be f(-10). Let 999*l**3 + 0*l**s + 0*l**2 + 5*l**4 - 1009*l**3 = 0. What is l?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10564\/15819 - -6\/5273. Sort r, 4, 3, -0.4, 23 in descending order.\nAnswer: 23, 4, 3, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -884029, -1768084, -2652125, -3536146, -4420141, -5304104?\nAnswer: -6188029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**3\/11 - 2724*u**2\/11 + 77370*u\/11 - 74648\/11 = 0.\nAnswer: 1, 28, 1333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 5*p**2\/2 + 2*p - 1. Is b(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30.62 - 30.7. Sort -1\/4, 0, 3, c in decreasing order.\nAnswer: 3, 0, c, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 6*u + 3. Let o be y(5). Suppose -2*s - o = -30. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2060*f + 64834 = -15506 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*u + 99. Suppose 5*v - 89 - 56 = f, 5*v - 145 = -3*f. Let j = v + u. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.1294125?\nAnswer: 0.06470625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, 16, -4 in descending order.\nAnswer: 16, 4, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -42*v - 35. Let q(o) = -7*o - 6. Let s(p) = -p**2 + 5*p. Let r be s(6). Let x be -4*(-6)\/8 + 32. Give r*a(l) + x*q(l).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 159360 and 29880?\nAnswer: 478080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 5*f - 3*s, 14*f = 13*f + s - 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 = 2*s - 100 - 95. Put -2, 5, s, 4, -1 in decreasing order.\nAnswer: 5, 4, -1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -v + 6695 - 6697, -5*v - 39 = w - 93 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 0*z. Let s be (-1)\/(-1) + 9\/3. Suppose z*r = -r - s. Which is greater: r or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149240 - 149205 = 35*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-56)\/(-252)*9\/(-12)*(1 - 5). What is the closest to -1\/3 in 6, i, 2\/259?\nAnswer: 2\/259","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d. Suppose -w = -0*w - 3. Suppose 2*v - 10 = -w*v. Let s(j) = j**2 - 5*j. What is v*s(x) - 5*r(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.098626l in millilitres?\nAnswer: 9098.626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 10, 48, -460, 3 in increasing order.\nAnswer: -460, -4, 1, 3, 10, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/1 + (1 - 1). Let s be ((-36)\/(-8))\/((-9)\/(-60)). What is the highest common divisor of a and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, t: 5}. What is prob of sequence tt?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*l + 106*l = -329. Let b(k) = k**2 + k - 5. Let y(h) = -2. Determine l*y(i) - 2*b(i).\nAnswer: -2*i**2 - 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -25\/492, -20, 2 in increasing order.\nAnswer: -20, -3, -25\/492, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 821027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 at least 513\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 0*w - 1\/120*w**6 - 2*w**3 + 7\/60*w**5 + 11\/24*w**4 - 3*w**2 + 0. What is the units digit of b(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -29. Suppose 0 = -z*r - 4*p + 2556, -2*p + 8 = -0*p. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -24*u - 169. Let x be z(-7). Let o(b) = -34*b**2 + b + 1. Give o(x).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11946433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (25857\/18 + 13)*6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, j: 1, g: 1, z: 5, l: 1}. Give prob of picking 1 y and 3 z.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(3 + (-2)\/2). Suppose 0 = -j*s - 4*s + 12. Sort s, 5, -3.\nAnswer: -3, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 110388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/6600 and -23\/10230?\nAnswer: 204600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*((-1)\/2*3)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -248 from 36085316.\nAnswer: 36085564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14305.93151 - -0.06849. Let k = r + -14272.997. Let a = 33 - k. What is a rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 7:55 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 8:43 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.7 take away 1880?\nAnswer: -1787.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = 12*u - 42 - 44 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77 + 330 + 159 + 2 + 0 - 3 + (-2 - 1 + 4)*(1 - 1 - 1))*(4 - 1 - 3*n - 3).\nAnswer: -1692*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 972357 or -3?\nAnswer: 972357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4 - 269*g - 107*g + 1. Let w be ((-2)\/(-4) + 0)\/(-1)*2. Is c(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23818, 47641, 71466, 95293, 119122?\n\"Answer: s**2 + 23820*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51 * 16.\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/9 + (-652572)\/162. Let z = r - -7533. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9*q**2 + 2*q - 1. Let z = -1 + -1. Suppose 3*t - 5 = 8*t. Let r be (z + 1)*t*1. What is k(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 6*r**2 - 4*r + 5. Let v be j(-5). Let c(l) = l**2 + v*l + 0*l**2 - 2*l. What is the units digit of c(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, p: 2, c: 6, e: 3, w: 1}. What is prob of sequence wpg?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.176 + 0.176. Is d >= -1.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 29 - (0 - -2 - 1). Let m = -282 - -286. What is the highest common factor of b and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from ntntkttbnbnkennn?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -535*i - 11*i**2 + 535*i + (2 - 1 - 2)*(3 - 9 + 2)*(-i - 2*i**2 + i).\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 29*r + 0 - 23*r + 65*r - 22*r - 25*r.\nAnswer: -34*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-472*z + 5*z**3 + 472*z)*(z + 3*z - 5*z + (-1 - 2 + 2)*(-6*z + 3*z + 2*z) - 3*z + 2*z + 2*z + 5*z - 12 + 12) + z**4 + 3 - 3.\nAnswer: 31*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 70523.335 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340 + 336 = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, o: 2, f: 1, x: 4}. What is prob of sequence oxf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1415023 by -1.\nAnswer: -1415023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 240 = -o + 4*k, 5*o + 3*k - 371 = 0. Let j = o + -85. Is 282\/4*(-12)\/j a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 + 5.06. Let s = 0.1 - 2.1. Let n = s + -3. What is the nearest to 1\/3 in 0.2, n, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -17*i**2 - 81*i - 211. Let q(t) = -3*t**2 - 16*t - 43. Let l(g) = -11*q(g) + 2*u(g). Factor l(p).\nAnswer: -(p - 17)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53565645 divided by 10713129?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*d + 24, 3*y + 1 = -4*d - 3. What is the second derivative of 10*a**3 + 4*a - 14*a + y*a**3 wrt a?\nAnswer: 84*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-384)\/(-18))\/8*(-2874)\/65144.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1679797, -1679784, -1679775, -1679770, -1679769, -1679772, -1679779?\nAnswer: -1679790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-56)*((-5)\/(-6) + (-221)\/(-663)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x + 18. Let b be l(-9). Suppose b = 7*t - 356 + 125. List the prime factors of t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16077100 to the nearest one hundred thousand.\nAnswer: 16100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -119 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/12204 and 77\/376290.\nAnswer: 2257740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -26*b + 28*b - 158, 2*b - 5*y - 151 = 0. What is the lowest common multiple of b and 12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 - 54*o - 2*o**2 + 4*o**2 - 21*o + 1302 - 1360.\nAnswer: -5*o**2 - 75*o - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 744197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 47 = 4*y, c - 7 = 3*y + y. What is the first derivative of -t**2 + 4*t**2 + t**2 - c - t**2 wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4602*p + 60384 = -432030 for p.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 5, 12, 2.3, 3, 2\/5, -0.0754?\nAnswer: -0.0754","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-9)\/15*-5. Suppose 0 = w*j + 4*f - 2737, f = -4*j - f + 3636. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - y = 2046. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - (35 + -99)) + -41\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 41237 = -44315. Does 36 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4)\/(c**17\/c) assuming c is positive.\nAnswer: c**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 6*w**2 - 7*w + 7. Let s be p(5). Let i be s\/9*(-6)\/2. Find the second derivative of -5*u - i - u**5 + 1 wrt u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407*j + 22814 = 441*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14500)\/140 - 235\/(29610\/(-324))\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - 0.41620619?\nAnswer: 25.58379381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/8 + 2\/(-8). Let p = -5.3 - -0.3. Let g = p - -7. Which is the smallest value? (a) n (b) 0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30493 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -261*s**3 + 84974*s**2 + 107*s - 1286457?\nAnswer: -1566*s + 169948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from qqlklqqqkklklqqqq.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (-13 + 37 - 51).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 23007556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdqjzrrs. Give prob of sequence zsq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q. Let i(c) = 30948*c**2 - 3406. Calculate i(y(f)).\nAnswer: 30948*f**2 - 3406","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 48 = -248. Let h = r + 98. Are -1\/49 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 6:41 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*z + 24 = 4*t, 12 = 2*t + 2*z. What is the remainder when t is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9441*c + 103932?\nAnswer: 9441","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**4\/4 + t**3\/2 - 10*t - 17. Let s(v) be the first derivative of f(v). Suppose s(x) = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 6*g + 12. Suppose -c = 3*a - 22, 0*a + 3*c + 46 = 5*a. Let m be d(a). Let u be ((-3)\/(-2))\/((-21)\/m). Does -2 = u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**3\/6 + 14*f**2 - 6*f + 2. What is the least common multiple of 20 and k(-14)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.83 take away -3.4?\nAnswer: 6.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-300)\/(-40) + 1\/2. Suppose 18 = -a*y + 154. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/p**29)*p\/(p*p\/p**(-1\/17))*p*p**(-13)*p**(-1\/5) assuming p is positive.\nAnswer: p**(1338\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.892 - -0.008. Let z = n - 6.9. Which is the closest to z? (a) -2\/11 (b) 0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -49*p + 13. Let d be f(9). Let r = d + 681. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*g + 8 = -w + 114*g, 0 = -4*w - 5*g + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 2*z**2. Let p be u(-2). Suppose 2*x - 42 = -p*x. 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: What is the second derivative of -s + 8*s - 65*s**2 - 95*s**2 + 35*s wrt s?\nAnswer: -320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 p, and 1 r when three letters picked without replacement from frfpprpppppp?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2. Let t(n) = -12*n - 227. What is t(d(l))?\nAnswer: 12*l**2 - 227","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/((-204)\/(-391)))\/(13\/26)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r - 3. Let c(h) = -5*h - 7. Let g be ((-4)\/(-8))\/(1\/(-14)). Let f(k) = g*y(k) + 3*c(k). Let l(j) = -8 - 2*j**2 + 8. Determine f(l(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -0.02332.\nAnswer: -2.02332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -d71?\nAnswer: d74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -152 - -149. Sort 3, -2, s in descending order.\nAnswer: 3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*i - 4*j, 4*i = -2*j + 3 + 7. Suppose -i*g - 13929244 = -g. Let a = 11664622 + g. What is a rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -939.02 + 938. What is the second biggest value in -0.5, 1\/4, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 907039 and 68159.\nAnswer: 11791507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -778387 = 2438*h + 4286*h + 3129*h for h.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -357, -547, -747, -957, -1177?\nAnswer: -1407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -7*r - 40 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 477*b**4\/4 - 764*b + 54. Find the first derivative of n(r) wrt r.\nAnswer: 1431*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -146*t - 293. Determine a(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 2*b + 3*b - 49*b - 14*b - 2*b + (24*b - 2*b + 7*b)*(2 - 1 - 3) + (0 + 1 + 1)*(2*b - 2*b + 3*b).\nAnswer: -115*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 - 0.1. Let o be 16*((-3)\/2)\/(-3). Let x be (o\/30)\/(8\/(-12)). What is the biggest value in x, i, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.15383553 + -1.66616931. Let t = -2.82 - b. Round t to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477131 is divided by 14458.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {p: 8, q: 2}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8815298 and -5?\nAnswer: 44076490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/2098 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15a (base 12) to base 8.\nAnswer: -326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976179167?\nAnswer: 5153, 189439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 307 + -44. Let w = g + -262.9857. Round w to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15370, 30733, 46096, 61459?\n\"Answer: 15363*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68 - (72 - -68)) + -16.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -n + 3, 753*n - 30 = 749*n + 2*c for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.1 - -0.1. Let d = -101834.9987 - -101847. Let o = t + d. What is o rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 37. Let v(z) = -3*z - 144. Let o(r) = -4*a(r) + v(r). Determine o(25).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i*w**3 - 5*i*w**2*x**2 + 4*i*w + 4*i*x**2 - 20*w**3 + 3*x**2 wrt w?\nAnswer: -6*i*w - 10*i*x**2 - 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 1563976?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 150\/20 - 2\/(-4). Let h be 18\/24 + 34\/k. Suppose 9*a - 8*a - h = 0. Solve -1 = 5*x - r + 5, -24 = 2*x + a*r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:49 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqeeqqqeqeqqe. Give prob of picking 1 e and 1 q.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2. Let d(g) = 165160*g**2. Determine v(d(q)).\nAnswer: 81833476800*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 5*a**2 - a. Let p be x(5). Let o be -3 + ((-12945)\/(-12))\/p. Let v = o - -1297\/6. What is the common denominator of v and 31\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -189562, -2, -1, -4 in decreasing order.\nAnswer: -1, -2, -4, -189562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*u**2 + 183*u**2 + 18*u**2.\nAnswer: 358*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -5) + 3 + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09248025 rounded to three dps?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 479\/5 - 100. Suppose 20*r - 68 = -168. Which is greater: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33080*n + 4 - 7 + 3 + 5.\nAnswer: -33080*n + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 160.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i - 13 = -3*r, 4*i - 25 = -3*r. Solve 4*n + 16 = -4*j, -5*n + 3*n - i*j = 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1847 or 136\/19?\nAnswer: 136\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - l**2 + 1. Let q(m) = -5*m**3 + 4*m**2 - 6*m - 4. What is 4*f(w) + q(w)?\nAnswer: -w**3 - 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33385 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 26. What is the hundreds digit of 3\/24 + 6261\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 - s**2 - 2*s**2 + (-2*s + 5*s - 4*s)*(0 - s + 0) + s**2 + 2*s**2 - 5*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from ojdjjjjbbpbjddb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03905805793 rounded to six decimal places?\nAnswer: -0.039058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7045443*l**2. Let w(x) = -x. Determine a(w(g)).\nAnswer: 7045443*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141392 is divided by 137033?\nAnswer: 4359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) 2\/27 (c) 1\/11 (d) -3 (e) 2.4 (f) -311\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -26, -34, -42, -50, -58?\n\"Answer: -8*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {w: 1, u: 5, s: 1, c: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 - 3*o - 5*o**2 + 2*o)*(0*o**2 + 2*o - 5*o**2 - o).\nAnswer: 5*o**4 + 4*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 82000000 rounded to the nearest one million?\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 858 is divided by 609.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 3588*t**3 - 7167*t**2 + 3582*t.\nAnswer: -3*t*(t - 1194)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82394a5 (base 11) to base 14.\nAnswer: 1d0ac39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 244 - 1223\/5. Suppose -x - 20 = 4*x. Let t be (6\/28)\/(9\/12). Which is the closest to t? (a) m (b) 0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -661756 divided by -661756\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*a**4)*(1 + 3 + 2).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1487.07 to the nearest ten.\nAnswer: -1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4439*l**2. Let o(z) = -6*z. What is p(o(q))?\nAnswer: 159804*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + (sqrt(208) + 2 + -2 - sqrt(208))**2 - (-4*(sqrt(208) + 2)*-3)**2).\nAnswer: -30525 - 2304*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3674*g + 1648*g + 3038*g - 62*g as x + p*g and give p.\nAnswer: 8298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 12:46 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -5*w + 4*w + 5*g, g + 230 = -4*w. Let k = w + 61. Suppose 14 = -k*u + 38. Solve 2*c - u*c = -8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + 1 + -1 + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4256 and 108187653.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 7. Let j be a(6). Suppose -29*o = -25*o - 36. Suppose -5*m = -o - j. Solve r + c = 3*c + 10, -5*r = -m*c - 26 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 4*h + 5. Let r be j(-5). Let o be r - (-2)\/2 - 1. Differentiate o + 2 - 5 + 2*q with respect to q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102*l**2 + 1351*l wrt l.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150 - 765*t + 372 - 81*t**2 - 222 wrt t.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -2 - 2)*(-8)\/192*6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -1a7?\nAnswer: -1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -299db?\nAnswer: -299d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 2*n**2 - 6*n + 3*n + 0*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + r. Let s(z) = 3*z**2 - 14*z + 3. What is 4*c(k) - s(k)?\nAnswer: k**2 + 18*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (117\/(-468))\/(4 + (-70)\/24)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20 + 59 - 2887*r**2 + 3206*r**2 wrt r?\nAnswer: 638*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7648 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 1\/10, -1\/8, 7\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6\/7 (b) -339 (c) 0.2 (d) 49 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 + 6\/(1 - -1). Let y(w) be the second derivative of -w**4\/12 - 5*w**3\/6 - 2*w**2 - w. What is y(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 2:01 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**9\/1890 + y**8\/1260 - y**7\/2520 - y**5\/15 - 17*y**2. Let w(x) be the third derivative of o(x). Factor w(j).\nAnswer: -2*j*(4*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 382 - 380 = 0. Solve -11 + 5 = -r*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.639 times -0.377\nAnswer: 0.617903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 8:48 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2238 and (356\/20 - 17)*5.\nAnswer: 4476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7330 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3091, 0.0211, 2\/13, -1\/6, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 7 - 3 - 4 + 5 + (1 + 2 - 2)*(6 + 0 - 4) + 2 - 1 + 0 + 0 + 0 + 4 + 0 + 5 - 4)*(1 - 1 - 6*v).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 4*p + 6. Let m(d) = d**3 - 2*d**2 + d + 6. Let c be m(0). List the prime factors of a(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1523*d = 715*d + 773*d - 1715 for d.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 15 in decreasing order.\nAnswer: 15, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -3, -5, 1442, -4 in ascending order.\nAnswer: -12, -5, -4, -3, 1442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -222309379460 and 120?\nAnswer: 222309379580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5185*z**3 + z**2 - 47172*z wrt z.\nAnswer: -31110*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.173804 decades?\nAnswer: 71.73804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 26, 38?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 82901.164 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -221 + 217. Let r(i) = 4*i + 17. What is r(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4384626203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*t**2 - 8*t - 135 wrt t.\nAnswer: 50*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + 4*r - 95. Let g be u(-8). What is the closest to 1 in g, -2, -13, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532437619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 439.6 - 440. Sort -4, k, 4 in descending order.\nAnswer: 4, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-6 + -1 + 2 + 4 - 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dccmccdnquncqm. What is prob of sequence nnqu?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (182\/273)\/(13\/5 - 3)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 227\/2 (b) -1 (c) -3\/4 (d) -2 (e) 1.3 (f) 1\/3 (g) 13\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97\/2 + -48. Solve -1\/4*b**3 - b**4 - z - 5\/4*b + 3*b**2 = 0 for b.\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 1\/4 (b) 2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 78*6\/36 + (-1)\/(63\/763)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -h - 135, -4*h - 540 = d + 2*d. Let q be 2\/((-140)\/h) - 2. Let l = q - -65\/126. Sort 1\/5, l, 2\/11.\nAnswer: 2\/11, 1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**3 - 10*r - 2*r + 12*r.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73.2 + 72.9. Let v(y) = y**3 + 3*y**2 - 2*y + 3. Let f be v(-4). Which is the nearest to 2? (a) 7 (b) d (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6717 and 839009275.\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -206.9 + 207. What is the closest to 0.1 in -1, z, 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5*p = 0, -6*p + 4*p = 2*o + 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -69, -1269, 1, -2, 5 in decreasing order.\nAnswer: 5, 1, -2, -5, -69, -1269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.27 - -11.47. Let c = -0.6 + 2.8. Let k = c - z. Which is bigger: k or -3\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 0*i**3 - 2\/5*i**5 + 0*i + 0*i**4 - 4 - i**2. What is the second derivative of j(b) wrt b?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-136231 + -19)*(4 - 552\/15). Round j to the nearest one hundred thousand.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -0.1 (c) 5 (d) -16 (e) -4968\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*w - 14 = -2*g, -2*g + 22 = 4*w. Suppose -3*s = x - 22, 0*s + 42 = g*x - 2*s. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1404 - 706 - 145*d - 700.\nAnswer: -145*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000050267 to 6 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -23009 <= -23012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -29*v**3\/3 - v**2 - 3*v. Let z be g(-2). List the prime factors of 2\/((-453)\/z + 4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 - 34*u**2 - 37*u + 90. Let r be m(-16). Calculate the highest common factor of r and 765.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*y = 41*y - 5*m - 35, 16*m = 6*y - 8*y - 138 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j**2. Let c(m) = m - 3923. Determine d(c(v)).\nAnswer: -5*v**2 + 39230*v - 76949645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7 = -r, -5*h + 0*r - 5*r = -25. Suppose -4*u + h*z + 16 = 0, -18 = -5*u + z + z. Solve c = u*t - c - 2, 4*c - 2 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.002 (b) 99\/2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4712 + 4872. Calculate the greatest common factor of 20320 and i.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/5*6\/36?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 938791?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/54)\/(4\/12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 531 - 162 = 433*h - 2229 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(w + 3 - 3) - w - w + 3*w + (0*w - 2*w + 3*w)*(1 - 1 - 2) + (-2 - 3 + 7)*(-1 + 0 + 0)*(40*w + 6*w + 25*w).\nAnswer: -145*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10280, 20561, 30842, 41123, 51404, 61685?\nAnswer: 71966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4021 (base 9) to base 10\nAnswer: 2935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000490839 rounded to 6 decimal places?\nAnswer: -0.000491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 466150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a7be + 7?\nAnswer: a7c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 936091408 and 5754.\nAnswer: 1918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 472933.1 nanometers in kilometers?\nAnswer: 0.0000004729331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2282, 4731, 7178, 9623?\nAnswer: 12066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -190349116 divided by -95174558?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*t - 27*t - 31*t - 25*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -868 or -847?\nAnswer: -847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1928.9595 + 1930. Let b = -0.0405 + j. Sort b, -3, -47 in increasing order.\nAnswer: -47, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -23, 0, 1686, 1\/5 in descending order.\nAnswer: 1686, 3, 1\/5, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.305 to 1 dp.\nAnswer: 49.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124 - 41*h + 87*h - 41 - 275*h - 21.\nAnswer: -229*h - 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*k - 200 = -152*k. Let n be ((-12)\/30)\/(4\/k). Solve 0 = 5*h - 7 + 27, -n*u = 4*h + 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 + 17*r + 20. Let z be f(13). Suppose 0*l + z = 2*l - 4*d, -4*d = -3*l + 1120. Suppose 5*k - 2*k = l. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.99 times -0.3?\nAnswer: -3.897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2965282 is divided by 269525.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -144488, -288977, -433466, -577955, -722444?\n\"Answer: -144489*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55170538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 28 = -3*t + 6*t, 0 = -5*h + 2*t + 12. Suppose -5*b + 24 = h. Suppose -l - 12 = -2*l + 5*g, b = l + 3*g. Round l to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-20) + 3\/15. Let j = -16 + 191\/12. Let l = 1.3 + -0.3. Which is the closest to 0.1? (a) l (b) j (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1\/6, 2\/17, 16?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 11 + 9 = 0. Let d be (-188)\/(-46) + (-4)\/46. Suppose 0 = 2*w - d, 4*r - b*w = 45 + 53. Solve -3*j = -3*p - j + 15, -5*j = -4*p + r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164488, -164056, -163624, -163192, -162760?\nAnswer: -162328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 60*i - 1353. Calculate the remainder when 729 is divided by p(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2501 and -33560.\nAnswer: -83933560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/7)\/(1\/2)*156*1841\/492336?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 4*f - 2*k - 12, 2*f - 3*k + 2 = 0. Suppose -g = -x + 23, -2*g = -3 + f. Suppose -2*r + x + 0 = 0. Solve 5 = -2*n + 5*j - 2*j, 4*n = -j + r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**2 + z**2 - z**2 + 0*z**2 + z**2 + 2*z**2 + (2*z + 4*z - 4*z)*(-2*z + 0*z + z) + 2*z**2 - 4*z**2 - 8*z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3875*q**2\/2 + 5*q\/2.\nAnswer: 5*q*(775*q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, e: 2, n: 2, o: 1, w: 1}. What is prob of picking 1 o, 2 e, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Let y = 1917.6 - 1912. Let z = b - y. What is z rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 1017.\nAnswer: -203.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 116.500324 + -116.5. Round d to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 0*u - 7\/24*u**4 - 2\/3*u**3 - 1\/60*u**5 - 5\/2*u**2 - 6. Let h(w) be the second derivative of j(w). Calculate h(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -36*a**3 - 3*a**2 - 16. Let q(f) = -36*f**3 - 2*f**2 - 15. Let m(r) = 4*q(r) - 3*u(r). Find the third derivative of m(k) wrt k.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/298900 and 137\/170800.\nAnswer: 1195600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -321 - -318 - (0 + 21\/11) and -45\/44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14.8 from -185640794.5.\nAnswer: -185640779.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -9*o - 118. Let w(l) = -o - 5*l + 64 + 30. Let m be w(-5). Solve -a + m = -1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 21. Let a be 2 + (-3 + z)*-798. Suppose -a - 958 = -6*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**3 - 4685067*j**2*z - 2*j**2 + 36795905*z wrt j?\nAnswer: -3*j**2 - 9370134*j*z - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 5*f - 29. Let y be v(5). Suppose 0 = y*t - 16*t - 295. Suppose 0 = 10*o - 269 + t. Calculate the least common multiple of o and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 - 97 - 2*t**2 - t**2.\nAnswer: -4*t**2 - 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*v**3 - 10*v**2 - 213.\nAnswer: -45*v**2 - 20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 6 = -3*m. Let r(u) = 2*u - 2*u + 4*u + m. Is r(5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/3800)\/(-8*24\/(-256)).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -12*t + 69. Calculate the smallest common multiple of s(5) and -2 - 15\/(-1 + -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1039513, 1039512, 1039511?\n\"Answer: -f + 1039514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 16. Let q be l(6). Let z be (70\/(-9))\/q + (-3)\/(-9). Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 6:24 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - 132. Let f = d + 129. Let w = -401\/7 - f. Which is the closest to w? (a) 2 (b) 2\/5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 456 - 428. Calculate the greatest common factor of 98 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -263*q**5\/60 + 959*q**2. Let v(t) = 2*t**2. Determine k(v(x)).\nAnswer: -1052*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 5 = 1. Suppose -3*u + 7*u = 24. Let x be (-3 - 366\/(-120))\/((-1)\/u). Is o bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 13 - 7 + 2*s - 5*s. Let a(b) = -b**2 + b + 1. Let o be a(3). Give n(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sppbhpmpbpbmpp. What is prob of sequence bspp?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixteen fifteenths of a day?\nAnswer: 92160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 - (45 + -46 + 71).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 - -9 - 4\/(12\/(-423)). Suppose 5*w = g + b, 1 = -3*w + 5*g + 95. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -230, 2\/23, 0.1, 94, -0.4, 13 in descending order.\nAnswer: 94, 13, 0.1, 2\/23, -0.4, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -100656 greater than 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 - 2*x + 5 - 2*x + 6 + 3*x to n*x + r + a*x**3 + z*x**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195\/702)\/(3\/(-9))*(-2)\/(-10)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/9 + 41554*y**2\/9 - 83114*y\/9 + 41558\/9.\nAnswer: 2*(y - 1)**2*(y + 20779)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**12))\/(v\/v**40))\/(v**9*v**(-18)\/v) assuming v is positive.\nAnswer: v**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -6 - (-30 - -29)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -29*c**7\/35 - 57*c**3\/2 - 37*c**2 - 221. Let m(o) be the second derivative of k(o). Differentiate m(n) wrt n.\nAnswer: -696*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 24*v - 7*v + 11*v - 21*v.\nAnswer: -40*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67449?\nAnswer: 3, 22483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 340283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4295*c - 1013. What is j(1)?\nAnswer: 3282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20441 rounded to the nearest one hundred?\nAnswer: -20400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 48*f - 62*f. Suppose -3*h - 6 = 0, -f*b = -2*h - 3*h + 6. Is -6\/19 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5 - 127 = -5*v, v - 3*f = 28. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**5\/2 + 18*w**4 - 20*w**3 - 53*w**2 + 183*w\/2 - 37 = 0. Calculate w.\nAnswer: -37, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 210 - 142. Let n(z) = -167*z - 1433. Let c be n(-9). Does c = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1)\/(3\/(-15)). Suppose -2*x + 52 = 5*p - 0*x, 5*x = s. Solve -2*d + 0*d = -p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14010609*q - 7005294*q - 7005231*q.\nAnswer: 84*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 3*i**2\/2 + 673*i - 22. Let t be (-1)\/(-2) - 2\/4. Is z(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 2286 - 3473 = 0. What is the remainder when b is divided by 52?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -369*h + 4431. Give d(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g + 279. Let m(b) be the second derivative of -b**3\/6 + 55*b**2\/2 + 39*b. Let a(o) = -4*h(o) + 21*m(o). Let n(k) = -k. Determine a(n(t)).\nAnswer: -3*t + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 859 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.039537 litres?\nAnswer: 6039.537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12260 and 144?\nAnswer: 441360","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r - 83 = -333 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214357631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -25262.\nAnswer: -25262, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + x. Let h(c) = 4*c**3 + 4*c**2 - 6*c. Let v(t) = 5*t - 179. Let n be v(37). Determine n*k(a) + h(a).\nAnswer: -2*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2488*w**2 + 2468*w**2 + 4*w + 2 - 4991*w**2 as a + r*w + i*w**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 + -0.8. Let m = -0.3 + -0.2. Let n = m + r. Which is bigger: -0.1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125525112 rounded to the nearest one million?\nAnswer: -126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 9 - 18 = 4 - 1, -2*r = -3*m + 4 - 12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 8 + 10*a**2 - 4*a**2 + 0*a**2 + 5*a**2 + (-2*a + 0*a + 0*a)*(0*a - 3*a + 5*a) + 0*a**2 - 2*a**2 + 0*a**2 + a**2 + 2*a**2 - 6*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -g + 5*h, -5*g - 4*h = h - 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**3 + 1637*c**2\/4 - 963*c\/4 - 2907 = 0?\nAnswer: -19\/8, 3, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + 1. Let o = h + 115. Let k = o - 91. Calculate the least common multiple of k and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4300 divided by 430\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1220 = 5*o, -2*f = f - 4*o - 697. Let w = f + -154. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1172062005.\nAnswer: 3, 5, 78137467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18 - (42 + -4 + -20). Put -66, r, 11 in decreasing order.\nAnswer: 11, r, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 u when three letters picked without replacement from {e: 3, y: 1, u: 10, a: 1, k: 1, w: 2}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 2)\/(1\/2). Let x be 1\/(v + (-124)\/64). Let p be 3 + (-1 - -2) + x. What is the greatest common factor of 20 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*j = -1670 + 158 - 1008 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 times -8.2?\nAnswer: 344.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113 - -60. Let g = -32 - q. Let k be g - ((-2 - -3 - -3) + -1). Is k <= 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -0.57, -0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1652885062.\nAnswer: 2, 5197, 159023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.15*-269109\nAnswer: -40366.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54\/(-10) + 5 + 314\/10 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzggzzzzzzzzg. Give prob of picking 2 g.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(120)\/sqrt(5))\/sqrt(12) + (sqrt(1200) + sqrt(1200)*1)\/sqrt(6) + 3)**2.\nAnswer: 102*sqrt(2) + 587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**2 - 2108*y\/5 - 26559\/5 = 0.\nAnswer: -2043\/5, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.6 - 0.6. Let s = 345491304 + -345491289.9999987. Let y = s - f. Round y to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7004 and 5768.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21443*m**2 - 43*m + 18485840 wrt m?\nAnswer: 42886*m - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 63, 79, 95, 111?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4664 times -2528?\nAnswer: -11790592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3458978*t**2 + 5046487?\nAnswer: -6917956*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37 and 6?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7413*s**3*y - 148*s*y**2 + 2*y**2 - 18*y - 86020 with respect to s.\nAnswer: -22239*s**2*y - 148*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from ssddddddssdoddsdd.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/20 and -115\/956448.\nAnswer: 4782240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y + 8*y + 5*y**2)*(35 - 23*y - 35) + 3*y**3 - 5*y**3 + 3*y**3.\nAnswer: -114*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3717, 7460, 11235, 15042, 18881?\nAnswer: 22752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 56*t + 28. Let r = -5 - -8. List the prime factors of c(r).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1448 - 790. Suppose -4*i = a + 38. Let g = -88 - i. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -16. Let m = -38.8 + x. Let w(t) = t**3 - 7*t**2 + 5*t + 11. Let l be w(6). What is the third biggest value in m, -0.3, l, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -278 divided by 134910\nAnswer: -139\/67455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - z - 90 = 0, 233*o + 3*z = 234*o + 29 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254800 = 1764*a - 13968*a - 7396*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3327, -6670, -10003, -13326, -16639, -19942, -23235?\nAnswer: -26518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8495148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*a + 11871797 + 85830883 = -82464946. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/2015, -3, 19?\nAnswer: -2\/2015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0.2, -2, -5, 158, 4, 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j**(-2\/5)\/j))\/j**(1\/8))**(-26))**(-2\/183))**37 assuming j is positive.\nAnswer: j**(43771\/1830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1413*p + 62086 = -265*p for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 26, 4 in ascending order.\nAnswer: -3, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 60\/14 + 121\/(-11) + 7. Let p = -1.5 + 2. What is the second biggest value in p, 6, 5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.72849 - 7.82849. Let o be (4\/(-10))\/((-3)\/(-5)). What is the nearest to m in -5, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a milligram in micrograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/4*(-1)\/16?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5 - 19. Let l = -4 + w. Calculate the remainder when 23 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p - 12. What is the first derivative of t**3 + 3 - t**3 - t**3 - 2*t**p wrt t?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79830 and 1080.\nAnswer: 957960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -31. Let q = -9 + 14. Let j = -2 + 1.5. Which is the third smallest value? (a) q (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eev when three letters picked without replacement from {v: 18, e: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 8*k**2. Let l be (3 - -1)*105\/(-20). Let c be 6\/(-21) - 300\/l. Let z(i) = -31*i + c*i + 15*i. What is z(r(d))?\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x + 13*x - 4*x**3 - 13*x + (-4*x**2 + 3*x**2 + 3*x**2)*(2*x - x + 0*x).\nAnswer: -2*x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5549300 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 4*d**2 + 3*d + 2. Let u be w(-2). Suppose 10 = u*s - 18. Suppose 2*y - 80 = 4*n, 3*n + s + 5 = 0. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (1\/1 + 1\/(78\/222)). Which is the closest to -1\/4? (a) -2 (b) 17 (c) -3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1224) + (sqrt(1224)*-2 - sqrt(1224))))\/(3*5*-2*sqrt(2)) + 5.\nAnswer: 5 + 12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 93.1606 millilitres?\nAnswer: 0.0931606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*16\/104*13. Let y(u) be the second derivative of u**4\/3 + u**3\/3 - u**2\/2 + 5*u. Let c be y(t). Solve s + s + c*h = -8, -4*s = -5*h + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 divided by 1.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 2. Let r be p(2). Calculate the remainder when 27 is divided by 9\/6*40\/r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52919 is divided by 337.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 15*r**2 + 28*r. Give l(4).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kykkkkkkkkkk. Give prob of picking 2 k.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(3))**2 + -5 + sqrt(18)\/(sqrt(81)\/sqrt(9)) + 4.\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**3 - 66068*g**2\/3 - 176116*g\/3 - 110060\/3 = 0.\nAnswer: -5503, -5\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 + 137. Suppose 36 + 44 = v*h. Solve h*n + 20 - 5 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 4030?\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4769 and 16216357?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -10983.73 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 2, -0.5.\nAnswer: -0.5, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8411 is divided by 2518?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*1817\nAnswer: 1998.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o**4\/4 + 6927*o**3\/4 + 5415*o**2\/2 - 9392*o - 5928 = 0. Calculate o.\nAnswer: -988, -3, -4\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -9) + (34 - 5 - (8 + -7 + 0))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**3*k - 16*b**3*q + 40*b**2*k*q + 8*q + 2 wrt k?\nAnswer: 3*b**3 + 40*b**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2 = 2*j, 0 = -5*s + 2*j + 3 + 3. Suppose 75 = w + s*w. Solve -5*m = 3*n + 24, -3*m - 5*n = w - 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-876))\/((-260)\/(-780))*4\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 72 = 2*a + 62, 90 = -15*a - 5*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9 + 3534 + (-8 - -2)*(3 - 2). What is the highest common factor of 18 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 14) to base 6\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 = -8. Suppose 3*t + 29 = c*y + 9, 2*y - 8 = t. Solve -y*j + 16 = -5*d, 0 = -0*j + 5*j - 3*d - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 1812376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + x**2 + 6*x - 8. Let b be u(6). Which is greater: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 1260?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66.2 - 66. Let n = 0.03 + -0.02. Let j = 0.99 + n. What is the nearest to 1\/9 in y, -4, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1090576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 50*(-5)\/(-65) + 52\/338. Solve -25 = q*j + 3*c + 2, -c + 10 = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (73\/(32266\/(-68)))\/(3\/(-13)). What is the nearest to -0.02 in w, 2, -1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 l, and 1 w when four letters picked without replacement from {m: 1, w: 1, b: 2, l: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 94\/6 + 2\/6. Let m = 28 - b. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 14 (b) 3 (c) -6\/1493\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 10:17 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 5\/146, -258, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {a: 6, f: 2, o: 8, e: 3}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1431 = -23*f + 616. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 15*z**2 + 5*z. Let d(h) = 7*h**2 + 9*h - 3. Let y(x) = -2*x**2 - 3*x + 1. Let l(n) = 2*d(n) + 6*y(n). Calculate l(p(c)).\nAnswer: 450*c**4 + 300*c**3 + 50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**14*p)\/(p\/(p*(p**(5\/3)*p)\/p)) assuming p is positive.\nAnswer: p**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 13*g - 9. Let n be q(12). Suppose -55*x - n = -58*x. Let h = x + -6. Round h to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 772511779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18623997 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1406939749.\nAnswer: 53, 1607, 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 + -43. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (484\/(-33))\/(-11)*24?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -454*-3\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*g + 1204396 = 6544390, p - g = 1780003. Let b be (p\/(-6))\/(23\/483). Round b to the nearest one hundred thousand.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -50*q + 31 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 95, 92, 95, 104?\n\"Answer: 3*s**2 - 12*s + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 - 1. Suppose -4*d + 7*d = -27. Let j be 31\/18 - d\/(-6). Which is the closest to 2? (a) q (b) 8 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 + 33*z**2 + 16*z + 4. Give p(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28204824.6 rounded to the nearest 100000?\nAnswer: -28200000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 670538893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 52090826 = -5*c, 4*o = -4*c + c - 52090830. Let u = 34922709 + o. Suppose 3*k - u = 5*r, r + 14600000 = 2*k + 4*r. Round k to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k**2 - 62*k + 525. What is i(-20)?\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3485510467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6 - -2. Let x = -34 - -17. Let d = x + 12. What is the closest to 1 in 0, d, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = q - 24, -384*y + 8*q = -379*y + 186 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 - -67. Suppose -t*j = 3*h + 15, -h = -3*j - j. Sort 4, -5, j in descending order.\nAnswer: 4, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 14 - (-1 + 4 + -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39, -38, -173, -372, -641, -986, -1413, -1928?\n\"Answer: -r**3 - 23*r**2 - r + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 34. Let a be c(7). Solve 3*n - 2*i - 14 = 0, -3*i - a + 5 = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1166244437 and 339.\nAnswer: -1166244098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 9*o**2 + 9*o - 8. Suppose -4*c + 30 = -c. Let k be 126\/15 - 4\/c. Let d be i(k). Sort 3, 4, d in increasing order.\nAnswer: d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5 - -0.5. Which is the nearest to 0.1? (a) 0.5 (b) i (c) -1 (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 114999*k - 4. Let p be d(-4). What is p rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -715 + 717. Let d(q) be the second derivative of 0*q**s + 1\/18*q**4 - 2\/9*q**3 - 1\/45*q**6 + 0 - 9*q + 1\/15*q**5. Factor d(i).\nAnswer: -2*i*(i - 2)*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -8 - 28. Let x be 8\/c + (-38)\/(-3). Differentiate -22 + x*k**4 + 16 + 0*k**4 with respect to k.\nAnswer: 48*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g*j + 177546654*g*l - 103899423*j*l wrt g?\nAnswer: -2*j + 177546654*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -87 times -8\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 6134 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1309 and 748?\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.3 and 16.7.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 20, 0 = o - 4*n - 0*n + 12. Let t = o - 5. Let c = -72.9 - -86.9. Is c at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a millisecond in microseconds?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -26*d + 9. Let j be t(-4). Let q = -163 + j. Let y = 34 + q. Are y and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**3 + 8*s + 5. Let h(p) = p**3 + 6 - 2 - 8 - 5*p. Let c(y) = y**3 - 9*y - 8. Let i(b) = 2*c(b) - 5*h(b). Determine 5*i(d) - 4*l(d).\nAnswer: d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5064*m - 5062*m. Solve 4*u - m*s - 4 + 7 = 0, 4*u + 4 = 4*s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21829120 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3235610 (base 7) to base 6.\nAnswer: -12252152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1428 + 2855\/2. Is n greater than -745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798 > 316814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(308) + sqrt(308) + sqrt(308))\/(sqrt(448)*-2)*4.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5100*m. Let a(d) = -2*d**2. Calculate x(a(b)).\nAnswer: 10200*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-72)\/(-10))\/3 + 2\/(-5). Suppose f = 4*u - 12, 2*f - 6 = -t*u + f. Let n(q) = -6*q**2 + 3*q**2 - 7*q**u - q + 20*q**3 + q**2. Give n(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 1. Suppose 2*s = 57*r - 58*r + 13, -r - 23 = -4*s. Let y(f) = -5*f**2 + 8*f + 6. Give s*a(z) - y(z).\nAnswer: -z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2\/5 (b) -0.5 (c) -10 (d) -30515\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -11. Is -2 + 80 + r - 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28*28\/294*1*45\/(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 17 = -2*j. Suppose 0*v - j = -2*r - 3*v, -5*v = 3*r - 16. What is the third derivative of -6*c**4 + 19*c**4 + 6*c**4 - 2*c**r - 14*c**2 wrt c?\nAnswer: 456*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -12. Let d(h) = -t*h + 30*h - 15*h. Let m(b) = -6*b. Give m(d(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 16007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*q**3 - 2\/5*q + 2\/5*q**2 - 2\/5.\nAnswer: 2*(q - 1)*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14232418, -28464839, -42697260?\nAnswer: -56929681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 9*a - 2134855 - 11*a + a + 2134855.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38475 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5968 - 5966. Let z(p) be the second derivative of 18*p + 0 + 5\/2*p**b - 5\/12*p**4 + 1\/20*p**5 + 1\/2*p**3. Determine z(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 214*q**2 - 431*q - 216.\nAnswer: (q - 216)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10764952 = -38*l - 40*l - 10*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/3 - (4 + -7)\/(-3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 53*u + 7*u**2 + 4*u**2 - 379*u.\nAnswer: 6*u**2 - 326*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -189\/284 - 6\/71. Which is the second smallest value? (a) -2 (b) 4\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24880, -24815, -24750, -24685, -24620?\nAnswer: -24555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 3:32 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-62)\/(-14105))\/(1\/5))\/((-27)\/63)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -79*f**2 - 11*f - 8. Let j(z) = 26*z**2 + 4*z + 3. Let y(l) = -11*j(l) - 4*t(l). Let g(h) = 10*h**2. Determine y(g(v)).\nAnswer: 3000*v**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 924697, 924692, 924685, 924676, 924665, 924652?\nAnswer: 924637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -709*s - 42551. Calculate d(-60).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1660 + -1460. Calculate the highest common divisor of 65 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t**3 - 3. Let c be f(-2). What is the highest common factor of 50 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156743 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 435*w**2\/2 - 1867893*w\/4 + 6441\/4 = 0.\nAnswer: 1\/290, 2147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -655519*d + 1966542. Determine h(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 509 from 610.11.\nAnswer: 101.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 524920, 1049839, 1574758, 2099677?\n\"Answer: 524919*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 85*l - 2. Let n(r) = -r. Let q(d) = 2*d. Let g(t) = -7*n(t) - 4*q(t). Give g(u(i)).\nAnswer: -85*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p**2 - 3*p**3 + 4*p**3 - 3*p**2)*(8 - 8 - 4*p**2).\nAnswer: -4*p**5 - 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*c - 5*a - 4, -3*c - 5*a = -6. Let k = 2 - c. Put k, -8, -2 in increasing order.\nAnswer: -8, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -819, -1312, -2653, -5268, -9583, -16024, -25017?\n\"Answer: -71*h**3 + 2*h**2 - 2*h - 748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 82*b**3 + 3*b - 2446 wrt b?\nAnswer: 246*b**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/5 + 697*z**2\/5 - 106064*z\/5 + 413168\/5.\nAnswer: -(z - 476)*(z - 217)*(z - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58912*h**6 + 6*h**4 + h**3 + 124*h**2 + 29759*h?\nAnswer: -7069440*h**3 + 144*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -134*a**4 + 1088*a - 1088*a + (a**2 + 3*a**2 - 2*a**2)*(16*a**2 - 11*a**2 + 9*a**2).\nAnswer: -106*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czzszqztccszzzzzfzq. What is prob of picking 2 s and 1 f?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*h**2 + 156*h**2 + 157*h**2 - 41*h.\nAnswer: h**2 - 41*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 258 and 265826.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 7:09 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3\/22, 0.15, -0.5 in ascending order.\nAnswer: -0.5, -3\/22, 0.15, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6\/7 (b) -2\/7 (c) -0.4 (d) -1166 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)*m**(-3\/7)*m*m**1*m\/((m**(1\/4)*m)\/m))**(1\/32) assuming m is positive.\nAnswer: m**(-47\/896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, -0.1, 0.1 in descending order.\nAnswer: 0.1, -0.1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -936\/10507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2. Let g = 618 - 615. Let m(z) be the first derivative of -1\/3*z**g + 0*z + 0*z**2 - 1. What is m(i(k))?\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13275342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248 and 10819.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*v = -27, 20*v = 19*v + 4. Let q(m) = m + 1. Let p(x) = 2*x + 2. Calculate h*q(l) + 4*p(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 328997256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 821293 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13034918 + 13034918.12647579. Let b = 80.12690579 - w. Let u = b + -80. What is u rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpiqiiiiqiieippe. Give prob of sequence eq.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50*(-176)\/(-1100)*(4\/(-2))\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -61*y**7\/70 + y**6\/120 + 2027*y**3\/6 + 2412*y**2. Find the first derivative of b(o) wrt o.\nAnswer: -732*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n - a = -8, 0 = 2*a - 4. Suppose 17*f - 14*f = 5*y - 17, -5*y + f + 19 = 0. Solve 3*l + n = 0, y*l = -5*q + q - 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 12 + 9*s + 0*s)*(2 - s - 2)*(19 - 63 + 9).\nAnswer: 315*s**2 - 70*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times 13750.7\nAnswer: 1237.563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2377 - 2385. Are v and -8 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {b: 2, v: 1, f: 1, a: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 218688.\nAnswer: 218688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 37087*u + 37083*u + 4 = 0, 3*m = 3*u + 21 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42? (a) 0.08 (b) 1\/3 (c) 0.1 (d) -1\/3 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 5, 0.5, -14, -4, 8, -25.61?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*v + 6 = 0, -4*b + 3*v - 2 = 2*v. Suppose 4*f - 6 - 2 = b. What is the second derivative of 0*p**f - 5*p**3 + 16*p + 0*p**2 - 13*p wrt p?\nAnswer: -30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-35*39\/(-364))\/(6\/8). Solve k + 23 = -4*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -7*j + 27 + 148 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - d**2 - 2*d - 1. Let f be r(-1). What is the first derivative of 12*p**2 - 5*p**2 - 8*p**f - 3 wrt p?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -22, -41, -78, -139, -230, -357?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(-5) - (-34)\/(-85). Let k(y) = -y - 1. Let j be k(a). Suppose h = -4*h + 40. Put j, 0, h in increasing order.\nAnswer: j, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - -221. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*j - 11 = 7*j, 0 = 2*l - j - 10. Suppose 6*f = 7*f - l*c - 86, -5*f - 2*c = -464. What is the highest common divisor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and 239.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29.2 - -6.8. Let w = 38.7 - r. Let y = 3 - w. Is -1 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 3. Suppose 0 = 4*t - t + 12. What is the remainder when 2 is divided by a(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7736.46 weeks in nanoseconds?\nAnswer: 4679011008000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 12:30 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 16*z + 12 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 988*y - 10553 - 5255 = 0 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c + 11?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -6. Suppose 93 = -9*s + w*s. Is s a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73564.7 weeks to seconds.\nAnswer: 44491930560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1402 is divided by 107.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 322646479 to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 54 + j**3 + 0*j**5 + 0*j**6 - 27\/7*j**7 + 0*j**4 + 0*j + j**2. Find the third derivative of o(d) wrt d.\nAnswer: -3240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 15*l - 36. Calculate v(16).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 9*v**3 - 17*v**2 - 3. Let d(g) = 134*g + 1068. Let b be d(-8). Let k(l) = 3*l**3 - 6*l**2 - 1. Calculate b*r(j) + 11*k(j).\nAnswer: -3*j**3 + 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4602*s**3 + 278588*s - 278588*s - 3.\nAnswer: 4602*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44421047.\nAnswer: 11, 31, 130267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129227 is divided by 328?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 12:20 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 12*y - 605 = -13*y + 30*y, 2*a - 276 + 867 = -5*y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 507.1638 rounded to the nearest ten?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30180?\nAnswer: 2, 3, 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 412415 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (7 - 2) + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 16 = -15*f. What is the least common multiple of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.1, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -31. Suppose m*z - 10 = 0, -2*v - v - 3*z = -27. Suppose 11 = 5*i + 3*s - 4, -v*s = i - 20. Which is greater: 15\/7 or i?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 32 = -w, -4*r - 182 = 2*w - 7*w. Let b(x) = -w - 7*x + 38. Let j(z) = -z. Let q(h) = 6*h. Let c(u) = 3*j(u) + q(u). Calculate b(c(p)).\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 57*y**2 - 4413*y + 1359. Determine c(-44).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -134346.52 rounded to the nearest ten?\nAnswer: -134350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 8*i**2 + 11*i. Let r(k) = 34*k**2 + 41*k. Let l(b) = -9*o(b) + 2*r(b). Let p(q) = -5*q**2. Determine l(p(w)).\nAnswer: -100*w**4 + 85*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 58368*x**2 - 700948*x + 642576.\nAnswer: 4*(x - 11)*(x - 1)*(x + 14604)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 1 + -2 + -1 + -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7)*x\/(x\/x**8))\/(x**(2\/9)\/(x*x*x**(-2\/11))))**(-14) assuming x is positive.\nAnswer: x**(-12904\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 612 - 329. List the prime factors of h.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-1)\/1 + 20\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0927498 to 4 decimal places.\nAnswer: -0.0927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133 + 2 = 16*y - 57 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -8, -2, -0.04, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-10)*-89 - 9) + (-221)\/(-910).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 4*g**2 - 4*g + 2. Let j be a(5). Let n(z) = z**3 - z**2 + 2*z + 1. Let l be n(2). Let u = -6 + l. Solve -u*v - j = 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -50. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4096 + 4096 + 2*x + 0*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egeegegeeeggegegegge. What is prob of picking 1 e and 1 g?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1248 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78285 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45722.55343 - -2.271.\nAnswer: -45720.28243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 123407*f**2*l*o**3 - 16*f**2*l - 2*f**2*o + 2*f**2 - f*l*o**3 - 10409*f*l*o**2 - 99*o**3 + 8*o**2 wrt f.\nAnswer: 246814*l*o**3 - 32*l - 4*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**0\/(q*q\/(q*q**(-1\/6))*q**(1\/3)\/q)*q*q**5*q**(-3\/2)*(q**(-2\/3))**(-2) assuming q is positive.\nAnswer: q**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 159 = -4*d + 97, -323 = -5*d + 3*w. Suppose 69*j - d*j - 48 = 0. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 + 12*d**2 - 11*d - 65. Calculate m(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 5*y + 4*b - 1, 0 = -5*b - 25. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*k - 18. Let q(a) = -a**3 + 5*a**2 + 3*a - 3. Calculate q(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 12:21 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2*9\/90)\/(6\/(-15))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 82*f - 937*f - 1435*f + 326*f in the form j*f + c and give j.\nAnswer: -2128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/3 + 2564*u**2\/3 - 961282*u\/3 + 85229824\/3.\nAnswer: -2*(u - 577)**2*(u - 128)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19\/105 - 2\/105. Let h = 0.7 + -1.9. Let k = 0.7 + h. What is the biggest value in -4, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 h when two letters picked without replacement from ccurh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 2*d + 3. Let q be m(-2). Let u(r) = -r - 7. Let v be u(q). Let w = v - -14. What is the highest common divisor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34369 divided by 3\nAnswer: -34369\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5866716665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 j, and 1 z when four letters picked without replacement from {d: 1, u: 2, z: 1, j: 2, p: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(110)\/(sqrt(22)\/sqrt(2)))\/((sqrt(2) + sqrt(8)\/sqrt(4))*-6) + (sqrt(320) + (sqrt(150)\/sqrt(3))\/sqrt(10))*-1.\nAnswer: -109*sqrt(5)\/12 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**3 + 7*z**2 + 7*z - 7. Let y(j) be the first derivative of -j**4\/4 - j**3 - 3*j**2\/2 + 3*j - 9. Determine 3*v(o) + 7*y(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/76)\/(18\/(-9)). Factor -2\/5*q**3 - 2\/5*q**2 + 0*q + i.\nAnswer: -2*q**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13380000 to the nearest one hundred thousand.\nAnswer: 13400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 23664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2468, 2336, 2116, 1808, 1412?\nAnswer: 928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*b - 2*b - 2*b)*(-3 + 1 + 0) + (3 + 0 - 2)*(-18 - 12*b + 18))*(59*b - 59*b - 18*b**2)*(11 + 20 - 2).\nAnswer: 4176*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 8980?\nAnswer: 71840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**5 - 1. Let m(g) = 10*g**5 - g**3 - 39*g**2 - 1. Let d(w) = m(w) - r(w). What is the third derivative of d(z) wrt z?\nAnswer: 660*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**5\/20 + j**2. Let n(m) = 7*m**2 + 7 - 7 - 5*m**2. What is n(a(f))?\nAnswer: 18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 divided by 69?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 23*b**2 + 3*b - 34. Calculate the remainder when 226 is divided by m(23).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rfff. What is prob of sequence fffr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -6. Let y = i + -8. Suppose -9*x = -20*x + 451. Solve 4*h - x = -5*k, -1 = k - y*h + 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + 3*sqrt(13)) + (sqrt(117) + (sqrt(117) - (sqrt(117)*-3 - sqrt(117) - sqrt(117))*3))\/sqrt(9).\nAnswer: 3 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12924 - 12923. Which is the fourth smallest value? (a) 27 (b) 2 (c) 5 (d) n (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + s**3)*(-5*s**2 + 3*s**2 + 0*s**2) - s**5 + 0*s**5 + 2*s**5 + (-2*s**4 + 4*s**2 - 4*s**2)*(0*s - 2*s + 0*s).\nAnswer: 3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 1887*u - 108. Let n(k) = -5662*k + 297. What is 4*n(l) + 11*t(l)?\nAnswer: -1891*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -200515, -400732, -600649, -800266, -999583?\n\"Answer: 150*i**2 - 200667*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15929055.\nAnswer: 3, 5, 37, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 12*a - 23. Let b be t(-14). Let y be 1\/((-2)\/(-12)) + -1. Suppose y*z = 2*k + 21, b*z + 0*k = -5*k + 35. Solve -p + z = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50182 is divided by 204.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b + 195. What is v(10)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2179, 1722, 1279, 856, 459?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**5 + 0*y**3 + 0*y**3 + (-4*y + y**2 + 4*y)*(y**3 + y**3 - y**3) + 262*y**5 - 168*y**5 + 205*y**5.\nAnswer: 298*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)*c)**(1\/13)\/(c**(-1\/5)\/c*c**(8\/9)) assuming c is positive.\nAnswer: c**(14\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u - 5*u + 0*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + (1*(sqrt(70) + (sqrt(70) - sqrt(70)*2) + sqrt(70)) + sqrt(70) - sqrt(70)) + sqrt(70))\/(sqrt(70)\/(sqrt(7)*1)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 - 8*g**2 - 3. Determine b(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/2, 444, -0.754, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 31 - 11. Suppose 12 = b*j + 5*y - 17, -2 = -2*y. What is the smallest common multiple of 2 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39268 - 34564 = -49*p for p.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396342?\nAnswer: 2, 3, 97, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28494*q**3*y + 88*y + 84 wrt q.\nAnswer: 85482*q**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7932362.\nAnswer: 2, 683, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 620, 1236, 1848, 2456?\n\"Answer: -2*b**2 + 622*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**3\/7 + 52*k**2\/7 + 160*k\/7 + 144\/7 = 0.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -755701 (base 8) in base 7?\nAnswer: -2102134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -11922 and -11203 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33 and 147028559451.\nAnswer: 147028559484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*c + 2414 = 59*c. Calculate the greatest common divisor of c and 4402.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9335671 + -0.0664329. Let m = -0.2 - 0.8. Which is the third smallest value? (a) j (b) 0.07 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(150) - (sqrt(150) + (sqrt(150) - sqrt(150)*-1)) - sqrt(150))\/(-2*sqrt(2)*1).\nAnswer: -5 + 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7285573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95010 is divided by 47499.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -820 - 1060 = -8*u. Calculate the remainder when 337 is divided by u.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134708 is divided by 134508?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000118597053 rounded to 6 dps?\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3. Let g(i) = -2*i**2 - 2*i. Calculate g(n) + 3*w(n).\nAnswer: 3*n**3 - 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -4*x + 11\/2*x**4 + 22\/3*x**3 + 6\/5*x**5 + x**2 + 2. Factor z(b).\nAnswer: 2*(b + 1)**2*(b + 2)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 22 = -3*v, 26 = -11*p + 7*p + 5*v. Let g be (2 + 4 + p)*(-1)\/(-2). Solve -n + 11 = -4*d, -3*d + 4*d = 2*n - g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114979 to the power of 1\/2, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - b - 50, 2*b + 4 = -g - 21. Let m = 8 - 2. Let n be (g\/((-360)\/(-16)))\/((-1)\/m). Solve 3*d + 2 = n*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227577 to the power of 1\/2, to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/2 - (-229177)\/34 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 12:31 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-1) - (-14 + 10). List the prime factors of 3*(368\/k + 0).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 12:03 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*v + 138. Let j = v - 34. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 8 = -2*z + 7, 4*z = 3*q + 9. What is the second biggest value in 5, q, -2\/91?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -886, -1624, -2306, -2932, -3502?\n\"Answer: 28*g**2 - 822*g - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x - 13. Calculate d(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 25*w**4 - 8*w**3 + 7*w - 38. Let z(i) = i**4 - i**3 + i - 3. Let t(f) = h(f) - 4*z(f). What is the second derivative of t(s) wrt s?\nAnswer: 252*s**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 9 + 0)*(t - 4*t + 5*t) + 0*t + 0*t + 2*t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p**4 - 275422*p**3 - 3913930*p**2 - 7001666*p - 3363140 = 0.\nAnswer: -15287, -110\/9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 392984109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-24)*(-3)\/55*7\/((-35)\/20)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1786826 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 - r. Let a be f(-1). Let o = a - -2. Solve 23 = o*n + d, 1 = n + 3*d - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 100 + a + 111 + 441 - 2*a**2 - a**3 as t + k*a**3 + u*a + r*a**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -3)\/((-1)\/(-53)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-11 - 569)\/(-20)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04733871 rounded to 3 decimal places?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -129*b**9\/56 + 311*b**5\/60 - b**3\/6 - 1090*b**2. Find the third derivative of h(f) wrt f.\nAnswer: -139320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1269+-0.408376593342\nAnswer: 1268.591623406658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 23*u + 5. What is h(-4)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + x - 3. Let v be 2*(50\/(-110))\/(-5) + (-40)\/(-22). Let f(r) = 10*r**2 + 5*r - 16. Determine v*f(q) - 11*s(q).\nAnswer: -2*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.568 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.64023 and -2.\nAnswer: 35.28046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -73*b**2 - 13*b - 8. Let n(z) = 72*z**2 + 12*z + 9. Let d(u) = -7*a(u) - 6*n(u). Let h be d(13). What is h rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 286139113?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.4511.\nAnswer: -0.04511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -38*v - 9. Let p be w(-2). Let y = p + -37. Suppose -3*j + 8*j = y. Solve 3*u - 6 = j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knpqpnqynkknkn. What is prob of sequence qk?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*r - 9. Let q(j) = -3*j**3 - 2*j - 2. What is q(r)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 94, -318, -5, -1 in descending order.\nAnswer: 94, 26, -1, -5, -318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16656*y - 24438680 + 345736*y**2 + 7099784 - 345740*y**2.\nAnswer: -4*(y - 2082)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6482 - -13165. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*g + 43*g + 36 = 0 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -0.01, 33, 1.\nAnswer: -1, -0.01, 1, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = 0, 0 = 4*y - 7*y - 3*q + 258. What is the remainder when 1386 is divided by y?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53783*z + 53940*z + 3*z**2 - 107723*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 f when three letters picked without replacement from forofroo.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 83517015.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -15. Suppose 0*w + 16 = r*w. Solve -4*n = w*c, -3*n = 4*c - 5 - 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**4 + 392*z**3 + 7972*z**2 - 16040*z - 165600 = 0.\nAnswer: -18, -4, 5, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 42. Let g be p(40). Solve s = 4*w - s - 14, -3*w - g*s = 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 5*f + g - 109, 4*g = -4. Suppose 17*d = f*d - 25. Suppose -4*u - u + 4*b + 11 = 0, 3*u - 4 = d*b. Solve w = u*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 11*p**2 + 2*p - 1. Let f be 4\/(-10) + 228\/20. List the prime factors of i(f).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 80729626 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 44*d**2 + 457*d - 2586. Calculate h(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6) + (-10240)\/(-6). Let j = -20405\/12 + g. Find the common denominator of j and -8 + 11 + 248\/32.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -308*w**4 - 71581*w**3 + 2*w**2 - w - 5870 wrt w?\nAnswer: -3696*w**2 - 429486*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 2)\/(6\/4). Suppose -4*y + 3*i + 5 = -1, -t*y + 3*i = -6. Suppose 3*b = -4*x + 124 + 309, 2*x + 2*b - 214 = y. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 4*(1486 + -5 - -7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 - 60. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**4\/2 - 5*s**3\/3 - 5*s**2\/2 - 5*s - 9. Let k be t(5). Let w = 165 - k. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - u = -4, p = 6*u - 10*u + 16. Factor r**4 + p*r**2 + 0 + 0*r - 1\/3*r**5 - 2\/3*r**3.\nAnswer: -r**3*(r - 2)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5cb22bc + 15?\nAnswer: -5cb22a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*o + 16*o + 319 + 105 - 5*o to the form r + a*o and give r.\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 0 + 11*l - 6 - 2*l. Suppose -3*i = i - 16. List the prime factors of k(i).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 3*p**2 + 4*p + 13. Give z(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-7) + (-1462)\/(-5236). Put s, -0.1, 4 in descending order.\nAnswer: 4, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 - 3*w**2 - 3*w + 4. Suppose 2*y = -0*y + 4. Suppose y = -3*r - 10. Let k(n) = -2*n**3 - 4*n**2 - 4*n + 5. What is r*x(i) + 3*k(i)?\nAnswer: 2*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 - 8*p**2 + 8*p - 8. Let g be f(-5). Solve 4*z = 5*j + 18 - 5, 0 = g*z + 2*j + 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -18.8. Suppose 5*y + 2*r = -10, 0 = 11*y - 6*y + 4*r. Let s = 6 - 8. Which is the nearest to 1\/3? (a) q (b) y (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 13 + 12, 4*b + 5*n - 13 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3*z - 2 + 10 = 0, 4*m - 5*z - 24 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20550523222 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 745129*j**2*u**2 + 4*j**2*u - 40*j*u**2 + 1115*j*u - 1345*u wrt u.\nAnswer: 1490258*j**2 - 80*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 6 (b) -5 (c) 0.0428 (d) 0.4 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/211 and -17\/11.\nAnswer: 2321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 11, c: 5}. What is prob of sequence ww?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-300)\/(-40))\/((-30)\/(-16)*5\/((-1700)\/34)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2404461 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from gvdggvnvvggvggvnggv?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 979 and 445.\nAnswer: 4895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*f - 434, 5*f = -3*j - 106 + 542. Calculate the remainder when 327 is divided by f.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/977 + 14662\/6839. Suppose f = 2*f + 18. Find the common denominator of ((-4)\/f)\/(4\/(-86)) and z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61 + 58)\/(1 - 2) + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - 15*(-1 + -72). Let j(a) = -549 - a + g - 552. Let m(v) = -3*v. Calculate m(j(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*4\/(-90)*10. Let w = 0.4 + -0.9. Let j = 0.8 + w. Which is the second smallest value? (a) j (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (81\/(-2))\/(2\/(-4)). Let x be -12*(4 + (-95)\/20). What is the highest common factor of w and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.87 times -669.402\nAnswer: 6606.99774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaarraaaaaaaara. What is prob of picking 1 r and 1 a?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02198 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 70 - 2*f - 37 - 30 to k*f + b and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g. Let b(y) = -5*y + 3. Let v(j) = -b(j) + 6*q(j). What is the lowest common multiple of v(-5) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1173 times 0.4\nAnswer: -0.04692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 + -3350?\nAnswer: -3300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 23*h + 206. Let s be j(-12). Put 0, 1, s in increasing order.\nAnswer: s, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7318850466?\nAnswer: 2, 3, 29, 101, 416459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -4\/7, 26 in increasing order.\nAnswer: -4\/7, 3\/2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*(-2 + -6*(-3*sqrt(448) + -4))**2.\nAnswer: -291272 - 12672*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90603 - 34130. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1049.237 + 65403911.\nAnswer: 65404960.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*v - 87*v = -79*v + 24276. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2845, -6746, -10635, -14512, -18377, -22230, -26071?\nAnswer: -29900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4413142044 (base 5) to base 12.\nAnswer: 3225123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 50617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/21)\/(63\/98). Let p = 5.981 - 0.041. Let z = -0.36 - p. Is y at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 10:38 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2)\/i)**(1\/16)\/((i**0*i)\/i*i)**(-23))\/((i**(-5)*i*i)\/(i\/i**2))**(-20\/9) assuming i is positive.\nAnswer: i**(5317\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6935539402?\nAnswer: 2, 11, 17, 43, 53, 79, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2832 divided by -4\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00138286 to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o + 4. Let v(u) = -15*u + 20. Let d = -15 + 17. Let a(p) = d*v(p) - 11*c(p). What is the first derivative of a(x) wrt x?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**4\/2 + 45*f**3\/2 - 258*f**2 + 410*f + 4200 = 0.\nAnswer: -3, 10, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1625067 (b) -1\/5 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 27410 = -5*t, 10955 = 201*t - 199*t - d. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (3 + -6)) + 5 + -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 100\/(-2)*(-79)\/(-395)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3.22, 471, 3.\nAnswer: -3.22, 1, 3, 471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 5*n**4\/72 - 13*n**3\/36 + n**2\/2 + 4*n - 3. Let r(s) = 0. Calculate s.\nAnswer: 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 - -16. Let x = w + -112.00000049. What is x rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, -553, -1276, -1999, -2722, -3445?\nAnswer: -4168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-p**2 + p**2 + p**2)*(5*p + 6*p - 2*p)*(-2 + 2 - 1).\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 14. Let w(l) = 2*l**3 - l**2 + 3*l + 5. Let a(f) = 2790 - 5*f**3 - 1405 + 4*f + 3*f**2 - 12*f - 1399. Determine x*w(z) - 3*a(z).\nAnswer: -z**3 - z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-525)\/10)\/15)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1455 = -17*q + 4631. What is the first derivative of 0*o**2 + 4*o**2 - 321 + q wrt o?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - -13)\/(5\/35). Let n = 127 - r. What is the remainder when 35 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*s - 22 = -6, 4 = -4*s. Suppose 3*a - 76 = a. Calculate the remainder when a is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -75*i**4 - 55?\nAnswer: -300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -119 + 118. What is the third biggest value in b, 4, -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1191*s - 2 = -v + 1193*s, s - 13 = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199554?\nAnswer: 2, 3, 79, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/4 + -1 - (-35)\/(-70). What is the tens digit of 2942\/g - 2 - (-26)\/39?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*u + 985 + 531 = 218 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmkkkkmkhhkskhhhhhkk. What is prob of picking 1 k and 1 s?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45049241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 223088 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -77682462, -77682461, -77682462, -77682465?\n\"Answer: -p**2 + 4*p - 77682465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.058 - 0.058. Let v = -0.1 - 0.1. Let z = -0.05 + -4.95. What is the nearest to -1 in z, v, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqaqqqagarea. What is prob of picking 1 r and 1 q?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*(w**(2\/19)\/w)\/w)))\/w**(-2\/23))\/(w**21*w\/(w*(w**(-15)\/w)\/w*w*w)) assuming w is positive.\nAnswer: w**(-16085\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 749*o. Let f(h) = -2*h. Calculate f(b(j)).\nAnswer: -1498*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 111 - q**2 - 67 - 110 - q - 79 in the form b*q + v*q**2 + m and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 + 10)\/((-2)\/(-16)). Suppose 3*t + 16 + c = 0. What are the prime factors of 499\/7 - t\/(-28)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7584 and 2212?\nAnswer: 53088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a day?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -833 + 814.74. Let l = j - -22.305. Let m = l + -0.045. What is the second smallest value in -0.3, m, 0.5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2602 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 2. Let g be s(2). Let i(l) = l + 6. Calculate i(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*s + 106 - 8 = 0, 4*s = 8. Let p(g) = -171*g + 128. Let v be p(1). Which is smaller: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 10*v + 2. Let z be b(10). Let s(x) = -z*x + 7*x + 66 - 59. Let a(n) = 9*n + 13. Determine 6*a(g) - 11*s(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**7\/2520 - c**6\/360 - c**5\/20 + c**2. Let x(r) be the third derivative of d(r). Let w be -6*((-10)\/15 + 1 + -1). Give x(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y - 10 = 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/21, -3\/10, -22, -3, -2.1, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20874 - 6?\nAnswer: 20867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8295 - -7?\nAnswer: -828c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96378627, -192757234, -289135855, -385514496, -481893163, -578271862?\nAnswer: -674650599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 17*b**2 - 7*b + 9. Calculate q(-16).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 5*l + 2. Let t be o(3). Let f = 3 + t. Let a(u) = -37*u - 2. Let x be a(f). What is the highest common factor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 35*s = 70*s - 40*s - 158, i + 5*s + 152 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 766 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 787491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.19, -70?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00384913 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**4\/2 + 13*s**3\/3 + 5*s**2\/2 + 4*s - 1. Let p be c(-10). Is p\/(-14) + 4\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4\/5 (b) -0.016 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.3, -5\/3, 4\/3, 12, -1\/5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k*r**2 - 48705*k*r + 480493396*k - 469*r**2 wrt r.\nAnswer: -2*k*r - 48705*k - 938*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1463, 5976, 13499, 24032, 37575?\n\"Answer: 1505*j**2 - 2*j - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 - 3 - k**2 - 25)*(-3 + 0 + 4 + (-5 + 7 + 2)*(3 - 5 - 2)).\nAnswer: 15*k**2 + 1140","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10685 and 40?\nAnswer: 85480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/3)\/(3\/12). Suppose 0 = j*u - 32 + 4. Let q be (-7)\/(1*(0 + -1)). What is the highest common factor of u and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/4 - -1)*2. Solve 3*w - i = i + 6, 3*i - 1 = d*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2373 by -2118.\nAnswer: 791\/706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10988*d*z**2 + 2*d*z - 3295*d - 1 wrt z.\nAnswer: 21976*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*u + 84 = -661*u + 338*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67.87 + 0.87. Let b = v + 69. Is b at most -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 5*i - 105, -3*i - 2*i - 85 = -4*r. What is the remainder when 79 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8401588, -16803232, -25204876?\nAnswer: -33606520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-5)*-5 + 32. Suppose -n - 2*n = -q. Solve -5*m - n = 2*l, -5*l - 3*m + 0*m = 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1109 + 585 = 58*w - 568 for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(((-24)\/196)\/3). Suppose r = -6*r + q. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15 - 135\/9)\/2. Let v(g) be the third derivative of d*g + 1\/24*g**4 - 1\/6*g**3 - 18*g**2 + 0. What is v(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 17. Let a = 1 + 2. Let q(j) = j**3 + 3*j**2 - 5*j. Let n(t) = 2*t**2 - 3*t. Let b(v) = a*q(v) + i*n(v). Find the third derivative of b(r) wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4577 - -4617. Put -5, b, 0.04 in ascending order.\nAnswer: -5, 0.04, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*z = 23, 0*v + 2*z = -4*v - 134. Let c = -33 - v. Is 4\/23 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**(1\/14))**(3\/19)*(d**(-1)\/d*d)**9*d*d**(-1\/3)*d*d*d*d\/d**2*d assuming d is positive.\nAnswer: d**(-4265\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1076 is divided by 213?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 8*v**2 + 126*v - 407. Give n(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3237 and -30970.\nAnswer: -10024.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 9)*(3*k - 4*k + 2*k).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*b - 21*b - 1455 + 2033 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96 - -103. Calculate the greatest common divisor of o and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3*(-1)\/(-2))\/(1\/(-2)). What is the third derivative of 32*b**3 - 15*b**2 - 17*b**3 + 12*b**m wrt b?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 3*s**2. Suppose 4*k + 4 = -4. Let t be c(k). Solve 5 = 3*m - 2*m + t*p, -5*m + 25 = 5*p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -4*k - 304. Let n = 81 - k. Solve n*c = -1 + 16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*c - 5976 = -688*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w**2 - 7. Let z(i) be the third derivative of -i**3\/6 + 8*i**2 + 5. Let n(m) = 2*m - 1. Let o(v) = -n(v) + z(v). Give o(k(j)).\nAnswer: 14*j**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(8\/(-6))*28. Suppose 3 - w = 2*x. List the prime factors of ((-30)\/x)\/5*9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2727 and 1573317.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**2 + 4179*f - 62460 = 0?\nAnswer: 15, 4164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 43*t - 3. Let d be h(4). Suppose 9 = -3*f, -4*o - f + d = 4*f. What is the remainder when o is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2221 - -1629. Is x a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18734700373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 435 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43\/3 - -15. Let g = -11 - -14.3. Let v = -3 + g. Which is the closest to -1\/4? (a) r (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(2560) + sqrt(2560) + sqrt(2560) + sqrt(2560)))\/((sqrt(80) - (1*sqrt(80) + sqrt(80) + sqrt(80) - sqrt(80))*5)\/sqrt(10)).\nAnswer: 8*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3523, 7105, 13081, 21451, 32215, 45373, 60925?\n\"Answer: 1197*c**2 - 9*c + 2335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10925778.\nAnswer: 2, 3, 547, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 + 8 = 0. List the prime factors of (-25 + -11)*(-1 - x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -82 (b) -231 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/19208 and 7\/596?\nAnswer: 2861992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457974*h**3 + 0*h + 0*h - 457982*h**3 + 5.\nAnswer: -8*h**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/7, 8603, -0.1, -2 in decreasing order.\nAnswer: 8603, 1\/7, -0.1, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -4, 81, -21.\nAnswer: -21, -4, 37, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -3. Suppose 4*r + 18 = -5*o + 59, -o = 3*r - i. Solve -r*m - 15 = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1756904614, 1756904613, 1756904612?\n\"Answer: -w + 1756904615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.79936 to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 347434 and 14?\nAnswer: 2432038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 27 = -5*w + 2, -3*w + 27 = 3*p. What is the units digit of p\/32 - 327\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22302030 and 24.3.\nAnswer: 22302054.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 34*t**2 + 3*t - 2. Let z be n(1). Suppose -2*x - 5*c = -z, 3*c + 21 = -x + 4*x. Which is bigger: x or 8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((6\/45)\/(-2)). Suppose 10 + r = 5*p. Solve -4 = -p*t + t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**2*o**2 + k**2*o - k**2 - 16*o**2 + 13 wrt o.\nAnswer: -2*k**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/255353322 and -131\/556932.\nAnswer: 510706644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 727570021 a multiple of 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/774 and (-169)\/(-12) + 4 + 190\/(-19).\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111123313 (base 4) to base 11\nAnswer: 5aa68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7285*v**2 - 77680*v**2 + 37539*v**2 - 77330*v**2 + (-4 + 1 + 1)*(0*v + 0*v - 2*v**2) - 2*v**2 - 2 + 2 to w*v**2 + a + d*v and give w.\nAnswer: -124754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 177*m + 1031. Give b(-5).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/((((m**(-9)\/m)\/m)\/m)\/m*m)*m*m))\/(m**(1\/3)*m*m))\/(m**(5\/2))**6 assuming m is positive.\nAnswer: m**(-91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*c - 1 = -75, 5*h - 100 = -4*c. What is h rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 22.41. Let y = j - 4.7411. What is y rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 29\/2, 1, -4, 91?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - sqrt(280)\/(sqrt(8)*1))\/(sqrt(343) + (sqrt(343) - 1*sqrt(343))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 8:17 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290 + 11 = -43*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 11157 = 5*a - i, -5*a - 2*i + 27892 = 0. Let s = -4784 - -14462. Let z = a - s. What is z rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35992*w**3 - 3*w**2 - 2*w**2 - 17996*w**3 + 5*w**2 - 17997*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5849 + -1443. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.179 and -0.001803?\nAnswer: 0.180803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20032 and -1001.42?\nAnswer: 21033.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1194, 2, -3, 4, 3 in descending order.\nAnswer: 7, 4, 3, 2, -3, -1194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/1 - (32 - 33). Suppose -q - 3*q + 16 = 0. Put 0.1, q, g in descending order.\nAnswer: q, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -110298126*k**3 + 817*k**2 + 2*k + 9889.\nAnswer: -661788756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -66*o**2 - 539*o + 9. Give h(-8).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/40*(-5)\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*z - 222 = 0, -b = -3*b - 4*z - 72. Let k = -22 - b. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3981, 15454, 34585, 61386, 95869, 138046, 187929, 245530?\nAnswer: 310861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3 + 4*s**3 + 4*s**3 - 2 wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -760744\/1845 - -3712\/9. What is the common denominator of -31\/13 and t?\nAnswer: 2665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59253 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28.20484 and 1?\nAnswer: 28.20484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44.8 + -45.4. Sort 5\/6, -2\/11, p, -0.04, 3 in descending order.\nAnswer: 3, 5\/6, -0.04, -2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-183 + 31 - 72)*(-6*f**4 - 26 + 26) + (0*f + 0*f - 2*f**4)*(-4 + 2 + 3).\nAnswer: 1342*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (-2 - (-2 - 13)) - -8) + 50.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/36 and 149\/1092.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.05 + -7. Let l = t - 0.06. Let z = l - 1.99. Which is the third biggest value? (a) -4 (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 1\/3*z**2 + 11\/18*z**3 + 1 + 1\/4*z**4 - 4*z. Let l(n) be the first derivative of s(n). Suppose l(m) = 0. Calculate m.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 32\/24 - (-14)\/(-3). What is the units digit of (4984\/70)\/(m\/(-15))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(2375\/38))\/(44\/(-80))?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102101110 + -12?\nAnswer: 102101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 10*u - 5*u + 72, -5*w - 2*u + 89 = 0. Calculate the remainder when 92 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47990861?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 0*u**5 - 18*u - 19\/30*u**6 + 0 - 13\/12*u**4 + 0*u**3 + 0*u**2. Find the third derivative of c(f) wrt f.\nAnswer: -456*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98699\/28 + -3524. Find the common denominator of b and -25\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14924\/(-1271)*1\/4 - 10) + 13.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**4 + 75*f**3 + 95*f**2 - 1275*f - 2250 = 0?\nAnswer: -3, -2, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475 - 479 = -4*v. Let w be ((v - 3) + 9)*12\/21. Find j, given that 0 + 2\/3*j**5 + 8*j**3 + 2*j - w*j**4 - 20\/3*j**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8314048 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = u - 246 + 63, -2*t + 92 = 14*u. Suppose 36 = 2*h + h. What is the remainder when t is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*w, 209*w = 204*w + c. Solve 11*t + 45 + 10 = w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*j - p + 8, 0 = j + 3*p. Let l(k) = -7*k - 194. Let w be l(-3). Let i = 173 + w. Does j = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 112199\/3108 + -1352\/37. Find the common denominator of c and 31\/45.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1443373819595+0.02\nAnswer: -1443373819594.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693225723?\nAnswer: 3, 3607, 64063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74805 - 5535469\/74. Calculate the common denominator of s and 107\/56.\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50209)\/3404)\/(1\/(-4)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6*100 - (-2)\/6. Is c < -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/13)\/x*x*x\/(((x**(-3\/10)\/x)\/x)\/x*x*x))\/((x**(-1\/11)\/x)\/(x\/(x\/x**(-2\/15)))) assuming x is positive.\nAnswer: x**(2663\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 5 + -5 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/15)\/((-1)\/(-5)). Let v(b) = -2*b**2 - 9*b + 4. Let o(n) = n**2 + 4*n - 2. Let s(p) = -9*o(p) - 4*v(p). Let q be s(-2). Which is bigger: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3725176100 to the power of 1\/3, to the nearest integer?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**2 + 14*n + 41. What is the units digit of m(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 10:27 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19369\/5610 + -1\/510. Calculate the common denominator of z and (3 - (-6)\/(-1) - 44440\/(-14135))*1.\nAnswer: 2827","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-480)\/60*(11\/22 - 371\/756)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1601 + -2?\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 8 - 2. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.224 - -17.61925. What is t rounded to three dps?\nAnswer: -0.605","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 2:59 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 70*s**2 + 905*s - 39. Calculate h(53).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13\/7*j + 4\/7 + 2*j**2 - 5\/7*j**3.\nAnswer: -(j - 1)**2*(5*j - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130 + 125 + u**2 - 155 - 100.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 + 13*v**2 + 27*v - 11. Determine q(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*sqrt(7920)*-2)\/((-3*(sqrt(5) + sqrt(405)) - sqrt(5))*-6).\nAnswer: 20*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -156802 + 8781245\/56. Let h = -51\/8 + f. Let t be 2*1 - 1*-3. What is the smallest value in 4, 3, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17909257?\nAnswer: 113, 158489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*y + k + 8 = 60*y, -4*y - 5*k = 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4*-23\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**5 + 30*z**4 + 84*z**3 - 120*z**2 - 288*z = 0. What is z?\nAnswer: -2, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3 + 0*n**2 + 11 - n**2 - 7*n + 0*n**2. Is f(-7) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38545 and 350.\nAnswer: 2698150","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/52736 and -71\/508408?\nAnswer: 32538112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10030220*2\nAnswer: 20060440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/16 in -43, 1, 0, -1672?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1*d)\/(d*d**1\/d*d))**(1\/7) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t**3 + t**2 - 2*t. Let q(w) = -w - 5. Let b be q(-7). Let z be -3*b\/(-4) + 29\/(-58). Calculate the least common multiple of 10 and v(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/((-44)\/(-4)))\/(-16).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2554383?\nAnswer: 3, 13, 65497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4010*m - 2454*m + 1760*m.\nAnswer: -4704*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 8271648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105015 (base 7) to base 9.\nAnswer: -27373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**3 + q**2 - 4*q + 1. Let a be l(-3). Let b = a + -53. Let i be -15*((-7)\/21)\/((-2)\/(-4)). What is the greatest common factor of i and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 16*l**2 + 53*l - 103. What is d(10)?\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*t + t**2 + 6*t + 17*t)*(39 + 43 + 77 + 120 + 2) to g + i*t**2 + h*t and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**5 - 140*p**4 - 1336*p**3 - 4496*p**2 - 6112*p - 2816 = 0.\nAnswer: -22, -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - p + 6. What is the highest common divisor of p and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - 34) + (-3 - (1 - 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**5\/36 + 145*d**4\/18 + 8410*d**3\/9 - 58*d**2 - 41*d + 3. Let f(s) be the first derivative of j(s). Factor f(m).\nAnswer: 5*(m + 58)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 10:21 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/6)\/(n\/(n\/n**(-1\/7))))**5*n**1\/(n\/n**(-1\/3))*(n*n**(2\/7))\/n*n**(1\/7)*n*n assuming n is positive.\nAnswer: n**(83\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 23464369.\nAnswer: -2\/23464369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*i + 571 = 1517. Calculate the remainder when 259 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-15))\/((-4)\/(-60)). Let u be -2 - (5 - -16)\/(-3). Let n be (15\/(-7))\/u + y\/7. Solve 5*j + h + 2 = n, -4*j - 7 = h - 2*h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-4)\/72*-3). Let r = -6220 + 6219. Put 5, r, 2, m in decreasing order.\nAnswer: 5, 2, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 6) + (0 - (-11 - 0))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75960179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buiiujljbijbib. Give prob of picking 1 b and 2 u.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*t, 4*t + 4 = 5*t. Suppose -u*s + 67 = -4*s. Let m = s - 61. Solve -m = -k - k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**6\/120 + 11*v**5\/60 + 7*v**4\/12 + 4*v**3\/3 + v**2. Let c be a(-9). Find the common denominator of 1\/20 and (-6)\/c*61\/3.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/8)\/((-4)\/(-8)). Suppose -3*o - 258 = -7*c + 2*c, -r*o = 3. Calculate the remainder when c is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eefy when four letters picked without replacement from {y: 1, f: 2, h: 2, r: 1, e: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 127122*k - 1525462. Determine n(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ettetjhhemqmmmh. What is prob of picking 1 t, 1 m, and 1 h?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/68 and 55\/48.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -413 + 7845\/19. Suppose 5*g + d - 3*d = 0, -3*g = -2*d + 4. Suppose -g = 5*w - 7*w. Sort 1\/5, k, w.\nAnswer: k, 1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12747, -50976, -114691, -203892, -318579?\n\"Answer: -12743*k**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-5))\/((-8)\/(-20)). Suppose -26 - 34 = -u*r. Suppose 7*o = r*o - 615. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -4, -5, 1\/3, 3\/16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**4\/12 - r**3\/6 - 7*r**2\/2 - r. Is h(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - ((sqrt(95) + -1*sqrt(95))*6 + sqrt(95)) - (-2*sqrt(95)*4 + sqrt(95)))\/((sqrt(20) + (sqrt(500)*3 - sqrt(500) - sqrt(500)))\/sqrt(4)).\nAnswer: 7*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53? (a) -2 (b) -11490 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkt when three letters picked without replacement from ttkktkktkkktttkttkt?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 128106.634 rounded to the nearest ten?\nAnswer: 128110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -104 (b) 2 (c) -328 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*p + 12 = 0. Let k = 16 + p. Solve y + 29 = 5*r, y - 16 = -0*y - k*r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*t**5*x - 451*t**3*x**2 - 21349*t*x**2 wrt t?\nAnswer: -280*t**3*x - 2706*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -35129560?\nAnswer: -1\/17564780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1\/1)\/(-1) + 230 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-21) - (-2)\/7. Let o be 40\/90*(-9)\/(-2). Suppose 4*u = o*u + 10. Solve -2*n + u*k + a*k = 0, 5*n = k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 5*g**2 + 7. Let n = 0 - -5. Give c(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 492 divide 767415696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 16 = 20. Let h = 60 - w. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50722311.3 to the nearest one hundred thousand.\nAnswer: 50700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10374297601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11011 * 3.\nAnswer: -33033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 8 = 5*v + 24, -u - 2*v - 2 = 0. Let n(o) = o**u - 43 + 43. Let t(j) = 2*j. Calculate t(n(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x - 4. Suppose -22 = -6*g - 4. Calculate the lowest common multiple of (-1)\/(1\/(-25 + g)) and r(6).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 - -66. Let h be 7\/(t\/(-8)) + 46\/14. Suppose -56 + 53 = -h*x. Calculate the remainder when 1 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 37504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-670)\/(-222) - (63\/7 - 6). Which is greater: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2649 not equal to -2649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 299995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 120 = -5*k. What are the prime factors of (2 + 7)*(-112)\/k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -237017, -237013, -237009, -237005, -237001?\n\"Answer: 4*c - 237021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*((-3)\/(-12))\/(2\/4))\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 3. Let t be h(5). Let z(b) = -b**3 + 14*b**2 - 15*b + 27. Let d be z(13). Which is bigger: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 - -13.5.\nAnswer: 22.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**4\/24 + 3*q**2\/2 + 2*q. Let o(y) be the first derivative of a(y). Let w(u) = 19*u. What is w(o(k))?\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -66801, -534790, -1805049, -4278714, -8356921, -14440806, -22931505, -34230154?\n\"Answer: -66856*z**3 + z**2 + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 5*p - 6. Let w be 61 - (-2 + 0 + -2). Let x = -114 + w. Let h = x - -44. Calculate t(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 146\/(-132) - (-721)\/618. Let k(p) be the first derivative of -p**4\/4 + 5*p**3\/3 - p**2\/2 + 6*p + 3. Let u be k(5). Which is bigger: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 37.7 (c) 8 (d) 2\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t**(-2\/23)\/t))\/(t\/(t*t**(1\/9)))*((t*t**3*t)\/t)**(-1\/3))**(-4\/27) assuming t is positive.\nAnswer: t**(-1544\/5589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (118 + 53 + 62)*(4 + 3*o - 2*o - 2) to b*o + p and give p.\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 31.54. Let v = g + -0.08. Round v to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13631499 and 0.2.\nAnswer: 2726299.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 5 + -1 + -2. Suppose -3*g + 8 = -g + 4*d, -5*d - 56 = -l*g. Suppose g*f - 19*f = -1239. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/30 and -49\/5759550?\nAnswer: 5759550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**16*o**(-10\/11)\/o assuming o is positive.\nAnswer: o**(155\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 399043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 0.5 (c) -2\/7 (d) 3 (e) -6\/47 (f) 1.79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 402286526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-16 - (-5 - 9 - -5))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-42)\/(-35))*(-18)\/(-45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-640)\/126 - (-6)\/27 and ((-1016)\/96)\/(2\/(-4)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/18)\/((-1610)\/(-276)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**6\/60 - o**5\/15 + o**4\/8 - 5*o**3\/6 - 7*o**2. Is i(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**2 + 4*h - 8. Let y(u) = -14*u**2 - 11*u + 23. Suppose 5 = 5*j - 5*d, -5*j - 5 - 20 = d. Let a = j - 7. Let g(f) = a*i(f) - 4*y(f). What is g(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 3377.560739.\nAnswer: 3377.460739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**3 - 2263*l**2 + 17*l - 35. Let c(r) = -r**3 - 754*r**2 + 4*r - 10. Determine 7*c(w) - 2*p(w).\nAnswer: w**3 - 752*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/5*(-12)\/(-8) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**4 + 4*n**2 + 21. Let l(u) = 3*u**4 + 7*u**2 + 43. Let s(m) = 7*i(m) - 4*l(m). What is the derivative of s(o) wrt o?\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 33451044 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r + 103 = -20 + 11. Sort 1043, r, 1, 2 in decreasing order.\nAnswer: 1043, r, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 12:15 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31937 is divided by 104?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 4*z**2 + 2*z - 6. Let t be v(4). Let p = -1 + t. Is p > 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10011111 - 320?\nAnswer: -10012031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -65. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -5\/12*w**4 + 0*w**3 + 1\/2*w**2 + 0 + 7*w. Find the first derivative of b(m) wrt m.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 324811236, 324811235, 324811234?\n\"Answer: -v + 324811237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 286*q**6 - q**5\/5 - 1616*q**3\/3 + 6417. Find the third derivative of i(k) wrt k.\nAnswer: 102960*k**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 2249*v - 216950. What is b(-101)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3*3 + 5. Let a(z) = z**h + z**2 - 2*z**2 + 7 + 2*z + 7*z**2 + 4*z. What is a(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*l - 23, -5*l = -27*o + 25*o - 13. Let v = -13 - -6. What are the prime factors of -4*(o\/6 - -2)*v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 10.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27736785 and 3776?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, n: 4, v: 1}. Give prob of picking 1 n and 1 r.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4, -2\/11, -512, -3\/8 in decreasing order.\nAnswer: 4, 0.2, -2\/11, -3\/8, -512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128*x + 39 + 61*x + 63*x)*(17*x**3 + 10*x**3 + 3*x**3).\nAnswer: -120*x**4 + 1170*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 14135 = -14187. Let c be (-2)\/(-8) + 1\/(-4). Put c, -7, o, 2 in ascending order.\nAnswer: -7, o, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -10*j. Let d(g) = -37*g**2. What is d(t(l))?\nAnswer: -3700*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7009459605.\nAnswer: 3, 5, 51921923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 1:11 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*n + 20, -j - 5*n - 20 = 2*j. Let m be (0 - -3)*j*10\/(-75). Which is the biggest value? (a) 3 (b) 1\/5 (c) -0.5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12855 + 12851. Let i(o) = 2*o**3 - o**2 + 12. Let m(a) = -4*a**3 + a**2 - 23. What is g*m(p) - 7*i(p)?\nAnswer: 2*p**3 + 3*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*a = -3*r - 93*a + 72, 4*a - 104 = -5*r. Solve 17*y - r*y + 1 = -2*z, -4*y + 8 = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**2\/3 + 43529*z\/3 - 101584 = 0?\nAnswer: -43536, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmmd when four letters picked without replacement from {k: 9, m: 4, d: 3}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.22? (a) 1 (b) -2\/3 (c) -5 (d) -0.3 (e) -131513\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 7*x + 6 = 0, o - 4 = -4*x + 2*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.763 + 10.237. Let j = 0.03 - 4.03. What is the third biggest value in j, 5\/3, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 + q**2 + 17*q**2 + 4*q**2 - 3*q**2.\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t - 6. Let y(n) = 6*n - 17. Let f(r) = -17*u(r) + 6*y(r). Suppose -8 = 4*p - 6*p. Calculate f(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -109, -1, 8 in descending order.\nAnswer: 8, 0, -1, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17717*j**6*w - 6*j**4*w - 29*j**2*w + j**2 - 13*j*w + 12*w wrt j.\nAnswer: -2126040*j**3*w - 144*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*z**3 - 32 + 159*z**3 - 33.\nAnswer: -2*z**3 - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.87148 meters in nanometers?\nAnswer: 84871480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -221200220000 (base 3) in base 16?\nAnswer: -7b7f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, 15, 1, 61, -2, 2 in descending order.\nAnswer: 61, 15, 3, 2, 1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322404 (base 5) in base 15?\nAnswer: c7a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17059 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: How many minutes are there between 9:07 AM and 5:47 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31751*x = 31736*x - 255 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 7*l**2 - 5*l - 4. Let i be t(6). Let a = 2 + i. Suppose 3*q - 2*q + 155 = n, 3*n + a*q = 465. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtg when three letters picked without replacement from {g: 5, t: 4, j: 5}?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**5 - 1498*x**4 + 605737*x**3 - 31792908*x**2 - 723867408*x - 3488111424 = 0.\nAnswer: -9, 84, 716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2 + 0 = 0. Let b be c + (-1 - (-4)\/2). Suppose -3*g + 4*g - 2 = b. Solve 7*p - g*p + 5*j = -35, 2*j = -5*p - 20 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24810695 by -8795.\nAnswer: 2821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29760 and 22641780.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1*3*(-2)\/12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236 divided by -4.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 53264*f*u + 129*f - 375 wrt u.\nAnswer: 53264*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one sixteenth of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 + 5*a + 1 + 2 - 2*a**2. Let v(i) = 25*i**3 - 2*i**2 - 6*i - 23. Let o be v(-3). Let g = -703 - o. Give w(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 12 - 0, -37 = 4*z - 3*u. Let a = -8 - z. Suppose 5 - 3 = x. What is the nearest to a in 0.2, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35035137 + 213*s - 35035137.\nAnswer: 213*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f - 6*f + 0*f - 20 + f + 20 + (0 + f + 0)*(5 - 1 - 3) + 3*f - f + 0*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 4*u = u - 70, 2*r + 3*r - u - 6 = u + 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) 85\/4 (c) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + f + 42, -6*o + 5*f - 42 = -9*o. What is the remainder when 6\/(-2)*1 - -12 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319*y - 162*y - 156*y - 408 = 0. Calculate the highest common factor of 66504 and y.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13368 by 12.\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**7))\/(h**(3\/4)\/h))**(-1) assuming h is positive.\nAnswer: h**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-15)*(18 + -23). Determine n, given that -4\/3 + f*n**2 + 2\/3*n = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 0*f + 7*f**2 + 2*f - 10*f**2 + 2*f**3 - 1 - f**3. Let d be l(3). Sort 1\/10, -4, d in descending order.\nAnswer: d, 1\/10, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 2)\/10 - (-5)\/6\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -83*y + 224. List the prime factors of i(-8).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -20*v**4 + 16992*v**3 - 2827280*v**2 - 31194432*v - 12024320 = 0.\nAnswer: -10, -2\/5, 244, 616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 19 = 4535796*w - 4535791*w, -5*w - 24 = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6366, 6190, 6014, 5838, 5662?\nAnswer: 5486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i - 12*i - 50 - 4*i + 27 - 32.\nAnswer: 2*i - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-8)\/12)*72\/(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m**2 + 6. Let i(k) = 20*k**2 + 17. Let b = 103 + -38. Suppose 5*w + 3*s + 23 = -b, 2*s - 15 = w. Suppose -p + 2 = -4. Give p*i(q) + w*f(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + 728*m - 3*m**3 - 734*m + 4*m**3 in the form p + u*m**2 + i*m**3 + j*m and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -884*s**4 - 5*s - 452. Let b(g) = 881*g**4 + 4*g + 451. Let a(c) = -3*b(c) - 2*l(c). Find the second derivative of a(f) wrt f.\nAnswer: -10500*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1 - (0 + -3 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -5, 4, 3, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -12. Is (u\/(-2))\/((-4)\/172) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20, 18, 16, 14, 12, 10?\n\"Answer: -2*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z - 13. Let v be j(6). Suppose 3*o - 24 = -2*o + b, -4*o + 15 = -v*b. Solve o*m = -s - 9, -2*s - 14 = s + 2*m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 25*x - 70. Suppose 0 = -93*k + 97*k - 72. Let a be r(k). What is the greatest common divisor of 12 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5867?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2825*l + 7442 = 3029*l + 3352 - 11006 for l.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/((-27)\/(-18))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-4 + (3 + -1 - 76)). Let u = 80 + r. Let v(d) = -6*d - 1. What is the least common multiple of v(-2) and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -8*r + 1. Calculate the lowest common multiple of 2 + -2*3\/(-6) and y(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.122426 millennia to months.\nAnswer: 13469.112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 214.1185t?\nAnswer: 214118500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04938432 rounded to three decimal places?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - v + 1 - 6.\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0745788 to 4 dps.\nAnswer: -0.0746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25235813, -25235800, -25235773, -25235726, -25235653?\nAnswer: -25235548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5 = 2*p, -4*j - 23 = -3. Suppose 30 = -p*t + 30*t. Determine w so that -48*w - 3\/2*w**3 - 42 - 33\/2*w**t = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*o**3 - 2*o**2 - 113*o?\nAnswer: -24*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13, 63, 145, 259, 405, 583, 793?\n\"Answer: 16*t**2 + 2*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -28, -2\/3, -2, 4, -12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 316.864 days to milliseconds.\nAnswer: 27377049600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6923801717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45488\/63 - -722. Suppose -3*i + 113 = 4*d, -2*d = d - 3*i - 90. Let z = d - 30. Which is smaller: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 13 = -r - k, 5*r - 27 = 3*k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10022 - 13104?\nAnswer: -3032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110\/740*(-3)\/((-27)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 25\/2 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 7*u - 3. Let k be n(-8). What is the common denominator of 29\/10 and (-6)\/k - -2 - -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2 - 7*h + 4. Let k be (-31)\/(-5) + (-2)\/10. Let y(b) = -10 + 2*b**2 - b**2 + 9 + b + 0*b. What is k*y(g) + l(g)?\nAnswer: 2*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 1796 + 1868. Sort -4\/5, 3, x in descending order.\nAnswer: 3, -4\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 23053064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 7*c**2 - 20*c + 7. Let g be k(3). Differentiate -15*x - 3 + 0 + 53 + g*x with respect to x.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4874?\nAnswer: 2, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, j: 2}. Give prob of picking 1 j and 2 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9790, -10442, -11094, -11746, -12398, -13050?\n\"Answer: -652*w - 9138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*i + 678496 = 256*i. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (36 + 0)\/(-2 + 3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 - 6. Let f be v(-5). Let n = -45 + f. Suppose 0 = 2*l + l - n. What is the lowest common multiple of l and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2, -2*c + 3*c = -3*r + 107. Let a = -76 + c. What is the remainder when 49 is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f - 1. Let h be o(-1). Solve h*r = 7 + 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 834*o + 1676 - 248 = 918*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + 3*v + v to the form z*v + g and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18 (b) -3 (c) 1149 (d) -1 (e) 2\/11 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 1210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 43*g + 21*g - 64*g - 86*g to i + p*g and give p.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/800 and 23\/15.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u + 5*u + 6*u - 5 + 2*u + 2*u**2 + 3*u**2. Suppose 13 = -4*b - 19. Is o(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003192542 to 6 dps.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69896475?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + a73622?\nAnswer: a73623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 2:02 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.9 + 7. Suppose -15*g = g + 16. What is the closest to g in -2\/19, -0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*0\/(-6)*(-1 - -2). Let a(z) = 18 - z**3 - 2*z**2 - z + h*z**2 - 2*z**2 + 5*z**2. Calculate a(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/10 and 11\/23067064.\nAnswer: 115335320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*p = -56, -8*p + 9*p - 124 = -5*f. Solve 2*i + 6 = 4*q, -q + f = 5*i + 2*q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 170*w**3 + 36*w - 83*w**3 - 85*w**3 + 11 + 27*w to the form u*w**3 + l*w + c*w**2 + p and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/72*2*1. Let s be 4\/10 + (-49)\/35. Is p at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043237 to the power of 1\/2, to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 3*a - 7\/2*a**2 - 3. Is j(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1774913 is divided by 107?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -108041, -216375, -324997, -433907, -543105, -652591, -762365?\n\"Answer: -144*m**2 - 107902*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, q: 3, p: 9, y: 5}. What is prob of sequence pg?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 66*a**2 + 67*a + 101. What is w(-65)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 15 = y, 3*y - 3*z = 18 - 3. Suppose -4*f + 9*f = 0. Let q be (1 - f) + 4 + -4. Which is greater: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1922\/(-93)*((-585)\/(-150))\/13\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.1 + 77.7. Round l to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omooooomoooommoomoo. Give prob of picking 3 o and 1 m.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 619426323 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p*y**5 - 2634636*p*y**2 - 4897096*p*y - 3*y wrt y?\nAnswer: 40*p*y**3 - 5269272*p","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/18 + (-22)\/60. Suppose 30*i - 22*i + 38*i = 0. Which is bigger: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 2*m**2 + 2*m - 3. Let d(w) be the first derivative of 1\/2*w**4 + 5\/2*w**2 - 7*w - 5\/3*w**3 - 14. Determine 5*a(q) - 2*d(q).\nAnswer: q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, 165, 801, 2105, 4299, 7605, 12245?\nAnswer: 18441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 757110 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -786a - 0?\nAnswer: -786a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 5*k + 783, 5*d = 2*k + 491 + 529. Is d a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -134 - 2103?\nAnswer: -2240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - n - 2*n + 0*n + 0*n + n + 2*n - 4*n + n - 3*n + n + (4 - 4 - 1)*(n + 2*n - n) + 0*n - 2*n + 7 - 4.\nAnswer: -9*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 458135.9ug to milligrams.\nAnswer: 458.1359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**4\/60 - 7*g**3\/10 + g - 20. Let r(w) = 0. Calculate w.\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1035, -1043, -1037, -1017, -983?\nAnswer: -935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/4 of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2744 - 2744.000001926. What is t rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15255*t - 5*t**2 - 15250*t + 30505*t.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110518 is divided by 109566.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8664 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*v - 87 - 2073 = 29*v for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8150 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 5, -2 in decreasing order.\nAnswer: 5, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45.4671 - 2155273.4671. Let b = 2155252.30121 + v. Let q = 24.3 - b. Round q to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22.7 + -22.2. Let f = -26.8 - -1.8. Let l = 25.2 + f. Which is the nearest to o? (a) -0.3 (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 3 - -1)\/(-1). Suppose -5*r = -b - 5. Is (37\/3)\/(r\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-1650)\/(-45)) - 49\/(-130)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7315710 less than -7315729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5917 is divided by 2939?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1, -25, 2\/45, 4?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 491157437 to the power of 1\/2, to the nearest integer?\nAnswer: 22162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*d - 18, 1 - 17 = -5*k + 2*d. Solve -k*o + 2*s + 2 = 0, -2*o + 7 = -o + 2*s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y - 3*k + 25, 0 = 4*y + 4*k. Let s(q) = 2*q**2 + 6*q - 3. Calculate s(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13465004\/55 or 244819?\nAnswer: 13465004\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 3*k. Let t(y) = -11*y**2 + 22*y - 4 - 5*y + 4. What is -34*m(z) - 6*t(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 4. Let b be v(-2). Suppose 0 = b*o - 7*o + 55. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60628?\nAnswer: 2, 23, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 33 = 57. Solve v + 4*v = y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 392249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -12*x**3 - 684*x**2 - 9*x - 324. Let p be q(-57). Let o = -28 + 49. What is the greatest common factor of o and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 12*b - 18 = 3*z, -b + 19 = -4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b**2*q - 2*b**2*r - 41*b**2 - 22*b*q - 2*b*r + b - 3*q*r - 15571*q - 32*r + 98 wrt q.\nAnswer: 3*b**2 - 22*b - 3*r - 15571","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 + -35. Calculate the remainder when 1738\/14 - (-7)\/(343\/(-7)) is divided by x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 1 = -4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.47 and -32.66716?\nAnswer: 33.13716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 19 + 8. Suppose -2*r + 11 = -m. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 9*y - 3. Let r(p) = -p - 2. Let q(g) = f(g) - 2*r(g). Let o be q(-12). Which is smaller: o or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -46.6481 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381*w + 111089*w**2 + 217144*w**2 - 380*w.\nAnswer: 328233*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-4))\/(4\/(-64)). Let a = u - -15. Suppose -3*w - 4*k = 0, 0 = -4*w - 2*k - a*k + 1. Solve -f = -w*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/307 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = -5*o - 9, 3*o = 4*c - 15. What is the units digit of (-8)\/((-3)\/c*1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*o - 3*h, 2*o - 5 = 2*h + 9. Calculate the smallest common multiple of o and (-6)\/(-9)*9\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 + 32a9?\nAnswer: 32bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1086.8 - -969. Let u = 60.6 + x. Let d = u - -61. Round d to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13481 - -13480. Let p(k) = -40*k - 37. Give p(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + -0.19. Which is the third biggest value? (a) 4\/9 (b) -0.1 (c) g (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6854352 rounded to 2 dps?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.99 rounded to 0 decimal places?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 26*i - 71. Let u be l(24). Let b(z) = z**2 - 11*z - 117. Let t be b(0). Which is greater: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + sqrt(156)\/(sqrt(3)*3))\/(sqrt(4) - sqrt(40)\/(sqrt(10)*2)))**2.\nAnswer: 832\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/18)\/((-2)\/(-9)). Let f be -3 + 2*9\/v. Suppose -2*o + 1 = k - 3*o, -5*k + 2*o + 2 = f. Solve -4*g + k = 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*r**3*v - 2*r**3 + r**2 + 6*v wrt r.\nAnswer: 60*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2 + 2 - 417914*p**2 + 419134*p**2. Let k(j) = -7*j**2. Determine u(k(q)).\nAnswer: 59780*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 340312 divided by -14?\nAnswer: -24308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 692561\/(-2335) - (-4)\/(-10). Suppose 0 = 12*l - 14*l - 590. Are l and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 - k**3 + 0*k**3)*((3*k - 4*k - 6*k)*(1 + 0 + 1) - 2*k - 1 + 1).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -278.3 + 151.1. Let w = v + 127. Put w, -0.9, -1 in decreasing order.\nAnswer: w, -0.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.101 and 0.04.\nAnswer: 0.00404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(1\/2)*h)**(2\/7))**(3\/11))**(-1\/13) assuming h is positive.\nAnswer: h**(-9\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkkkt. What is prob of sequence kk?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 11:12 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12582 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5457364295 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 176526605 to the power of 1\/4, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*r**2 - 41*r**2 + 52*r**2)*(2 - 4*r + r + 2*r).\nAnswer: 28*r**3 - 56*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 - 2 + k**2 - 2*k**2 - k + (-2*k - k + 0*k)*(5 - 5 - 5*k) + (2*k + 0*k - 5*k)*(-3*k - 5*k + 2*k).\nAnswer: 34*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8 = -4*s. Let c(a) = -a**2 + 7*a + 7. Let o(u) = -2*u - 1. Let q(x) = s*o(x) + c(x). Determine q(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -27*h**2 - 42*h**2 + 72*h**2. Let k(v) = 2*v + 24. Give k(b(p)).\nAnswer: 6*p**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.064025 litres in millilitres?\nAnswer: 1064.025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 8*t**2 + 8. Let b be (28\/8 + 1)\/((-3)\/(-36)). Suppose -5*x + b = x. What is the units digit of v(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 927331, 1854662, 2781995, 3709330, 4636667, 5564006?\n\"Answer: w**2 + 927328*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*o + 56 = 0, 5*s + 0*s - 3*o + 63 = 0. Let d be ((-8)\/s*2)\/(14\/(-6)). What is the second biggest value in -1\/4, -9, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 21. Let o be (r\/(-9))\/(-1) + -3. What is the nearest to -1\/4 in o, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o - o)*(-69*o**2 - 2*o + 35*o**2 + 40*o**2).\nAnswer: -6*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*x - 32*x + 120. Let m = 19 + x. What is the second biggest value in m, 7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25054 (base 9) to base 11.\nAnswer: -116a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u - 4 + 1\/5*u**5 - 1\/2*u**4 + 0*u**3 + u**2. Solve x(v) = 0 for v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r - 5. Let t = -4 - 0. Calculate w(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12339999, 12340002, 12340005, 12340008?\n\"Answer: 3*y + 12339996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -509083577066.\nAnswer: -509083577061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 302632 and 8.\nAnswer: 302632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 + 4*n - 5*n**3 - 2*n**3 - n**3.\nAnswer: -12*n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 152.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 613 (b) -1\/12 (c) 0.3 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2) - 2)\/6. Let d = -18 + 18.08. Let h = 0.32 + d. Sort h, 0.1, b in descending order.\nAnswer: h, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/13)*v\/(v*(v**(-3)\/v)\/v))\/(v*v**(-1\/5)*v**(-7)\/v) assuming v is positive.\nAnswer: v**(813\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 1144?\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/9)\/(o*o**(2\/9)) assuming o is positive.\nAnswer: o**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 4 (c) -0.4 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = 8*r + 182 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 21 - 6*w)*(-2 - 18 + 12*w + 13 + 6).\nAnswer: -72*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/14779 - -1748518283\/206906. Let l = v + -8443. Calculate the common denominator of (16\/24 + 0)\/((-16)\/1044) and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -164, -194, -224, -254?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 332836394, 332836400, 332836410, 332836424?\nAnswer: 332836442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 597*m**4 - 24 wrt m.\nAnswer: 2388*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 35 = -5*t. What is the remainder when t is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15925\/6 < -2654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k = -31*k - 960. Let b = k - 433. What is the remainder when 134 is divided by b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20534460 - -6?\nAnswer: 20534466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o*z**2 + 3*o + 872*z**2 - 673 wrt z?\nAnswer: 4*o*z + 1744*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 11) + 4 + 1 + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3399)\/10197)\/(14\/(-3)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -57?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43936*w + 4*w**2 - 3*w**2 - 39 + 39 - 4*w**2.\nAnswer: -3*w**2 + 43936*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 2)*(5 - 4 + 1)*(-2*h + h + 0*h)*(-3*h + 4*h - 2*h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 451459 and -0.4.\nAnswer: -180583.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 3. Let t be j(5). Suppose -t*p - 15 = -109. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -126, -1018, -3444, -8172, -15970, -27606?\n\"Answer: -128*h**3 + h**2 + h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 80334.37 millennia?\nAnswer: 803343.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - -1 - (-4 - (-15 + 28 - (6 + -1))).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*x + 4*y, -5*y - 17 = 3*x - 0*x. Calculate the remainder when 1 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6980.858 weeks?\nAnswer: 4222022918400000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 4*k - 6*k)*(0 + 9*k + 1 + 4*k**3 - 7*k).\nAnswer: -32*k**4 - 16*k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 6)*(0 - 1 + 3) - 1 - 1 + 0)*(4 + 68*f**3 - 4).\nAnswer: -816*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2557952, -2557950, -2557948, -2557946, -2557944?\n\"Answer: 2*l - 2557954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -73*a**3*i - 5*a**3*k**2 - a*i**2*k**2 - 2*a*i**2 - 2*k**2 wrt k.\nAnswer: -10*a**3*k - 2*a*i**2*k - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*c**2*h**3 - 3694*c**2*h**2 - c**2*h - 3*c*h**3 - 6*c*h**2 + c - 45714*h wrt c.\nAnswer: -10*h**3 - 7388*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2. Let x(g) = -g**2 - 6. Let h(l) = 2*l**2 + 11. Let a = -25 - -14. Let t(i) = a*x(i) - 6*h(i). Calculate t(y(p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -385 * -2.\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d + 3. Let n be y(-3). Let v be n*((-10)\/(-6) + -1). What are the prime factors of 8 + 2 + 2 + v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 16 = 5*y - 3, -5*y - 4*g + 31 = 0. Suppose 0 = l - y*l + 1514. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411280543 to the power of 1\/3, to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15608807\/240 + -65037. Calculate the common denominator of 109\/140 and c.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1085880807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 57*j - 451. Let p be l(8). Let h be p + 2\/12 + 3423\/(-126). Put h, -3, 0 in decreasing order.\nAnswer: 0, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81989792 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8577.\nAnswer: 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 + 9*o**2 + 7*o + 12. Let w be t(5). Suppose 12 = 3*v, -2*h = -3*v - w - 20. Calculate the remainder when 62 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 13) to base 6.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2294699407 rounded to the nearest one hundred thousand?\nAnswer: -2294700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**4\/12 - 7*v. Let x(w) be the second derivative of w**3 + 3*w. What is z(x(j))?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -137 - 4*d + 7*d + 1322 + 159 in the form i*d + q and give q.\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.62481 rounded to 2 decimal places?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 - (-264)\/(-6292)*-1606.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/82? (a) -0.3 (b) 1 (c) -1\/6 (d) -1046\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/(-108)*87\/(-8) and ((-7)\/168)\/((-800)\/404 + 2)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 6. Let k be h(5). Let t be (-1 + (-1 - -1))*0. Let o(b) = -1 + 0*b - 3*b + 4*b + t. Let u(w) = -6*w + 2. Give k*u(y) + 4*o(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, -0.09, 0.1, 1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.32 - -8.92. What is the closest to -12 in s, -3, 0.13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1778)\/(-14) - 13 - 11. Solve -46*o - l + 11 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-78)\/(-4)*2\/(-3). Let z = o - -13. Is 0 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146038*z**3 + 1 - z**2 + 218720*z**3 + z**2.\nAnswer: 364758*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 9802924?\nAnswer: 21\/9802924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 8:48 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 135?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1445 and 85.\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 3*b**2 + 6*b + 4. Determine a(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgqeqguuaauqgeue. What is prob of sequence ke?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 134*v**2 + 2. Let u(r) = 261*r**2 + r + 4. What is -7*h(t) + 4*u(t)?\nAnswer: 106*t**2 + 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -17*f**4 + 209*f**3\/6 - f**2\/2 + 2*f - 181. What is the second derivative of u(b) wrt b?\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5228 is divided by 902.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22\/3*d**2 + 0 + 8*d - 2\/3*d**3.\nAnswer: -2*d*(d - 1)*(d + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44521 is divided by 906.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 1 - 1 - 2 + w**2 + 2 + (-w - 4*w + 3*w)*(w - 3*w + 5*w).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 71763 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6 - -1.4. Let z = u + -0.8. What is the third smallest value in z, -8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 493.9749 - 494. Let s = 0.0251118 + v. Round s to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -158 - -161. Solve -2*c + j*c = 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1350 and 1932750?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2 (b) -39 (c) -2 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 4. Let f be k(-4). Suppose f*a = a + 63. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18 (b) -6 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, p: 1, e: 2, w: 1, c: 4, u: 3}. Give prob of sequence euj.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-50))\/(421\/(-10525)))\/(11\/(-12))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11011 (base 3) to base 5\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -420727 divided by 2?\nAnswer: -420727\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.26904cm in micrometers?\nAnswer: 232690.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3348779 - -3?\nAnswer: 3348782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104113*q**3 + 99635*q wrt q.\nAnswer: 624678*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1)*-20 - 0. Suppose 0*g = -5*g - l. Let s be (-4)\/18 - (-333)\/405. What is the nearest to 0 in g, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 0*r + r - r + 4*r**2. Let y(a) = 0 + 1 + 1 + 3*a - 2. Give m(y(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27544, 27504, 27464, 27424?\nAnswer: 27384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 - 2121120002120?\nAnswer: -2121120001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b*c*i**3 - 36*b*c + 30*b*i - 4*c**2*i + 3*i**3 - i**2 wrt c.\nAnswer: 3*b*i**3 - 36*b - 8*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 + 399*r**2\/4 + 38367*r\/4 - 288463\/4.\nAnswer: (r - 7)*(r + 203)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -1 - m - 13*m**2 + 12*m**2 + 0. Let v = 8 + -11. Let j be (2 - (-6)\/(-3)) + v. Let w(d) = -d**3 + 3*d**2 + 5*d + 2. What is j*t(a) - w(a)?\nAnswer: a**3 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 1448 + 1376. Suppose -35*a = 24*a + 17287. Let u = w + a. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2318*d + 676*d + 600*d. Let q(p) = -p. Calculate q(j(r)).\nAnswer: 1042*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120\/2323 - -14\/101. Let q = 4496.12 - 4496. What is the nearest to 1 in q, 0.5, z, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.52128 millennia to years.\nAnswer: 48521.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (21 - -7) - (-1 + 1) - -4.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1839, 3411, 5017, 6675, 8403?\nAnswer: 10219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p = -5*t + 175, -8 - 30 = -3*t - 3*p - 2 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3263574 is divided by 1687?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 7:52 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(225)\/sqrt(5) + sqrt(45))*6)\/(sqrt(20)*-3))\/(-6*((sqrt(75) - -1*sqrt(75)*-4) + (((sqrt(75)*2 - sqrt(75)) + sqrt(75))*5 - sqrt(75)))).\nAnswer: sqrt(3)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 87 = c, 3*c - 379 + 126 = 2*i. Suppose 6*j + 3*v + 36 = 8*j, c = 5*j - 5*v. Solve 3*b + j = 8*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 5*v + 7*v.\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 35148*k + 2222. Let j(r) = 190*r + 12. Give 6*h(g) - 1111*j(g).\nAnswer: -202*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 12 = -4*s + 5*l, -5*l + 6 = 2*s. Let f be 16 - 4*(-1)\/(-2). Let r = f + -7. What is the remainder when r is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11536 + -69067\/6. What is the common denominator of c and -1\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*u - 147*u - 165*u - 159*u - 168*u + 822*u.\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -11*t. Let r(k) = 1072*k. What is r(g(c))?\nAnswer: -11792*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 20 (b) -1 (c) -5 (d) 16 (e) 0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 434\/(-5425) + -78*(-6)\/225. Find w, given that -1\/9*w**o - 4 - 13\/9*w = 0.\nAnswer: -9, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -2101?\nAnswer: -2105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131737056*o*t**3 + 388617*o*t**2 + 2*o*t + t wrt t.\nAnswer: 790422336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**5\/50 + 7*c**4\/30 + 11*c**3\/15 + c**2 + 5*c - 1. Factor l(w).\nAnswer: 2*(w + 1)**2*(w + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 113 - 57 = 0. Let h = w + 272. List the prime factors of h.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 7*p**2 - 10*p + 12. Let b be l(8). Let a be -1 - (b + 27\/2)*-12. Suppose a*h - 226 = 111*h. Calculate the remainder when h is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 26 = 2*s, -y = y + 2*s - 10. Suppose -4*z = -a, -2*z - y = -5*a + 10. Calculate the highest common divisor of 14 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*l**2 - 1 - 6*l**2 - 3*l**2 - 2*l**4 - 2*l**4 - 2*l**3 as w*l**3 + y*l + m*l**2 + c*l**4 + p and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**3 + 250*f**2 - 125*f + 65. Let x be n(62). Let p(q) = 8*q**2 - 3*q + 2. Give p(x).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/140*4)\/((-4)\/(80\/(-164)))?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 122875121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**5 + 3235*m**4 - 16000*m**3 - 32200*m**2 + 64080*m + 77040 = 0. What is m?\nAnswer: -2, -1, 2, 6, 642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 6)*(-z**4 - 2*z**2 + 2*z**2) + (-2 - z + 2)*(37*z + 31*z**3 - 37*z).\nAnswer: -29*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*1)\/(7\/(-77)). Solve -9 = -4*i + g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*f + 494 - 494 + 80*f)*(-132 - 45 - 28).\nAnswer: -11890*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -10.8, 2, -22?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p**2 + 2*p - 6. Let c(o) = -815*o - 2432. Let x be c(-3). Let f(a) = 15*a**2 + 4*a - 13. Give x*k(j) - 6*f(j).\nAnswer: j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 0*n - 5*n + 2*n + n**2. Suppose -g + 4*g = 24. Let r be 34\/g + 3\/(-12). Give m(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 - 3*q**3 - 7 - 9*q**2 - 6*q + 2*q**3. Let b be v(-5). What is the remainder when 2 + (27*1 - b) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 70*j - 68*j + 28, -h + 7*j - 1 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 31 = -3*q, 0 = 3*q - u - 3*u + 14. Let y = 98 + -40. Suppose y = q*g - 0*g. Calculate the remainder when g is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*d + 3053 = a + 48*d, 0 = 2*a - 3*d - 6091. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -9. Let s = -29.623 - -0.123. Let z = -29 - s. Which is the third biggest value? (a) z (b) 1 (c) -0.8 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 156498865\/4 or 39124717?\nAnswer: 39124717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50784 is divided by 25383.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97453 is divided by 1992?\nAnswer: 1837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-42) - 6\/21. Let t(n) = n**3 + n**2 - 2*n - 3. Let x be t(-2). Let b = -0.03 + -1.97. What is the closest to b in x, k, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 963 divided by 2?\nAnswer: 963\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 6*v**3 + 243838*v**2 - 1300664*v - 975480 = 0.\nAnswer: -40645, -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/14727 and -68\/9?\nAnswer: 44181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 907530 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1132 (base 8) to base 4\nAnswer: 21122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136 + -112. What is the lowest common multiple of 22 and c?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*c**2*f**3 + 1928*c*f**3 + 668411*f**3 wrt c?\nAnswer: 28*c*f**3 + 1928*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3020215 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 9*h**2 + 3*h - 13. Let j be w(9). Let t = j - 11. Solve 4*q + 15 = 5*i, -t*q = -2*q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - 150*s - 2*s**2 + 1 - 34*s - 72*s + 64*s to g*s**2 + t + f*s and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a day in minutes?\nAnswer: 9504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(9\/2))**(-3\/8)*((q**(-19)*q)\/q*q)\/q*q**(-2\/5) assuming q is positive.\nAnswer: q**(-1687\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/4 + 1\/2. Let t(p) = -2*p**3 - 4*p**2 - p - 7. Let o be (-31)\/11 + 8\/(-44). Let u(j) = j**3 + 4*j**2 + 6. Let h(m) = o*u(m) - 2*t(m). Determine h(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8030078 divided by 15\nAnswer: -8030078\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -465 + 4189\/9. Let y be (-6)\/(4 + (-25)\/10). Let l be 6\/2 + y\/2. Is s at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2072 and 2664.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -5. Let w = l - -32. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5*g - 65, 41 = 2*g - 3*k + 10. Suppose -j + 0 = 4. Let u = j + 9. What is the remainder when g is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -202964612 by 4318396.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkrrnkrornnorrkrnrrr. What is prob of sequence onr?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/7396488 and -143\/1272?\nAnswer: 392013864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -250*-0.5\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4746*g**4 + 14775*g**2.\nAnswer: 113904*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -54, 130, 456, 924, 1534?\nAnswer: 2286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/((-2)\/(-6)*3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by 2\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/4 of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 12*f**5\/5 - 18*f**4 + 45*f**3 - 87*f**2\/2 + 18*f - 59. Find l such that g(l) = 0.\nAnswer: 1\/2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -74*x**2 + 68*x - 68. Give w(1).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - ((-13 - 4) + 0). Let r be (-3)\/12 - (-1085)\/m. Let w = r + 31. Calculate the greatest common divisor of 17 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2891*b*j - 10*b*x**2 - j*x**2 + 2168*j*x + 2*x**2 - x wrt b.\nAnswer: 2891*j - 10*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24749737 to the power of 1\/2, to the nearest integer?\nAnswer: 4975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*s + 18. Solve s*m + 17 = -5*o - 13, 5*m - 2*o + 2 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34913602 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 - -107. Suppose 4*w + y = 55. Calculate the remainder when 32 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 10885*j**2 + 5551510*j + 5562400.\nAnswer: 5*(j - 1360)*(j - 818)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 1 + 1\/4*o**4 + 4*o - 3\/2*o**2 + o**3. What is a(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 147 - 124. Suppose 0 = -r*v + 6704 - 1690. What are the prime factors of v?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 74*m + 1. Let r(p) = -p - 4. Let y be r(-5). Let g be c(y). Let f(d) = 4*d - 2. Let w be f(8). What is the highest common divisor of g and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 + -315 + 2 + (-21 - (-1 + -2))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.7570087 decades?\nAnswer: 7.570087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 481\/8 + -295\/4. Let z = f + 971\/56. Which is greater: z or 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000817550556 rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1539) - (sqrt(1539) + 1*sqrt(1539)*4 + sqrt(1539)) - sqrt(1539))*-4 + 2)**2 + 0.\nAnswer: -2592*sqrt(19) + 7978180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 646, -1955, 1.8.\nAnswer: -1955, 1.8, 646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15409 divided by 4.\nAnswer: 15409\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -862863*m**2*z - 1240496*z wrt m.\nAnswer: -1725726*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 8*z**2 - 10*z + 1. Let s be v(8). Suppose 216*f = 221*f + 490. Let b = -176 - f. Is s != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3.120204 nanoseconds?\nAnswer: 0.000000003120204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 428535, 857070, 1285605?\n\"Answer: 428535*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 9*y**2 - y - 1. Suppose v + 1 = 63. Let f = 69 - v. Is 45 a factor of c(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + r**2 - 27*r + 11. Give h(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtt when three letters picked without replacement from tdtjjdtj?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**5 + 3*y**4\/4 + y**3 - 3*y**2\/4 = 0.\nAnswer: -1, 0, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36516 + 2?\nAnswer: -36514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 8*t**2 + 7*t + 8. Let g be m(7). Let i be (g\/3)\/(4\/18). Solve -5*y + i + 13 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5823*a - 81 - 5852*a - 360.\nAnswer: -29*a - 441","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 205\/(-6)*(-1)\/(-10) and 1\/((-84)\/(-185))*(-3015)\/(-1675).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*b + 1)*(5489 + 6768 - 11101 + 2*b) to i*b**2 + k*b + m and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1554)\/(-1369))\/14*(-4)\/6.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120736097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 407 and 198.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1 = -5. Suppose -o - 10 = -s*o. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -19 and -302729173.\nAnswer: -302729192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 6*k. Determine c(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*k - 54*k - 12. Let y be -3 + k + (10\/6)\/(-1). What is the smallest value in 3\/5, y, 1\/7, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -530*d**3 - 5*d**4 + 15020*d**2 - 28883*d - 20587*d + 10*d**4 + 5246 - 70271.\nAnswer: 5*(d - 51)**2*(d - 5)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -19*x**4 + 37*x**3\/2 + 3*x**2 - 35. Find the first derivative of l(a) wrt a.\nAnswer: -456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 - -60. Let g be q\/34 + 435\/85. Solve 10 = 2*z + 4*s, -2*s = -z + 2*s + g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 1:52 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 21865730.\nAnswer: 65597190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 6*l**2 + 3*l - 17. Let d be q(6). Solve -2*t + 3 = d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(-8*2\/624).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - t + 2. Suppose f = -4*f + 15. Calculate k(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -898*m + 150144 = -874*m. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(285)\/sqrt(5))\/(sqrt(3) - -2*sqrt(3)*-1).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -20, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i - 5. Let j(k) = 3*k - 4. Let b(p) = -5*j(p) + 4*q(p). Let r(z) = 7*z**2. Calculate b(r(d)).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 10948\/69 + 4\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7738, -6824, -5296, -3154, -398?\nAnswer: 2972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-3)\/4*-6. Suppose i = -g - 2*g. What is the units digit of 2*(g\/(-2))\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -2 (c) -457 (d) 4 (e) 1\/93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22674 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 7:10 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44087909*k*z**4 + k*z - 389*k - 8254 wrt z?\nAnswer: 529054908*k*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-3) + 31\/7. What is the second smallest value in -3, x, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1140\/684 + (124\/(-6) - 1))*210\/(-75)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -5\/22 (c) -0.4 (d) -2 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514 (base 7) in base 6?\nAnswer: 2435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14831\/1820 + 298\/35. Calculate the common denominator of a and 131\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 2*v**2 + v + 3. Calculate m(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2159783410878 + 12106483.2151483410878. Let w = -12106376 + r. Let z = 107 - w. What is z rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 - 4*s**2 + 3. List the prime factors of b(4).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = q + q. Let u be q\/4 - (-235)\/10. Suppose 3*j - u = -5*x, -2*x - 3*j + 7*j = -30. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -19*(-23)\/(-3059) - 23\/(-14). Factor 0*v**2 + w*v**3 + 0*v - 9\/4*v**4 + 0 + 3\/4*v**5.\nAnswer: 3*v**3*(v - 2)*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00489525973 rounded to 4 decimal places?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 22. Suppose -5*b + 12 = j + 2, b = 4*j - 19. Let y = 0 + b. Which is greater: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 978929 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -909*j = -902*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 0*b**2 + 4*b**2)*(0*b**2 - 4*b**2 + 2*b**2) + 14*b**3 - 14*b**3 - 22*b**4 + (3 - 4 + 0)*(-9*b**3 + 9*b**3 - 2*b**4).\nAnswer: -22*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 + 0*a**3 + 0*a**3 + (707*a + 137930 - 137930)*(-2*a**2 + a + a + a**2) to the form u + t*a**3 + y*a + h*a**2 and give t.\nAnswer: -705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120.58 - -194.95. Let c = j - 74. Let r(d) = -d - 1. Let f be r(0). Is f less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1155 (base 9) to base 14.\nAnswer: -456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnrdb. What is prob of sequence dr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 3 (b) -13 (c) -5 (d) 0.5 (e) 2761\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -4*x - 11, 0 = 4*x + 19*p - 14*p + 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 9:29 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 510 and 1818820.\nAnswer: 92759820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*l = 4 - 33, o = -5*l + 6. Let h(f) = 11*f - 2. What is the remainder when h(5) is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*l - 1 + 1 + 2*l + (-2 + 0 + 4)*(l - 2*l - l))*(-5 + 0 + 3) + 6 - l + 1 - 4 in the form j + d*l and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-68)\/(-42) - 4\/14. Let y(k) = -k**3 + 18*k**2 - 19*k + 2. Let s be y(1). What is the nearest to s in 1\/7, c, 1\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/(-12))\/(1\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44124356 (base 7) to base 16\nAnswer: -39cca1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmn when three letters picked without replacement from mmmmnnmlmlllnnm?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 15*f - 32 = 0. Let q be (-1)\/4 + 50\/f. Suppose u + u - q = 0. Calculate the remainder when 5 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20851 - -21033. Solve -3*s + n = 23*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times -0.04496?\nAnswer: 0.049456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 16 = -3*u, 2*r - 1 = 3*u - 15. Let t be (-6)\/((-2)\/(8\/u)). Solve -5*w + t*b = 10, 2*w + 0*w = 2*b - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, u: 1, b: 1, g: 3}. What is prob of picking 1 b and 3 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/3)\/c)\/(c*c*c**4))**(-2\/15)\/((((c\/c**(3\/7))\/c)\/c**4)\/(c**(-1\/3))**(3\/7)) assuming c is positive.\nAnswer: c**(1672\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(-3)*(-990)\/462. Let c(r) be the second derivative of -2*r + 0*r**4 + 13\/20*r**z + 0*r**2 + 0 - 1\/6*r**3. Find the second derivative of c(p) wrt p.\nAnswer: 78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 1145*f**2 - 577*f**2 - 570*f**2. Let u(x) = 6496*x. Give v(u(n)).\nAnswer: -84396032*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 3*k + 3. Suppose 792*m - 2*z = 796*m - 12, 0 = -2*m + 5*z - 30. What is p(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 2*m**2 - 14*m - 2. Let y be p(5). Suppose 0 = 4*w + 16, -2*b - 3*b + 9203 = y*w. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -9*-5*4\/(-60). Let u(g) = g**3 + 3*g**2 - 2*g - 3. Let b be u(w). What is the third derivative of 11*f**b + 6*f**3 - 9*f**2 + 2*f**3 - 13*f**3 wrt f?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmwmwmmmmwwww. Give prob of sequence wwmw.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 1\/2, -3, -6.1, 1013 in descending order.\nAnswer: 1013, 51, 1\/2, -3, -6.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94375.999888229 + 94376. What is g rounded to 6 dps?\nAnswer: 0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**0)**(-2\/39)\/(i**(-1))**(-11\/4))**5)**(-2\/15) assuming i is positive.\nAnswer: i**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaezhgaaevzahvvazzz. What is prob of sequence ezg?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 14*w**2 + 84*w - 16. Let y be g(-5). Solve 0 = 10*h + 1 + y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16357815*i**2 + 202*i - 1779?\nAnswer: 32715630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -11*g - 60. Give z(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*s - 47*s - 2*j - 44, 3*s - 3*j = 36 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 + 80. Which is the nearest to 1\/6? (a) 3 (b) -0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38318240053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 290278326419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**6\/30 - 231*r**4\/4 - 693*r**2 - 715*r. Differentiate c(o) wrt o.\nAnswer: 4*o**3 - 1386*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/5 (b) 0.6 (c) 15.1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -193*b + 16. Let g(f) = 193*f - 14. Let t(n) = -4*d(n) - 3*g(n). What is the hundreds digit of t(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o**2 - 11*o. Let a(c) = 5*c. What is u(a(t))?\nAnswer: -100*t**2 - 55*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 10*q + 9. Let r be k(10). Suppose 2*d = 3*z + r, 4*z = 4*d + d - 5. List the prime factors of (-14)\/d - 3\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -2. Let m(j) = 10*j**2 - j - 2. Let d be m(-1). Let f(a) = -a**3 + 7*a**2 + 18*a. Let v be f(d). Solve 3 = -3*t - b - c, v = -2*t - 5*b + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = c + 6*r + 11, c + 3*r = -3. Suppose 3*f = 3 + c. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 + 8834 - 4*b**2 - 5*b**2 + 20758.\nAnswer: -2*b**2 + 29592","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l - 24. Let y(j) = -348*j**2. What is k(y(o))?\nAnswer: 1044*o**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28884554 to the power of 1\/2, to the nearest integer?\nAnswer: 5374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/3 - 3068*s**2\/3 + 96360*s.\nAnswer: 4*s*(s - 657)*(s - 110)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f - 1. Suppose f*l + 35 = 56. Suppose -m - l*c + 10 = -8*c, -4*m + 5*c = -42. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/45 + 1\/5. What is the nearest to 0.1 in 1\/12, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -850478 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 808*r + 12. Let y(a) = -429065*a - 6370. Give 3185*t(g) + 6*y(g).\nAnswer: -910*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 5:50 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 47904641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1868, 3725, 5582?\n\"Answer: 1857*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.9 + -26.9. Which is smaller: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 3*j + 8, 25 = 5*j + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4 = -133*o + 132*o, -11 = s + 4*o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/52 and -31\/1339.\nAnswer: 5356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 s, and 1 l when three letters picked without replacement from {f: 1, u: 1, l: 1, s: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 373 and -91.632?\nAnswer: -34178.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 917.\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 470, 477, 488, 503?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 2. Let z be m(-5). Let r(w) = -5*w + z*w - 2*w - w. Let x(y) = y. What is r(x(d))?\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -43441 (base 5) in base 2?\nAnswer: -101110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 + n**3 - 4*n**3 + (0*n**2 - n**2 - n**2)*(-4*n + 3*n - 10*n) + 0*n**3 - n**3 - n**3 - 2*n**3 - 3 + 3 + (-2 - 3 + 6)*(-2*n**3 + 3*n**3 + 0*n**3).\nAnswer: 13*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*a - 0*w + w, 4*w = -2*a + 44. Suppose -a + 0 = -3*b. Suppose 9*p - b*p - 50 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 349731.\nAnswer: 4896234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Let i = 1.9 - w. Which is the second biggest value? (a) 5 (b) 1\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 691605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/14 + 476\/(-49). Let a = -20 - b. Let q = 12 + a. Solve -q*p + 17 = 3*i, -3*i + 5*p + 12 = 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.199 + 1.1989501. What is i rounded to 6 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 510 + 177*y**2 - 1022 + 512.\nAnswer: 177*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-126) + 1*23\/((-392196)\/3388)\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34429.\nAnswer: 34429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272, -282, -292, -302?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34846 (base 12) in base 5?\nAnswer: -4222301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 501444217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 268 = -1217. Suppose -5*j + 5*m + 235 = 0, 0 = -4*j + 3*m + w + 26. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -8*t**3 + t**2 + 37*t + 224. Calculate the remainder when q(-7) is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 924 is divided by 790?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100100111001 (base 2) in base 8?\nAnswer: 34471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 60 = -20. Suppose 3*v + y = -5*w - 0*w, 0 = -4*w + 3*v - 2. Let q(j) = 0 + 4*j**2 + j**3 + 1 + 3*j + 0. Calculate q(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -10*c + 16. Let k be g(0). Find the second derivative of -k + 5*x**2 + 77*x - 1 - 2 - 75*x wrt x.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000 + 20?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 7:12 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12224404 and 6112202.\nAnswer: 12224404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 353431, 354405, 355379, 356353, 357327?\nAnswer: 358301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1137*t - 651*t**3 - 1137*t + 2*t**2 to d*t**3 + h + n*t**2 + g*t and give d.\nAnswer: -651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 6*q - 62. Let y be f(-11). Let a be (y + (-81)\/(-12))\/(1\/(-12)). Solve -3*s - a = -0*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3*f - 8 = -32, 4*f = -x + 26 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**3 - 84*o**3 + 203*o**3 + (o**2 - 4*o**2 + o**2)*(-5*o + 31 - 31).\nAnswer: 129*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*h + 18*h = 20*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49842 - 29540. List the prime factors of v.\nAnswer: 2, 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2720 - 1867. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011002110201 - 12?\nAnswer: -1011002110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -81.944.\nAnswer: -81.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 18882?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.24 - 0.122.\nAnswer: -0.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 631*n*y - 12689*n - 2*y**4 wrt y.\nAnswer: 631*n - 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/23)\/((-7)\/(-2)*(-178)\/(-623)*1)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2.7, -3656164, 2\/5 in decreasing order.\nAnswer: 2\/5, 0.3, -2.7, -3656164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17764, 35665, 53618, 71623, 89680, 107789, 125950?\nAnswer: 144163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -46562.\nAnswer: -3\/46562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -164.71 - -164.51. What is the closest to c in -4, 0.4, 0.123?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 24 = 4*w, 4*w + 4*l + 2 = 2*w. Let f be (9\/4)\/(w\/(-12)). Solve -f*h = 21 - 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6525 by -145.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105.1359 months to decades.\nAnswer: 0.8761325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 4, 3, 1.18, -0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17243503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - l**2 - 7*l + 12. Let p(k) = -k + 15. Let c be p(12). Let y be d(c). What is the smallest value in 5, y, 1, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35868.43ns in seconds?\nAnswer: 0.00003586843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 79*a**2 - 1949*a + 115. What is the tens digit of q(37)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13248\/(-4896))\/(4\/(-204)*3)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/26340 and 17\/8.\nAnswer: 52680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9151135 and 658?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -21221 (base 3) to base 6\nAnswer: -554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyoxooyyxy. What is prob of sequence xyoo?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**3 - 136*n**2 - 16*n + 1308. Give v(-45).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 2:14 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**2*n - 97*c**2 - 2*c*n + 2*c - 3417*n wrt c.\nAnswer: 2*c*n - 194*c - 2*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.4 + 3.1. Let q = 1.7 - i. Which is smaller: 0.3 or q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 0 + 5\/2*g**3 - 24*g + 0*g**2. Let h(r) = -4*r**2. Give x(h(b)).\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b - 15 = 4*b + 19*b - 5*p, 5*b = -2*p - 33 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13238 + 13278. Let d be 3070\/35 + (-2)\/(-7). Calculate the greatest common divisor of d and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9019, -9016, -9013, -9010?\nAnswer: -9007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7903 - -0.07664?\nAnswer: -7902.92336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7033, -28183, -63419, -112729, -176101?\n\"Answer: 2*i**3 - 7055*i**2 + i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*s - 24, 2*s + 7*m - 7 = 4*m. Let y = s - 1. Suppose 2*p = y*i - 2799 - 1119, 0 = i + 2*p - 977. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.81 times -21983?\nAnswer: -17806.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -16*z**2 - 47*z + 17. Let u(c) = -7*c + 6*c**2 + c - c**2 - 6 + 22*c. Let p(r) = -6*n(r) - 17*u(r). Find the second derivative of p(t) wrt t.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbnbarb. Give prob of picking 1 b and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -159 - 91512\nAnswer: -91671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 plus 2?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 106 = -4*a, -2*a + 16 = -a + 5*s. Suppose -a*v + 396 = -23*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - (-121)\/2)*-4. Let d = t + 410. Suppose x = m + 3*x - d, 0 = -2*m + 4*x + 352. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131303112 (base 4) to base 14\nAnswer: -326b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 2:52 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -54\/5 (b) 1\/8 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 133*w**2 - w + 20. Let n(f) = -930*f**2 + 7*f - 132. Give 27*k(c) + 4*n(c).\nAnswer: -129*c**2 + c + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/25114 and 97\/528260.\nAnswer: 15319540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 5*b**2 + 6*b + 2. Let c be x(6). Suppose -4*v - v + 10 = 0. Find the second derivative of -c*n**2 + 0*n + v*n - 4*n wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**4 + 14*b**3 + 86*b**2 - 30*b.\nAnswer: -2*b*(b - 5)*(b + 3)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136032377.\nAnswer: 13, 10464029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 74 - 74 - 78*r**5 + (2*r**2 - 4 + 4)*(-1 + 1 - 2*r**3) - 2*r**5 + 2*r**5 + 2*r**5.\nAnswer: -80*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3031 = 4*r - z, -192 = -3*r - z + 2076. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + ((-5 + sqrt(4608)*3)*-2)**2*3 + 2.\nAnswer: -17280*sqrt(2) + 497963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17920636?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.447 - -78.847. What is r rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - 6\/(-2) - -7. Let f(b) = 3 - d*b - 4*b + 3*b - 4. What is the units digit of f(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -24, 3, 14, -0.1 in increasing order.\nAnswer: -24, -0.1, 0.2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3215?\nAnswer: 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v + v)*(11*v**3 + 6*v**4 - 11*v**3) + (-v**2 + 5*v**2 - 3*v**2)*(-4*v**3 - v**3 + 2*v**3) - v**5 + 5*v**5 - 3*v**5 - v**5 + 0*v**5 - v**5.\nAnswer: -10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0) + 5 + -2 + -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 12:47 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*b + 5 = 0, -2*h + 2*b + 35 = h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/2200710 and 37\/9536410.\nAnswer: 28609230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**4\/12 + 3*d**3\/2 + d**2 - 2*d - 40. Let x(n) = 2*n**2 + 10*n + 2. Determine -3*c(f) + 2*x(f).\nAnswer: f**2 - 7*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - (14 + -3 - 6). Suppose -2*t + g = -5*f + 21, 3*t = 3*f - 6. Solve -3*p - f*b + 24 = 0, 3*p + 2*b - 13 = 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*5\/((-30)\/96). Suppose 26*w + 36 = i*w. Solve c = -5*p + 25, -17 = 2*p + c - w*c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**7\/2520 - u**5\/12 - 14*u**2. Let w(a) be the third derivative of d(a). Let s(o) = 4*o**2 + 2 - 2. Give w(s(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.45 (b) -0.051 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/37 (b) 0.029 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7018227 divided by 5\nAnswer: 7018227\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 70*d = -3*a + 65*d - 7, 5*a = -0*a + 3*d - 23 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 401*p + 3122. Calculate s(-8).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1059.6 - -1169. What is g rounded to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (8 - 0)) + 14413 + -14423?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1011*h - 763 = -13*w + 1025*h, -h = -3*w - 3*h + 197 for w.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16846 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 82990, 83105, 83314, 83617, 84014?\n\"Answer: 47*g**2 - 26*g + 82969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 8:39 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28454, -56906, -85358, -113810, -142262?\nAnswer: -170714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) -4 (c) 3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*1 + -1 + 175\/35. Let x(a) = -2*a - 2*a**t - 4*a**2 - 10*a**3 + 2 + 2*a**3 + 6*a**3. Give x(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x**(-2))))\/x)\/(x**(-2)*x)*x*x*x\/x**1*x**(2\/9)*(x\/((x*(x**2*x)\/x*x)\/x)*x**(2\/11))\/(x*x**(3\/5)*x*x*x\/(x\/((x**5\/x)\/x))) assuming x is positive.\nAnswer: x**(-3562\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.3996412 - -15.4. Round h to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0661144 to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -17*(-1)\/6 + (-272)\/204. Let m = 1084 + -5438\/5. Put a, m, 0.1, -5 in descending order.\nAnswer: a, 0.1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1652 rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/19432 and -10\/551383?\nAnswer: 4411064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 282149181*p**3 - 1222098253.\nAnswer: 846447543*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x**3 + 2*x**2 + 5*x + 6. Suppose o - 5*j + 3 + 5 = 0, 0 = -3*o + 2*j - 11. Let y(n) = -n**3 - n - 1. Calculate o*y(i) - t(i).\nAnswer: -3*i**3 - 2*i**2 - 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 90 = 0, -5*c + 9*s - 3580 + 3727 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (195631\/(-1328) - -147)*(-16)\/(-6).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5449960 (b) -0.17 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9561901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 61, -3\/38, -25?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrcbukbrkkkbrbkk. Give prob of sequence bbr.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100.11 + 100. Sort q, -0.5, 1\/13, -3 in descending order.\nAnswer: 1\/13, q, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h + 68. Suppose -2 = x - 4. Suppose -4*s + h = x*g, 3*s = 2*g - g - 22. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 4*s + 4*s)*(-51 + 51 - 9*s**2).\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.018*-716\nAnswer: 12.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, v: 2}. What is prob of picking 1 p and 1 v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32874 + 32920.9984. Let d = -47 + v. Round d to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4714*o + 4714*o + 63*o**3 - 3*o**3 + 5*o**3 - 3*o + 4*o + (15*o**3 + 4*o**3 - 6*o**3)*(0 + 1 - 2).\nAnswer: 52*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29658.75mm to kilometers.\nAnswer: 0.02965875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -1 - 3. Suppose m + 8 = -3*g. Let w = 8 + g. Solve -z = -0*z + w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) 68 (b) 0.4 (c) 4\/33 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 180 - 8*h + 180 + 6*h. Let f(m) = -7182*m**2. Calculate g(f(s)).\nAnswer: 7182*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60880 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*k - 83*k - 33*k - 5928 = 0. Let w be 114 + 0 + (1 - 0). Is k > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 4) to base 6\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.25 + -3.16. What is u rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 12 + 4 = 0, -r + 66*i - 37*i - 33*i = 4 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -784 divided by -566\nAnswer: 392\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t**2 + 241*t - 16. Let q(m) = -2*m**2 - m + 4. Calculate o(j) + 4*q(j).\nAnswer: -j**2 + 237*j","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/(-14)*(-20)\/(-112)*16.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2517, -5022, -7525, -10026?\nAnswer: -12525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxosyoxxos. Give prob of picking 3 x and 1 y.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1806.\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -560*k + 3345. What is p(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1637610*x**4 + x**2 + 47192*x - 4 wrt x.\nAnswer: 39302640*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/1636449 + -22916831854\/47457021. Let p = 483 + b. Is p greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 2572.\nAnswer: 3\/1286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 6*r**2 + r - 7. Determine c(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4776, 9551, 14324, 19095, 23864, 28631?\n\"Answer: -a**2 + 4778*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12516*w**2 + 4*w - 4*w + 1875*w**2 - 7835*w**2.\nAnswer: -18476*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 1440 + 1443 = 5*w, -3*j - 9 = -4*w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 25*s**2 + 46*s + 23. What is the remainder when v(23) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.85218393 rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqqly. Give prob of sequence yyql.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*v + 6*v + y, -2*v = 2*y - 10. Solve z = -v*z - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 99672498 + 3?\nAnswer: 99672501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*b**3 + 93*b**3 + b**4 - 187 + 57*b**3 + 190 as c*b**3 + g*b**2 + w*b**4 + a + t*b and give c.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/3*352\/240. Are 4 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -314*t. Let f(j) = 18198*j**2. What is g(f(i))?\nAnswer: -5714172*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 4851?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 27060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38*1 - (-298214)\/(-7854).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 73105 times 0.1\nAnswer: 7310.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**4 - 2*q**3 + 6*q**2 + 2*q - 1. Let v(z) = -z**4 + 2*z**3 - 5*z**2 - 2*z + 1. Let k(l) = 5*r(l) + 6*v(l). Factor k(d).\nAnswer: -(d - 1)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6542*n = 6551*n + 144 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(sqrt(288)*-2 + -3).\nAnswer: -96*sqrt(2) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5260361322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103036 is divided by 3030.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b**4\/19 + 194*b**3\/19 + 60*b**2\/19 - 128*b\/19 = 0. What is b?\nAnswer: -32, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*q = -67*q - 2*x + 186, -4*x = -q + 51. What is the remainder when 352 is divided by q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1520302316.\nAnswer: 2, 13, 17, 1719799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 9*n. Let b(o) = 17299*o. What is v(b(c))?\nAnswer: 155691*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 3. Suppose -3*t - 2*u + 10 - 3 = 0, 5*t = -u + 21. Suppose 0 = -t*k + k. Which is smaller: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1814 + -21352?\nAnswer: -23266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 8:27 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*d - 48*d = 6*d + 136*d - 13776 for d.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b07ae (base 15) to base 2.\nAnswer: 111111011001010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - -8. Suppose -2*g + y = -0*g. Is 13 a factor of (-2)\/(-3*g\/585)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) 432 (c) -1.62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -5) + (5 - 3) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 4*v + 16, 16 = 9193*r - 9193*r + 8*v for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -5*r + 29, 4*j + 86 = 5*r + 43 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 - 18*r**2 - r + 15. Let j(h) = -5*h**3 - 37*h**2 - 2*h + 30. Let o(v) = -14*i(v) + 6*j(v). Let o(s) = 0. What is s?\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*h**3 - 282*h**3 - 157*h**3.\nAnswer: -515*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -4. Let v be w\/(-45)*-5 + -1*3. Solve n - 16 = -5*u, -2*n + 2*u = -0 + v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.57? (a) -0.5 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4610269121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587 is divided by 199?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -203*k**2*w**3 + 2*k**2 - 11 wrt w.\nAnswer: -609*k**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21685 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 8*q - 3. Let a be l(6). Suppose 8 + 1 = -a*w. Is -154 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/56 or 2\/35?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 465914261.011278 and 2.\nAnswer: 465914263.011278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3410303 (base 10) in base 15?\nAnswer: -4756d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2413.767 months to millennia.\nAnswer: 0.20114725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 138712 - -3?\nAnswer: 138715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/15 of a week?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p - 11. Suppose 0 = -9*x - 20 + 14 - 21. Give d(x).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/(-35) - 582\/112 and 99\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 2. Let r be g(3). Suppose 0 = 5*z - 5*y - 5, -y - 5 = -r*z - 4. Suppose z*h - 17 = -h. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -7. Which is the closest to 0.1? (a) h (b) 3 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 925604 is divided by 924184.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 16*u + 17. Let q = 11 + -26. What is the lowest common multiple of 14 and l(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = -4*l + 20, 0 = 5*l + 5*z - 10. Solve -15 = -3*f, 2*d + l*f - 13 = 6*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 158 and 139196.4?\nAnswer: 139038.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (4 - 0) - -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 1 + 2*j - 4*j**3 + 0*j + 0. Let x(r) = 11*r**3 - 3*r + 4. Let i(f) = -7*h(f) - 2*x(f). Suppose -2*k = 4*d - 3*k, -d + 11 = -3*k. Determine i(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-138)\/(-1035) - 6730\/(-150).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595691 at least as big as 595731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*v - 23*v - 485*v - 241*v + 62*v to c*v + r and give c.\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -3, -7032, 267.\nAnswer: -7032, -20, -3, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1615 and -1?\nAnswer: -1615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 60326*s - 18 = -60325*s, o - 80 = -14*s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((210\/25)\/(-3))\/((-7)\/(-35)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuwwwuwuuqw. What is prob of picking 2 w and 1 u?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19346191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 17529 = -3*o - 4566, 0 = -o - l + 4325. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 102112?\nAnswer: -102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k - 11*k**2 + 0*k**2 + 7*k**2 - 3*k**2 in the form n*k**2 + u*k + r and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 184988 and 1796.\nAnswer: 184988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(r**4 - r**4 + 5*r**4) + (-4*r + 4*r + r**3)*(-2 + 2 + 2*r) + 2*r**4 - 4*r**4 + 3*r**4.\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 11595?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9, 1, -9, -21, -35, -51?\n\"Answer: -d**2 - 5*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 19 - 5 - 4*n - 3.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104.43 - -104. Let q = 348.43 + -347. Let l = t + q. Which is the fourth biggest value? (a) 2\/7 (b) 0.4 (c) l (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**6\/6 + 2*v**5\/15 - 7*v**3\/3 - 4*v**2. Let u(b) = 7*b**3 - 3*b**2 + 5. Let i = -38233 + 38236. Calculate i*h(t) + 8*u(t).\nAnswer: -4*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (156\/2)\/(-2) - (12 - 9). Let u = c + 48. Let i be 4 - u - (-4 - (1 - -1)). Solve i*b = 2*b + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.76 - -90.76. Let h = -88.73 + y. Which is the second biggest value? (a) 0 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/7 (b) -1\/8 (c) 258 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + 30. What is the remainder when l is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, r: 1, k: 2, m: 4, q: 6, e: 3}. Give prob of picking 2 e.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -1. Let f = -20538 + 20538.4. Which is the nearest to -1? (a) f (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 230825070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 7:44 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -479+-0.3\nAnswer: -479.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57560916 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-16)\/12)*-5)\/(6\/8)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-3) - 1)*(-2415)\/230?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.24, 1\/4, 1, -2, 5 in increasing order.\nAnswer: -7, -2, 0.24, 1\/4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x**2 + 14*x - 40. Let w be y(4). Let c = 184 - w. What is the least common multiple of 18 and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47 or -65454?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/(-9))\/(6\/18). Let k(d) be the first derivative of 3\/5*d**5 + 0*d + 0*d**4 - m + 3\/2*d**2 + 0*d**3. What is the second derivative of k(q) wrt q?\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 912 is divided by 245.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 + 5*f + 4. Calculate y(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 14. Let t(s) = 19*s**2 - 2*s - 1. Let z be t(a). Suppose 6*i - 11*i + z = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74587482*c**4 - 147365917*c**2.\nAnswer: -1790099568*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -222266 - -393705. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (6 + -4) - -9 - (213 - 221).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 7*d + 2. Let n be j(-6). Let a = n + 155. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 + h**2 - 6*h**2 + 10*h**2 - 6*h**2 + 9*h**2 + (-2*h**2 + h - h)*(-1 + 2 - 2) - h**2 + 2 - 2 + 6*h**2 - h**2 - 3*h**2)*(18*h**3 + 30 - 30).\nAnswer: 270*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-13)\/(78\/(-90)). Let u be (-7)\/(21\/(-5)) - (-10)\/w. Solve 1 = -l - u*f + f, 2*l - f = -5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {z: 1, f: 2, y: 7}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 2*o + 24, -3*j + 0*o + o = -16. Suppose 0 = -j*g + v + 58, -2*v = 4*g + 2*v - 48. 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: What is (-18 + -10 - -41) + -45 - 19?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 1:03 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -32. Solve g + 2*g = 4*i - u, 4*g - 8 = -i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22246230.\nAnswer: 2, 3, 5, 741541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.11591 - -0.08591. Which is the smallest value? (a) l (b) -509 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d + 20 = 62 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.29585cm in micrometers?\nAnswer: 872958.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -315560, -314630, -313074, -310886, -308060, -304590, -300470?\n\"Answer: u**3 + 307*u**2 + 2*u - 315870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221010020102 (base 3) in base 13?\nAnswer: 29bc37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -38*m + 721. Let w be b(19). Is w at least as big as 411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2107626194?\nAnswer: 2, 523, 2014939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 13 - 7 = 0. What is the second smallest value in 1\/4, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2222)\/(-2460) + 690\/(-828) and 41\/10.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 * 0.0451\nAnswer: -1.2628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, i: 3}. Give prob of picking 2 i and 1 h.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - p + 20 = 0, 4*s - 5*p - 700 = -777 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 7*w - 3. Let c be j(-6). Let g(s) = -s**2 + 29*s - 102. Let d be g(14). Determine i so that -d + 23*i + 135 + i - c*i**2 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Let j be (-1)\/o*(-2 + -7). Suppose -z + 4*z + j = 3*p, -2*z = 5*p - 19. Which is the third biggest value? (a) 0.3 (b) 2\/13 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 54 = -2*d - 22, -5*k + 38 = 2*d. Suppose k*w = w. What is w rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 3*d - 8, -26*d = 32*d + 5*g - 252 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 989787.9 years to months.\nAnswer: 11877454.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 202*q**2 + 309 + 208*q**2 - 407*q**2 + 205.\nAnswer: 3*q**2 + 2*q + 514","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + u**2 - u + 22. Does 22 divide f(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + 58 - 58 - 18*h to the form s*h**2 + d + b*h and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 54.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06388 to four dps.\nAnswer: -0.0639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 5:33 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 20 = -4*a, 42*s + 10 = 2*a + 41*s. Sort 68, -4, a, 3, 1 in descending order.\nAnswer: 68, a, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**4 - 2*n**4 + 2*n**4 + (-178 + 178 - 97*n)*(-2*n**3 + 0 + 0) to the form r + h*n + t*n**3 + u*n**4 + z*n**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120 - 392 - 97)*(1 + 2*q - 1) + q - q - q + (4 - 2 + 0)*(q - 2*q - q) + 3*q - 5*q + 4*q.\nAnswer: -741*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3766 + -3747. Which is the third smallest value? (a) -1\/2 (b) -3\/8 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-24 - -16 - -7)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - y + 1. Let p be r(3). Suppose 13 = 2*c - p. What is the remainder when 29 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5*b + 3)*(0 - 1 + 5)*(-2*b - 2*b + 6*b) to o + y*b**2 + z*b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 671 and 859002.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4649, 9365, 14083, 18803, 23525, 28249, 32975?\nAnswer: 37703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(2*m**5 - m**5 + m**5) - 7*m**5 - 21*m**3 + 21*m**3.\nAnswer: -9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4590, -4595, -4600, -4605, -4610?\nAnswer: -4615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6042, -753, 13600, 41547, 87618, 156343, 252252?\n\"Answer: 755*v**3 + 2*v**2 - 2*v - 6797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*b - 6*b - 2*b + 22*b.\nAnswer: 53*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.5396 rounded to one decimal place?\nAnswer: 15.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 131562 = 3*m, -4*m = -h - 205255 + 29839. Is -2*m\/(-36)*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 + 5*z**3 - 4*z**3 - 15*z**4 + 6*z**4 - 20*z**2 in the form a*z**4 + p*z + c*z**2 + k*z**3 + n and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(5 + -41)*5*(-2)\/(-5). Find p such that -u*p + 7\/4*p**5 + 9\/4*p**4 - 5\/4*p**3 - 9\/4*p**2 + 0 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 4 + -21 + 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, -5, 1, -7 in descending order.\nAnswer: 10, 1, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -204834, -204834, -204828, -204810, -204774, -204714, -204624, -204498?\n\"Answer: l**3 - 3*l**2 + 2*l - 204834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5812, 46501, 156928, 371959, 726460, 1255297?\n\"Answer: 5811*w**3 + 3*w**2 + 3*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21872.\nAnswer: 2, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2. Let p(k) = 7*k - 43. Let c(r) = 21*r - 145. Let z(q) = 2*c(q) - 7*p(q). Give z(f(u)).\nAnswer: -21*u**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 3 - 12. Let g be (-44)\/(-3)*2*(-9)\/12. Let q be (10\/55 + 4\/g)*-1. Solve q = -3*s + 1 + j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 11*b**4 - 25*b**3\/3 - b**2 + 5257*b - 3965. Find the first derivative of a(f) wrt f.\nAnswer: 132*f**2 - 50*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-6)*(-20766)\/3461?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12968*t = 12609*t - 6462 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m + 16. Let r(n) = -63 + 245 - 53 - 66 - 62. Determine h(g) - 6*r(g).\nAnswer: -3*g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + 0 + 0)**2 + sqrt(567) + 5 + ((sqrt(567)*-3 - sqrt(567))*2 - sqrt(567))**2*-3 + 2.\nAnswer: -137207 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322 = 2*f + 2*d, -d + 321 = 2*f + 2*d. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*c**4 + 2*c + 2 + 49*c**2 - 17*c**3 + 27*c**2 - 77*c**2 in the form t + m*c**3 + q*c**4 + s*c**2 + d*c and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.028 + 164.028. Let k = 167.85 - p. Let m = k + -3.2. What is m rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*d**2 + 6*d**3 - 36*d + 0*d**2 + 2 - 11*d**2 to the form t*d**3 + u + o*d**2 + k*d and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. What is the second biggest value in -3, b, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 8:13 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4403.55611772 - 4390.85612. Let c = p + -12.7. Round c to 7 decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-16))\/(2\/6))\/((-365)\/(-292))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from foffffofffofffofff. Give prob of sequence fof.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39152 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.9, -4300?\nAnswer: -4300","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 2. Let m be k(2). Let a be -1 + 21\/(m + -1). Solve 4*d - 16 = -2*v + a*v, 4*d = 2*v + 14 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + ((-399)\/(-38) + -9 - (-8 + -2))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 43 - (1 + -5 - (0 + 4)) - 10\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/(n**(2\/7)\/n))\/n)\/(n\/(n*n*n**(1\/6)\/n))*n\/(n**(2\/3)\/n)*n**4*n)**(3\/4) assuming n is positive.\nAnswer: n**(345\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-21 - -54 - 3).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u - 3. Let n be r(2). Let k(h) = n + 2*h - 11 + 3*h. Let v(a) = 2*a. What is v(k(w))?\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20594.9088 and -33.\nAnswer: -20627.9088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 792 divided by 66\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32, 106, 230, 404?\n\"Answer: 25*c**2 - c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32201 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.1 + -9.1142. Let a = r - -0.022. Round a to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1820\/3 - (-10)\/(-15). Let y be k\/10 + (-20)\/(-50). Let b = 63 - y. Solve 1 = o - b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600277780 rounded to the nearest 100000?\nAnswer: 1600300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**4\/4 - 47*g - 33. Let q(j) be the first derivative of l(j). Let b(h) = 69*h. What is b(q(s))?\nAnswer: -207*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5540*p. Let v(c) = -5*c + 187. Calculate o(v(x)).\nAnswer: -27700*x + 1035980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, -2, -9992, -18\/13?\nAnswer: -9992","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37831?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 + -114. Let b = -21 - 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 p(x) = -x**2 - 18*x + 36. Calculate p(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16818965843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109 + -106. Solve -5*l = -x*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -4, -0.4, 2, 74.7, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4022*b + 140703. What is t(35)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 4*a - 3. Let k be u(-3). Let t = k + 3. Solve -x = t*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 343*a**6\/24 + a**5\/12 - 1461*a**2. Find the third derivative of l(u) wrt u.\nAnswer: 10290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -96 - 14. Let x = n - -217\/2. Which is smaller: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98 + 274 - 86 + 170)*(-6*l + l + 4*l).\nAnswer: -456*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(52))*-1.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 6, n - 2*w = 2*n + 2. Suppose 3*c - 7*c = n*y - 20, -c = -3*y - 5. Suppose c*m - 18 - 2 = 0. What is the third smallest value in m, -3, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614159838.\nAnswer: 2, 3, 19, 1097, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 0 - 2*c + 0. Let s(i) = -3*i. Let u = -1 - -9. Let o be (-8)\/4 + -3*1. Give o*s(h) + u*j(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l + 3*l + 3*l + l. Let a(g) = -2*g. Determine 14*a(m) + 6*d(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 362147 divided by -429\nAnswer: -362147\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1459*h**4 + h**3 - 6879*h?\nAnswer: 17508*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760 = -685*l - 647*l + 1292*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 + 2. Let o(z) = 6*z**2 - 3*z - 11. Let r(v) = -23*v**2 + 13*v + 45. Let k(a) = 9*o(a) + 2*r(a). Give 2*k(x) + 9*q(x).\nAnswer: -2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2506568 is divided by 49.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 + 42*x**2 - 12*x - 176. What is b(20)?\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 + -467\/5. Sort 3\/4, -0.2, p in increasing order.\nAnswer: p, -0.2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 5*k**2 + 54*k + 33. Determine b(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 287151943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-57 - 2) - (-9 - -35 - 25)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 16*c**2 + 6*c. Let h = 662 + -656. Let n(k) = 14*k**2 + 5*k. Let z(x) = h*n(x) - 5*j(x). Let i(u) = 4*u. Give z(i(q)).\nAnswer: 64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-27)\/21 - 162114\/(-46130)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Suppose -2*u - 4*v = 8, t = -3*u - 0*v - 4*v - 8. Suppose 3*o - 78 = -u*o + 3*b, 104 = 4*o + 3*b. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10051723*c + 834929 wrt c?\nAnswer: -10051723","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -334\/7 + 48. Let w = 28 + -26. Which is the closest to o? (a) w (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -14, 4701, -1 in descending order.\nAnswer: 4701, -1, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}