diff --git "a/data/dm_maths/full_data_1/10916_11255.jsonl" "b/data/dm_maths/full_data_1/10916_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10916_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let a(f) = -f**2 - 12*f - 5. Let j be a(-9). What is j rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 + 24579*j**3 + 73710*j**2.\nAnswer: 3*j**2*(j + 3)*(j + 8190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = -2*y + 6*r - 3*r, 3*y = -5*r + 279. Suppose t = 3*t - y. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -831.6 - -831.5996501. What is n rounded to 5 dps?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3967427 by -200.\nAnswer: -3967427\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1720 and 6048810.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 8*x + 4. Let g be b(8). Let k = -69 - -71. Suppose 36*v - 342 = -k*v. Solve 2*s - q = 3*s, 5*s + v = g*q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 61.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zumqqlmmmuaz. What is prob of sequence za?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 5*j**3\/6 - j**2\/2 - j. Let s(o) = -o - 2. Let r be s(-4). Is i(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*q + 36 = -q, 2*k + q = -9. Let p(f) = 6*f**2 + 10*f + 7. Let o be p(k). Calculate the highest common divisor of 21 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-5) - 24\/(-10). Suppose -2*n - n = -2*p + 99, p - 47 = 2*n. Suppose -p + 13 = -o*g. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(76))*-5 + 3 - (1 + (sqrt(76) - (-1 + (sqrt(76) - sqrt(76)*2))) + -2))**2.\nAnswer: -224*sqrt(19) + 3788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 - 16 = 0. Let f = -59\/1320 - -1\/330. Let h = -17\/24 + f. Which is the nearest to 1\/4? (a) h (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i. Let f(a) = 6*a**2 + 3*a + 3. Let d = 60 - 66. Let y(g) = 11*g**2 + 5*g + 5. Let s(x) = d*y(x) + 10*f(x). Determine s(l(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.0157*-2.1\nAnswer: -0.03297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.7 - 2. Let t = 4 - 3.6. What is the smallest value in -5, v, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*((-259)\/(-555) + (-4)\/30). What is the nearest to -5 in -5, s, 2, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-21)\/84)\/(6\/32))\/(5852\/(-210) + 29)?\nAnswer: -20\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/84*0)\/(1\/(-1)). Solve 8*n - 4*n - 12 = g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -3*r + 5*c + 345, 2*c - 191 = -r. Let t = r + -553\/3. Factor 0 - t*u**2 - 4\/3*u.\nAnswer: -2*u*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/12 and 8 + (-15 - -2) - (-526)\/120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(700) + 1 - ((sqrt(567) - (sqrt(567) + 3 - sqrt(567))) + 4)**2.\nAnswer: -570 - 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-2) + (-3 - 27 - 8610\/(-210))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2462368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 5, -4 in increasing order.\nAnswer: -5, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1745.9 - 1672. Let z = -74 + i. Let s = 5 + -5.4. Which is the smallest value? (a) z (b) s (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 1:33 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35 - 13156600?\nAnswer: -13156576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 207617 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65050.\nAnswer: 2, 5, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19982, 19971, 19960, 19949?\n\"Answer: -11*x + 19993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s + 11. Let w be a(5). Let k be (10\/6)\/(w\/(-12)). Let x(t) = -t - 6. Let i(j) = -3*j - 12. Let z(f) = 2*i(f) - 5*x(f). Calculate z(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8090?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/5)\/((-21)\/28). Let i = 53 - 53. Let w be -2 - i - 0\/(-3 - 2). Is w less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.038 + 13. Let l(r) = 1551*r + 26366. Let h be l(-17). Which is smaller: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35\/62 - 2\/31. Let c be -2 + 2 + 2\/(-14). What is the second biggest value in u, c, -5\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25\/66 + 5\/11. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 2235.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 20 = 2*c - 7*c, -u + 4*c - 16 = 0. Find r, given that 0 + 2\/3*r + u*r**3 - 1\/3*r**4 + r**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3587*a - 7249. Let h(v) = -3552*v + 7248. Let p(g) = -7*h(g) - 8*q(g). Differentiate p(f) with respect to f.\nAnswer: -3832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (101 - 91) + -3 + (-5 - (-4 + -2)) + -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r + 1. Let b be s(0). What is the derivative of 13 - 18*k + 7 - 20*k + b wrt k?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(147)*5))**2.\nAnswer: 1\/245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 453.13 to the nearest ten.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 924\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 - 3)*(7*c - c - 3*c + 4*c - 4*c + c - 5*c + 4*c - c - c - 3*c + 3*c + (2 + 1 - 1)*(3*c - 2*c + 0*c) - 2*c - 3*c + 3*c + 4*c - 5*c - c).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v - 4*v - 18 + 19. Let j be a(7). Let q(y) = y - 2. Determine q(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 10 - 3*j - 64 + 21 - 7*j + 21. Let r(z) = 2*z**2. What is s(r(l))?\nAnswer: -20*l**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 434 - 4*z**4 - 6*z - 434 wrt z.\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 250962 and 0.718?\nAnswer: 180190.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -0.29.\nAnswer: 3.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2247 and 34391833.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -677 - -1175?\nAnswer: 5a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/3 (b) -38873368 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (6 - (0 + -1)) + 25. Let y be ((-30)\/(-8))\/((-9)\/(-336)). Let c be (y\/6)\/(2\/6). What is the greatest common divisor of c and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.562 - -0.262. Let j = 0.056 + 12.944. Let s = j + o. What is the second biggest value in -2\/15, s, 2\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 507 - 38.73\nAnswer: 468.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14 (b) -935 (c) 2\/19 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**5\/3 + 29*u**4\/3 - 758*u**3\/3 + 4136*u**2\/3 - 512*u\/3 - 24064\/3 = 0.\nAnswer: -47, -2, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12804 divided by 4?\nAnswer: 3201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 118806274\nAnswer: -118806271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 220*u**2 + 2800*u + 8000.\nAnswer: 5*(u + 4)*(u + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) 187983 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**2 - c**2 - 6*c**3 - c + 5 + 4*c**2. Let x(m) = 4 + 2 - m - m**2 - 6*m**3 - m**3. Let g(s) = -6*j(s) + 5*x(s). Give g(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 23*a + 8. Let q be 4\/((-12)\/(-30) - 32\/30). Let u(y) = -y**2 - 5*y + 10. Let k be u(q). What is the hundreds digit of v(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20853 - 13187. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5935\/46277749 + 3\/6979. Let l = g + -331568\/59679. What is the common denominator of l and (-4)\/48*285\/(-2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 58 + 57. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -11*p**3 - 20*p**2 + 6*p - 25. Let y(g) = 7*g**3 + 13*g**2 - 4*g + 16. Let c(m) = -5*q(m) - 8*y(m). What is the units digit of c(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvi when three letters picked without replacement from {v: 2, i: 4, z: 10}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160a4a (base 15) to base 6.\nAnswer: 34500341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2dc7 (base 15) in base 13?\nAnswer: -4648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 44*u**2 + 648*u + 2031. Determine b(-10).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*(414\/27 + -6)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(21\/12) + 1. Suppose j*t = t + 12. Let q(i) = i + 10 - 6 - 15*i**t + 7*i**2 + 16*i**3. Determine q(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 433*g - 1566*g. Factor g - 27\/10*x**2 - 1\/2*x**3 - x.\nAnswer: -x*(x + 5)*(5*x + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 534669623?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 34155.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*s - 28, -6*s = 2*o - 3*s + 9. Suppose 3*q - o*d = 285 + 339, -609 = -3*q - 2*d. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*m - 192 = 0, 17 = 2*i + m - 65. Suppose 5*j - i - 2 = 0. Suppose g + 7 = -g + 5*r, -3*r = -j. Solve g*k - 3*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 4:05 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/(-15) + 4\/6. Let v = -0.3 - -0.5. Let l = -105 + 104. Which is the nearest to -2? (a) v (b) l (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1392 and 200332?\nAnswer: 2403984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19672*l - 19695*l = -92. Let f = -1 + 1.4. Which is the closest to f? (a) 0.2 (b) 4\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/140 and 83\/2184?\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*r**3*w**2 - 257*r**3*w + r**2*w**2 - 16957*r*w**2 wrt r.\nAnswer: 36*w**2 - 1542*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.89 in 7, 0.3, 5, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 3, a: 9}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -159\/8852 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*y*z + 2*a**2*y + 26*a**2*z - 44*a**2 - 2*a*y - 23*a - 8*z wrt a.\nAnswer: 4*y*z + 4*y + 52*z - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*b = -4, b + b = 4*k + 8. Is 19 a factor of -3 + 102*-1*1\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 2 + (-8 - -7) + 5548. Is 5552 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -11, -3, -46?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1666267853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*a - 163*a - 159*a + 480*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (-2)\/(-4))*0. Suppose -25 = -u*g + 5*g. Let m = -59 - -61. Put g, -3, m in decreasing order.\nAnswer: m, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.422423mm to meters.\nAnswer: 0.006422423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*y + 270, 3*y = -y - 3*r + 282. List the prime factors of y.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 5*p**2 - 5*p + 1. Let d be k(-2). What is the smallest common multiple of -1*d*(0 - -34) and 9?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = p - 1. Suppose 4*r - q - 17 = -2*q, r = q + 8. Let b = r - p. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -2 + (sqrt(560)*-2)\/(-2*sqrt(320)))*2)**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49397\/26 - -1899. What is the common denominator of v and 31\/116?\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lobbbobllllb. What is prob of sequence obbb?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 0, 10, 44, 114, 232?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6771 and 1221.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 6:11 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (17\/(-5) - -1)*5. Let b be 488\/9 - s\/(-54). Let h = -36 + b. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 196 - -356. Let o be (-2 - 0)\/(-1) - g\/(-4). What is the highest common factor of 56 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 - 2*s**2 + 5. Let x(y) = 6*y + 72. Let f be x(-11). Let c(b) = -2 - 4 + 1 + f. Calculate -6*c(u) + p(u).\nAnswer: 2*u**3 - 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 100989*r - 100986.\nAnswer: -3*(r + 1)*(r + 33662)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*j*m**3*u - 6*j*m**2*u + 1392*j*m*u + m**3*u - 102*m**3 wrt m?\nAnswer: -144*j*u + 6*u - 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -26, -10, 5\/4 in descending order.\nAnswer: 5\/4, 1, -3, -10, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 192 in decreasing order.\nAnswer: 192, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-52) + (-168)\/(-78). Suppose -279 - 177 = -z*l. Calculate the remainder when l is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 - 67 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*i**5 - 2076*i**4 - 10*i**3 - 6739539*i.\nAnswer: -620*i**3 - 24912*i**2 - 60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1\/5 (c) 0.8 (d) -4787 (e) -120\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 1632*c + 1764*c - 4250*c - 1 in the form z*c + n and give z.\nAnswer: -854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6319 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261761 is divided by 13776.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13120 and 42438608.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*n - n**2 + 59*n - 3*n**3 in the form x*n**2 + f*n + w + j*n**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 413 and 84494431?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2*1\/6)\/(6\/18 + 0). Sort 2, -5, 30, k in decreasing order.\nAnswer: 30, 2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 - i**3 + i**3)*(-384*i - i**2 + 35*i - i**2).\nAnswer: -6*i**5 - 1047*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 - 22 = 11*h. Let w(s) = 3*s**2 - 13*s - 21. Does 5 divide w(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 197 - 192. Suppose z*r - 2*q = 9*r - 34, 5*q = 4*r - 27. Solve -r + 33 = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/7 - 1999842*z\/7 - 9999260\/7.\nAnswer: 2*(z - 999926)*(z + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -185 - -741\/4. Let d = 777\/38 + -18\/19. Let h = d - 19. Which is the closest to f? (a) h (b) 3 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 1\/2*h**3 + 0 - h**2 - 1\/20*h**5 + 2*h - 1\/6*h**4. Give x(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -35*r - 47. Let i be 8\/(-16) - 15\/10. Calculate the remainder when 112 is divided by c(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - p = 2*p - 14, -3*p + 16 = 4*n. Let x(l) = -2*l - 19. Calculate the least common multiple of x(-11) and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/3)\/((4*(-4)\/4)\/((-240)\/(-300)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44021\/1986 - 1\/993. Let m = 153201\/16 - 9572. Calculate the common denominator of m and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*t - 268262 = -56*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22*(-290)\/(-5104))\/(10\/416).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -107, -0.3 in increasing order.\nAnswer: -107, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50084, -50091, -50104, -50123?\nAnswer: -50148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**6\/60 + 3*n**5\/20 - 7*n**2\/2 - 1. Let l(f) be the second derivative of s(f). What is the third derivative of l(i) wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 2090050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (1 - 4 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 - -758. What are the prime factors of z?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.14397 - 75.047.\nAnswer: -74.90303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(19\/4)*k*k*k\/(k**26\/k))\/(k*k*k**(1\/16)*k*k**(3\/29)) assuming k is positive.\nAnswer: k**(-9009\/464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51.1 - 40.1. What is the nearest to 0 in v, 2, 6\/13, -4?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9999992 + -2. Let m = 0.4 + -0.4. Let g = n - m. What is g rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/38, -0.5, 1 in increasing order.\nAnswer: -0.5, -3\/38, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(153) + -2*(-2*sqrt(153) - sqrt(153)) + sqrt(153))*-2)\/((sqrt(45)\/(sqrt(20)\/sqrt(4)) - sqrt(9) - (sqrt(144)*2 + sqrt(144)))*-5).\nAnswer: -16*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5 - 105 = 0. Let w(o) = -o**2 - o + o + 140 - k. Is w(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2187698 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 749, 683, 581, 449, 293, 119?\n\"Answer: j**3 - 24*j**2 - j + 773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -9. Let f be (q\/(-6) + 3)*-2. Suppose -f*n + 606 = 4*d - 245, 4*n - 229 = -d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5712\/(-11968)*16\/(-7).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times 75.8?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46433 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -219812222.23621 - 2?\nAnswer: -219812224.23621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -215421837*a**2*y + 166387*a**2 + a*y - 58*a - 2*y with respect to y.\nAnswer: -215421837*a**2 + a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2295 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 14, n: 1}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126043.\nAnswer: 241, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 26 + 70 = 0. Let i be (-5241)\/(-9) - 8\/x. Let h = 1835 - i. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v + 55. What is l(12)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 1. Let v(p) = -5*p**3 + 6. Let t(j) = 6*m(j) + v(j). Give t(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 179, 375, 569, 761, 951?\n\"Answer: -d**2 + 199*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 814210199?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -317*c**3 - 6. Let u(r) = -315*r**3 - 7. Give -7*a(g) + 6*u(g).\nAnswer: 329*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -61 + 31 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/3 - 43*j**2\/6 - 115*j\/6 - 13\/3.\nAnswer: (j - 13)*(j + 2)*(4*j + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4568393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 4 (b) -1.18 (c) 13 (d) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 475 divide 544427453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8.533 * -10\nAnswer: 85.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*o - 14, 2 = r + 7*o - 8*o. Suppose -36 + 12 = -r*z. What is the least common multiple of 22 and z?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvkkbkbbvvv. Give prob of sequence vk.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 - 41. Let z(y) = 3*y**3 - 11*y**2 - 3*y - 4. Let m be z(4). Calculate the common denominator of -19\/18 and (-3)\/12 - (m + (-182)\/a).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-6)*15)\/(2\/(-4)). Suppose -5*z + l = 5*y, 6*z - z = y - 15. What is the remainder when 47 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaaq. What is prob of sequence aa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1261 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 224238965 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2259 = -q + 15, -2*q + f = -4527. Let z = 4076 - q. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*c - 298 + 118. Put 7, c, 4, 2 in descending order.\nAnswer: 7, c, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 + 4\/6. Let f be 43\/(2795\/26)*(-15)\/48. Is f at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*r + 47, -r + 0*t = -3*t - 14. Let w(b) = -3*b + 24. Let d be w(7). Suppose 170 = -l + d*l. Calculate the greatest common divisor of l and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 4*y - y)*(-y + y + 2*y) - 3*y + 258*y**2 - 62*y**2 + 3*y + 1650*y**2.\nAnswer: 1844*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -9931473622 and 4.\nAnswer: -9931473618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3518447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -157807?\nAnswer: -15780c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28416157?\nAnswer: 7, 11, 41, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 854693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27265?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 75990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**2 - 306*w - 863. Determine q(-47).\nAnswer: 2474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*9\/24*(-26)\/39?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1 + -2. Let y(l) = -l**3 + 5*l**2 - 3*l - 4. Let f be y(4). Which is the nearest to f? (a) -1 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*w - 11 = -6*w, 5*w = -3*g + 17. Let i = -58 + 98. Suppose i = g*k - 2*t - 12, k = 5*t + 4. What is the smallest common multiple of k and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2239, -4483, -6727, -8971?\n\"Answer: -2244*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - -16226?\nAnswer: 16234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23940649616 + -23940670112.053991. Let r = u - -20514.054. Let c = -18 + r. Round c to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a9 - 20b34?\nAnswer: -20bdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*(-10)\/25. Let v = 2.5 + -3. Suppose 5*p - 1 = 24. What is the second biggest value in v, p, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1304*d**2 - 164*d - 1 wrt d?\nAnswer: -2608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 5 - 7 - 39*n**3.\nAnswer: -39*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -51 times -63.165\nAnswer: 3221.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(312) + (sqrt(312) + (sqrt(312) - (sqrt(312) + 3*sqrt(312) + sqrt(312))))*-4)\/sqrt(8))\/((sqrt(300) - (sqrt(300)*-2 - sqrt(300))*-6)*-2))**2.\nAnswer: 2197\/28900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) + 10\/4. Suppose -h*d + 20 = -0*d. Calculate the remainder when d is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 - 7*i**2 - 66*i + 59. Calculate u(5).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121899?\nAnswer: 3, 179, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 10*j**2 + 3*j - 2. Let t be v(11). Let c be ((-2)\/(-6))\/((-5)\/t). Suppose -c*p + 190 = -p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -103\/5, -1, -2, -112\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - 2*w**3 + 2*w**3)*(10 + 13 - 3).\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -30 + (-26)\/((-104)\/44). Suppose -3*f + 8*f = 10. Put 5, f, g in decreasing order.\nAnswer: 5, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 at most 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1219 + 1255. Solve -10*z = 26 - r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(2 + (-93)\/6). Let v be (-1)\/3 - 18\/n. Which is the smallest value? (a) v (b) 2\/3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19964 + 19963.937146. Round c to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/7170919 and -19\/1652?\nAnswer: 28683676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 55. Let x = r - -56. Suppose m + m - 5*q - x = 0, -4*m - 2*q = -38. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2529 is divided by 843.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 0*r = 9*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -2.6.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.28. Let q = -0.28 - d. Let n be 16\/9 - (-22)\/99. Which is the closest to n? (a) q (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (39\/4)\/((-8)\/576). What is u rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 726 and 35211.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - y**3 + 4 - 6*y**2 + 5*y**2 + 0*y**2.\nAnswer: -(y - 1)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1260 bigger than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 11.7 (b) -1 (c) -2\/7 (d) -12499\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 5 + 2)*(-1 + 2 + 0) + (0 + 4 - 2)*(1 - 2 + 3))*(3*q + q**3 - 3*q)*(-1 - 1 - 10).\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**4\/12 + 8*s**3 + 6*s**2 + 3. What are the prime factors of a(10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 + i**2 + 102*i**4 - 3*i**3 + 89*i**4 - 293*i**4 + 97*i**4 - i in the form h + r*i**4 + x*i**2 + k*i + w*i**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o + 3. Let s be u(0). Suppose h = -n + 9, -1 - 6 = -n - s*h. Calculate the lowest common multiple of 8 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1911703 + -1206912. Suppose -2*q + 4*o = -2099996, -345208 = -q + o + r. Round q to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5*2)\/1 - -2. Suppose 4*f + 3*n = 23 - 7, -3*f + n + w = 0. Suppose 0 = 5*x + 2*q - 10, 0 = 4*x - 3*q + f*q - 5. Is x greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 35 - 23 - 4522*h + 4521*h. Give o(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 + 83. Let k = -23.9 + m. What is the closest to k in 2, -4, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1113 is divided by 840.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -502, -604, -680, -724, -730, -692?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 45, -3, -11, -1072?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31095614 + -0.227.\nAnswer: -31095614.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/79 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 213710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 22 in ascending order.\nAnswer: -2, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 121?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7*r + 23. Let w be d(0). Which is smaller: 164\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 12 + 8 = 0. Suppose -c*f + 0*t = -3*t + 10, -2*t = -f - 9. What is the units digit of f*-1 - (-3 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - -0.3. Let r = 428\/5 + -85. Let f = -3 + 2.9. What is the biggest value in f, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131201331 + 4?\nAnswer: -131201322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 72*s**2 - 66*s + 517. Let v be u(-73). Suppose 0 = 2*q + b - 1 - 8, -2*b = -6. Solve f - q = -v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16153373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12566? (a) -0.2 (b) -0.146 (c) 2\/13 (d) -3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1154917*x**2 - 23262 - 577461*x**2 - 577454*x**2 to the form o + n*x**2 + p*x and give o.\nAnswer: -23262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422667699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8159257.99 - -71129.99. Let b = g + 8088734.9287. Let i = b - 607. Round i to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5490 and 54900.\nAnswer: 54900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 66\/18 + (5 + 3 - 12). Let v be 8\/(-5) - (-4)\/2. Which is smaller: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1349 + 87?\nAnswer: -1292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 1. Let f be ((-2)\/(-1) - 2) + 0. Suppose 0 = -f*y + 3*y. Let o be k(y). Which is bigger: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, l: 10, b: 4, i: 1}. Give prob of sequence lil.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*v**3 - 18*v**2 + 10 - 892*v - 44 + 24 + 10 wrt v.\nAnswer: -78*v - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 198 + 322 = 4*z, -115 = -z - 4*k. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) -3 (c) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 3*s - 13. Let d be z(-6). Let f be (-6)\/((-5)\/(-5)) - 3. Put -5, f, d in increasing order.\nAnswer: f, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 102\/4*(-16)\/(-6). Suppose n = -8*g + 12*g. Factor -81 + 18*w - 33*w**2 + g*w**2 + 15*w**2.\nAnswer: -(w - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2424065 (base 7) in base 10?\nAnswer: -308747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/2))**(-7)*((z\/z**(1\/3)*z)\/z*z)\/((z\/(z**(2\/19)\/z))\/z*z))\/((z\/(z*z**2))**6\/(z**(-2\/9))**(-36)) assuming z is positive.\nAnswer: z**(2653\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 653.8595 minutes to milliseconds.\nAnswer: 39231570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.202148 to two dps.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17.6 and 7?\nAnswer: 10.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 11:25 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1052 - 1052 - 575*a as r + q*a and give q.\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t*t**(3\/8)*t))\/t)\/t)**(5\/4)\/(t*t**(1\/10)*t**(-2\/53)\/t))**(5\/4) assuming t is positive.\nAnswer: t**(-36303\/6784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6430*y**2 + 85249 - 85249)*(4 + y - 4) as f + d*y**2 + s*y + r*y**3 and give r.\nAnswer: -6430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kukiiuuikkii. Give prob of sequence kkk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5) + -8 + 16 - (-2 + 6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2772693061 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4299250407 to the power of 1\/5, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*s - 2*s. Let g = s - -8. Let m be 99\/360 + (-2)\/(-16). What is the smallest value in 5, g, m, 0.03?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (6 - 1) + 94\/8. Let d(p) = 16*p**3 + 3*p**2 - 3*p + 1. Let o be d(1). Which is smaller: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/5 - (-3324)\/60?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76.3 + 83. What is k rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 346 + -331. Solve -12*g = -7*g - c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 11*n - 431. What is y(39)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 250 - 247. Find the first derivative of 35*v**3 + 48*v - 67 + 6*v**g - 48*v wrt v.\nAnswer: 123*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(500) + (-1 + sqrt(500))*1 + -2 + -2)**2.\nAnswer: 100*sqrt(5) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 0*y - 6*y)*(-y + 3*y + 0*y - y - 4*y + 0*y + (3*y + 2*y - 3*y)*(-3 + 1 + 4)) in the form v*y**2 + a*y + x and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.6958499 centimeters?\nAnswer: 0.000006958499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (7 - 4))*0. Let d be q\/(-2)*12\/12. Suppose d*o = -3*o. Solve -5*x + 10 - 30 = o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 91 - 36?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38912 divided by -256.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 1, g: 4, k: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(500)*4))\/(sqrt(24)\/(1*sqrt(576))).\nAnswer: 3*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6439, -6445, -6461, -6487, -6523, -6569?\nAnswer: -6625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 382 - 374 = 2*t. Suppose -t*s - 71 = 3*w, -w + 67 = -5*s + 2. Are s and -11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298585733.\nAnswer: 298585733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.4 + -1.6. Which is the biggest value? (a) y (b) 0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 1, 39, 1181?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 221, 341, 461, 581, 701?\nAnswer: 821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 13*k - 44. Let f be j(5). Which is smaller: 19 or f?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y. Suppose y*h = 2*h - 2. Calculate the greatest common factor of 7 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12578736 and 12578736?\nAnswer: 12578736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 5:06 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 - 2*o**4 + o**4)*(-6*o - 2*o + o) - 22*o + 22*o + o**5 - 1.\nAnswer: 15*o**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 66327789449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) 1 (c) -112 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/20 of a millisecond?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -13116786 less than or equal to -13116787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66910 is divided by 881?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-10 - -1) + (-70 + 1 - (-6 - 7)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339567514 + i**2 + 49*i - 339567514.\nAnswer: i**2 + 49*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 4*g + g**2)*(0*g + 3*g + 0*g) - 2889*g**3 - 4282*g**3 - 3322*g**3.\nAnswer: -10490*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/5928 and -68\/117.\nAnswer: 17784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqpp when four letters picked without replacement from {p: 3, q: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/16 at most -34069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 22 = -0*u. Let w = -12 - u. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9623443?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 76.54028 meters?\nAnswer: 76540.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 245939634 to the nearest integer?\nAnswer: 15682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13562775*j**3*k + 4*j**3 - 6*j**2 - 68*j + 58 wrt k?\nAnswer: -13562775*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 9:44 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 245*g**4*s - 39*g**3 + 1197*g*s - 5*s wrt g?\nAnswer: 2940*g**2*s - 234*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - 3 + 3)*(0*q**3 + 0*q**3 - 2*q**3) + 2*q**5 - q**5 + 0*q**5 - 3*q**4 + 8*q**5 + 79*q**2 - 79*q**2.\nAnswer: 11*q**5 - 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0423 * -0.5.\nAnswer: 0.02115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 - (-2 + 3 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 41.88. Let w = i - -18.88. Let x = w + -19.99. Put 0, 2\/7, 0.6, x in decreasing order.\nAnswer: 0.6, 2\/7, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) -0.4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4666926 (base 10) to base 6.\nAnswer: -244010050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 21*l - 25. Determine h(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b**3 + b**2 + 4*b + 4. Let o(i) = -4*i**3 + i**2 + 4*i + 2. Determine -2*j(f) + 3*o(f).\nAnswer: -4*f**3 + f**2 + 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3512400834?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 48 - (-19 - -30 - 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5270*o + 5260*o + 200990000 = 0. Round o to the nearest 100000.\nAnswer: 20100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52685337 divided by 173879\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63703 + 31851 + 31852 - 11*o.\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 - 119*y - 587. Does 50 divide q(117)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 10 = -y. Suppose -y*c + 68 = -147. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 - 79.7. Let i = 6 - n. Which is the third smallest value? (a) i (b) -1\/2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5898792.3 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - -2 - (-318)\/(-102). Which is the closest to -1? (a) 96 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2880 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 3*z**2 - z. Let y(p) = -7*p - 5. Let d(s) = -3*s - 2. Let g(l) = 5*d(l) - 2*y(l). Let u be g(3). Let n be b(u). Solve -1 = n*t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = a - 18 - 21, -3*j = 3*a - 39. Suppose -7*l - j + 69 = 0. Solve 28 = -3*r + 5*i, -3*r - l = -3*i + 2*i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-4 + 1 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24546.062 + -24573. Let t = j + -0.062. Let l = -20 - t. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, k: 4, y: 7, u: 1}. Give prob of picking 2 k and 1 u.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 140407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 5*v - 1. Let c be b(5). Find the second derivative of -49*w**2 + c*w**2 + 4*w - 8*w**4 wrt w.\nAnswer: -96*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w - 8. Let j be y(-8). Let k = j - 6. Suppose q + k*a - a = -1, q - 4*a = 14. Solve -1 = -3*n - n - 3*s, q*n + 1 = -3*s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*n**2 - 74 - 70 - 40 + 184 - 112*n**2.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f**3 - 26*f**3 + 61*f**3 + 28*f + 34*f**2 + 3*f**4 + 8 = 0. Calculate f.\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8375722 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*m - 5*m, 0 = -3*s - 5*m. Let u(t) = -3*t - 24 + 22 + s*t. Let b be u(15). What is the greatest common divisor of b and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 35 = 3*u. Let l = u - 206\/9. Let h(j) = 2*j**3 + 12*j**2 - j - 5. Let i be h(-6). Which is greater: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 45.000052. Round s to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49.689 - -0.489. Let m = 32.1 + d. What is m rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w - 58. Give p(-12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1393 + 1620. What is the highest common factor of c and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 738324 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18585 and 1008.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h + 11. Let y be l(3). Suppose 0 = -n - k - 2*k - 13, -3*n - 11 = y*k. Which is the nearest to n? (a) -0.3 (b) 2\/9 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 0. Put 5\/3, g, -0.1 in descending order.\nAnswer: g, 5\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 8:27 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 237*i**3*z**3 + 2*i**2*z**3 - 3*i**2*z - 29*i*z**3 wrt i.\nAnswer: 1422*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*z**2 - 8*z**2 - 23*z**2 - 59*z**2 + 3*z**2 - 15*z**2.\nAnswer: -75*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -644*w - 491*w**2 + 2*w**3 + 493*w**2 + 604*w - 2*w**4 + 1 to k + l*w**2 + g*w**3 + y*w + j*w**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37913, 39588, 44133, 52982, 67569, 89328?\n\"Answer: 239*w**3 + w**2 - w + 37674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342148.\nAnswer: 2, 23, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.3391 - -5.5779. What is w rounded to 1 decimal place?\nAnswer: 24.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -n - 3, -4*n + 3*q = -4 + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nniknpl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3025107*v**3 - 10191309*v.\nAnswer: -18150642*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1690600 divided by 395\nAnswer: 4280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 9. Let a(g) be the third derivative of g**4\/24 - g**3\/6 + 92*g**2. Let w(q) = -a(q) + j(q). Determine w(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3487498*a + 16. Let v be l(8). What is v rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 103 + 4*j - 103 + 37*j as u + l*j and give l.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4\/4 - (-6 - -6) and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -241 + -3?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 934 less than or equal to 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151 - 154 - ((-67472)\/24 + (-4)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(52)\/(sqrt(48)\/(sqrt(12) + sqrt(12) + sqrt(12)*1)).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5220 + 5219. What is the nearest to 2 in -2\/9, -2, n, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -4 - 4 - (0 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 9\/5 (c) -3\/5 (d) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120942086 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by ((-4)\/2 + -7)*(-2)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1652917677 to the nearest integer?\nAnswer: 40656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*j - 23, j - 2*g = 3*j - 6. Suppose 0 = -j*t + 1 + 15. Calculate the remainder when 55 is divided by (2 - t)\/(2\/(-19)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9836 (base 10) to base 9.\nAnswer: 14438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/23)\/w*w\/w**5 assuming w is positive.\nAnswer: w**(-111\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8094200 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63430158.\nAnswer: 2, 3, 11, 961063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v**4 + 3603*v**3 - 35250*v**2 + 91275*v - 14250 = 0. Calculate v.\nAnswer: 1\/6, 5, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.8 - -2. Let h = 443 + -442.801. Let n = a - h. What is n rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*s**3 + 10*s**2 + 1 - 3*s**2 + s + 30*s**3 to the form n*s**2 + w*s**3 + a + i*s and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 + 0*o**4 + 3*o**4)*(-312 + 299 - 311 + (-3 + 6 - 2)*(0 + 3 - 4) + 3 - 2 + 1) - 5*o**4 - 2*o**4 - 2*o**4 + 2*o**4 + 3 - 3.\nAnswer: -330*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 792 + -797. Let d(k) = -32*k**2 - 5. Let n(i) = -18*i**2 - 3. Let x(o) = q*n(o) + 3*d(o). Let j(u) = u. Give x(j(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 3*w + 61, 0 = 5*n - 0*n + 5*w - 90. Solve 0 = -4*t - 3*m - 17, -4*t + 4*m = m + n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1395, -1512, -1715, -2010, -2403, -2900?\nAnswer: -3507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (45\/30)\/(1\/332). Suppose 562 - v = 8*p. What is the remainder when 15 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 1. Suppose 5*a + 4*o + 50 - 20 = 0, 11 = 2*a - 3*o. Let i be z(a). Let n = 1.5 - 2. What is the third biggest value in -2\/7, i, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 971416.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68793443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 7) to base 3\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12d (base 16) to base 14\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*z - 0*r + 22, -z = -r - 6. Suppose -4*q + 5 = -3. Solve q*x + 5 + z = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1540.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = -b, 40*k - 39*k = 4*b. Put k, -6, 7 in descending order.\nAnswer: 7, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01856593125 to five decimal places.\nAnswer: 0.01857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + i + 1. Let o(h) = -3*h + 3. Let v be o(-1). Let k(p) = p**3 - 6*p**2 + 5*p + 4. What is v*j(s) - k(s)?\nAnswer: -s**3 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*n**4 - 3343*n**2 + 5527*n + 3?\nAnswer: -96*n**2 - 6686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4273, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**5\/4 - 45*w**4 + 1467*w**3\/4 + 10029*w**2\/2 + 15021*w + 13662 = 0. What is w?\nAnswer: -3, -2, 22, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1, -0.01813, 1\/27, -5?\nAnswer: -0.01813","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**6\/27 - 2*b**5\/45 + b**4\/6 + 10*b**3\/27 + 2*b**2\/9 + 13. Let d(m) = 0. What is m?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/(-217))\/(3\/7)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 336*x**3 + x - 10*x**2 + x**4 + 346*x**3 + x**2 in the form p*x**3 + d*x**2 + s*x + b + m*x**4 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-3)\/5) - (-4)\/6. Let l(m) = 5*m**3 + m + 1. Give l(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/1200 - 49\/10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(320)*1)**2)*2.\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (3 + (1 - 1) - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x. Let q(a) = 3*a. Let s = -40 + 37. Let i be (-94)\/(-14) + (-2)\/(-7). Calculate i*q(u) + s*l(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 556543333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8024 = 22*g - 1128. Calculate the lowest common multiple of g and 78.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1137 by -6879.\nAnswer: 379\/2293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1586 - 7?\nAnswer: 157a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6432534\/181 at most as big as 35539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 12*y**2 + 11*y + 16. Let h be v(13). Let u = h - -24. Calculate the remainder when 67 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -0.2. Let j = -7.6 + 4.4. Let o = -3.4 - j. Which is the nearest to o? (a) 5 (b) t (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z**4 + 1212 - 2*z**4 + 15*z - 1214 - z**3 - 2*z**2 in the form n*z**3 + l*z**2 + a*z**4 + v + t*z and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2330 - 2126. What are the prime factors of o?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1892 - -1897. Solve x + 4*v + 28 = 6*x, -u*x + 18 = v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6, -9, 4\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from zzzzzzzzjzzzzzzzqzzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbwqbqqbqbqbwqqbbbb. Give prob of sequence ww.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - -5) + 3*6\/2. Suppose -6*s + 268 = -2*s. Let f = s - n. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 15*v + 132. Let a be r(-6). Suppose -9*o = -a*b - 7*o + 800, -396 = -3*b - 3*o. Which is smaller: 267\/2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 3.3, -3\/5, 0.23?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 765 divided by -5.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from sibbsyibbqbqsbbbbsq?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109 + -101. Suppose 4*o = -v + 43, -5*o + l = -7. Let a(s) = s**3 - 4*s**2 + 5*s - 4. What is the remainder when v is divided by a(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t**2 - t**2 - 2*t**2)*(5 - 224072*t**2 - 224216*t**2 + 448055*t**2 - 3*t) as b + n*t**4 + l*t**2 + k*t**3 + c*t and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 512834*f - 13794*f + 114199*f.\nAnswer: 613239*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(13) + -4)*-1 - 3*sqrt(325)))**2.\nAnswer: -512*sqrt(13) + 13376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -s - s. Let p be ((-10)\/(-6) - 3)*s. Calculate the highest common divisor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5528 a factor of 1034653648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/2166780 and -103\/3960.\nAnswer: 13000680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(1*sqrt(12))*-1 + 2.\nAnswer: -sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w = -330 + 938. Suppose y - 32 + 20 = 0. What is the remainder when 706*3\/24 + (-3)\/y is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10692, -25570, -40448, -55326, -70204?\n\"Answer: -14878*t + 4186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5728523.\nAnswer: 5728523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*s + 34*s - 190. Suppose v - 3 = -2*v. Sort v, 18, s, -4 in decreasing order.\nAnswer: 18, s, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**2. Let t(z) = -8 + 5*z**2 - 755*z + 8 + 743*z. Determine m(t(p)).\nAnswer: -75*p**4 + 360*p**3 - 432*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(0 + -2)*(-121)\/((-192995)\/(-58))?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11049898?\nAnswer: 2, 17, 324997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a + -3d61a76?\nAnswer: -3d61a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6379\/(-9) - ((-220)\/(-99) + -2). Let z = t + 81532\/115. Is z not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, k: 3}. Give prob of sequence kok.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 52*f + 0 - 9 - 1 to h + a*f and give a.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 + 14*n + 21*n + 35*n.\nAnswer: 3*n**3 + 70*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5557.669 litres in millilitres?\nAnswer: 5557669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -121238.1 rounded to the nearest one thousand?\nAnswer: -121000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(108) - (-1*sqrt(108) + 5))*-2)**2 - -5*(2*((sqrt(108)*1)**2 + sqrt(108)) - -2*(0 + sqrt(108))).\nAnswer: -6232 + 2040*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y**2 - 10*y = 0.\nAnswer: -10\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 1:44 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 54729, 109513, 164297?\n\"Answer: 54784*y - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14281, 28485, 42689, 56893?\n\"Answer: 14204*u + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8232 to 2 decimal places.\nAnswer: -0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*(sqrt(363) + -3*sqrt(363))*-5)**2*5.\nAnswer: -19800*sqrt(3) + 6534045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 g when three letters picked without replacement from {y: 2, k: 2, g: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -785740000 to the nearest 1000000.\nAnswer: -786000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1296174001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21304127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 3*d + 9, 12*d = 16*d - v + 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/11)\/(f\/(f\/(f*f\/(f\/f**(4\/7))*f)))*(f**(1\/2)*f)**12 assuming f is positive.\nAnswer: f**(1174\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 428 and 428 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/638 and -45\/116?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 13*d - 9882. Let b = d + 575. Suppose 33 = 2*q + h, 4*h = -4*q - 0*h + 68. Calculate the lowest common multiple of b and q.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 440426686 divided by 70322\nAnswer: 6263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16893 + -16889. Sort 1\/3, -156, -3, v.\nAnswer: -156, -3, 1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -563159, -1126316, -1689473, -2252630, -2815787, -3378944?\n\"Answer: -563157*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/43820 and 79\/14.\nAnswer: 43820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 297 - 292. Suppose -81 = t*d - 8*d. Solve -24*v = -d*v - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5951407 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**4 + 172*p**3 - 2248*p**2 + 6800*p - 6048 = 0?\nAnswer: -54, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h*m**2 - 19*h*m - h + 1261235*m**2 - 709*m + 53 wrt m.\nAnswer: 6*h + 2522470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4 = -0*a. Suppose 2 = 3*k - a*k. Suppose v + k*u = 1, -2*v + 27 = 3*v - u. Solve v*w + 16 = 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 321301222033 (base 4) to base 5\nAnswer: 12334124430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -94843553309+-0.05\nAnswer: -94843553309.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 358719?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*h**2*o**3 - h**2*o**2 - 1530*h**2*o + h**2 + 19*h*o**3 wrt o.\nAnswer: -246*h**2*o - 2*h**2 + 114*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21076*c = -14712*c - 171828 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 2048620.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18844*v**4 + 6*v**2 - 3996*v.\nAnswer: 452256*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28, 70, 112?\n\"Answer: 42*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10012*j**4 - 3*j**3 - 79*j**2 - 2675307 wrt j.\nAnswer: -40048*j**3 - 9*j**2 - 158*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(76)\/(sqrt(400)*2 - sqrt(400))*-3.\nAnswer: 3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 11 + 4. Suppose 10 = 2*o - 2*l, -u*o - 5*l = -2*o + 13. Solve 5*q = -c + o*q - 3, 3*q - 12 = 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 7:45 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 8*z**3 - 48*z**2 - 3*z - 6. Is m(20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*l = 80, 3*l = r + 4*r - 102. Which is smaller: r or 19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 6, -8 = 5*w - 0*w - 4*f. Let d = -1478.4 - -1480.4. Sort -1\/7, d, 0.3, w in descending order.\nAnswer: d, 0.3, -1\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 - 6\/(-5).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**2 - 6418*r - 63680 = 0.\nAnswer: -6368\/5, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -20425*j + 3. Let i(x) = -20474*x + 4. Give -3*i(f) + 4*n(f).\nAnswer: -20278*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/1541 + -57027\/7705. Let q = 22 + -21. Calculate the common denominator of (q + 0)*(-275)\/20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 876616 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 4*r - o - 2, -5*o = 3*r + 10. Let d(h) be the first derivative of r*h**3 - h**2 - 3 + 0*h + 1\/2*h**4. Suppose d(m) = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 42837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/225*-10 - 3\/(-27). Which is the closest to w? (a) -1\/7 (b) -0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376133.\nAnswer: 376133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrx when three letters picked without replacement from xjjrrrjrrj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 1. Let b = 0 - 2. Let y(f) be the second derivative of f**3\/6 + 3*f**2 + 3*f. Calculate b*y(l) + 10*h(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.4 - 4.4. Let p = 1 + -4. Which is the nearest to 1\/4? (a) -0.2 (b) w (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -4. Let d = u - -8. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(128) + -5 + (1 + sqrt(128))**2 + 3).\nAnswer: 96*sqrt(2) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13546 (base 11) to base 16\nAnswer: -4b59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3790 divided by -758?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2372 (b) 1\/6 (c) -40 (d) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1232930 is divided by 80.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**4 - 49*q**3 - 10*q**2 + 68*q - 959876 with respect to q.\nAnswer: -8*q**3 - 147*q**2 - 20*q + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1335424 + -1809\nAnswer: 1333615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -54523602 (base 7) to base 3\nAnswer: -22210200122210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2 + 5*f - 2. What is m(5)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 311376846.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.9328074377 + 1.9.\nAnswer: 6.8328074377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2 + 3*f - 4. Let t be j(1). Which is the closest to -0.1? (a) 7 (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*z**2 - 3*z - 251.\nAnswer: -20*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -a592a72?\nAnswer: -a592a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18629 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c**(-21)))**(5\/2)\/((c\/(c**(-3)\/c)*c)\/c**(-1\/5)) assuming c is positive.\nAnswer: c**(219\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 15*a + 18. Let w(i) = i - 8. Let r be w(-3). List the prime factors of g(r).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -165\/7 equal to 1829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2781755.653 rounded to the nearest 10000?\nAnswer: 2780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360 divided by 272?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4 - -8.4. Let k = f - 7.2. Do 0 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 12:49 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000308003 to six dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*i - i + 227, -5*q = i - 289. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -14. Sort b, 5, 1 in decreasing order.\nAnswer: 5, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - c + 90. Let n be q(-12). List the prime factors of 1 + n\/24 - (-1903)\/4.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/5, -14156, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 11. Let y(t) = 23*t**2 + 65*t**3 + 7 - 66*t**3 - 9*t**2. What is the least common multiple of y(14) and c(0)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98*m**4*o**2 - 2*m**4 + 3*m*o + 6*o**2 + 2*o wrt m?\nAnswer: 1176*m**2*o**2 - 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/5 (b) -5\/6 (c) 1\/3 (d) -2616 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is b56 (base 14) in base 11?\nAnswer: 174a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111221100210112 + 12?\nAnswer: -1111221100210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -132890, -132889, -132888?\n\"Answer: n - 132891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -854 + 6458 = 583*z - 1392. Solve -3*v = z, -5*g + 2*v = -9*g - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14127, -28264, -42413, -56580, -70771?\n\"Answer: -t**3 - 14130*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2187751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/3))**(-4\/43))**(-10) assuming t is positive.\nAnswer: t**(160\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**5 - 2155*t**4 + 25315*t**3 - 73145*t**2 - 76320*t + 377100 = 0.\nAnswer: -2, 3, 5, 6, 419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01486 - 53.98486. Let z = r + 54. Which is the closest to z? (a) 0 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 x when four letters picked without replacement from {u: 2, x: 9, r: 6}?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - n + 0*n + 21 = 0, 2*i - 2*n - 14 = 0. Suppose 5*a + u - 12 = 0, -i + 3 = -a - u. Solve 12 = 4*d + 3*f - 8*f, a*f + 10 = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zncnnznczhc. What is prob of picking 1 n and 2 c?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6156 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - g + 17 = 4, -5*b + 35 = -5*g. Let x be 2 - ((-2 - 1) + 2). Let r(u) = -12 + x - u + 2*u. Calculate r(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-3))\/((-2*(-322)\/(-1656))\/(6\/20)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n\/(n**(-3\/7)*n*n)*n)\/n)**(-25\/3)*(n**(-2\/9))**(-17\/5))**37)**(-2\/15) assuming n is positive.\nAnswer: n**(65638\/4725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 29 + 351. Let c = 79 + w. Let b(g) = -2*g**3 + g + 3. Let r(x) = -x**3 + x**2 + x + 2. Calculate c*r(m) - 2*b(m).\nAnswer: m**3 + 3*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6203 - -43423\/7. Let y(d) be the first derivative of -12 - 4\/7*d + x*d**3 - 1\/7*d**2. Factor y(p).\nAnswer: 2*(p - 1)*(3*p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 9. What is the second smallest value in 0.4, 0.1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/21*-2)\/(712\/(-4984)). Let l be (-1)\/(-2) - 34\/14. Is l greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 12:08 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/277 + -8647\/4155. Let h = -5\/3 - i. Factor -h*f**2 + 0*f**3 + 0*f + 1\/5*f**4 + 1\/5.\nAnswer: (f - 1)**2*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**5\/7 - 54*u**4\/7 - 460*u**3 - 22248*u**2\/7 + 25520*u\/7 = 0.\nAnswer: -22, -10, 0, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of -4 - ((-10)\/5 - 63)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/(-5))\/(-9))\/((-18)\/(-15)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -50. Let k = v + -15.000069. What is k rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -575593.61 to the nearest one hundred.\nAnswer: -575600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 48 = o. Suppose -3*h + 6*h - o = 0. Solve 0 = -h*b - 0*b - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 62*c**2 - 55*c - 512. Give q(63).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdclh. What is prob of sequence hd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 833448*x - 210219408.\nAnswer: 3*(x - 278068)*(x + 252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3772, 7590, 11452, 15364, 19332, 23362, 27460, 31632?\nAnswer: 35884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -26. Solve 2*f = 6 + n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*o - 17, 4*o - 2*o + 4 = -2*x. Let i = -4 - -9. Suppose -8*s + i = -35. Sort 4, s, o in descending order.\nAnswer: s, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73233 is divided by 359?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3015 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 909 is divided by 116?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-402309)\/24)\/3 + 1. Let x = l + 5579. What is the common denominator of x and 59\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + (15 - (2 + -2))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 41 + 3. Suppose 12*l + 35 = n*l. Suppose l*v + 13 = 18. Calculate the least common multiple of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192 + -326 + 133 + 0 + -4 - (-43 + 1).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Let l be (-11)\/4 - o\/(-4). Put 2, l, -4 in decreasing order.\nAnswer: 2, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24000 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.1, 0.1, 17 in descending order.\nAnswer: 17, 0.1, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*a - 8, 3*n + a - 10 = 2*a. Solve -1 + n = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116.9, 1\/2, 5, -0.5, -4 in increasing order.\nAnswer: -116.9, -4, -0.5, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -18. Suppose 4 = -2*o, 4*i + u*o - 110 = 3*o. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -733408 to the nearest 1000.\nAnswer: -733000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 2. Let b be u(5). Determine l so that 40*l**3 - 36*l**b - 4*l - 2*l**4 + 2*l**2 + 0*l = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/24 + (-2)\/(-4). What is the tens digit of v*(0 - 79)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223123 is divided by 12392?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 73\/36 less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1\/(38715\/367612 - 270\/2565)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 772, 764, 742, 700, 632, 532, 394, 212?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**4 + 1552*b**3 - 23528*b wrt b.\nAnswer: -24*b**2 + 9312*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 6, -2*j - 11 = -2*t - 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 a when four letters picked without replacement from kksuaauuaus.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q + 1. Let l be n(-2). Sort -3\/2, l, -1.1 in ascending order.\nAnswer: -3\/2, -1.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11520\/360*316\/128.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.56833 kilograms to milligrams.\nAnswer: 33568330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -47c284 + -1?\nAnswer: -47c285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**6\/120 - f**5\/12 + f**4\/4 + 59*f**2\/2 - 71*f. Let w(j) be the first derivative of o(j). Solve w(d) = 0 for d.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191531 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 6. Suppose 3*r - p*r - 13 = 0. Suppose -r = -h - 2. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -26, -70, -148, -272?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**2 + 146*z - 270. Let a be c(47). Is a at least -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 17. Let l be (-5)\/((-90)\/(-32)) - r. Solve 2\/9 - l*j**2 + 0*j = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p - 3*p + 5728 = 0. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*s + 2*s + 3*s)*(0*s**2 - 2*s**2 + s**2) - 5*s**3 + 4*s**3 + 4*s**3)*(0 + 3 + 6).\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/5 - 44197628*r\/5 - 176790544\/5.\nAnswer: 2*(r - 22098818)*(r + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 423638?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4*4337.1\nAnswer: -17348.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 2*g - 25, 3*g - 25 = -40 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 2*t - 5*x, -t - 12*x + 16*x + 9 = 8*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (7 - (4 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1098042 and 59343?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 9*t**2 + 12*t + 21. Let j be m(-10). Let b = -88\/15 - -63\/10. Let d = b - -1\/6. What is the second biggest value in j, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 9:50 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-120))\/((-1)\/(-3))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 253, 517, 793, 1087, 1405?\n\"Answer: j**3 + 257*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61533 - 61536. Let n = 2 + -1. Which is the closest to n? (a) 2\/3 (b) -1\/5 (c) x (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -50803 (b) -1 (c) -778\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*p + 31 + 53 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*t - 48*t + 11712. Calculate the lowest common multiple of t and 12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**10*u)*u*u**12)\/((u\/(u**5*u))\/((u**(4\/3)*u)\/u)) assuming u is positive.\nAnswer: u**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34079231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c9d + 28?\nAnswer: -c75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*((sqrt(2) - (sqrt(2) + 0)) + 5)**2 + 3.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 631 = 22*s - 14. Calculate the highest common divisor of 2044 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -1, -0.1, 19, 2\/3, 4\/9, 68?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 40*c - 256. What is the remainder when z(16) is divided by 189?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3933801 is divided by 437025.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 73164 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -313*b**3 - 3*b**2 + 17*b + 2. Let x be h(-5). Is x\/12 + (-1)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + -6 - (31 + -33)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -294839777*u**2 - 434155786*u?\nAnswer: -589679554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (16 + 1 - (235 - 239))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**2 - 58708788*o + 58708785 = 0.\nAnswer: 1, 19569595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-847)\/((-4 + -5*(-3)\/5)*1) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1635 and -498.474?\nAnswer: -81.500499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18268 - -18307. Calculate the least common multiple of t and 9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(84\/(-3)) + 21\/12. Suppose 0 = 2*w + g*w - 4*v - 37044, 2*w = -3*v + 18502. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 122 = -5*o. Let n(s) = -62*s**2 + 2*s + 7*s + o*s**2 - 8. Let r be n(7). Let c(t) = t**2 - 6*t - 1. What is c(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 2 = 44. Suppose -3*p + 5*p = -5*u + 17, 3*u = -5*p + 14. Suppose 0 = 3*l + u*t - 744, g*l - l = 3*t + 511. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**3 - 4*a**2 - a + 4. Let d be g(3). Let v = d + 7. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*h - 3*h + y, 94 = -4*h - 5*y. Let v = -12 - h. Suppose -3*f = 9, v = 3*i + 3*f - 4*f. Solve -2*j = -2*b, 4*b - i*j + 4 = -0*j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -865, -4, -1, -10, 1 in descending order.\nAnswer: 2, 1, -1, -2, -4, -10, -865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 227 and 8626?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(-4))\/25*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/(-20))\/13*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57676*a**4 - 19*a**2 + 4*a - 178?\nAnswer: -1384224*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 17363304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -9*b**2 + 27*b - 6. What is c(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16623109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*l - 42 = 148*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 20*x**2 - 76*x + 4. Let w(p) = -5*p**2 + 19*p - 1. Let l(d) = -2*i(d) - 9*w(d). Let n be l(4). Solve 5*b - 2*r + 17 = 2, 5*r = n*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5441*n + 197. What is the units digit of b(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -7. Let u = 0.01 + -2.01. Let j = u - 3. What is the closest to -1 in r, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1\/7 (b) 4769 (c) 3 (d) -65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363549 is divided by 661.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*c**3 - 206.\nAnswer: -222*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.3 + -1.3. Let r(b) = -b + 2. Let k be r(-3). Let z = 0.7621 - 0.2621. What is the second biggest value in z, y, k, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*f = -39 - 9, 2*f = 8. Let m be (1 + 2)*228\/h. Is 19 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.23, 0.064, -2, 3\/5, 0 in descending order.\nAnswer: 3\/5, 0.23, 0.064, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, -10, -21?\n\"Answer: -11*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53.81 + -0.19. Let z = u + 53. What is the nearest to -3 in z, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 59 = 41. Sort q, -5, 4 in decreasing order.\nAnswer: 4, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26278 - -26379. Solve -28*v - n = 123 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + 3*g**3 - 5*g**3)*(-3 + 0 + 2)*(0 - g + 0).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-488*p - 51*p**5 - 490*p + 978*p).\nAnswer: 102*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (-1 - -20))*-19?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 23 + 15 + -35?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 5b69?\nAnswer: -5b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (l - 5*l - l)*(5*l + 2*l - 4*l) + 3*l**2 - 3*l**2 - 3*l**2 as j*l**2 + s + n*l and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*k = 444. Let j = k + 40. What is j rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -3. Let x = -5 + j. Let h be 2\/4 + (-15)\/x. Solve -f + c + 4*c = -7, 2*f - 4*c - h = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1090*r**2 + 3*r + 1. What is g(-1)?\nAnswer: 1088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 - 65*o**2 + 11990*o + 24200.\nAnswer: -5*(o - 44)*(o + 2)*(o + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrrrrrrzrrrrrrrrrrr. What is prob of picking 2 z and 2 r?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -225 != -226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 31*c**2 - 26*c - 459. What is p(32)?\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b - 4. Let p be t(7). Suppose -p - 22 = -8*u. Suppose 5*y + q - 18 = 0, 5*q = y - u*y + 2. Solve -5*m + 5 = -2*s, -3*s - y*m = -m - 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and ((-8 + 143)\/(-5))\/((2 - 6) + 3).\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -910, -920, -944, -988, -1058, -1160, -1300?\nAnswer: -1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -56*s. Let a(f) = 21*f + 11. Suppose -33 = -3*q - 0*q. Let h(t) = -3307 - 3311 - 4*t + 6616. Let z(y) = q*h(y) + 2*a(y). Calculate k(z(b)).\nAnswer: 112*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 665.7 - 666. What is the biggest value in 5, v, -0.6, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 6*x**2 + 5*x. Let d be p(6). Let m(z) = z**3 + 3*z**2 - 4*z. Let q be m(-4). Let o = q + d. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9222 = 7*h + 9264 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -68 in 0.02, -1, 1, 0.21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 11*v + 12*v - 3, -4*v + 7 = 3*x. Calculate the highest common divisor of 5 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286\/(-715) - (332\/(-130) + 2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-186)\/8*28\/(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 63 = 5*g - 3*w, 3*w - 15 = -g. What is the highest common divisor of 156 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(((y**16*y)\/y*y)\/y*y*y)*y)\/y**(-1\/3))**(-42) assuming y is positive.\nAnswer: y**658","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 54*w**3 - 30*w**3 - 25*w**3 - 16 - 6*w**2 + w - 12*w. Suppose 28 = -4*m + 2*i, m - 4*i = 6*m + 35. Does 15 divide s(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*b**2 + 15*b + 4 wrt b?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155*s**3 + 203*s**3 - 269*s**3)*(7*s + 4*s + 6*s) - 2*s**4 - 3*s**4 + 3*s**4.\nAnswer: 1511*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -64726755 - 0.09071?\nAnswer: -64726755.09071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -13. Suppose i*j = 210 - 25. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d**2 - 2287*d + 2 + 467*d - 13*d**2.\nAnswer: 2*d**2 - 1820*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/4*(-24)\/18*(-27)\/((-297)\/(-704))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -29, -4, 1\/5, -544 in descending order.\nAnswer: 23, 1\/5, -4, -29, -544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10*3)\/(2\/4). Suppose c = -c + t. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from {e: 2, o: 1, f: 4, v: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.64261 rounded to two decimal places?\nAnswer: -1.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + -1035611?\nAnswer: -1035563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*n + 2*n + n)*(0 + 3 - 7).\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -7*l**2 + l. Let f(k) = -10*k - 5*k + 28*k - 12*k - 2*k. Calculate q(f(n)).\nAnswer: -7*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636591723.\nAnswer: 3, 23, 67, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7860 or -10?\nAnswer: 7860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 168, 335, 502, 669, 836?\n\"Answer: 167*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2292 and 406620?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q = 8. Suppose -q*o - 20 = -240. Does 18 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**2 - 6*l + 66. Give h(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 7*t - 2. Let w be k(6). Suppose -w*c - 6 = 10, 2*c = 2*y - 12. Solve -3 = y*p - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 12:54 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1085 divided by -7\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.23 - 2.23. What is the closest to 2\/5 in a, 2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 362 + -345. Suppose 0 = m*g - 20*g + 36. Solve 4*a = -9 - 11, g = 2*v - 2*a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -547*l**2 + 3*l**3 - 28*l**3 + 546*l**2.\nAnswer: -25*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**6\/360 - 2*g**5\/15 + 2*g**4 + 20*g**2. Factor j(n).\nAnswer: n*(n - 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 63*h + 4. Calculate s(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -23*o**2 + 43*o + 35. Let q(u) = -14*u**2 + 22*u + 18. Let r(a) = 5*q(a) - 3*v(a). What is r(-12)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -674.921 and 26.\nAnswer: -17547.946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63585 and 857691.\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2211 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -7*n**4\/24 + n**3\/6 - 17*n**2. Suppose -5*u + 9 = -4*j, 0 = j - 4*j - 3*u. What are the prime factors of v(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23852030 divided by -5?\nAnswer: 4770406","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, j: 2, v: 1}. Give prob of sequence jj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 + 9*a**2 - 2*a + 5. Suppose 5*v - 23 = 2*s, -s = -3*v - 4*s + 18. Let h(f) = f**3 - f**2 - 1. Give v*h(l) + p(l).\nAnswer: 3*l**3 + 4*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 36.75. Let f = 1.65 + c. What is the nearest to 40 in 3, 1, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175 and 2170.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4*3*sqrt(343) + 3) + 2)*-2*-5.\nAnswer: 50 + 840*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlrwzrlrrrwwrlwrrww. Give prob of picking 1 l, 2 r, and 1 z.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 - 3*k + 2. Let l be f(1). Suppose 5*g = 2*c + 2*g + 8, -l = 2*g. Which is greater: -6 or c?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2728*k - 5455*k + 1375 + 1290 = -2792*k for k.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 187067805?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 25*k + 215. Let o be i(-7). Let g = -599 + 839. Calculate the greatest common divisor of o and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 8, q: 2, e: 2, x: 1}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 751640 and 688.\nAnswer: 1503280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23618, -46219, -68820, -91421, -114022?\nAnswer: -136623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 3*x**2\/2 - 255*x + 3471. Let s(c) = -5*c**2. What is z(s(u))?\nAnswer: -15*u**2 - 255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**7\/350 - z**6\/100 + 3*z**5\/100 + 9*z**2. Factor o(m).\nAnswer: -3*m**2*(m - 1)*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 69 = -90 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, -2\/45, 0.9?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31123143 to the power of 1\/3, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 39 + 45. Does 4 divide (-246)\/f - ((-10)\/(-14) - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 greater than or equal to -2249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18681 + -18680. Put 1\/5, -15.6, f in descending order.\nAnswer: f, 1\/5, -15.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*(352\/33)\/(-8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -83*g + 859. What are the prime factors of o(-19)?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*f + l, 22*f = 19*f - 4*l - 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 482.203 and 0.4.\nAnswer: 192.8812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 8588\nAnswer: 515.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2680050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 3) + (67 - 81)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 8) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 - 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*j**3 - 2*j**2 - j**2 + 152 - 152 as r + q*j + n*j**2 + w*j**3 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.1 + -10. Suppose 0 = -19*o + 17*o + 8. Which is the closest to -2? (a) -1\/2 (b) o (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 98751486 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + -16915?\nAnswer: -16929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (18 + (16 - 9)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 294113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 12:22 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 46 + -18 + -30.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*m - 56*m - 864 = 0. Let j = 0.3 + 0.2. Which is the third biggest value? (a) j (b) m (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**5\/30 - l**4\/6 + l**3\/3 - 8*l**2. Let n(k) = 0. What is k?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhrrrt. Give prob of sequence tr.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -499, -29141 in descending order.\nAnswer: 5, -499, -29141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x**1*x\/x**(4\/13) assuming x is positive.\nAnswer: x**(48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -6*j + 2*j + 32, -b = -3. Let h be (-4 + 1)*(2 + -3). Suppose 0*l + h*l - 4*q = 78, -j*l - 2*q + 130 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -52. Let p be -4*j\/32 + (-2)\/(-8). Find the third derivative of -11*d**5 - 7*d**2 - 11*d**p + 8*d**5 wrt d.\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 12, j: 3}. Give prob of sequence jjij.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -133 to zero dps.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((5 - 14) + (-9 - 11 - -26)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28*(-20)\/660*-66?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 smaller than 1\/177354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 16 + 89 + -104?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 u when three letters picked without replacement from ugugguuuuugugu.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 4 = -2*f. Let v = f + 8. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007826457 rounded to 5 decimal places?\nAnswer: 0.00783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20579075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -11 (b) 10 (c) -3\/13 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*h - 2*n = -177*h - 179*h + n - 167, -21*h - 4*n + 341 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/8 - 3*s**2 + 14*s = 0. What is s?\nAnswer: -28, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)*-3)\/(sqrt(6)*-2*-6) + -5.\nAnswer: -5 - sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -311*y**5\/5 - y**2\/2 - 2*y + 201. Find the second derivative of d(n) wrt n.\nAnswer: -3732*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3848459 to the power of 1\/2, to the nearest integer?\nAnswer: 1962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1016, -1137, -1340, -1625, -1992?\nAnswer: -2441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 3, -27, 1, 3\/8, 1294?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**4\/6 - 293*h. Let d(y) = -86*y. What is k(d(l))?\nAnswer: -14792*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/210 and -34\/3591.\nAnswer: 35910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 5*v**2 - 4*v - 5. Let x(q) be the third derivative of q**6\/120 - q**5\/15 - q**4\/12 + 2*q**3\/3 + 4*q**2. Let h be x(4). Give i(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**6\/120 + i**5\/6 - 5*i**4\/8 - 5*i**3\/2 + 2*i**2. Does 10 divide m(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.1 (c) -110 (d) 1 (e) -0.93 (f) -5 (g) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -2, -1.\nAnswer: -89, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*6*(3 + -1). Suppose j = 5*j - c. List the prime factors of 4*j\/18*12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-5) - (-84)\/35. Solve -v = -f*v - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1, -55024?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**3 + 25*s**2 + 75*s - 160. Calculate j(-4).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -507 - -518. Let t(i) = 9*i**2 + 10*i - 48. What are the prime factors of t(u)?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 187, 1082, 2589, 4708, 7439, 10782, 14737?\n\"Answer: 306*y**2 - 23*y - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6330 - -6330. Factor -2\/3*t**2 + 4\/3*t**3 + k + 2\/3*t**4 - 4\/3*t.\nAnswer: 2*t*(t - 1)*(t + 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-20))\/(2\/248). Let a = c + -4. What are the prime factors of a?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -152 - 548. Let b = l + 678. What is the nearest to -1 in 4, 1\/3, b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*p + 11983 + 67292, 2*p = -5*a + 79275. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*y - 145*y + 4038 = 351*y. Suppose -j + 5*r - 9 = -303, -2*r = 0. What is the greatest common divisor of j and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 18*d + 15. Let a be x(4). Suppose -a = 4*h - 7*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 798, 793, 786, 777, 766, 753?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + 3*k - 552 + 5*k**3 + 552 to w*k**2 + q*k**3 + c*k + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2794*r**4 + 2*r**3 + 4*r**2 - 778196*r.\nAnswer: -33528*r**2 + 12*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s + 6*s**2 - 8*s)*(38*s + 43 - 43).\nAnswer: 228*s**3 - 304*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2988684 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2765262072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, -3, 4 in ascending order.\nAnswer: -157, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 287a9321?\nAnswer: 287a9325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3\/11, 12, -1\/4 in descending order.\nAnswer: 12, 0, -1\/4, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 45f289 (base 16) to base 4\nAnswer: 101133022021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + z + 12*z = -62*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - 9?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2706222*z**2 - 157468852*z**2 + 8120279*z**2.\nAnswer: -146642351*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6073 (base 10) in base 2?\nAnswer: -1011110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 - -7)\/((-1)\/(-7)). Suppose 2*m - c = 1. Suppose 3*v = 15, -111 = -2*r - v + m*v. What is the highest common divisor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 181110 - 181105. Let g be (-1156)\/(-8) + 1\/2. What is the highest common factor of f and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -6\/7 (c) -9 (d) 0.5 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w - 24*w - 12*w = -22295. Calculate the lowest common multiple of 1001 and w.\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1383 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 + 39*d - 659*d - 118*d**3 + 620*d.\nAnswer: -118*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 8:34 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6072417 is divided by 1214478?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.1, 28547, -2\/9, 1\/6, -0.2, -2, -1\/135?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(76) - sqrt(76)*2) + -4 + sqrt(76) + -1 + (sqrt(76) + sqrt(76)*-2)*2*-1)*-6.\nAnswer: -24*sqrt(19) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/47)*b**(9\/5))\/(((b*b**(-29))\/b)\/b)**(-49))**0 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/41802 and -71\/34?\nAnswer: 710634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 16931943\nAnswer: 2\/5643981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*c + 369*c - 7 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -2\/21*n**3 + 1\/7*n**2 - 12 + 0*n. Factor z(s).\nAnswer: -2*s*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -0.3483?\nAnswer: 2.3483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1192 = -2*k + 206. Calculate the remainder when k is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59279, 118171, 177063?\nAnswer: 235955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18274.\nAnswer: 2, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 7*u - 28 = 2*u, c + 2*u = 10. Let v be 72\/(-80)*(-1 - c\/3). Solve -v*l + 3*l**2 - 3 + 3\/2*l**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 5)*(3*j + 2*j - 7*j) - j + 0*j - j + (-1 + 3 + 0)*(1 - 1 - j) - j - j + 3*j + 35 + 5*j - 35.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 614169, 1228342, 1842515, 2456688, 3070861, 3685034?\n\"Answer: 614173*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -271 - -513. Let i = 36 - 14. Calculate the greatest common factor of i and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2971083160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -4. Is 11*(-1)\/(t\/13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from arwwwdtdapwpddd.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1199 and 781?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/320 and 41\/320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a (base 13) to base 6.\nAnswer: -245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -14c?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 3*f**2 - 4*f + 2. Let a be h(2). Let z = -12 + a. Solve -z = 4*i - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 315 (base 7) to base 10.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 times -0.136?\nAnswer: 0.2176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(76))*-4 - (sqrt(76) - (5*(sqrt(76) + 1*sqrt(76)) - sqrt(76))**2) - ((-5 + -1*sqrt(76))**2 - -6*(1 + sqrt(76))).\nAnswer: -42*sqrt(19) + 6057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -28 (b) -1.9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 1, o: 1, q: 12}. What is prob of picking 1 o and 1 j?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4071048 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 759?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**7\/70 + h**6\/36 - h**3\/2 + 3*h. Let d(a) be the second derivative of t(a). What is the third derivative of d(c) wrt c?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 4. Suppose -5*i - 2*x = -9, 0*x = -3*i - 4*x - 3. Let s be m(i). Solve 0 = 5*b + s + 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -166.44840365 and -10.2.\nAnswer: -176.64840365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3447.07 + 3447. Which is the nearest to 4? (a) -0.2 (b) h (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230480926 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**5\/5 - 56*i**4 + 216908*i**3\/5 + 42001184*i**2\/5 + 557531632*i + 12745942720 = 0.\nAnswer: -107, -70, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = t - 3*t. Solve -t*d = c - 10, 2*c - 5*d + 16 = -0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 102009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -163926 - -163925. Let b = -21.18 - -0.18. Sort s, b, -3 in descending order.\nAnswer: s, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 1, q: 1}. Give prob of picking 1 o and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*j = 17 - 0, -5*n + 24 = -j. Suppose 4*p = n*f + 3*p - 328, 4*f = 3*p + 269. Is f 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 zsziiziszsiwi. What is prob of sequence wzs?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1032 + 1134553?\nAnswer: 1133521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -11. Suppose i*q - q - 5 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/44)\/(1\/((-64)\/(-24)))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480 - 1775.\nAnswer: -2255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/((s\/((s**(-2)*s)\/s))\/s))\/s)\/s*s)**(35\/6))**(-26) assuming s is positive.\nAnswer: s**(910\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/206528 and 77\/177024.\nAnswer: 1239168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96148005*b*v - 32*v - 3779943 wrt b.\nAnswer: 96148005*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 10*x - 9. Let o = -8 - -15. What is the remainder when u(o) is divided by -2 + (13 - 1) - 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/41086335 and -58\/41086335.\nAnswer: 41086335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 628*z + 645*z - 1308*z. Let u(y) = -3*y. Determine c(u(f)).\nAnswer: 105*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13890 + 0.54818?\nAnswer: -13889.45182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(18\/5))\/z*z**(-2\/89)\/z*z*z**(-3)*z*z**(-40)\/z)**(-43) assuming z is positive.\nAnswer: z**(892121\/445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - -0.6. Let u be (2 + 3\/(-2))*(-104)\/(-26). What is the third biggest value in g, u, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1829157 by -3.\nAnswer: -609719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 4*o - 42 = -2*z, 41 = z - 5*o. Suppose -z = -4*x - 4. Solve 0 = x*j + 1 - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286658 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1062 = 2087*t - 2028*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtj when three letters picked without replacement from {t: 2, j: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 0*d + 1\/30*d**5 + 0 + 2*d**2 + 1\/60*d**6 - 1\/8*d**4 + 1\/6*d**3. Is p(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {i: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 13 - 7 = -5*b, 4*o - 20 = -5*b. Let c = 26 + -7. Suppose o = c*a - 22*a + 18. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58123 is divided by 209.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 1:46 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.042 (b) -5 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 29*o**2 + 3*o**2.\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3031333 (base 4) to base 6\nAnswer: -141011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11707929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 27. Let b be 32\/18 - ((-38)\/y + 4). Let q be 2 - (-3 + 8) - (208995 + b). Round q to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31 by -11463603.\nAnswer: 31\/11463603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 310958640 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -115*p**3 - 199 wrt p?\nAnswer: -345*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k**2 - 197859*k - 184370*k + 382229*k.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 4523.03.\nAnswer: 452.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695*j + 647*j - 126148 = 0. What is the least common multiple of (-2)\/((-6)\/(-3))*-20 and j?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40549 divided by -544?\nAnswer: 40549\/544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 26 = 3*h, -h - 3*h + 4*z + 32 = 0. Let p(c) = 2*c - 2. List the prime factors of p(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(0 + 0 - 4). Let v be 592\/6 - t\/(-6). Let h(w) = -w + 98 - v. Let c(i) = 14*i. Calculate c(h(j)).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 3. Let c(s) = 0 + 2*s - s - 7. Suppose -2*v = 3*m - 4, m - 2*v - 4 = -0*v. Suppose -m*z + 3*z - 10 = -j, -z = -j + 4. Determine j*k(u) + 3*c(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 5782250?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 142575203 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 17 = -2*f, 2*f - 4*f + 12 = -4*z. Let p = -4 - f. Suppose p = -4*b - 5 + 25. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*sqrt(156)\/(-2*sqrt(108)).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**3 + r**2 + 2. Let t be y(-2). Let g = t + 32. Let w = 12 + g. Calculate the highest common divisor of 65 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74288327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/25602 and -41\/12.\nAnswer: 51204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 4009095\nAnswer: -2\/4009095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 9 (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 2\/5, 5, 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*z**4 + 22*z**4 + 29 + z**3 + 25*z**4 + 4*z**2 - 66*z**4 to the form k*z**2 + h*z**3 + o*z**4 + f*z + l and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1566424, -3133078, -4699732?\nAnswer: -6266386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -52, -2\/5, 1, 2\/5, 2.1, -1\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -255 (b) 147 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 231.1234874 to two decimal places.\nAnswer: 231.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2605 - -2605. Put 5, 2, -4, l in increasing order.\nAnswer: -4, l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 39 = -2*o + 3*x, -4*o + x = -71. Suppose o*f - 22*f = -584. Does 46 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 177 (b) -2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + h - 10. Let d be s(4). Let a(f) = -17*f. Let p(k) = -4*k. Determine d*p(m) - 6*a(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 664 and 623164?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*u - 160 - 50 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 5. Suppose k = h - 4*b - 9, -4*h + 74 = -b + 4*b. What are the prime factors of (-4)\/(-6)*3 + h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -329 in 8, -5, 4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 406 (b) 2 (c) 0.2 (d) 1 (e) 3 (f) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f*f**(-1)\/f))**9)**(2\/23)*f**(-5)\/(((f\/f**7)\/f*f)\/f*f)*(f**(-2\/7)*f)\/(f**(-3\/7)\/f) assuming f is positive.\nAnswer: f**(884\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 0, -1, -13 in decreasing order.\nAnswer: 14, 0, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 7:24 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152) + sqrt(152)*3 + sqrt(152))*2 - sqrt(152))\/(3*sqrt(72) - sqrt(8)))**2 + (1*sqrt(304) + 3 + -5)*-3.\nAnswer: -12*sqrt(19) + 1923\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d*f*m**2 - d*f*m - 2*d*f - 42115*d*m**2 + 165*d - 5*f*m - 106*f - m**2 - 1 wrt m.\nAnswer: 2*d*f - 84230*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/19, -1948, -2\/7?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200 + 21*c**2 - 72 - 125.\nAnswer: 21*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.1. Let a be -1 + 2 + (-18)\/16. Suppose -13 = -4*s + 3. Sort s, a, z in decreasing order.\nAnswer: s, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*q = 1509985, 0 = 12*i - 13*i + 5*q - 1510015. Round i to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53509 divided by -1.\nAnswer: -53509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1026405*z**4 + 9658*z + 8.\nAnswer: -12316860*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 3 - (2 - (-2 + 9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1122321 + 122?\nAnswer: -1122133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 10*o**2 + 4*o + 30. Calculate h(11).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s. Suppose -g + 3*o = 8, -2*g + 3*o + 3 = 4. Suppose -3*k + 2*b + g = 0, k + 3*b - 3 = 3. Let j(q) = 2 - k*q**2 + 0 - 2. Determine i(j(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 14 = -2*u, r + 7 = -r + 5*u. Suppose -2*n + 52 = 2*s, -r = -s - 3. Suppose 0 = -4*b - b + n. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.1, 3, -32, 109?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -52*n + 2. Let j(a) = 2*a**2 - 98*a - 99. Let k be j(50). What is b(k)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340270.\nAnswer: 2, 5, 7, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ululvllvvul. What is prob of picking 1 u and 1 v?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5 - 2)*(-125)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 5944?\nAnswer: 17832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and (-12)\/(132\/(-1199)) + 3.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -289539 (base 14) to base 13\nAnswer: -3a426a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a. Let t(n) = 8*n + 102 - 102 + 106*n**2 - 8*n. Calculate x(t(r)).\nAnswer: 424*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1959255.7 to the nearest 1000.\nAnswer: 1959000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5}. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 40*v**2 - 162*v + 6. Determine b(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*r - 18 = 0, -3*k + 2*r + 49 = 3*r. Let q(s) = -8*s + 44. Suppose 0 = -12*d + 3 + 57. Let b be q(d). What is the highest common divisor of k and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238180510 divided by -4.\nAnswer: 119090255\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/19 (b) 1.3 (c) -3 (d) -5 (e) 2\/9 (f) 17 (g) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 6 = -4*t, -2*t + 5*b + 0 = 14. Sort -4, 2575, t, 3, 5 in increasing order.\nAnswer: -4, t, 3, 5, 2575","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-2\/5))\/(s**(2\/23)\/s))\/((s\/(s\/(s*s**(-4\/3)*s)))\/s**(2\/7)))\/((s**(2\/3))**(-43)*s\/s**2*s**(-2)) assuming s is positive.\nAnswer: s**(26403\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by -1797000.\nAnswer: 19\/898500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2256 + -2254. Solve t*p = -p + 3*o + 15, 4*o = -4*p - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**6\/120 + l**4\/24 + 5*l**3\/6 + 11*l**2 - 2*l. Let f be p(-2). Which is the biggest value? (a) f (b) -3\/13 (c) 1\/4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -643428\nAnswer: -2\/160857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*m**4 + 201690*m**3 + 133564212*m**2 - 2732295930*m + 13624438113 = 0. Calculate m.\nAnswer: -6773\/5, 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.40000022 - -1.4. What is c rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 104339193?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1298\/(-4235) + 84\/(-1470)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 69*x**2 - 20*x - 21. Is c(-7) a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**3 - 17*u**2 + 26*u - 9. Let k(c) = c**3 - 6*c**2 + 9*c - 3. What is -17*k(r) + 6*o(r)?\nAnswer: r**3 + 3*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-8) - (-1935)\/(-9288).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 624.62624 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 929882095 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0480696976 rounded to 4 decimal places?\nAnswer: 0.0481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/27*4*(-4)\/80*-6\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -619? (a) -2\/7 (b) -4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 80658 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 - (1 - -23)) + -16.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*d + 56. Calculate the least common multiple of d and ((-44)\/6)\/(2\/(-3)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99 + -96. Let -4*l**z - l**3 - 33 - 30*l**2 - 45*l + 13 = 0. What is l?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grgo when four letters picked without replacement from {c: 1, q: 7, r: 1, o: 3, g: 4}.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -20181\/101872 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3749 a factor of 710579579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*c - 12*g - 75 = -13*g, -3*c - g + 2*g = -2*c + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6578.000010686 + -6578. Round g to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 300, 607, 902, 1179, 1432, 1655, 1842, 1987?\nAnswer: 2084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 4*y - 1. Let p be i(3). Let g be p - 2\/2 - -3. Let j(w) = -441 - 2*w + 224 + 219. Let l(v) = -2*v + 2. What is g*l(s) - 3*j(s)?\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 12, 5*g + 28 = 5*b - 17. Suppose 5*n + 5 = -b*u, 2*n = 4*n - u + 14. Let h = n - -28. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 4*b - 13. Let p(n) = 2*n**3 - n**2 - 9*n + 26. Let u(d) = -5*g(d) - 3*p(d). What is the hundreds digit of u(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -127\/104 + 11\/8. Let v = -826.08 - 9.92. Let u = -836.1 - v. Which is the nearest to 0? (a) -5 (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 13*u**2 - 26*u + 309. What is p(14)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 47. Let y(d) = -d**2 - 4*d + 7. Let o be y(-5). Suppose 0 = 2*n - 9 - 5. Put o, n, v in decreasing order.\nAnswer: n, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134189290 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 13 = 5. Let t be 20\/6*26\/130. Is t > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/(-1)*(-10)\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 183\/30 - 54\/12. Factor -4\/5*m**3 + 8\/5*m + t + 2\/5*m**4 - 6\/5*m**2.\nAnswer: 2*(m - 2)**2*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-172 - 116*m + 172)*(-2 + 1 + 2)*(-m + 0 + 0)*(9*m - m + m) to the form w*m + t*m**2 + g + l*m**3 and give l.\nAnswer: 1044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -115 + 121 - (-6 - 4) - 20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 840 = 5830. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 420528.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958248787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 0.3 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 256457\/21 or 12212?\nAnswer: 256457\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8345 is divided by 596.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, 54, 171, 394, 759, 1302, 2059?\n\"Answer: 6*b**3 - b**2 + 8*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 11 - 10 - 9 - 8*z**3 - 4 + 42.\nAnswer: -8*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -10) + -8 + -3 - 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y - 21. Let h(o) = 2*o + 10. Let p = 10 - 7. Let g(z) = p*i(z) + 5*h(z). Let b be g(11). Do b and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123770 divided by -1.\nAnswer: 123770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**2 + 5*k + 11. Let c be u(5). Put c, 0.4, 10 in decreasing order.\nAnswer: 10, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448, -1407, -2366, -3325, -4284, -5243?\nAnswer: -6202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5941861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 105*z**2 + 61*z + 189. List the prime factors of t(-14).\nAnswer: 5, 7, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*v + 201*v + 1480 = -223*v for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 398*y**2 + 407*y**2 + 1304*y**4 - 3*y - 795*y**2 wrt y.\nAnswer: 31296*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 - 9 + 9 + (3 - 3 + n)*(0*n - n - n) - n**2 + 0*n**2 + 3*n**2 - 93*n + 93*n + 18*n**2 as h*n**2 + j + u*n and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2252*z**2 + 7274*z**2 - 5021*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j = -28*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -176 - -179. Which is the closest to -1? (a) -0.42 (b) l (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 1941 = -f - 45892, -2*f + 6 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 13*k**2 - 13*k + 3. Let f(h) = -h**3 + 23*h**2 - 23*h - 23. Let x be f(22). Let a = -58 - x. What are the prime factors of l(a)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 3. Let b be 6\/10 - 264\/(-60). Let g = b - 3. Suppose 0 = -g*c + 7*c. Calculate y(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -32, 2.5 in ascending order.\nAnswer: -32, -2, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + g + (0*g + 4*g - 5*g)*(93 + 69 - 53))*(2 - 2 - 2)*(2*g**2 - g**3 - 2*g**2).\nAnswer: -216*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.240946924 to 3 dps.\nAnswer: -7.241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/720 and -37\/40400?\nAnswer: 363600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9615906 to the nearest integer?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1390825 to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 10*u**2 - 56*u - 586. Give b(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285407700*c + 11*c**2 + 285407700*c.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (304\/(-114))\/((-8)\/(-60)). Let j(x) = 0 + 7 + 31*x + 14 + 6*x**2. Is j(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -7*c**2\/2 + 3*c + 1. Let q = 0 - -3. Let k(u) = 6*u - 3. Let n(d) = q*y(d) + 4*k(d). Calculate n(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1758166643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16030 by -6.\nAnswer: -8015\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 - 97 = -42*c. Let j(i) = 7*i**3 - 29*i - 8. List the prime factors of j(c).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11100000011110100001 (base 2) to base 10\nAnswer: -919457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 363, 1590, 3919, 7584, 12819, 19858, 28935, 40284?\nAnswer: 54139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 263230?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*l + 4*s + 440 = 0, -1514*s + 1517*s = -2*l - 95 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 32. Let b(a) = a**2 - a - 2. Give b(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4697, 4440, 4183, 3926, 3669, 3412?\nAnswer: 3155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + (2 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*p**3 - 1770*p**2 + 1797*p + 36852.\nAnswer: 3*(p - 83)*(p + 4)*(7*p - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 674.103 > -4.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 1:10 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 34.\nAnswer: -3, -1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -8*t - 7. Let d(x) = -4*x - 3. Let n(m) = 4*a(m) - 7*d(m). Let v be (-4)\/12*63\/3. What are the prime factors of n(v)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121 divided by -687.\nAnswer: -121\/687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*r + r**2 - r**2 + 12*r**5 + 40*r**5 wrt r?\nAnswer: 1040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18012, -17930, -17850, -17772, -17696?\n\"Answer: -k**2 + 85*k - 18096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*w + 12 = -o, 3*w + 15 = 0. Let j = o - -1. Let q be ((-4)\/(-6))\/(-1 + 0). Are q and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -29*u**2 + 199*u + 101. Find the first derivative of w(z) wrt z.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3237697?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**5\/45 - 19*t**4\/54 + 38*t**3\/27 - 7*t**2\/3 + 37*t + 6. Factor g(d).\nAnswer: 2*(d - 7)*(d - 1)*(2*d - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 10*r**2 + 14*r - 18. Let i be l(11). Let z = -106 + i. Let k = -64 - z. Calculate the lowest common multiple of 30 and k.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1735031\/1650 + -11580\/11. Find the common denominator of k and (-4*12\/224)\/((-36)\/987).\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-696*o**3 + 8928 - 8928)*(-1 - 3*o + 1).\nAnswer: 2088*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r - 2, -3*r - 22 = -4*q. Suppose -x + 4*z + 0 = -7, -16 = q*x - 5*z. Let d be (3\/(x\/62))\/(1\/(-3)). What is d rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96 + -96. What is the biggest value in k, 0.2, -11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-4) - (-5)\/(-10). Let f be 0 + -2 + 8 + h. What is the second derivative of f*n + 3*n**4 - 5*n**4 - 2*n wrt n?\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1625985 and 706950?\nAnswer: 16259850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**7*l**5\/l*l assuming l is positive.\nAnswer: l**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 o, 1 s, and 1 a when four letters picked without replacement from ksaokyaxsyykxoya.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/4 (b) -9 (c) 1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 43 + 41. Let z(m) = 2*m**2 + 18*m + 1. Let x(k) = k**2 + 9*k. Let c(y) = -13*x(y) + 6*z(y). Calculate the remainder when o is divided by c(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from rrwwwrrrrwwr.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 2*n - 4, 4*h + 143*n = 138*n + 25 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)\/j**(-1\/5))**(2\/137)*(j*(j\/j**7)\/j*j)\/j**(2\/17)*(j**(1\/2))**(2\/13) assuming j is positive.\nAnswer: j**(-767068\/151385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.15 or 1009?\nAnswer: 1009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/7 - (-192)\/1890*-10?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2. Let y(x) = 4 - 2*x**3 + 0*x**2 + 11*x - 5*x**2 - 3*x**2. Let b be y(-5). Determine k(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -5)*2\/(-6) - (-1470)\/3234.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*-3*5 + sqrt(245) + (sqrt(245) - (3*sqrt(245) - sqrt(245))) + -2)**2*2.\nAnswer: 840*sqrt(5) + 110258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 79*v - 321. Let o be h(83). Let w(k) = -5*k + 53. Give w(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.55859 nanometers to kilometers.\nAnswer: 0.00000000009355859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -74 + 74 + m**2. Let p(w) be the first derivative of w**2\/2 - 4. Determine p(t(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -576*o**3 + 118*o**3 - 241*o**3.\nAnswer: -699*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/30 - (-18)\/27. Suppose -w - 15 = 2*w. Let q(r) = r**2 + 4*r - 4. Let h be q(w). Which is the nearest to h? (a) 4 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 8, -2, -1090, -3 in ascending order.\nAnswer: -1090, -30, -3, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33 + 19 + 12*n + 32 + 3*n**2 - n**2.\nAnswer: 2*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6326132 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2204*l*p + l*y - 216*p*y + 621619*y wrt p?\nAnswer: 2204*l - 216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -17734 smaller than -2\/115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - 9630\/3024 - 5\/(-35). Let s(c) be the third derivative of 7\/60*c**5 + 0*c**3 + n*c**4 + 0 + 0*c + 19*c**2. Find the second derivative of s(y) wrt y.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 43*k**2 - 4*k + 3. Let j(t) = 13*t**2 - 2*t + 1. Let c(m) = 10*j(m) - 3*z(m). What is c(10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 0*n**3 - 2*n**3 + 5*n**2 + 7*n + n**3. Determine r(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(17)*2*-1 + (sqrt(85) + (sqrt(85) - -2*sqrt(85)) + sqrt(85))\/sqrt(5) + 4 + 1 + 1.\nAnswer: 7 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (7 - (2 - -2)). Suppose -m*b = 3*t, 4*t + 2 = -3*b - 0*b. Suppose b*y = y + 631. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + 4*t - 3*t + 2*t - 4*t + 4*t + (4*t - 7*t + 0*t)*(-2 + 0 + 4))*(-6 + 7 + 11) to the form l + k*t and give k.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6304 and 7486?\nAnswer: 119776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 35*y - 59875. Suppose -2*k - 2*k = -5*q - 1920, -5*k + y = -5*q. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265, 119, -27, -173, -319, -465?\nAnswer: -611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i - 21. Let g(f) = 20*f + 56. Let z(d) = -3*g(d) - 8*o(d). Let t(x) be the first derivative of 0*x - 4\/3*x**3 - 1 + 0*x**2. Determine t(z(k)).\nAnswer: -64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2812*r - 27710 = -3627*r for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5726*i - 125863. Calculate j(-22).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20.2 from -1.418.\nAnswer: 18.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 17?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429*s**3 - 113*s**3 - 105*s**3 - 109*s**3 - 96*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 9:04 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4 + 2. Let q be (6*-3)\/((-9)\/s). Suppose -4*h + q = -h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(120)\/(sqrt(40)\/sqrt(5)) + sqrt(15))\/(sqrt(48) - -1*sqrt(48)) + ((sqrt(500) - (sqrt(500) + 2))*-1 + (sqrt(500) - 4*sqrt(500)*-1))**2.\nAnswer: 801*sqrt(5)\/4 + 12503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 12*m - 13*m. Let s be 1036\/(-714) - (4\/(-3))\/m. What is the third biggest value in s, -3\/17, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trrt when four letters picked without replacement from ttrtrr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 2*h - 21 + 6)*(0*h - h - 2*h).\nAnswer: 6*h**2 + 18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -313, -630, -947?\n\"Answer: -317*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3) + (2 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13709 and -4271.\nAnswer: -58551139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18218.50947 rounded to the nearest 10?\nAnswer: 18220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 32 = -5*r. Suppose 0*q + 6 = -q. Let t = q - r. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 0*r + 5*r - 3*r - 3*r. Let g(v) be the second derivative of -v**4\/12 + v. What is g(k(q))?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17299954?\nAnswer: 2, 7, 1235711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**3 + 72*w**2 + 25*w - 600. Calculate d(24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56313 is divided by 156?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3423, -6796, -10123, -13404?\n\"Answer: 23*o**2 - 3442*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-97)\/19 + (-16)\/(-152). Sort 2\/7, 1\/4, w, -1 in descending order.\nAnswer: 2\/7, 1\/4, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -439 (c) -3\/5 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432015100 a multiple of 1902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 12*c. Let v be d(-10). Let r = v + -7. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -970075, -1940105, -2910133, -3880159?\n\"Answer: c**2 - 970033*c - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*i - 4, -4 - 8 = -3*i. Suppose -y*u = -7*u + b + 119, 4 = -b. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -20*s + 428. Give d(24).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 2 = -2*h, 0 = -d + h + h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 347895307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2)\/u)**3)**29)**(-17) assuming u is positive.\nAnswer: u**4437","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2\/15 - 4084*y\/15 + 128464 = 0. What is y?\nAnswer: 740, 1302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -251, -717, -1629, -3137, -5391, -8541?\nAnswer: -12737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 536*z - 13358. What is l(25)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43220 + 43220 + 29*u.\nAnswer: 29*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {j: 1, s: 1, d: 1, w: 1, v: 1, r: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-165)\/21 - 18\/(-21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 10:11 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2688, -51814, -185156, -444822, -872920, -1511558, -2402844?\n\"Answer: -7018*b**3 + 4330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 0)*(-8 - -5) + 38. Let v = p - 27. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(300))*-5 - ((sqrt(300) - (sqrt(300)*2 + sqrt(300))) + -5).\nAnswer: -30*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*k - 3*k. Let d(z) = -z. Let g be d(k). Suppose g = -s + 3*s. Which is the closest to s? (a) -4 (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00169348194 rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -7*y + 2*i + 21, 2*y - 5*i = 25. Solve -5*d + 2*u = 27, 3*u = -5*d - 17 - y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - a**2)*(5 - 2 - 2)*(10*a**2 - 3*a**2 + 45*a**2) in the form g*a**2 + s*a**3 + i + x*a**4 + m*a and give x.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2754*l - 13840. Give r(5).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 894019.\nAnswer: 7, 127717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10541 (base 8) to base 3.\nAnswer: 20002210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/6 + (-20)\/(-12). Suppose 0 = -a*c + 283 - 75. What is the units digit of (-3)\/6*c\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 834474559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22638 is divided by 163.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + 16*s**4 + 12 - 8*s - 3 + 5 + 14*s in the form z*s + a*s**4 + n*s**3 + d*s**2 + u and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 7 - 8. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**4\/4 - m**3\/3 - 2*m. Let g(o) = 4*o**2 - 3*o. Let d = 11 - 8. Determine d*t(k) - 2*g(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -164 or 452\/3721?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n**2 + 264555093 - 264555093.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 11 - -13) + (-2 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-1\/30))\/r*r)\/((r\/(r*r*r**(-3\/2)*r*r*r))\/r)*(r*r\/(r*r*r*r*(r*r\/r**(-5\/3)*r)\/r*r)*r)\/(r\/(r**(1\/37)*r*r)))**19 assuming r is positive.\nAnswer: r**(-608\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 21*u + 51 = -13*u - 11*u, -4*u = 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26\/5 of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 - 622217954*t + 622217954*t.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3 - -3)\/(-1))\/(-2). Solve -20 + s = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nineteen quarters of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 7*l - 3. Give t(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -14*p**2 + 127*p - 1. Let l(i) = -i**3 - i + 14. Calculate the remainder when l(0) is divided by t(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (1 - (1 - -2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4596.176cm in micrometers?\nAnswer: 45961760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 256 by 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 267205783 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26119420, -26119412, -26119392, -26119354, -26119292, -26119200?\n\"Answer: v**3 + v - 26119422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 3*r**2 + 6*r + 19. Let p be i(5). Is 1173 + -7 + p + 6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 321 = -9. Let z be f\/21*14*5\/20. Solve -n + 4*v + 2 = -18, -z*v = -5*n + 36 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3495059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 = 3*j, -j - 6 = -3*q - 9. Let r(z) = -z**2 - z + 5. Let n be r(-3). What are the prime factors of n + 2\/(-2 + j)*-130?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/8*((-1000)\/(-30))\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6.94 and 14105.\nAnswer: 14098.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhw when three letters picked without replacement from bncnhqcwq?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 588 and 98490?\nAnswer: 196980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 68, 174, 328, 530?\nAnswer: 780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145957*z + 2646 = 145810*z for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/10*(-4 - 1). Put v, 2, -2, 5 in descending order.\nAnswer: 5, 2, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31339 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 2. Let z be h(-11). Suppose 3*m = -4*v + 32, -47 = -2*v + 4*m - z. Is v bigger than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 1. Let h be w(6). Let x be (-4)\/(-10) + 53\/h. Solve 2*a - 2 + 0 = -4*n, x = -3*n - 4*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.25 times 5\nAnswer: 66.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5900 = 4*s, -3*s + 4632 = -3*j + 189. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in -1, -13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**3 - 4*g**3 + 0*g**3 + (-2 - 1 + 0)*(24*g**2 - 24*g**2 - 13*g**3).\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 0*h**2 + 0 + 0*h**3 + h + 1\/6*h**4 - 3\/20*h**5. What is the third derivative of z(o) wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + -29)*(2\/5)\/(-1). Sort 1, l, -4.\nAnswer: -4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11413959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 3:28 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 205393 to the nearest one thousand.\nAnswer: 205000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1105 divided by -9\nAnswer: -1105\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 3*x = -9 - 2, y = x + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 5:34 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**6 + 9*b**4 - 4*b**2 - 3?\nAnswer: 480*b**3 + 216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 92?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**4 - i**4 + 2*i**4)*(-161*i + 45*i + 927*i + 312*i + 391*i + 1192*i).\nAnswer: 5412*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -173 + 173 + 17*a in the form j + n*a and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/2156 and -47\/1170890.\nAnswer: 180317060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-325)\/(-26))\/5*18\/15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -8)*4*9\/(-72). Determine h, given that i*h**2 - 16 - 10129*h + 10129*h = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = 85*n + 781 - 27 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + sqrt(49)\/sqrt(7)).\nAnswer: -6 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, -1\/2, 10, -6708.\nAnswer: -6708, -5, -1\/2, 0.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/10 - 44\/(-55).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a + 2*s - 195 = 7*s, 149 - 68 - 94 = -3*a + 2*s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2261 - 3372?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 169 = -2*f + 5*h, -2*f - 2*h = -174. What is the greatest common factor of f and 4558?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, -76, -2536 in increasing order.\nAnswer: -2536, -76, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 885.24817 to zero dps.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/318 and 157\/198.\nAnswer: 10494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -146 * -1\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6396 + 6747. Is 21 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 3\/10*z**5 + 0 + 16*z + 0*z**4 + 0*z**3 - 7\/2*z**2. Differentiate w(j) with respect to j.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10882 by -47.\nAnswer: 10882\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -16*2\/(32\/(-4)). Let s(v) = v**2 + 2*v + 2. Let w be s(0). Suppose -w*p = 3 - 31. Solve 5*l + 7 = -3*k + u*l, -2*k + 4*l - p = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*x - 2*x - 2*x)*(-5*x + x - x)*(-5*x + 2*x + 0*x) - 3*x - 12576 + 161*x**3 - 12570 + 25144 as t + i*x + g*x**3 + p*x**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1664981\/32903915 + -21\/52022. Find the common denominator of 57\/22 and s.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k - 6. Is t(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 11:52 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -2*s**5\/15 - 19*s**4\/18 + 34*s**3\/27 + 19*s**2\/9 - 28*s\/9 + 1545. Determine d, given that h(d) = 0.\nAnswer: -7, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/6))**(2\/37)\/(r**(-2\/59))**(-3\/11) assuming r is positive.\nAnswer: r**(-17\/72039)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**4 + q**3 - 13*q + 14*q - 3 - 131*q**4 in the form s*q + u + v*q**4 + n*q**3 + a*q**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-196)*28\/((-2)\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 21. Let t be (0 - 0)\/(j\/2). What is the closest to -0.1 in 4\/3, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1308 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 5*n**5\/54 - 85*n**4\/27 + 1156*n**3\/27 - 82*n**2. Factor k(q).\nAnswer: 2*(5*q - 34)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -22 + -2 + (2 - 15 - -23).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s**4 + 5*s**2 - 168.\nAnswer: 12*s**3 + 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 1\/120*u**5 + 0*u + 0 + 1\/12*u**4 + 38*u**2 + 1\/3*u**3. Factor z(k).\nAnswer: (k + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8951519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2 - 18\/(-84)) + -2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 - -47. Let w be (-2 + 5)\/(n\/(-20)). Solve 5 = -5*h, -4*u + w*h - 2*h + 2 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 (base 16) in base 15?\nAnswer: 1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607*a + 983*a - 38478 - 722 = 656*a for a.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35367055 + 46?\nAnswer: -35367007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*z**3 - 3*z**3 - 4*z**3)*(-9 - 5*z - 3*z + 9*z)*(0 + 3 - z - z).\nAnswer: -18*z**5 + 189*z**4 - 243*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 79 in -2, -2\/15, -3071, -59, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 525\/(-14)*(-2350)\/2115*2\/((-10)\/(-3))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.4, -4, 64, 2\/777 in decreasing order.\nAnswer: 64, 0.4, 2\/777, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**4\/4 - b**3 - b**2\/2 - b + 2. Let n be v(-3). Suppose -4 = -4*i + n*s + 16, -i + 2*s = -5. Solve i = 5*o - 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 15 = -84. Let l = -28 + c. Suppose -y + 5*y = -l*s + 241, 2*y - 2*s = 98. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 36. Does 16 divide (98 - 1)*(k + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + k + 2121 - 2131, 4 = 4*a - 2*k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*y - 24747 = -25611 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 31757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**2\/z))**(-20)\/((z**3\/z)\/z)**1 assuming z is positive.\nAnswer: z**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -93, -113, -167, -273, -449, -713?\n\"Answer: -3*o**3 + o**2 - 2*o - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1941885*n*q*z**3 - 185904*n*z**2 + 103*n*z + 3*q*z - 2*z**3 + z wrt q.\nAnswer: -1941885*n*z**3 + 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(3\/52))\/(((-1)\/5)\/((-149)\/(-1490))).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 7*y - 3*y - 27*y + 7*y + 12*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**2 - 10*s. Let f(c) = -3*c**2. Calculate f(z(k)).\nAnswer: -27*k**4 - 180*k**3 - 300*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 13*v - 83. Let j(f) = 4*f + 30. Let o be j(-10). What are the prime factors of r(o)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 34 = 2*i - 4*i, 0 = 5*w - 2*i - 29. What is the second derivative of 9*a + 7*a**2 + w*a - 10*a + 7*a wrt a?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -76 + 30 - (1 - 21).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 5, 2\/9 in descending order.\nAnswer: 65, 5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*o**5 + 0*o**5 + 47*o**5 + (-o**2 + 0*o**2 + 2*o**2)*(-3*o**3 + 0*o**3 + 5*o**3).\nAnswer: 39*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*p - 6*p. Let b(x) = -1 + 3 - p - 3*x**2 - x**3 - 10 - 3*x. Let r be b(-4). What is the greatest common factor of 57 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + (-433 + 446 - (-2 + -4)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t - 19*t + 2*d = 8, -3*d = -3*t - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1312 + -892. Is 35 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -8*p - 4*p + 3*p**3 - 6*p**2 + 12 - 4*p**3. Factor l(z).\nAnswer: -3*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*a + 16. What is the third derivative of 0*z**5 + 8*z**5 + 47*z**3 - 47*z**3 + 2*z**a wrt z?\nAnswer: 480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.2 - -15.8. Let z = t - 17.1. Which is the second smallest value? (a) z (b) -0.3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2752451 and 0.157387683.\nAnswer: -2752450.842612317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(-8*p - 5*p + p)*(-18 - 8 + 0 + (-1 + 4 - 1)*(1 + 0 - 3))*(-1 - 3 - 2).\nAnswer: 2160*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35.683 - 36.083. Sort 1\/5, -13, -1, q in decreasing order.\nAnswer: 1\/5, q, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152117, -303378, -454639, -605900, -757161?\nAnswer: -908422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.622367 minus 790.87?\nAnswer: -799.492367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -s + 40. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -243, -4, -493, -15 in decreasing order.\nAnswer: -4, -15, -243, -493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 10*g + 12*g - 4*g + 42.\nAnswer: -g**2 - 2*g + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.63 and 278.\nAnswer: -175.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38530 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 5. Suppose -y = -a - 11, y - 3 = 4*a + w. Let r = 2 + y. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225236550 by 1.\nAnswer: 225236550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -826853248*p**5 - 23*p**2 - 569*p + 7602 wrt p?\nAnswer: -49611194880*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 112438303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*y - 2*y + 4*y. Is y at most as big as -1\/7628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*w = 532, 0 = l + w - 67 - 192. Let m = 91363 - 91327. Calculate the greatest common factor of m and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73290?\nAnswer: 2, 3, 5, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -41, 19, 183, 457, 847?\n\"Answer: o**3 + 46*o**2 - 85*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1331))*-5 - sqrt(1331))**2 - 6*(0 + sqrt(1331)) - (-2 + (-1*sqrt(1331))**2*-6).\nAnswer: 1254*sqrt(11) + 56004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 13) + 2 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30816*x**4 - x**3 - 184*x**2 + 58*x.\nAnswer: 739584*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from ttxwtooktk?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a decade in years?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-2)\/1 - 0. Let p = -2 - v. Let u(k) = -4*k + 91. Let j be u(23). Sort j, -0.2, p in ascending order.\nAnswer: j, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 65 = 18*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 0.600165. Round p to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-1 - 0)) + 11 + -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/6092 and -39\/1930.\nAnswer: 5878780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 481*l - 73*l - 75*l - 82*l - 94*l - 76*l - 75*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010111110010000000 + 100?\nAnswer: -10010010111110001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 + 233. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.5 (b) 1\/6 (c) 20 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -745*b**8\/56 - 5*b**4\/6 - 4*b**3\/3 + 374*b. What is the third derivative of k(w) wrt w?\nAnswer: -89400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -158, -244, -334?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18639720?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -48*u**2 - 33. Suppose 604*r + 396 = 592*r. Let l(g) = 3*g**2 + 2. Let c = -8 - -8. Suppose -6 = 3*p - c. Give p*s(j) + r*l(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 141. Let f = 46 - h. Let g(q) = 3*q**2 - q. Calculate the lowest common multiple of 2 and g(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b - 1. Let d = -87 + 91. What is the remainder when i(-6) is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 2*t + 6 - 13 - 6 - 19, -5*t + 52 = -4*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 5*c**2 - 6*c + 5. Let v be f(-6). Suppose -a + 2 = -4*r + 10, -6 = -3*r - 2*a. Let x be 0 - (r*3)\/(-2). Sort x, -1, v in increasing order.\nAnswer: -1, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9504 + 9503 + 9513 - 28520 + 8*w + 7*w - 2*w.\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -206 + 2*i + 201 - 4*i + i**2. Suppose 1 = 2*w + 13. Is f(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/18*(-495)\/(-132)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113\/561 + -1\/51. Let t = x - 41\/44. Let q be 7*(-40)\/(-112)*2\/15. Which is the smallest value? (a) q (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - i - 2*i**2 + (-2*i**2 - 3*i**2 + 6*i**2)*(-2 + 0 + 3) + 272*i**2 + 431*i - 431*i + 4 - 2*i**2 - 4.\nAnswer: 269*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 381.9984cm?\nAnswer: 0.003819984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(286) + sqrt(286))\/sqrt(11))\/sqrt(2).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2\/97, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 22402094450*z**5\/7 - 14722283510*z**4 - 778667592172*z**3\/7 - 975614506836*z**2\/7 + 276594714*z\/7 - 19602\/7 = 0.\nAnswer: -11\/5, 3\/21167, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -32062245.2 + -0.022\nAnswer: -32062245.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**2 - 3*b**2 + 3*b**2)*(-12*b**2 + 21 + 19*b**2 - 9*b**2).\nAnswer: -12*b**4 + 126*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-3))\/((-10)\/(-13530)) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, z: 2, k: 2, t: 1, y: 1, x: 1}. 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: b\"What is the ath term of -62940, -62950, -62960, -62970?\n\"Answer: -10*a - 62930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 - 33704932?\nAnswer: -33704931.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4733, 9477, 14221?\n\"Answer: 4744*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 (base 4) in base 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 5. Let l be -16 + (-14)\/7 + 7. Calculate o(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60889.3 - -60889. Let n = 5 - 13. What is the second smallest value in n, 3, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.68 and 2.0888.\nAnswer: 2.7688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -550819670 rounded to the nearest 100000?\nAnswer: -550800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/35282697 - -176237069891\/28649549964. Let u = d + -1\/116. Let r = -1373\/60 + 145\/12. What is the common denominator of r and u?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121212220 (base 5) to base 14\nAnswer: 10b87b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -1. Suppose 2*m - o - q = -3*o, -2*o + 4 = -3*m. Find p, given that 15*p**5 - 11*p**4 + 8*p**5 - 9*p**m + 15*p**3 + 2*p - 20*p**5 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17107*i - 1430*i**2 + 17107*i - 2233*i**2 to the form o*i**2 + h*i + t and give o.\nAnswer: -3663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/47 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 1851.\nAnswer: 1850.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17809 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m + 3 = 0. What is the tens digit of (2 - -43) + (m - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 12 + 11 - 17 - 3*x. Let p(a) = 4*a - 7. Determine -6*i(c) - 5*p(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivyk when four letters picked without replacement from iviyvvymiyvyyymk?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - -1)\/(12\/(-36)). Suppose t - 3 = -3*m - 15, 2*t + 4*m = -14. What is the highest common divisor of u and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85.1 + 85. What is the closest to 0 in -1\/7, v, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + n + 4, 7 - 13 = -4*p + n. Suppose 221 = p*k - k. What is the highest common factor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -5. Suppose -3 + 0 = 3*n + 2*u, -4*n + u = -7. Solve n + c = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15660\/7*j**3 + 4*j**4 + 2183992\/7*j**2 - 224640*j - 89600 = 0.\nAnswer: -280, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3438.84816 + -41119.65174. Let s = 44565 + w. Let o = s - 6.5. Round o to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-10)\/(-25)*-1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1025, -4092, -9209, -16376, -25593?\nAnswer: -36860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + -72 - (2 - 12).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21483 and 27342?\nAnswer: 300762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(3 - -2)*-1. Let x be 50\/c*4\/10. Suppose o - 19 = -3*d, -o + x = -5*d + 1. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.82 + 0.3. Let t = k - 0.28. What is the biggest value in 2, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/4 - 1)\/((-4)\/48). Solve -a - v = -z, -2*a = -4*v - 92 + 74 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90563880 and 314?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 6*s**2 + 4. Let v be r(-6). Let g be ((-8)\/(-14))\/(6\/21). Suppose 0 = 8*p - 24. Solve v*z = -g*m - 12, -2*z = -p*m - m - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/10509 and -26\/66557.\nAnswer: 199671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7*x + 3)*(1 - 11 + 0)*(-x + 3*x - 3*x)*(2 - 3 + 6).\nAnswer: -350*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/7157133 and 5\/1728?\nAnswer: 458056512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(3\/(-6)*-1). Let h(w) = -w - 1. Let o be h(u). Determine y, given that -6*y - 3*y**2 - 4 - 1\/2*y**o = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4928 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8353 - 8354.34485. Let x = h + 1.7454. Let i = -0.4 + x. Round i to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 2 (b) -3 (c) -0.04 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, g: 2, a: 1}. What is prob of sequence ap?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 + -51. What is the closest to t in 2, -0.5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(-2737)\/210 - (-2)\/(-15). Differentiate -s + 132*w**2 - 212*w**2 + 186*w**2 wrt w.\nAnswer: 212*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**3\/6 + 3*d**2 - 117*d. Determine y(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 3:19 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 247\/7 - 35. Let p be ((-1)\/(-10))\/(5\/80*-4). What is the smallest value in n, 1\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5357061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 26*p. Factor -1\/3*a + 1\/3*a**2 + p.\nAnswer: a*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3916 by 11.\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 8139040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136448 divided by 656.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) -1\/8 (c) -3\/2 (d) -68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 9*g**2 - 8*g + 3. Let p(s) = s**3 - 9*s**2 - 8*s + 4. Let y(a) = 4*l(a) - 3*p(a). List the prime factors of y(10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/9731214 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 4 + (17 - 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = -18*i + 34 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -0 - 3, 3*y + 3 = -3*u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43450 + 24?\nAnswer: -43423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22.043 - -0.043. Let o = v - -27. Suppose -4*h = 8*q - 11*q + 11, h + 2*q = 0. Sort -1, 1, h, o in increasing order.\nAnswer: h, -1, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1974 divided by -6?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 4. Suppose 4*w + 4 = 5*v - 18, -2*w - 14 = -3*v. Suppose -v*p - 24 = -144. Put p, q, -5 in increasing order.\nAnswer: -5, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -631003*w + 3. Let q be o(1). What is q rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (796*f - 421*f - 653*f)*(-3*f + 4*f - 5*f) in the form q*f + z*f**2 + o and give z.\nAnswer: 1112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 490837468 and 0.5?\nAnswer: 245418734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3573 plus -76.69?\nAnswer: 3496.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeoq when four letters picked without replacement from {e: 8, w: 2, o: 1, x: 5, q: 3, r: 1}.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3. Let o be m*(3 + 4\/(-1)). Suppose o = l - 6*l + 160. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from okdookkooookkv.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5490446ml?\nAnswer: 0.0005490446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 4. Let l(z) = -3*z + z**2 + 0 - 4 + g*z**2 - 2*z**2. Determine l(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5 + (-34)\/85. Suppose -5*g + 39 + 11 = o. Suppose -g = -3*x + 29. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Suppose -6 = 33*g - 36*g. Suppose 2*x + g*x = 72. Solve -2*b = 5*h + 14, -5*b - 2*h - x = w*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 0.2 (c) -6\/5 (d) 5\/2 (e) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2679.74 meters to millimeters.\nAnswer: 2679740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11\/22)\/((-22)\/12 + 2). Suppose -48 = -7*i + v*i. Solve -q + i = -4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 32 - 34 - 25)*(5*s - 3*s + s) in the form f + c*s and give c.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -3.776.\nAnswer: 1.1328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 285 + -283. Suppose -p + 51 = -f*w, -p = -5*w - 11 - 43. Calculate the remainder when p is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 16025*y + 1 + 16011*y + 0 + 16055*y - 48095*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 81764 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199040043?\nAnswer: 3, 739, 89779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*b + 1 = 0, 7*f - 2*f = b - 40. Let y(h) = h**3 + 8*h**2 + 10*h + 8. What is y(f)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-1)\/((-2)\/(-14)). Suppose n*k = 136 + 380. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1539) + (5 + sqrt(19) + 2)**2.\nAnswer: 65 + 23*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 11*l - 22. Calculate k(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*c**3 - 6\/5*c + 6\/5*c**2 + 2\/5.\nAnswer: -2*(c - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499*c + 415*c + 508*c + 497*c - c**2 - 1919*c - c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c**3 - c**2 - c. Let o be a(-1). Let u = -1 + o. What is the units digit of u + (-3 - (2 + -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -8.1. Let z be (-2)\/15 + 0 + (-771)\/(-45). Let o = z + -18. Put u, -2\/13, o, -16\/9 in decreasing order.\nAnswer: u, -2\/13, o, -16\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24 - ((-16)\/10)\/((-22)\/(-55)). What is the tens digit of ((-4)\/38 - 14949\/(-684))*h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29989 is divided by 344.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -54*p + 108. Let r(i) = i - 1. What is j(h) + 108*r(h)?\nAnswer: 54*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 75598.0229 - 89687\nAnswer: -14088.9771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/12, 0.5, -4, -0.1, 299?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4131, 8312, 12479, 16632, 20771?\nAnswer: 24896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpp when three letters picked without replacement from jjjjppjjjpj?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**4\/14 + 2. Factor w(t).\nAnswer: 2*t**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223982513 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -22*f - 26. Let g be y(-16). Let o = g - -393. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -14*y**2 + 22*y + 103. Let g(m) = -5*m**2 + 7*m + 34. Let r(s) = 6*d(s) - 17*g(s). Let n be r(-4). Solve 2*o - n = 0, -3*o + 6*o = i + 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9983099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 140081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1917642703.\nAnswer: 13913, 137831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 138*w**2 + 6*w - 440. Calculate the remainder when q(138) is divided by 212.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - ((-36)\/(-2))\/(-2). Let r(p) = p**2 - 4*p + 4. Suppose 0 = -d - 3*d + 52. Calculate the remainder when r(l) is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -40, 69, 476, 1325, 2760, 4925, 7964?\n\"Answer: 24*z**3 + 5*z**2 - 74*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/4)*v\/(v\/v**(1\/2))*v*(v**(2\/3))**(2\/159) assuming v is positive.\nAnswer: v**(3355\/1908)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29 and 3371?\nAnswer: -97759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/28*3087*44\/(-4752).\nAnswer: -49\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -297\/2 - -149. Let f = -1 + -2. Let g be (1\/12)\/(f\/(-27)). Which is the fourth smallest value? (a) g (b) -0.3 (c) 0.3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - -5 - 5 - -6. What is the greatest common factor of 99 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h - 224. Let k be w(34). Let c = -11 - k. Calculate the lowest common multiple of 188 and c.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2835.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -340, -669, -998, -1327?\n\"Answer: -329*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4121056831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 11*n**3 + 2*n**2 - 4. Let t(h) = -32*h**3 - 7*h**2 + 13. What is -2*t(d) - 7*u(d)?\nAnswer: -13*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 4 - 14879*y + 14883*y - 2*y**3 + 7 in the form t*y + u*y**2 + w*y**3 + v and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 164977141 and 2.\nAnswer: 164977143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3039747 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 509711924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -12*j**4 + j**3\/2 - 23*j**2 + 37*j. What is the second derivative of p(g) wrt g?\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -565.324575 rounded to zero decimal places?\nAnswer: -565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 70146903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39.8 + 379.4. Let i = 340 - l. What is the biggest value in 9, i, 2\/11, 0.2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94757355 and 759?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11 from 7.8.\nAnswer: 18.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 35. Suppose 0 = -2*d - l + 7. Suppose -2*q - q - u + 17 = 0, -d*u + 3 = q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 1, -3\/2, -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133558134.\nAnswer: 2, 566779067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 82*n**2 + n + 2. Let p be i(-1). Let z = -10 + p. Suppose 51 + z = v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208511 is divided by 1829?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c*(c**6*c)\/c)\/c)\/c)\/c)\/c**(-1\/2))\/(c**(-1\/2)\/c*c\/(c*c**(-3))) assuming c is positive.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/151486 and -15\/4.\nAnswer: 302972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345664863?\nAnswer: 3, 4549, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9587475 times -5.9?\nAnswer: -56566102.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 1 + 2)*(-2*h**2 + 2 - 5*h**3 + 3*h**3 + 0) to the form y*h + r*h**2 + z + u*h**3 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**4\/13 - 15386*z**3\/13 + 603258*z**2\/13 + 1252666*z\/13 + 634024\/13 = 0.\nAnswer: -7732, -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 7:37 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-5)*(-555)\/2442\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b**3 - 50*b - 49. Determine f(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, g: 1, x: 4, n: 1, r: 4, b: 2}. What is prob of picking 1 n and 1 g?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3*x - 4*x + 8*x - 235*x**2 - x.\nAnswer: -235*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-32)*b*b\/b**(2\/19)*b**(-2\/5))\/(b**(2\/7)*b*b\/(((b**(3\/2)*b)\/b)\/b))**(-5\/2) assuming b is positive.\nAnswer: b**(-69269\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 694*s**2 + 3*s - 695*s**2 + 826*s**3 + 2*s + 2 + 13*s.\nAnswer: 826*s**3 - s**2 + 18*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-18)*-27*((-12)\/(-27))\/4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 720148.05 to the nearest one hundred.\nAnswer: 720100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -194.18 and -0.414614.\nAnswer: -194.594614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (2 - (-11 + 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 178*f - 1179. Is n(8) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -151, -440, -1001, -1924, -3299?\nAnswer: -5216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**4\/24 + 5*s**3\/6 - 3*s**2. Let p(c) = 3*c + 14. Let m(l) = -l - 2. Let j be m(-6). Give j*p(y) - 11*d(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2981 + 4264. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8415541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-150)\/22 + 1 + (-8)\/44. Let b be (2\/h)\/((-3)\/81). Suppose -b*d = -3*d - 2520. Round d to the nearest 10.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 223725 and 7885?\nAnswer: 18569175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -63*y - 654. Is h(-15) a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, i: 5}. What is prob of sequence bi?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 - 4*q + 3. Let u be p(-6). Let i = 17 + 70. Let r = u + i. What is the remainder when r is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73173.01 centuries to months.\nAnswer: 87807612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 329713, 659424, 989133, 1318840?\nAnswer: 1648545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7110 a factor of 401523030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, d: 5}. What is prob of sequence ndd?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4251311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 17. Suppose -o + 1 = -r. Solve 0 = -5*m + 4*k + 37, -5*m + 15 + r = 2*k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 228\/47 and -54 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/10 - 1*-3) + 342\/90.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.615162kg in grams?\nAnswer: 4615.162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3.1. Let i = -1.6 + 1.5. Let d = i - l. Which is greater: d or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 4:37 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 999045798 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*i + 3 = 0. Let u(x) = 3*x - 7. Determine u(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42089, 42091, 42093, 42095?\nAnswer: 42097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 495?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-531)\/(-63) + 0 + -8 + (-705)\/(-329).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 23) + 11 - -38 - 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -w, w - 2 = -3*c - w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -331, -324, -299, -244, -147, 4, 221, 516?\nAnswer: 901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, j: 1, i: 2, t: 1}. Give prob of sequence wt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 450*q**3\/11 - 355170*q**2\/11 - 1330672*q\/11 - 1243424\/11.\nAnswer: 2*(q - 793)*(15*q + 28)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.34 + -2.4. Let u = -0.06 - p. Let w = 3 + -6. Which is the third biggest value? (a) u (b) w (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119 - -120. Put s, 2, 3 in descending order.\nAnswer: 3, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45384 and 1708.\nAnswer: 317688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018540764 rounded to five dps?\nAnswer: 0.00185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5944.00004866 + 5944. Round g to 6 dps.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**5\/60 + w**4\/12 + w**3\/3 + 4*w**2. Let f be b(6). Let i = f - 13. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 53*w**5\/20 + 3*w**4\/2 + 72*w - 29. Let t(p) be the first derivative of n(p). Find the third derivative of t(d) wrt d.\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 8 = 18 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*y + 39*y - 13*y**2 - 119*y + 39*y.\nAnswer: -13*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37878, 75769, 113660?\nAnswer: 151551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16630336?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/(-84)*-35)\/(2*1). Suppose i = h*c - 16, c - 3*i = i - 12. Solve 0 = m - c*w + 3*w + 2, -m = -3*w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**5*q**6)\/(q*q*(q\/((q\/(q**1*q)*q)\/q))\/q*q*q\/(q**7\/q)))\/((q\/(q\/q**(-1)))**(-16)\/(q\/(q*q**2)*(q\/q**(-2\/5))\/q)) assuming q is positive.\nAnswer: q**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 358, 798, 1414, 2206, 3174, 4318?\nAnswer: 5638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9556408*n**4 + 6302*n - 12.\nAnswer: 114676896*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is -879368 times -0.02?\nAnswer: 17587.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32010 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 311 (base 4) to base 16\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**3 + 9*h**2 + 5*h - 2. Let c(r) = 2*r**3 - 4*r**2 - 2*r. Let b(o) = 5*c(o) + 3*w(o). What is b(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 + 2*z**2\/3 - z\/3.\nAnswer: -z*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10752 + 10753. Solve i + 14 = 15*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a kilometer in meters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + 1235. Calculate the greatest common divisor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 905011.2 nanometers?\nAnswer: 0.9050112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {h: 3, k: 8, q: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = 5*w + 88. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*g**2 + 18*g**2 - 2*g**2.\nAnswer: -224*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10382068 or -10382060?\nAnswer: -10382068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - 8 - -4 - (-2 + -1). Let o = 8 - 7. What is the nearest to -0.1 in g, o, 2.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzweyzefyyzeqzewewez. Give prob of sequence zqzy.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p**3 + 6*p**2 - 3*p + 1. Suppose 0 = 3*c - 4*j - 33, -c + 2*c - 4*j - 27 = 0. Let f(s) = 5*s**3 + 7*s**2 - 4*s + 2. Calculate c*f(y) - 4*u(y).\nAnswer: -5*y**3 - 3*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-168)\/(-10))\/((-94)\/(-3055)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*0*(-3)\/12. Let d(t) = t**2 - 3. Let p be d(y). Put 5, 4, p in decreasing order.\nAnswer: 5, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 26858038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3260)\/(-978)*(-12)\/44?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.9, -9\/11, 2\/9, 1559 in increasing order.\nAnswer: -1.9, -9\/11, 2\/9, 1559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81254 = -4*i + f, 3*i - f = 2*f + 60954. List the prime factors of i.\nAnswer: 2, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 24920?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -1\/130, -16.7, -0.4, 44, -0.2?\nAnswer: -1\/130","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.141 + 0.139. Let g = n + 80.72. Which is greater: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4330 a factor of 448926999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11746 or 10969?\nAnswer: 11746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 371 - 1806. What are the prime factors of s?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Solve s + 1 = k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.94489976 to one dp.\nAnswer: -15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11360, -45561, -102564, -182369, -284976, -410385?\nAnswer: -558596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 20*p**3 + p**2 + p - 2. Let t = -55 - -59. Suppose 5*f = -20, k + 4*f - t + 19 = 0. What is the tens digit of x(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 35*t - 2470.\nAnswer: 5*(t - 26)*(t + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 8 + 100*n**3 + 0*n**2 + 0*n**2 + 1.\nAnswer: 100*n**3 - 2*n + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s + 7. Let b(l) = l + 3. Let t(f) = 7*b(f) - 3*v(f). Let u(n) be the third derivative of -n**4\/8 - 3*n**2. Determine t(u(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/9 and 59\/10092.\nAnswer: 30276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 8*o - 8 = -108 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -2. Suppose -h = w - 4. Let b be h\/(-4) + 328\/32. Calculate the greatest common factor of 33 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13490 + 13491. Sort 5, p, 14, -3, 3.\nAnswer: -3, p, 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 z, and 1 s when three letters picked without replacement from rzrbsrrrjarszrb.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((51\/(-2244))\/((-1)\/(-4)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -79. Let a = -24 - q. Calculate the remainder when a is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9964 is divided by 113.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 10*i**2 + 2*i - 10. Calculate d(-10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j = 42. Is 19 a factor of j*(3 + 3)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**3 - 6*j**2 - j + 4. Let n(v) = -v**3 - v**2 + 1. Suppose m - 1 = 12. Suppose m = -3*i + 1. Give i*n(z) + a(z).\nAnswer: -z**3 - 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**9)\/r)**5*r**(13\/2)\/(r\/(r*r*r\/(r*r**(-5\/6)\/r)*r*r)) assuming r is positive.\nAnswer: r**(-101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1602644.\nAnswer: 2, 149, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(8\/3)*(l**(-1\/2)*l)**(2\/175) assuming l is positive.\nAnswer: l**(-1397\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3359*v + 0 - 2 - 3377*v.\nAnswer: -18*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddxx when four letters picked without replacement from ffddeexfeefexdxxe.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 107) + 6 + -4. Let u = 76 + z. Let h = -15 - u. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 24710256?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.2 - -22. Let r = -0.2 - y. Let x = -8 - r. What is the biggest value in -2\/9, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d**2 + 38166*d - 5452 = 0.\nAnswer: 1\/7, 2726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -8\/747 and -20 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 2*x**2 + 3*x**2)*(0 - 1 - 1)*(8883*x + 45 - 19 - 8882*x).\nAnswer: -2*x**3 - 52*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.2091 millennia in years?\nAnswer: 64209.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0164, -0.3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 28 = 7*u. Suppose -5*d = -10, u*d = b + 8 - 6. Suppose 4*x - 35 = 9. Calculate the smallest common multiple of b and x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b - 82. What are the prime factors of u(24)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162 = -c + 160 - 328 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/73, -85 in ascending order.\nAnswer: -85, 1\/73, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*3\/(-18)*12\/(-8). Let a be (-2496)\/(-10) + w - 87\/145. What is a rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-4\/5)*i*i*i*i**(-2\/17)*i**(-1)\/(i\/(i*i**(-2)*i)))\/((i**(1\/4))**13\/(i**(-9)*i\/i**(-2\/11))) assuming i is positive.\nAnswer: i**(-37347\/3740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4 = a, -3*a = -5*v - 212. Let w = v - 104. Let m be (-4)\/10 - w\/30. Which is smaller: m or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-498299)\/(-4) - 2079\/(-924) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 16*l + 28. Let g be m(14). Suppose -p - 2*i + g*i - 91200000 = 0, -5*p + 2*i - 456000000 = 0. What is p rounded to the nearest 1000000?\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1141 - -1735. Does 22 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*l = -17, -5*o + 3*l + 55 = 8*l. Let d = 6415\/854 + -53\/61. Calculate the common denominator of d and ((-4)\/o)\/(7 - 1).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.972234mm to meters.\nAnswer: 0.005972234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -35. Suppose -6 = -5*g + u. Suppose 5*m - 1 = g*z, z + 3 = 2*m - 1. Calculate the greatest common factor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*k**3 + 0*k + 0 + 0*k**2 + 10*k**4.\nAnswer: 2*k**3*(15*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 4. Suppose 0 = -s*t - 10 + 50. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**4 + 984717*i**3*u - 39159*u + 447 wrt i.\nAnswer: -8*i**3 + 2954151*i**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fufuffffuff. What is prob of picking 3 u?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351 and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -48272*b + 95861*b - 45600*b as l + g*b and give g.\nAnswer: 1989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5258, -10455, -15640, -20807, -25950, -31063?\n\"Answer: n**3 - 5204*n - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 14*c + 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*y - 1)*(-834*y - 99*y - 41*y) + (3*y - 2*y - 3*y)*(4*y - 2*y - y).\nAnswer: -2924*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Let y = -8 + a. Put 5, 1, y in increasing order.\nAnswer: y, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312529?\nAnswer: 7, 44647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 6 = 4*i, -i + 5*o - 5 = -15. Let h be i\/(-5 - (-18)\/6). Solve h = 3*p + 6, 3*b - 16 = 3*p + 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 7. Suppose -8*o + 3*o = x. Which is smaller: o or 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 5*j + 13. Let g be x(7). Let o = 12 + g. What is the lowest common multiple of 1\/(1\/6) + -1 and o?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 2. Let p(u) = -1. Let s = -6 - -16. Let m(w) = s*p(w) - 4*x(w). Calculate m(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22213 - 22211. What is the nearest to -2 in z, 120\/17, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q*(q\/((q\/q**(-2\/41))\/q))\/q)*q**2*q**24*(q*q**(-4)*q*q)\/q assuming q is positive.\nAnswer: q**(945\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2854 * 1.\nAnswer: 2854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 41\/3 (b) 3 (c) -0.4 (d) 315\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -372 - 0?\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*j + 10. Suppose -j*f + 0*f = 15. Does 7 divide (-201)\/f - (-12)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 5*q + 2. Let l(d) = 3*d**2 - 9*d - 3. Suppose 149*y - 135*y = -140. Calculate y*p(r) - 6*l(r).\nAnswer: 2*r**2 + 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/1532938?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvtgvvgggvgt. What is prob of picking 1 t and 2 v?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6472693 - 3?\nAnswer: -6472696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 12) to base 11\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q + 45 = 32*q - 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.1 (b) 5\/6 (c) 0.6 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-10))\/(21\/(-70)). Let h be v\/(-14) + 128\/(-546). Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/7*1839712\/91680?\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2114220 (base 5) in base 10?\nAnswer: 35560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -3*s. Solve 2 - s + 3*j**2 + 3*j**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -g + 1, 0*g + 1 = -l - 3*g. Let a be 0 - l\/(2\/354). Suppose 513 = 4*t + a. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-304)\/(-32)*(224 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 m when three letters picked without replacement from kmmkkdkd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 0.4, -2\/7, 7, 0.087, -5 in decreasing order.\nAnswer: 7, 0.4, 0.087, -0.07, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -346500 rounded to the nearest ten thousand?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326131407.\nAnswer: 3, 7, 246509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12201 - -1201000002210?\nAnswer: 1200222220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -997*l**6\/30 + 688*l**2 + 4*l - 42. Differentiate n(h) with respect to h.\nAnswer: -3988*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1447382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/7171713 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 12247*z**2. Let o(r) = -2. Let i(x) = x - 6. Let u(v) = -i(v) + 3*o(v). Calculate q(u(p)).\nAnswer: 12247*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10111010001000110011 (base 2) to base 16\nAnswer: -ba233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgegykaay. Give prob of picking 1 g and 1 e.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**4\/4 + 13*u**3 - 993*u**2\/4 - 1319*u\/2 + 546 = 0. Calculate u.\nAnswer: -28, -3, 2\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - 4*b**2 - 1844*b - 5537. Determine d(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29232 and 224.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f - 5*f = 48 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 721107\/13 or 55469?\nAnswer: 721107\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 374409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3537*b**3 - 70*b - 1379995 wrt b?\nAnswer: -10611*b**2 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + w**2 - w + 1. Let d(l) = -l - 1. Let q be d(-1). Let a be (-2 - 2) + 0 + q. Let s(k) = -3*k**3 - 3*k**2 + 3*k - 4. Give a*u(x) - s(x).\nAnswer: -x**3 - x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 1\/12*f**2 - 1\/36*f**3 + 1\/180*f**6 + 0 + 10*f + 1\/60*f**5 - 1\/252*f**7 - 1\/36*f**4. Factor l(t).\nAnswer: -(t - 1)**3*(t + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + ((sqrt(6)\/sqrt(3))**2 - sqrt(2))) - (sqrt(20)\/(sqrt(10) - sqrt(10)*-1) + (sqrt(2)*-2)**2 + 1).\nAnswer: -3 + 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 9*h + 13*h - 20, -5*h = -4*s - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 743832 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -289\nAnswer: 3\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 3*p**2 - 2*p**2)*(-p - p + p) - 2*p**3 + 0*p**3 - p**3 + 1 + 0*p**3 + 19*p**2 - 17*p**2 - 3*p**3.\nAnswer: -4*p**3 + 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -1)*(-3)\/2. What is the common denominator of 55\/4 and 81\/(-4) - 1 - u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 19*v. Let o(y) = 10*y. Let f(a) = 7*o(a) - 3*r(a). Let s(m) be the third derivative of 7*m**4\/24 + 7*m**2 - 64. What is s(f(g))?\nAnswer: 91*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 83325 divided by 1111?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3444\/210*(4 + -3)*6\/20. Which is bigger: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4551 times 6331?\nAnswer: 2881.2381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190538 and 10246?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-650)\/100*(-20)\/(-52).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -18326, 0, -7 in descending order.\nAnswer: 1, 0, -2, -7, -18326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 1:57 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12146 + -7999. Suppose 4*y + 47*f - 4145 = 46*f, 0 = -4*y - 3*f + q. List the prime factors of y.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 - (80 + -32) - (-25 + (2 - 5)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77*85.\nAnswer: 6545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.059, 1, 0.347, -1\/6, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from {r: 3, z: 4, t: 3, h: 3, f: 3, g: 4}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 4*z**3 - 94*z**2 + 574*z - 264 = 0?\nAnswer: 1\/2, 11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -88 - -1888705?\nAnswer: 1888606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 16 - 13*w + 3*w**2 - 2*w**2 - 2 + 3. Let s be z(12). Solve -2*c = s*o - 15, -3*o - 3*c + 18 = -0*c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15655 and -12.\nAnswer: 1.8786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -8 - 48. Suppose 0 = 4*w - w - 3*h, -3*h = 4*w + p. Does 8 divide (-4)\/w + 1 + 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1221 - -2130213?\nAnswer: 2132100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 5 = 2*y, 0 = -y - y + t - 748 + 747 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59278712 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/4))**(-2\/11) assuming a is positive.\nAnswer: a**(-3\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 + 46.5. Let r be 6*(-10)\/(-108)*279\/465. Sort r, q, -1\/2, 5 in increasing order.\nAnswer: -1\/2, r, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*n + n + 44, -2*n + 28 = -3*o. Let l be (n\/(-36))\/((-3)\/27). What is the derivative of a**l + 3*a**2 - 6 - 7*a**2 - 3*a**2 wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7155 and 81?\nAnswer: 21465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**4*x**2 - 3*b**2*k + 3*b**2*x**3 - k*x**3 + 8*k*x**2 - 67*x**3 wrt b.\nAnswer: 4*b**3*x**2 - 6*b*k + 6*b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -732 + 732. Suppose -4*y + 121 = -x, w = 5*y - x - 38 - 113. What is the remainder when 208 is divided by y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53640595?\nAnswer: 5, 101, 106219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3227 + 3229. Suppose 5\/2 + 15\/4*y**3 + 5\/2*y**p - 35\/4*y = 0. Calculate y.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 + 368 = -2*m. Let r = -28 - m. Calculate the remainder when r is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p**2 + 16*p + 13. Let a(d) = -3*d - 159652*d**2 - 6 - 5*d + 159654*d**2. Determine -5*a(q) - 2*f(q).\nAnswer: -2*q**2 + 8*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -9.2. Let t = 12 + -11.88. Sort r, -0.5, t.\nAnswer: -0.5, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -118*l - 2. Let n be a(-4). Suppose -3*x + n = -2*b, -4*x + 2*b + 632 = -2*b. Calculate the highest common factor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 32*z**2 - 5*z + 2. What is the units digit of j(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-2835)*3 - (-376789)\/(-13965).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and -12936.64.\nAnswer: -905.5648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.7 + 8. Let u = 0.1 - d. Sort 0.02, u, -0.5.\nAnswer: -0.5, u, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -287?\nAnswer: -12\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.98814um in nanometers?\nAnswer: 20988.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from assassyyaass. What is prob of picking 2 s and 2 a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 290*q**3 + 16 + 348*q**3.\nAnswer: 638*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475531.\nAnswer: 7, 67933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 3*i**2\/2 + 4*i - 2. Find the first derivative of h(g) wrt g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 28*r**2 - 18*r + 314. Let q be j(-29). Which is the closest to -1\/4? (a) 63 (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -213261*v**2. Let a(d) = 2*d**2. Determine a(q(w)).\nAnswer: 90960508242*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 25*h**2 + 428*h + 49. Give x(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/145)\/((-2)\/10)*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*g + 4 = -124*g, -22 = -y + 5*g. Calculate the remainder when 270 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p = 35 + 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 f when three letters picked without replacement from {f: 4, r: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 30 = -5*z, -2*z + 5 = 3*z + 2*s. Suppose -q = -3*b + 807, -z*b = 2*b + q - 1337. Suppose -w - b = -5*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 278\/(-105) - 1 - (2 + -6). Let k = m - -1\/21. What is the nearest to -4\/3 in 2, k, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -36.5.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/153750 and 7\/2337.\nAnswer: 2921250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -295365, -295364, -295363, -295362?\nAnswer: -295361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -123263, -246380, -369499, -492620?\n\"Answer: -y**2 - 123114*y - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-20))\/(8\/(-40)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133 - 31?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -6*f + 1371. Let u be 18\/(-42) + (-22450)\/(-35). Let q = f + u. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + q - 14, 3*y = -5*q - 16 - 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(176) + 2)**2.\nAnswer: -24*sqrt(11) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89341?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/3 + 13072*u\/3 + 4140552 = 0 for u.\nAnswer: -5382, -1154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10856443 is divided by 192?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -29*q + 7. Let k(o) = -145*o + 34. Let x(n) = -11*b(n) + 2*k(n). Let h be x(2). Let y = 71 - h. Calculate the greatest common factor of y and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7 + 1 = 0. Let d = -2 + o. Solve -3*s - 7 = -d*v, -5*v + s = 2 - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -7450131*x**5\/7 - 16778694*x**4 - 448891284*x**3\/7 + 110435880*x**2\/7 - 6573696*x\/7 - 1536\/7 = 0.\nAnswer: -8, -2\/8593, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 257923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -10. Suppose 0 = 2*o - l - 6, -l = -o + l. Let k be 28 + (6 - (o + 0)). Calculate the highest common factor of y and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24912580547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*z = z - 5110. Calculate the least common multiple of 370 and z.\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 78.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lff when three letters picked without replacement from {r: 3, l: 9, g: 2, f: 5}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 3:23 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -196*p**5 + 849*p**4 - 849*p**4 - p**5 + p**5 + 2*p**5 + (-4 + 6 - 4)*(-p**2 + p**2 - p**5) + 2*p**5 + p**5 + 0*p**5.\nAnswer: -189*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 + 94.2. Which is the third biggest value? (a) u (b) -4 (c) 0.3 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 10 = 3*c. Suppose 4*o = c*o - 12. Suppose -o*n + 5*n - 62 = 0. Solve 2*x = -2*k + 13 + 1, 5*k = -4*x + n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**2 + 8 + 4*b + b**3 - 14*b + 11*b. Let p be o(-6). Factor 5*q**3 + 0 + 3\/4*q**p - 1\/2*q.\nAnswer: q*(4*q - 1)*(5*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*c + 267*c = 3136. Let b = 472 + c. What is the remainder when 42 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 2*q**2 - 2*q - 5. Let u be a(3). Let m be (-12 - -16) + (-2)\/u. Put 2, m, -5 in increasing order.\nAnswer: -5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(2*j + 113 - 113) + 34*j - 34*j + 240*j.\nAnswer: 238*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -53*-1394.2\nAnswer: 73892.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of g**4\/2 + 5*g**3 - 11*g**2\/2 - 17*g - 45. Let i be m(-8). Solve i*q + 10 = 9*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 - 3 + 4 - 5 + 0 + (1 - 4 + 4)*(1 + 2 - 5) + 3 - 2 + 1)*(-11 + 11 - 4*a)*(0*a**2 + a**2 - 5*a**2).\nAnswer: -144*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbelxilxxeeh. Give prob of picking 1 b and 1 e.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 10*u**2 - 91*u - 1069. Give n(-11).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/7)*i\/(i\/(i**(1\/2)*i)))\/(((i*i**2*i*i)\/i)\/i**6)*((i**0*i)**(3\/32))**47 assuming i is positive.\nAnswer: i**(1803\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 3*n**2 - 14*n - 7. Suppose 40*s = 32*s + 48. Let q be a(s). Calculate the highest common divisor of 187 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**3\/2 - 35*j**2\/3 + 65*j\/6 + 5 = 0. Calculate j.\nAnswer: -1\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2. Suppose 4*i - 4 = 2*i. Suppose -1 = -i*g + 3. Let f(h) = -h**g - 4 + 8 - 4. Determine m(f(b)).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.19 + -10. Let q = h - 0.19121. Round q to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309995 is divided by 154803.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 3*n + 8, 0 = -3*h + 4*n + 226. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5939 a factor of 787398462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2160)*2 + sqrt(2160))\/(-2*sqrt(500)*-6))**2.\nAnswer: 27\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19 or -96?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 46876.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v. Let t(p) = 4*p**2 + 10*p - 10. Suppose -3*m + 6 = -m. Let o(n) = 1 + 10*n - 5 - 7*n + n**2 + 1. Let f(a) = m*t(a) - 10*o(a). Determine b(f(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-300)\/14)\/(45\/(-420)). Calculate the remainder when 978 is divided by 9825\/v + (-1)\/8.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 10) to base 3\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-12)*o)**(1\/14) assuming o is positive.\nAnswer: o**(-9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 71*r = -360, 14*s - r = -4*s + 13*s - 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = n - 2*t, 0 = -3*n - 3*t - 97 + 289. Suppose -4*v + 132 = -n. Suppose p + u = -0*u + 59, -v = -p - 4*u. List the prime factors of p.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1103 - 3308\/3. Suppose -24 = 2*a + a. What is the nearest to g in -2\/7, 2\/9, a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-t + 0*t + 0*t)*(-5*t + 4*t - t) - 190*t**2 - 196*t**2 - 7 + 379*t**2 - 2*t)*(3 + 0 + 0).\nAnswer: -15*t**2 - 6*t - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 27, -14, -2, -4 in decreasing order.\nAnswer: 27, 3, -2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let f(j) = -8*j. Let t(o) = -o - 3. Let u(m) = 3*m + 8. Let d(b) = -8*t(b) - 3*u(b). Let a(c) = 21*d(c) - 3*f(c). Give a(n(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1385 and 43212.\nAnswer: 216060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0057496 rounded to 4 decimal places?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3610236 (base 7) to base 14.\nAnswer: -bc41d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 11:16 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15044, 16544, 18042, 19538, 21032?\nAnswer: 22524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/26 - 26\/169. Let p = 109 - 106. Let m(g) = g - 2. Let y be m(-3). Sort p, y, b.\nAnswer: y, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, c: 5, p: 1, b: 6}. Give prob of sequence cc.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -21 + 22. Let q be 16*7 + (-4)\/x. Let w be ((-4)\/6)\/(24\/q). Which is bigger: w or -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 330 and -0.3?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a0 (base 13) to base 14.\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -74. Let x = g + 38.7. Let u = x - -1.8. What is u rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2940 = -142854881*q + 142854741*q for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -266 (base 7) to base 10\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 7*x + 28. Let m = x + -6. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -23. Put k, 5, 1 in descending order.\nAnswer: 5, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -151 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7828418 - 6?\nAnswer: 7828412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34376 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196700.\nAnswer: 2, 5, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39791440, 39791445, 39791450?\nAnswer: 39791455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, u: 3, i: 4}. Give prob of picking 1 u, 1 i, and 1 z.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5c4a - -4?\nAnswer: -5c46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40510 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 0)*(2*t - 8*t + t) + (-4 + 4 + 3)*(-4*t - 2*t + 5*t) + (-5 + 4 + 4)*(-2*t + 5*t - t) + 2 - 2 - t.\nAnswer: -23*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**4 + 0*i**4 - 3*i**4)*((-i + 0*i + 3*i)*(1 + 1 - 6) + (6 + 0 - 4)*(-2*i - 2*i + 6*i) - 20*i - 31*i + 13*i).\nAnswer: 210*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*i = 5, x + 4*i = -x - 26. Let o(j) = j**3 + 11*j**2 + 13*j + 5. What is the tens digit of o(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -20032?\nAnswer: -20032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -48 - -2?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46697\/170 - -4872\/17. Let z = -37\/5 + a. Factor -2 - 4*d + z*d**3 + 3\/2*d**2.\nAnswer: (d - 1)*(3*d + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkl when three letters picked without replacement from kdxllbdbh?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f + 55. Let w(t) = t**2 - 7*t. Let s be w(6). Is x(s) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 1\/2 (b) 3 (c) -3 (d) 0.311\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -5 (c) -2 (d) 0.16 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - 354?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b**2. Let h(t) be the second derivative of t**3\/3 - 3*t. What is h(n(l))?\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -3*f**5\/10 - f**3 - 3*f**2\/2 + f. Let i = 46 - 29. Let t(j) = 2*j**3 + 2*j + 1. Give i*t(u) + 6*l(u).\nAnswer: -2*u**3 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 101343?\nAnswer: 101354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/4, -5910, 0.5, -1\/2, 1, 2\/7?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*s + 1 - 2 = 0, 21 = 5*n + s. Let c be (-4 - (-22024430)\/n)*4. Suppose -c = -4*f + 2775586. What is f rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.02573.\nAnswer: -0.005146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**3 - 2*k**2 - 2*k. Let w be j(-2). Calculate the highest common factor of 288 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 1, 9, -3, -1, -9, 15.\nAnswer: -9, -3, -1, 1, 9, 15, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - b - 4)*(-b**3 + 4*b**3 - 2*b**2 - 4*b**3 - 6).\nAnswer: b**4 + 2*b**3 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (429\/(-22) + 9)*20\/35?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 25*c**8\/336 - 8*c**5\/15 - 7*c**2. Find the third derivative of h(n) wrt n.\nAnswer: 1500*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.79553382 + 10.79553518. Let f = 12.3 + -2.3. Let v = f - h. Round v to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1584 plus -392?\nAnswer: -1976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g - 5. Suppose 0 = g*b - 5*h + 100, 5*b + 45 = h - 35. List the prime factors of ((-70)\/b)\/((-2)\/(-3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h. Let x(d) be the second derivative of d**3\/3 + 129*d**2\/2 + 420*d. Determine l(x(b)).\nAnswer: -4*b - 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, y: 1, u: 7, q: 2}. Give prob of sequence qq.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 102*t**2 - 460*t - 2412. Give z(97).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h - 2*h - 11*h + (-3 + 3 + 2*h)*(-4 + 4 + 32) + (-2 + 2 + h)*(3 - 1 + 0) + 3*h - 3*h + 2*h - 2*h + 5*h - 2*h + (2*h - 3 + 3)*(-3 + 4 + 0).\nAnswer: 61*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -14 - 1. Let j = o - -6. Let u = 2 + j. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - -9*6\/(-9). Let y be ((-9)\/84*f)\/3. Suppose -z - 1 = 3. Which is the third smallest value? (a) -0.4 (b) z (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**3 - 3*m**2 - 6*m + 2. What is p(-3)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/28*13034\/399?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a second in milliseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -671 = 91*h + 77*h + 1681 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 10120 + 2*a**3 + 2*a**4 - 10120 - 3*a in the form f + u*a + m*a**2 + r*a**3 + y*a**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**8\/20160 + j**7\/1260 - j**6\/180 - j**5\/60 - 53*j**3\/6 - 4*j**2 - j. Let g(s) be the third derivative of x(s). Give g(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5391\/(-981162))\/((-1)\/26)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) 2\/9 (c) -3 (d) -0.16 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3) + 6\/(180\/(-170)). Put 4, 0, t in descending order.\nAnswer: 4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 109*v. Let p be s(0). Let j(c) = -15*c**3 - c**2 + c. Let x be j(1). Sort x, p, -5 in decreasing order.\nAnswer: p, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -17.4. Let h = z - 16. Which is the third biggest value? (a) -0.2 (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17676873 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: Expand -3 + 3 - m**2 + (-2*m**2 + 2*m**2 - 2*m**2)*(1 - 3 + 4) - m**2 + 0*m**2 + 2*m**2 - 3*m**2 + 0*m**2 + m**2 - m - 137 + 137 - 125*m**2.\nAnswer: -131*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*h + 15*h + 8*h + 9*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -7. What are the prime factors of p + (-14)\/(-2) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0 + 0)*(2 - 2 + 6) - 2*m + 4*m - 4*m + 2*m - 1 + 1.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 383 - 38 = -7*i - 15*i, -21 + 3 - 7 = 3*i - 4*j for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 502 = -462. Suppose -i + 4 = -5*i. Calculate the common denominator of ((-1)\/(-2))\/(i\/q*-18) and -79\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 7*q**2 + 8*q. Calculate the remainder when 33 is divided by m(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -146.5 + 147. Let x = 2.92 + 0.08. Which is the smallest value? (a) g (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 44*l + 90. Let d be v(-2). Let i(u) be the second derivative of 0 + 0*u**4 - 6*u + 0*u**3 + 1\/20*u**5 + 3*u**d. Differentiate i(m) wrt m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2. Let k(l) = 2*l - 260729647. Determine k(f(a)).\nAnswer: 4*a**2 - 260729647","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.054 - -1.946. Let f = 350 + -348. What is the second biggest value in 0.18, f, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2, 3, 11, -341807?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y**6*y)\/y*y)\/y)\/y)\/y*y**(-1\/34) assuming y is positive.\nAnswer: y**(169\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1539*a - 4. Calculate h(-1).\nAnswer: -1543","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Express (-12*h - 2*h + 7*h + (-5 + 0 + 3)*(h + 0*h + 0*h) - 4 + h + 4)*(7*h + 8 - 8) in the form n + m*h + q*h**2 and give q.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**3 - 6*t**2 - 6*t - 4. Let c(x) = 7*x**3 - 13*x**2 - 13*x - 9. Suppose 0 = 12*h - 4*h - 104. Calculate h*s(y) - 6*c(y).\nAnswer: -3*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 373888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 2*m - 5 = -p, -2*m + 11 = -5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-36)*(-4)\/(-1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25604896 is divided by 18514.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1421994153 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 18*x = -15*x + 88, -2*u - x = -44. Let m(y) = -y**2 + 41*y - 419. What is m(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1748 and 40?\nAnswer: 17480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -15*q + 10*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 6\/((-30)\/(-35)). Suppose 0 = -3*v + 15, i - 2*v - 18 = -5*v. Suppose -i*q - 240 = -c*q. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -196 divided by -14\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (101\/303)\/((-1)\/123).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (6 - (-6 + 2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rokk when four letters picked without replacement from {k: 5, r: 1, o: 7}.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2\/5 - 60624*u - 1212640 = 0?\nAnswer: -20, 151580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.96515 + -0.12885. Let c = n + -0.84. Round c to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.127 + 6.827. Let q = -80.23 - -72.6. Let j = r + q. What is j rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 1*sqrt(243) - sqrt(243))\/(4*(sqrt(9) - (sqrt(9) - sqrt(81))))*6*-3.\nAnswer: -9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2478*k**2 - 2*k - 1. Let h be x(-1). Let a = h - -54479\/22. Find the common denominator of 81\/12 + -1 + 1 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 750 + -750. Is 5 a factor of (c - (-825)\/20)\/(24\/320)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -746, -745, -744?\n\"Answer: o - 747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8*o - 3. Let p be (1320\/12)\/(-10) - -11. What is j(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.115101ml?\nAnswer: 0.009115101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108402 and 812?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27323 is divided by 5457.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*i + 22, 135*i - 134*i = -5*l + 14. Solve 31*v + i*v = 160 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -43*h**2 + 28*h + 59. Let d be k(-2). Suppose 0 = -5*w + 4*w + 4*c + 294, -5*w = -5*c - 1455. Let t = d + w. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5285*b**3*d*q**3 - 3*b**3*d*q**2 + 52*b**2*d*q**3 - 3*b**2*d*q - 5*b**2*q**2 + 23*b*d*q**3 wrt b?\nAnswer: 31710*d*q**3 - 18*d*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 5 + 0*b**3 + b**3 - 2*b + b**2. Let j be f(0). Suppose -r - 3*r = 16, -j*m + 3*r + 4597 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*c = 31, -3*v = 3*c + c - 26. Suppose -5*a = -v*a - 6. Factor 1\/3*m**a + 0*m + 0.\nAnswer: m**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**5\/8 - 873*r**4\/4 + 1749*r**3\/8 = 0?\nAnswer: -583, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-4)\/(-5) + -335*(-1102)\/725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -4.4.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, y: 2, i: 2, b: 3, t: 2, o: 5}. What is prob of picking 1 y, 2 i, and 1 o?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*w = 29 + 49 + 6. Let p(h) be the second derivative of 0*h**3 + 1\/35*h**5 - 3*h + 0*h**w + 0 + 1\/14*h**4 - 1\/105*h**6. Determine o so that p(o) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3265 is divided by 410.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-79 - -80) + (-1 - 11) + 3 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011111 + 10111010?\nAnswer: 110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 61? (a) -0.4 (b) -7 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67339478137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 84 = -176. Suppose 0 = -4*n - 0*n - z, 0 = -t + 3*n + 23. Calculate the remainder when 44 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.9 and -11?\nAnswer: -174.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 2 - -14)*4. Suppose 0 = -5*i + n + 11. Let j(m) = 4*m - 44. Calculate the remainder when j(18) is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7, -3, -11, -17?\n\"Answer: i**2 - 13*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-594))\/(((-140)\/(-21))\/(-10))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -221202000220?\nAnswer: 221202000202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-104)\/(7\/((-21)\/6)). Calculate the highest common factor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (129*s + 929*s + 2048*s)*(-4 + 1 + 4).\nAnswer: 3106*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3.1 (b) 1\/2 (c) -1\/8 (d) 5\/162 (e) -54 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 7:06 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 649 or 648?\nAnswer: 648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -422 * -4\nAnswer: 1688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 11*s - 15. Let j be y(-6). Let q(u) = -12*u**2 + 6*u + 3. Let t be q(5). Let l = -147 - t. Calculate the greatest common divisor of j and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0.008, -1\/4, 11\/2, -5.\nAnswer: -13, -5, -1\/4, 0.008, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-10) + 14\/5. Let n(t) = t**2 + 4*t - 3. Let w be n(-5). Let b = 0.08 + 0.02. Put b, w, d in decreasing order.\nAnswer: d, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 181119581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/38*(-39)\/117?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 + o - 4*o**3 - 4*o**3 + 203*o**2 + 12*o**3 - 3*o**3 as h*o**2 + y*o + a + u*o**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 7*c**2 - 6*c + 5. What is u(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16772\/(-30) - (-2)\/5. Let j = u - -565. Find the common denominator of j and (-6)\/(-12)*(-196)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.83 - -21. Sort 5, 1, v.\nAnswer: v, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 5*a**2 + a - 4. Let w be l(5). Suppose -10*u = -4*h - 12*u + 6, -4*u = -4*h + 12. Solve -6 = h*m - q, w = -m + 2*q - q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -u - 3*u + 105, -5 = -a. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51375 and 6165?\nAnswer: 154125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((-1*sqrt(143)*3 - sqrt(143) - sqrt(143) - sqrt(143)) + sqrt(143))\/(sqrt(121)\/sqrt(99)) + -6*(sqrt(1872) - (-1 + sqrt(1872) + 5) - sqrt(1872)))**2.\nAnswer: 16416*sqrt(13) + 256878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**5 + 0*t**5 - 3*t**5)*(3 + 2 - 3) - t**5 - t**5 + 3*t**5 + (-6*t + 2*t + 6*t)*(-t**4 + 0*t**4 + 27*t**4).\nAnswer: 55*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b**4 - 4*b**3 + 4*b**2 + 5*b. Let s(f) = 6*f**4 - 3*f**3 + 3*f**2 + 4*f. Let q(m) = -3*l(m) + 4*s(m). What is the second derivative of q(p) wrt p?\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 5, 9, 13, 17?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*d**2 - 16*d**3 - 205*d**2.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 20*r**2 - r + 68. Let a be q(-20). What is the remainder when 1 is divided by (-2)\/11*a\/(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 0*q**4 - 9\/20*q**5 + 13*q - q**3 + 0*q**2 + 0. Find the second derivative of c(z) wrt z.\nAnswer: -54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**3\/3 - 9*g. Let u(z) = -244*z + 3*z**2 + 244*z. Give u(n(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 19 = -4*u + 26, 0 = -4*x + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-105))\/((-6)\/90)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267213?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 2*g + 2 = 0, -4 - 2 = -3*m - 4*g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 785.4166 days to seconds.\nAnswer: 67859994.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*w**3 + 373*w**3 - 87*w**3 - 105*w**3 - 91*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1364*j**4*k**3 + 233*j**2*k**3 - 11*j*k**3 + 70*j + 2*k**3 + 2*k**2 - 3*k wrt j.\nAnswer: 16368*j**2*k**3 + 466*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 3001\/1156 and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 26*q**2 - q - 30*q**2 - 10*q**2 + 61*q**2 + 5. Suppose 2 + 8 = 2*a. Give c(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55851*n*s - 123479*s wrt n?\nAnswer: -55851*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-146)\/511 - (-2)\/((-14)\/(-23)). Suppose z = d*z - 8. Solve -u + 1 + 7 = 2*p, z*p = -u + 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 1, -4, -1\/31 in decreasing order.\nAnswer: 1, -1\/31, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 4*a**2 - 5*a - 4. Suppose 2*v - 4 = -5*d + 2*d, -2*v + 14 = -2*d. Calculate u(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103701 is divided by 103679?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5967 - 5965. Suppose 4*a + 76 = 5*a. Suppose -l*q + a = 2*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 10. What is the third derivative of 1 - 4 + 3*x**4 + q + 3*x**2 wrt x?\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**5\/20 - 5*i**4\/6 - 5*i**3\/3 - 3*i**2\/2 - i. Let d be f(-9). Solve d*n - 2*n + 4*h - 8 = 0, -h - 1 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3775700 divided by -44420?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**2*t**2*y + 18*i**2*t - 2*i**2*y + 3*i**2 + 6032167*i*t**2*y - 566*i*t*y + i*y wrt t?\nAnswer: 4*i**2*y + 12064334*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 10 = 2*p, -830*p - 24 = 4*d - 822*p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1056 + 1612. Suppose -o = -4*n + 2*t - 202, -12 = 4*t. Calculate the remainder when n is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -563051563 + 5?\nAnswer: -563051555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/5)\/(4\/(-8)). Let z be (3\/7)\/(16\/112). Which is the biggest value? (a) 0 (b) z (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h**3 + 5*h**2 + 3*h - 6. Let f(z) be the second derivative of -z**5\/4 + z**4\/3 + z**3\/2 - 5*z**2\/2 - 3*z + 12. What is 5*f(n) - 4*x(n)?\nAnswer: -n**3 + 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1*46771\nAnswer: -46771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -67\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -244\/161?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4))\/((-5)\/(-230)). Let g(b) = -b**2 - 9*b - 9. Let y be g(-8). Suppose 4*x + 3*r - 2 = -1, 0 = -3*x - r - 3. Put y, x, p in descending order.\nAnswer: y, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 21*m - 374. Let n be x(18). Solve n = -2*i + 6*i - 4*q, 3 = -5*i - 3*q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*i - 3*w, 4*i - 24*w + 19*w = 29 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203896884 divided by -4741788.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0.3. Let w be (14\/21)\/(8\/3). Suppose -2*r + 2 + 6 = 0. Which is the third smallest value? (a) s (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/11)*d)**(-9) assuming d is positive.\nAnswer: d**(-216\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 968 + -5?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - 19. Let s be (-20579)\/h*2\/(-185). Let b = s - -28\/1221. Find the common denominator of 63\/10 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.507 and 3.\nAnswer: 4.521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7116, -7111, -7106, -7101?\n\"Answer: 5*p - 7121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -0.2. Let s = -0.0346653 + -1.9653347. What is the closest to 3 in -5, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 199, 431, 1095, 2407, 4583, 7839?\n\"Answer: 36*i**3 - 20*i + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sejpptd. Give prob of picking 1 d and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 8*a = k - 154, -k - 3*a + 154 = 0. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**5\/5 - 28*h**2 + 30. Let s(a) = -4*a**2. Give s(t(i)).\nAnswer: -576*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 118, -251, -1630, -4547, -9530, -17107, -27806, -42155?\n\"Answer: -88*h**3 + 23*h**2 + 178*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = t + 61, -71 = -t + 6342*b - 6340*b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 59 + 30)*(-4*a + 5*a + 11*a).\nAnswer: 96*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m - 2*m - 5*m)*(-72*m**2 - m**3 - 2*m + 74*m**2 + 3*m**3).\nAnswer: -24*m**4 - 24*m**3 + 24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29\/7 + -33\/7. Suppose 0*g + 4*g - 2*r = 0, g = 4*r + 7. Is h greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 83*i**2 - 23*i + 89. Is y(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2396514 or -0.013?\nAnswer: -2396514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2 - 108996*d - 1485016002 = 0. Calculate d.\nAnswer: -27249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d - 361 = -d - 16. Let j(x) = x - 24. Calculate j(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*d - 18 = 0, 0 = 3*d - 4 - 8. Let n(l) = 3*l. Let p be n(1). Suppose 11 - g = p*h. Let q(o) = -o**3 + 3*o**2 - 3*o + 3. What is q(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8140713 a multiple of 553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*(-10220)\/(-511)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5 + 74*o**4 - 370*o**3 - 23770*o**2 - 22312*o + 46376 = 0. What is o?\nAnswer: -31, -22, -2, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 80 = -5*m + 73, 3*m = 2*a - 12. Solve -300 = 53*h - a*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*p - 14788, -49*l + 48*l + 3*p + 2948 = 0. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 5 = -4*f, 0 = -3*a + 2*a - 3*f + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -132310322 (base 5) to base 6\nAnswer: -22140521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -226*u**5\/15 - 2039*u**3\/6 - 4*u**2 - 23. What is the derivative of t(r) wrt r?\nAnswer: -1808*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**3 + 9*w**2 + 22*w - 9. Give m(-3).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**2 + 1. Let w = 465 + -458. Let k(l) = 13*l**2 - l - 3. What is w*f(j) + 2*k(j)?\nAnswer: -2*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 11:42 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, w: 2}. What is prob of sequence wnw?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 324, 1285, 2886, 5127, 8008?\n\"Answer: 320*w**2 + w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 4*f + 1040, -2*q = -4*f - 403 - 317. Let g = -302 + q. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 861608.\nAnswer: 861607.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 4*r - 285. Let g = 84 + r. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176\/66*(3\/5)\/(-1)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37231 + 28965723\/778. Let r = j - 9159\/2723. Find the common denominator of r and -115\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 312029 - 4?\nAnswer: 312025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11711, 11651, 11591, 11531?\nAnswer: 11471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43 + 43 + 24*a**2 - 4*a wrt a.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63869764 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -110111012?\nAnswer: -110111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2542*t + 8401 + 3946 + 2853 = 498*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60950 and 16542750?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**4)**(-4\/3)*q**15*q\/(q*q**(-4\/11)))**(-23) assuming q is positive.\nAnswer: q**(-4899\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 2:00 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 4 (c) 8346 (d) 10 (e) -5 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, d: 2, f: 4, p: 5}. What is prob of sequence dpp?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -22402*f**4 - 358428*f**3 + 380898*f**2 - 68*f = 0.\nAnswer: -17, 0, 2\/11201, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 6*d**2 - 5*d - 2. Let n(b) = 10*b - 197. Let a be n(20). Suppose m = 4*u - 17, 8*u - 10 = -m + a*u. Give z(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 - 1.3. Which is the closest to -1\/3? (a) 2\/15 (b) -2\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0. Let m be (-28)\/(-108) - v\/(-3). Do 1 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*t**2*w**3 + 4*t**2*w + 38*t*w**3 + 37*t*w**2 + 2*w**3 + 11*w**2 wrt w?\nAnswer: -66*t**2 + 228*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 390\/811 or 0?\nAnswer: 390\/811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9185450803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 38, 0.4, -2\/35, 3 in descending order.\nAnswer: 38, 3, 0.4, 0, -2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0862 - -0.0501. What is c rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/8995 and -103\/40.\nAnswer: 71960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 3\/8306, 1.6, 2\/5?\nAnswer: 3\/8306","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 0, 4, -2, -2\/259?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 - -5. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.25 and -13152.\nAnswer: -55896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3295249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -11*n + 2. Let o(m) = 6*m - 1. Let x(u) = -3*l(u) - 5*o(u). Does 14 divide x(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 7*i**2 - 5 - 4.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126512, 126273, 125638, 124409, 122388?\nAnswer: 119377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + x + 18 = 3*s, -18 = -4*s + 2*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -445 + 445. Let x(m) = 2*m**2 - 3*m - 7. Let p be x(-3). Let u = p - 17. Which is the closest to -1? (a) u (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/5678 and 43\/14.\nAnswer: 39746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27b3a2 (base 16) in base 3?\nAnswer: 11220012010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 80, 81, 82, 83, 84?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*g - 3*y, -8*y + 3*y + 20 = 0. Let u(o) = 24*o**2 - 2*o - 2. Let j be u(g). Let p = j + -23. Solve -5*r + 21 = p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -28*u. Let w be q(1). Let f = -5218\/3 + 1712. Let b = f - w. Is b <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 8 = -3*n + z, -2*n - 2*z = 4. Let v = -3 + n. Let j be (-8)\/(-16) - v\/(-1). Which is the nearest to -1\/2? (a) j (b) -4 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z + 18*z = 37*z - 141 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = z + 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/55? (a) 5 (b) 151 (c) -0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 i when three letters picked without replacement from iituuutustjutututst?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 2*c**2 - c + 1. Let m(g) = -4*g**3 + 54*g**2 - 63*g - 6. Let j(i) = -6*d(i) - m(i). What is the second derivative of j(b) wrt b?\nAnswer: -12*b - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6 + 26*z + 16*z + 15 + 27*z**2 + 85*z + z**3 + 0*z**3. Let n be d(-21). Which is smaller: 6\/23 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(1 + -2)\/1. Suppose 0 = 3*x - 5*k - 14, -2*x + v*k - 5*k = -1. Suppose -5*p - 91 = -4*t, 3*t - x*p = 2*p + 72. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 472910 and 10480?\nAnswer: 3783280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7)\/r)**(3\/4)\/(r**(-1\/2)*r**1) assuming r is positive.\nAnswer: r**(-41\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18071086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.7 and -0.099?\nAnswer: 2.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1258 by -82055.\nAnswer: -1258\/82055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*w - 0*k - 538, 0 = 2*w + 3*k - 219. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 35*i + 56. Let j be x(9). Is j <= -177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + -2 + (-120)\/(-5). Let i = 27 - c. Suppose 0 = -4*q - 3*k + 8, -k + 6*k + 10 = -2*q. Solve -12 = -r + i*s, q*s + 25 + 4 = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1556, 3105, 4652, 6197?\nAnswer: 7740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36377890541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 520 = v + 69. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 30 = 20. Suppose -v + 2*v = y. Suppose -v = -5*r - 0. Solve 4*j + 5*f + 6 = 0, -11 = -3*j + 2*f + r*f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*j**2 + 20*j**2 - 20*j**2)*(-j + j + j).\nAnswer: -53*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20215 is divided by 6738?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 168962\/6613 - 434\/17. Let o = j + -19093\/1556. What is the common denominator of o and -83\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 2, w: 3, g: 1, m: 3}. What is prob of picking 2 k?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**9\/18144 - l**8\/10080 - l**7\/504 - l**6\/270 + 31*l**3\/3 + 2*l - 18. Let f(o) be the third derivative of q(o). Factor f(i).\nAnswer: i**2*(i - 4)*(i + 1)*(i + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.27535494 to three decimal places.\nAnswer: 0.275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -2) + (91 - (-19 + (-4 - 1)))?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*t - 1916 + 1916)*(2 - 3 + 2)*(-69 + 12*t + 69).\nAnswer: -384*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420526 is divided by 3068.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (0 - -3)*(1 + 0) and 363?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 926 is divided by 605?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 413, 386, 359, 332?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3453 divide 62962002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-28))\/((4 - 2) + 8\/56)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 16. Suppose 0 = 5*z + 5*j - 155, 5*j + x*j = 5*z - 185. Let o = 65 - z. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2483 - -15035\/6. Let h = -248585\/42296 - -12\/5287. Find the common denominator of z and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 3, 34 in ascending order.\nAnswer: -5, 1, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**4\/5 - 152*p**3\/5 + 2758*p**2\/5 + 152*p\/5 - 552 = 0.\nAnswer: -1, 1, 30, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3))**(-5)\/((v\/(v**(-2\/9)*v))\/v**(-4\/3)) assuming v is positive.\nAnswer: v**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a second in milliseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 - 1427712*j**2 + 1427710*j.\nAnswer: 2*j*(j - 713855)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 12*y + 6. Let t be s(-13). Suppose -48 = -t*o + 15*o. Solve -3*r = r + o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 27 - 49. What is the remainder when 377 is divided by u?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**2 + 67*i + 14. What is s(23)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t**4\/17 - 1320*t**3\/17 + 928*t**2\/17 + 2976*t\/17 + 1184\/17 = 0. Calculate t.\nAnswer: -74, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2133 divided by -922.\nAnswer: -2133\/922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 20 - 12 - 8 + 2*y. Let k(f) = 13*f**2. Give k(v(i)).\nAnswer: 52*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - a**3 - 3)*(2*a + 0*a + 0*a) + 25*a**2 + 4*a**4 - 25*a**2)*(0*a + 2*a - a).\nAnswer: 2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21861601, 21861605, 21861609, 21861613?\n\"Answer: 4*i + 21861597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*z + 236*z + 6 - 9 + 7.\nAnswer: 203*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((40\/12)\/2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 13*b - 195. Let z be w(28). Is z greater than or equal to 172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.350066 decades in months?\nAnswer: 522.00792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 73. Let n = 28 - q. Let p = -12 - n. Which is the third biggest value? (a) -4 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -21 + (-1 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 82*b**3 - 15*b**2 + 59*b + 14. Let r(i) = -28*i**3 + 5*i**2 - 20*i - 4. Let z(l) = -17*r(l) - 6*w(l). Is z(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 10:28 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/15)\/4*2\/4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3013677 and 10197.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144447, -144442, -144435, -144426, -144415, -144402, -144387?\nAnswer: -144370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibigigiggiibiiggig. Give prob of sequence ibb.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -45*t + 187. Let k(y) = -45*y + 186. Let x(q) = -5*k(q) + 4*o(q). Is x(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5, 0 = -2*l + 3*l + d - 223. Suppose -p - 16 = -l. Calculate the common denominator of 55\/7 and (-1)\/(-5) + p\/70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 245*k**2 + 23*k - 23. Is t(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (4 - 224\/(-36)) - (-4)\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 times -0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.0044 - 0.9956. Which is the closest to d? (a) 0.08 (b) 0.07 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - (-3321)\/135)\/((-16)\/1160).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*1*285\/(-30). Suppose p - 3*p + z = 0. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 3:54 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**2*q**(-3\/2)*q\/(q**(-2\/13)\/q)*q**(3\/4)*(q\/q**(-1)*q*q*q**(-2\/7)\/q*q)\/((q**(-1\/4)*q*q)\/((q\/q**5*q)\/q)) assuming q is positive.\nAnswer: q**(249\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -13*n - 4. Let m be d(2). Let g = -27 - m. Suppose -1240000 = -g*h + 5*h. What is h rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*q + 11. Let x be (q\/(-7))\/(26\/(-91)). Suppose -c + 49 = x*p, p + 3 = -3*c + 15. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 4*o + 3. Let b be a(4). Let g = -24 + 28. Suppose -b*m - g = -1, 2*m = -i + 18. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*x - 485 = x, -505 = -5*r - x. Is 25 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 9, -1.3, -0.2, 2\/9, -0.4 in ascending order.\nAnswer: -1.3, -2\/3, -0.4, -0.2, 2\/9, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -5039229.51 to the nearest 1000.\nAnswer: -5039000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**3 + 7*o**2 + 1. Let n(y) = -83*y**3 + 4*y**2 + 136*y**3 + 0*y**2 - 51*y**3 + 1. What is -5*n(w) + 3*v(w)?\nAnswer: 2*w**3 + w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538 is divided by 136?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 31.2 (b) 0.1 (c) 5\/4 (d) 1 (e) 3 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -209\/11177 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.27 + 10.73. Let f = g + -11.00025. What is f rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2. Let z(f) = f**2. Let b(i) = -5*p(i) + 4*z(i). Let s(g) = -g**2. Determine s(b(n)).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-7)\/(14\/(-30)). Let p = -14 - y. Let g = -1.1 + 0.1. Which is the closest to p? (a) g (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 132901090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*s - s + 2*s)*(0 - 4 + 3) + 0*s + 0*s + 2*s + 0*s - 4*s + 6*s + 2*s + s - 5*s - s + 3 - 3 + (3 - 1 - 1)*(-3*s - s + 3*s) to i + v*s and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from jjfjfjsjjfftt.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454240?\nAnswer: 2, 5, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 - 9*o**2 - 1 - 4*o - 6*o**2 + 4*o**2 + 4*o**2 + 11*o.\nAnswer: -8*o**2 + 7*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 321 + 309 = 0. Suppose 4*x - 8*x + 3*u = -25, -x = -g*u - 4. Solve 2*r = m - 7, 2*r - x = -2*m + 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 7*d - 68 - 8, -4*q + 88 = -4*d. Suppose -498 = -3*p + 3*a, 137 = -4*p + a + 786. What is the highest common divisor of q and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + f + 1 = 0, f = 4*k + 2 - 9. Let r be 3*((-16)\/3)\/(-2). What is the third derivative of 8 + k*i**2 - r - i**5 wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76293*d**3*g**3 - 2*d**3 - 195*d**2*g**2 + 12*d**2 - 2*d*g**3 wrt g.\nAnswer: -457758*d**3 - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n - 22. Let t(m) be the first derivative of m**4\/4 - 3*m**3 + 5*m**2 - 4*m + 2. What is the smallest common multiple of h(3) and t(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 197942698 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b53 + 0?\nAnswer: -b53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*x + 128 = -0*x, x + 1 = 0. Let b be (80\/(-28))\/(156\/h + -4). Solve 6*t - b*t = -20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12124 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-4) - 0\/(-6). Let o = 39 - 36. What is the closest to -1\/2 in c, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/4 + 37131*v\/2 - 459570387\/4.\nAnswer: -3*(v - 12377)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 + 13*m. Let b(j) = -14*j**2 - 70*j. Let u(v) = 2*b(v) + 11*t(v). Let r(f) = -11*f**2 - 7*f + 1. Determine -3*r(o) - 7*u(o).\nAnswer: -2*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**2\/2 + 10*r + 4. Let l = 11 + -3. Let w be m(l). Solve 2 = w*i, i - 5 = -2*d + 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/15 - -18 - 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137922 is divided by 45970.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12007080?\nAnswer: 2, 3, 5, 33353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -11*d + d. Let n(p) be the first derivative of -7 + d*p**3 + 3\/2*p**4 + p + 1\/2*p**2. Calculate n(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2027*c + 28379. Let t be r(14). Suppose 3*j + 2*j - 10 = 0. Sort -4, j, t in decreasing order.\nAnswer: j, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/((l\/(l*l\/(l**(-2\/7)\/l))*l)\/l))\/l*l*l**0*l*l)\/(l\/(l*l**(-1\/3)*l))**(2\/3) assuming l is positive.\nAnswer: l**(424\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*z = 5189 + 2230, 4*z = -3*k - 5541. Let t be (70*-3)\/(201\/(-210) + 1). Let s = k - t. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2 = -8. Suppose -q*b + 9 = -x, 2*b - 2*x + 0 - 2 = 0. Suppose 3*v - 205 = b*j, -4*j + 271 = 4*v - 21. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2753 a factor of 729201859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 4*t - 2 - 6*t. Let y = -22 + 17. Let q be d(y). Solve q + 2 = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**2. Let v = -2 - -7. Suppose 3*n + v = 2. What is p(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + -9 - 2) + 12 + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 1. Let z be (-34)\/(-6) + 1\/3. Suppose c = -0*c - z. Give x(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -21, -39, -65, -99, -141, -191?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8891*s**3 + 11311*s**3 - 20197*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 9. Let y = g - -5. Calculate the highest common divisor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 10. Let d be ((-8)\/180)\/(1\/k). Put d, 0, -2 in ascending order.\nAnswer: -2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.935 + -0.065. What is the nearest to -2\/9 in r, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (450\/105)\/((-1)\/196). Round o to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g + 0 + 16 - 13 - 3.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1*sqrt(273)*1)\/(sqrt(84)\/sqrt(3)))\/(((sqrt(36)*1)\/sqrt(4))\/(sqrt(15)\/sqrt(80))).\nAnswer: -1 - sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(567) + -5 - -3*(sqrt(567)*2 - sqrt(567)))**2*6.\nAnswer: -2592*sqrt(7) + 54648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 75, 43, -7, -81, -185, -325, -507, -737?\n\"Answer: -y**3 - 3*y**2 - 16*y + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 23. Suppose -g - 2*g = -i. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2)*j)\/(j*j\/(j**17\/j)))**33 assuming j is positive.\nAnswer: j**429","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 440208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-49)\/84)\/7)\/((-8)\/(2400\/45))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*a + 92. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-15) - (-12)\/55. Let q = -5 + 10. Let z be 6*4\/18 - 2. What is the closest to -0.07 in q, z, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(-1)\/((-10)\/(-18)). Let l(i) = 3*i**3 - 2*i - 2. Let b(w) = 50*w + 402. Let r be b(-8). Let j(k) = -11*k**3 + 9*k + 9. What is r*j(c) + x*l(c)?\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11, -5, 81, -38, 4.\nAnswer: -38, -5, 3, 4, 11, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*w + 477 = 0, 213 - 7 = -2*v - 4*w. Let m = v - -216. Suppose 105*c = m*c + 218. 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 0.6302 rounded to 2 dps?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*s = -5 + 887 + 938 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3390053863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 + -34. Suppose h - 5*j - 35 = 0, 4*h + 3*j = -0*j + 25. Calculate the smallest common multiple of h and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 519.8292 kilometers to meters.\nAnswer: 519829.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 8*m**2 - 10*m + 15. Suppose 464*a = 470*a + 54. Determine o(a).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12345 - -12496. Calculate the remainder when 1200 is divided by t.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 48 = 2*p + 64, -3*p - 327 = -3*c. Factor -32*a + 1620 + c*a + 5*a**2 + 106*a.\nAnswer: 5*(a + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/447777 and 13\/99506.\nAnswer: 895554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*g + 23. Let s(z) = -z + 2. Let n be s(g). Suppose -n + 0 = -3*l. Solve l*t - 9 = -3*k, 4*t - k = -2*k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -12, 14, 35 in ascending order.\nAnswer: -12, -3, 0, 14, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9.6211969 and 23.\nAnswer: 32.6211969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 942679711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -201131101 (base 4) to base 14\nAnswer: -37d29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-17208)\/(-630) + -28)\/(9\/(-300))*10. Suppose -m - 4\/7*b**2 + 160\/7*b = 0. Calculate b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c - 4*c + 4*c. Let k(d) be the third derivative of d**5\/30 - 440*d**2. What is k(i(w))?\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -13016 + 13917 + w + 0*w in the form d + k*w and give d.\nAnswer: 901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 217830576?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -16. Suppose b + n = 4*l, -3*l = -2*b + 2*l - 2. Suppose 2*p - 5*j - 8 = b, 0 = p - 5*j - 6. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006001 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*r**3 - 4*r**3 - 28*r**3.\nAnswer: -59*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.54 + 0.14. Let v = -1.374756 + -0.0252415. Let j = y - v. Round j to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (-136)\/4) + 0. Let s = 8 + -5. Suppose -f - z + 316 = 3*f, -s*z - 332 = -4*f. Calculate the highest common factor of f and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 1 + 746*y + 0 + 7 as b*y + w and give b.\nAnswer: 746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 6*s = -0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6) + 145\/15. What is the second derivative of 5*l - t*l - 11*l**4 - 5*l wrt l?\nAnswer: -132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761770.\nAnswer: 2, 5, 17, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -3\/2 (c) 199 (d) 4 (e) -4 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + -1 - (-184)\/(-6))*-3. What is the greatest common factor of 120 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3616401?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.182479798 and 2.\nAnswer: 2.182479798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -2\/5, 2, 1, 1848.8, -4\/7?\nAnswer: 1848.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -714 - -1034. Suppose k = 55*a - 35*a. Calculate the remainder when 189 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4 + 1\/4*x**2 + 3\/2*x.\nAnswer: (x + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 71672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020208 rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r + 2*r + 2*r - 4 + 2*r + 4 + (3*r - 5*r + r)*(-5 + 3 + 0) + 60*r + 54 - 54)*(-2 + 0 + 3)*(0 + 2 - 3) to the form j + g*r and give g.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aanttttllbandb. Give prob of sequence lb.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 29 = 3*y, 4*u + 15 = 35 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -3) + 10 + -11 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0113040734 rounded to five dps?\nAnswer: 0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoxwveeeewoe. Give prob of sequence ov.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -2, -36, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 436286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26677 is divided by 722?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c + 60 = -31*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s = 52 - 109. Let d(v) be the second derivative of 3\/8*v**4 + 0*v**2 + 3\/40*v**5 + 0 + 1\/2*v**s - 5*v. Factor d(j).\nAnswer: 3*j*(j + 1)*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 + 6813*a**2 - 3407112*a - 538201500.\nAnswer: -3*(a - 1198)**2*(a + 125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 178 - 161. Solve 0*f + 3*a = 5*f - m, a = 2*f - 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*h + 6*h + 166*h - 46*h to the form u*h + x and give u.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f + 9*f**2 - 19 + 26*f + 17*f**2 - 28*f**2 - 11*f + 11*f**2.\nAnswer: 9*f**2 - 2*f - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 - 113341?\nAnswer: -113243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -64513.\nAnswer: -32256.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 10:17 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2497\/1669?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 111 = 5*k - 54, k + 3*t = 33. Suppose 12*r - 9*r - k = 0. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4180416.\nAnswer: 2, 3, 21773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 133 + 125. What is the remainder when b is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -1515*x**3 + 12*x**2 - 30*x - 8. Let q be v(-12). What is q rounded to the nearest 100000?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16825 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0928225 millennia to months.\nAnswer: 1113.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 22, -1\/4, 0.02, 1.2, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5.234 + 904568981.96\nAnswer: 904568976.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 14*t + 76. Let m be b(-5). Sort -6, -4, -1, m in descending order.\nAnswer: m, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 + 111. Suppose 5*l + 27 - 127 = u. Calculate the remainder when 55 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7 + 0 + 0 - 10*u. Let n(k) = -7*k - 5. Let m(t) = -7*n(t) + 5*w(t). Let y(f) = -11 + 23 + f**2 - 12. Calculate y(m(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/3 + 433988*m\/3 + 47086396036\/3 = 0. Calculate m.\nAnswer: -216994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1255436174506 and 0.01.\nAnswer: 1255436174506.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (3\/(-3) + 0). Suppose h*r + 6 = -0*r. What is the remainder when 62 is divided by (176\/33)\/((-1)\/r)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 0.5 (c) 1\/9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x - 5*x - 567*x**3 + 4*x**2 + 18*x + 10*x.\nAnswer: -567*x**3 + 4*x**2 + 20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*h*n**3 - 4*h*n**2 + 274*h - 86*n**3 + 9528*n wrt n.\nAnswer: 300*h*n - 8*h - 516*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1350\/(-105))\/15 - 124\/(-14). Suppose 0 = n*z - 41 + 1. Calculate the smallest common multiple of 90 and z.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.28811 centuries in months?\nAnswer: 89145.732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, -9, 2\/23, -0.5, 6166?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294 is divided by 101.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*f**5 - 2004*f**4\/5 + 18558*f**3\/5 - 14304*f**2 + 18195*f + 6300 = 0. What is f?\nAnswer: -7\/25, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -69. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9734 - 5189. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(3\/4)\/(c*c**2))\/(c\/c**(-2\/7))**(1\/4))**(-1\/2))**40 assuming c is positive.\nAnswer: c**(360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124145355530*a + 6*a**2 - 4*a**2 - 124145355530*a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 84707741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 280989?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 351*u**2 + 448*u - 91069. Give p(-353).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 1. Let t(m) = m - 8. Let i = 456 - 462. Let y(l) = i*f(l) - t(l). Determine y(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -480 + 1439\/3. Let k be (-4 - -4) + -6 + 6472\/1080. Put k, -0.1, 0.4, u in decreasing order.\nAnswer: 0.4, k, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 222973 and 781431?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 6*m - 6. Let x be r(-7). Let g(s) = 4*s + 1. Let b be g(x). Sort b, -3, 4.\nAnswer: -3, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 3\/10*b**5 + 0*b - 1\/12*b**6 + 52 - 7\/6*b**3 + 3\/8*b**4 - 3\/2*b**2. What is y in h(y) = 0?\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00725351 to 4 decimal places.\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.7, -2\/11, 5\/32?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -977276 divided by 488638\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 8:54 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6323 - 12658 + 6335 - 8892*j.\nAnswer: -8892*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1795573?\nAnswer: 13, 37, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*f - 497 = 6*f, 4*g + f = 406. Let t = g + -62. Suppose 0*k = 3*k - t. Solve 2*j - j - 1 = 0, 0 = -4*a - 3*j - k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 766872 to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 44*t - 12)*(11*t**2 - 6 + 6 + (2*t + 1 - 1)*(t - 2 + 2) + 4 - 4 - t**2) to the form i*t + y + z*t**2 + h*t**3 and give h.\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 1.25?\nAnswer: 1.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w - 20 = 0. Let d = -13\/83 - -3\/1079. Which is the nearest to d? (a) -0.1 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -4. Suppose -b = v*h, -5*b - 4*h = h. Suppose -22*w - 6 - 38 = 0. Sort w, 1, b in decreasing order.\nAnswer: 1, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*o = -f - 1502, 4*f - 2*o = 3004. What are the prime factors of f?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -925, -1851, -2779, -3709, -4641, -5575?\nAnswer: -6511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**4 - t**4 + t**4)*(2 - 12 + 1) - 2*t**2 - 492*t**3 + 492*t**3 + 2*t + t**4 to the form p + q*t**4 + c*t**3 + a*t**2 + v*t and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (-23 - (-19 + 29 + -19)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t + 8*t**3 - 2*t**3 - 3*t**2 - t + 665 - t - 664 to the form r*t**3 + a*t**2 + j + s*t and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126092639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75495082 to the nearest integer?\nAnswer: 8689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2273*u - 1176 + 1255 - 3822 - 5349 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-189)*(-13839)\/(-17793).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5773 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 5, 0, -37.\nAnswer: -37, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 14, 1, -5.\nAnswer: -5, 0.1, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.25 and 6.6.\nAnswer: 1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**5\/150 - 7*y**4\/45 - y**3\/45 + 14*y**2\/15 + 624*y. Let o(v) = 0. Calculate v.\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 491 + -491. Suppose 15 = 3*k - 8*k. Sort r, -2, 3, k.\nAnswer: k, -2, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f. Let o be n(-1). Suppose 3 = -o*h - 3*s, 3*h - 3*s - 14 = 1. Factor 2\/7 + 0*l - 2\/7*l**h.\nAnswer: -2*(l - 1)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*x + 2*w + 2*w, -4*x + 3*w = -9. Let t(n) be the second derivative of -1\/7*n**2 + 1\/28*n**5 + 1\/42*n**4 + 0 - 5\/42*n**x - n. Factor t(g).\nAnswer: (g - 1)*(g + 1)*(5*g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5399880 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((51\/816)\/((-2)\/(-16))). Let g = -0.22 - -0.2. Which is the nearest to -2? (a) g (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004204773883 rounded to 7 dps?\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 3*z**2\/2 - 6. Let w(k) = 2*k**2. Give p(w(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/7 and 1 + 0 - (-825)\/120.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 - -0.07. Let n = g - 0.0600006. What is n rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 - 33*m**3 - 29*m**3.\nAnswer: -58*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 b when two letters picked without replacement from bpqyauq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44*h**3 - 1240 + 1696*h - 21*h**3 - 21*h - 2*h**2 - 22*h**3 + 4811 with respect to h.\nAnswer: 3*h**2 - 4*h + 1675","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 17*h**2 - 6*h + 8. Let v = -20 + 25. Is t(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 1 (b) 4 (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -679, 14 in decreasing order.\nAnswer: 14, -12, -679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 995695 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - 1 - 1 - j)*(-2699 - 1378*j + 2699) + 2*j**2 - 1 + 1 + (-4*j - 3*j + 5*j)*(j - j + 2*j) + 0*j + 3*j**2 + 0*j as h + g*j + r*j**2 and give g.\nAnswer: 2756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -23*u - 1. Let r be m(1). What is the common denominator of ((-15)\/(-32))\/((-1)\/(-20)) and -1 - -2 - (-254)\/r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, 5, 3\/4, -44.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4 - 141*f**3 - 2188*f**2 - 9984*f - 7936 = 0.\nAnswer: -124, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*h - 3*d + 1, 10 = -5*h - 4*d. Suppose 3*u - 10499 = h*u. Let g = u - 482867\/46. Find the common denominator of -101\/14 and g.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 15. What is the least common multiple of n and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 29, 2\/15, 2, -6.5?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.25, 233, 10\/13, -1\/3, -3?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1575\/(-30)*(-8)\/(-10). Put -4, i, 4 in increasing order.\nAnswer: i, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3267) + 0)*5*1 + (sqrt(168)\/(sqrt(42)\/sqrt(6)))\/(sqrt(200)*1 + sqrt(200)))**2.\nAnswer: 8177403\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2814392 and 1624?\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 394*t**2*y**3 + 64*t**2 + t*y**2 + 3*y wrt y?\nAnswer: 2364*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31596331 is divided by 3953?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 180*k**2 - 8.\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(3 - 2*j - 3 + (0 + 0 - 2)*(-5*j + 6 - 6))*(-j - j + 7*j).\nAnswer: 80*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3051 + -1276. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -4. Suppose 0 = -r*o - 5 + 20, 0 = 3*z - 3*o - 114. Suppose m = -v - 3*m + z, 4*m = 2*v - 34. Solve 0*s - v = 5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3384*o**2 - 5*o + 6763*o**2 - 3*o**3 - 3380*o**2 - 3 to the form l*o + d*o**2 + r + n*o**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 142 - 589 = 0. Suppose -t + 55 = 4*t. What is the remainder when j is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4986*u**2\/5 + 5558*u\/5 - 4.\nAnswer: -2*(9*u - 10)*(277*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**4 - 381*d**3 + 10653*d**2 + 94269*d = 0 for d.\nAnswer: -7, 0, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2536.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5\/3 (b) -5 (c) 0.5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 9, -72\/5161, 1\/8?\nAnswer: -72\/5161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/10*60\/(-36). Suppose -s*k + 11 + 19 = 0. Sort -1, k, -0.3, -2\/15 in descending order.\nAnswer: k, -2\/15, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 10 = 108*q - 107*q, 5*q + 10 = 5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2 - 2\/(-12). Let z = -4.362 + 0.302. Let t = z - -0.06. Which is the closest to 2? (a) 0 (b) t (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(-7) + 19 + 2. Let m = h + -19. Let a = 162\/7 + -2085\/91. Is m bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 765901567 to the power of 1\/3, to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 9*y**2 - 10*y + 39. Determine i(3).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -181, -310, -511, -808, -1225?\nAnswer: -1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -387 + 483. Calculate the greatest common factor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 42 + 169 = -46*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -159339860 divided by -460\nAnswer: 346391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 63, -14, -317, -960, -2057?\n\"Answer: -19*j**3 + j**2 + 53*j + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fcc when three letters picked without replacement from ccccccccffcffcccccc.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f. Let y(d) = -84*d + 9. Calculate x(y(n)).\nAnswer: -252*n + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + p + 0*p)*(-1 + 2 + 1)*((-5 + 2 + 1)*(5*p - 2*p - p) + p + 0*p - 2*p) to the form x*p**2 + s*p + z and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -9. Let k(p) = 7*p - 2*p - w*p. Give k(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 11) to base 16.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/3 - (-38 - (-4 - -8)). Let x be 3*20\/c*3. Suppose 554 = 2*g + 4*m, x*m - 816 = -3*g + 3*m. Is g a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, c: 4, u: 3, l: 4, r: 1, j: 2}. What is prob of picking 1 j, 1 r, and 1 l?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7313439 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 10. Suppose -k = -2*m - 0. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.09 - -1.91. Put -0.8, k, 5, -7 in decreasing order.\nAnswer: 5, k, -0.8, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 7565 - 7565)*(-1 - 2 + 1).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 16*d - 12. Let w be t(17). Suppose x = 5*x, 2*n - w*x - 288 = 0. Is n a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8962.4596 + 9001.4595894. Let l = -38 + -1. Let v = b + l. Round v to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o*(o*o*o**(-1\/6)*o)\/o)\/o)\/o*o)\/(o**(-2\/7)*o))**(-2)*(o**(2\/13)\/o**4)**26 assuming o is positive.\nAnswer: o**(-2189\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10, 17, 12, -17, -82, -195?\n\"Answer: -2*k**3 + 6*k**2 + 3*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a, -1083*a = -2*x - 1078*a + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 187*o**2 - 3 + 3 + 200*o**2 - 361*o**2. Let z(i) = 97*i. Calculate z(c(t)).\nAnswer: 2522*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 224 + 56. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 57*z - 2497. Let s be j(44). Solve 113 - s = 34*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(3*(-4)\/(-12)). Let d be -3 + 128\/36 + u. Let n = 1 - 1. Which is smaller: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 3:05 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a kilogram in grams?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1712*h - 150*h + 274*h - 119*h in the form i + v*h and give v.\nAnswer: 1717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -25*((-4)\/(-6))\/((-2)\/15). Let o = -87 + 146. Suppose -o - m = -2*s. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 9*q - 5. Let s be z(8). Suppose -s - 2 = -5*i. List the prime factors of i*(14 + 0\/(-1)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117 - -139. Determine q, given that -p - 4*q**2 - 24 + 62 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j - 28*j = -3*f + 188, 3*j + 3*f - 534 = 0. What are the prime factors of j?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/53 - (10\/(-590))\/(1\/3052*371)?\nAnswer: 6\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2919 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 36*x**2 - 2 + 116*x**3 + 0*x - x - 112*x**3 - 34*x**2. Let y be k(1). Solve -7 = 10*n - y*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 224 - 221. Let a(z) be the second derivative of z**5\/5 - z**4\/4 + z**3\/6 + z**2 + 3*z. What is the units digit of a(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116086123?\nAnswer: 116086123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.7562, 13, 1\/2721 in decreasing order.\nAnswer: 13, 3, 1\/2721, -0.7562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3815645921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73\/(-219)*0\/(-2) + 2795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, c: 15}. Give prob of picking 2 b.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x - 1. Let s(t) = -8*t**2. Calculate v(s(g)).\nAnswer: -24*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2927, -1, 3, -39, -3 in increasing order.\nAnswer: -39, -3, -1, 0, 3, 2927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 573 - 0?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -9*k + 16. Let v be (3\/2)\/((-2)\/(-4)). What is the third derivative of -4*o**5 + 2*o**5 - v*o**k + 3*o**5 + 3*o**5 wrt o?\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*i - 57 - 15 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6144837 years to decades.\nAnswer: 0.06144837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, z: 5, i: 11}. What is prob of picking 2 z?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -32\/63, 2\/13, -2, -3, -0.4?\nAnswer: -32\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 57?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2157684?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 0.1, 16\/11, -4, -16\/7, 26.8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (6 - (-2 + 10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(171)) + -4.\nAnswer: -12*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21003 (base 4) to base 5\nAnswer: 4304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707 at most 3617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12182542 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/15 - 0)*-5. Let o be 8925\/12 - r\/8. Find the common denominator of (-4)\/(-14) + o\/140 and -29\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1331*u + 645*u + 1066*u.\nAnswer: 380*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -81. Suppose 3*g + q = 2*d + 2*g, -3*d - 2*g + 94 = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89115 and 850395?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*o + 1\/2*o**2 - 1 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6111757709 to the power of 1\/6, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(600) - (sqrt(600) + ((sqrt(600) - (sqrt(600)*2 + sqrt(600)))*2 - sqrt(600))))\/(4*sqrt(972) - (4*sqrt(192) + sqrt(12))).\nAnswer: -20*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*u + 16, 5*u - 28 = -3*r + r. Find the second derivative of -16*z**u + 2*z + 5*z**3 + 15*z - 5*z**3 wrt z.\nAnswer: -192*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*sqrt(136)*6)\/sqrt(8))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*u**2 - 5*u**3 - 1074*u + 1074*u + 61*u**2.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -608*t**2 - 11558*t**2 - 3726*t**2 in the form c*t + q*t**2 + r and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, u: 4, i: 1, f: 1}. Give prob of picking 2 u.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -12*w + 8*w + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 159.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + k**2 + 5*k)*(-34 - 14 - 14 + 41).\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89315.\nAnswer: 5, 17863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 8. Let i be x(8). Suppose i = 2*u - 3*u. Solve 0 = 2*k - 6 - u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -53*g**5\/20 - 71*g**3\/2 - 438*g**2. What is the derivative of u(h) wrt h?\nAnswer: -318*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8*(-1)\/3*2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4392640 by -3.\nAnswer: -4392640\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 3}. What is prob of sequence eff?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = -16*h - 3 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51*(-8)\/476*(-168)\/(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-692)\/(-6228))\/(322\/84)\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 93 + 103. Differentiate 275*p**4 + 3*p**3 - 3*p**3 - 301*p**4 - q wrt p.\nAnswer: -104*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-141)\/162 + 1)\/((-469)\/(-201)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 4. Suppose 20 = 4*r - 0*r. Suppose 0 = -3*s + 4*i - 21, -r*s + i - 5*i - 3 = 0. Which is the third smallest value? (a) s (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*l - 3*n = -6, 4*l = -5*n + 17. Suppose 451 = -110*t + 231. Let p be (l + t + 70\/(-5))\/(-1). Calculate the greatest common factor of 39 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 995.\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -146134593\nAnswer: -292269186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -5. Put -4, d, 5, -3 in ascending order.\nAnswer: d, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1979*u**2 - 2248*u**2 + 256*u**2 - u + u.\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 9978632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 12. What is the least common multiple of (-61)\/(-7) + 6\/21 + 3 and t(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccu when three letters picked without replacement from ucculeulecueuuuuuleu.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1099 and 2539?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -335794289 divided by 5.\nAnswer: -335794289\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 460\/138*144\/24?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0, -0.1375, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2711, 5, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1784.29 + 1784. Let f = 0.48 + -0.29. Let r = f + m. Which is the second smallest value? (a) 3 (b) 5 (c) 1\/3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -17. Solve 0*l = y*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -21, -255*l + 214 = 5*y - 257*l. What is the smallest common multiple of 3140 and y?\nAnswer: 6280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (179 - 250) + 38 + -46.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36 - 432\/16 - (-67)\/(-7)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(10)\/sqrt(5)*-5).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100001000 + -11100000?\nAnswer: 1000000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 46490021, 46490018, 46490015, 46490012, 46490009, 46490006?\n\"Answer: -3*b + 46490024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 33 + v**3 - 54*v**2 + 30*v**2 + 29 + 32*v**2 + 16*v. Let j be c(-7). Let d(x) = -1. Let f(a) = -1 + 21*a + 0 - 23*a. Determine j*f(p) + 2*d(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 908320 rounded to the nearest ten thousand?\nAnswer: 910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/4)\/(8\/(-32)). Suppose c + 3 - s = 0. Solve p - 6 = c*r + 4, r = -3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/1)\/(-4)*(-3)\/9. Let y be (9\/(b + 5))\/(1\/(-5)). Is y > -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2ca + 4?\nAnswer: 2d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29155 - 12182. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 150922*b**4 - 105732 wrt b.\nAnswer: 603688*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - 110?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*a**3*f - 2262*a**3 + 2*a*f - 431*a - 13 wrt a.\nAnswer: 48*a*f - 13572*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -78812411299 and -0.4.\nAnswer: -78812411299.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 807976 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 - 95 = -3*v. Suppose -65*s + 68*s = 9. Solve v*g + s*g = -5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1966 + 2*b - 10*b + 1966.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4\/2 + 15*r**3\/2 - 81*r**2 + 186*r - 132.\nAnswer: 3*(r - 2)**3*(r + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 + 3*h + 4*h**2 + 3*h**3 - 9 - 16 to the form f*h**3 + j + y*h**2 + x*h and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -125065*r**2 - 1000522*r - 5. Give o(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(110)\/(sqrt(11) - -2*sqrt(11)) + -4*sqrt(10)*1))\/(sqrt(128) + -3*sqrt(128) - (-4*sqrt(6) + sqrt(6))\/sqrt(3)).\nAnswer: 11*sqrt(5)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 385 = -5*s. Let u = 59 - s. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.344789 kilograms?\nAnswer: 3344789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sspqcepseppspscs. Give prob of sequence eqc.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -4, -1, 15, 582 in increasing order.\nAnswer: -4, -1, 11, 15, 582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3495 = 11*g + 3506. Let v(t) be the first derivative of t - 1. Let l(p) be the first derivative of p**2\/2 + p - 1. What is g*v(b) + l(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x**10*x*x)\/x)\/x)\/((x**(5\/4)\/x)\/x))\/(x**6*x*x*x\/(x*x**(15\/8))))**20 assuming x is positive.\nAnswer: x**(185\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72584 and 32?\nAnswer: 290336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (1 + -22 - (-8 - (2 + -4))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 33 = -4*o, -7*o - 3*t - 43 = -2*o. Let n be o\/24 + 10\/(-6). Let b = n + 1. Let w(d) = -d**2. Determine w(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -65, -125, -207, -311?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*y - 4*y. Let t be -1*(14 + y)*-2. Suppose -t = -4*g - 0*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38000\/33250*(-56)\/2*2.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-18) + 8\/(-12). What is the biggest value in 0.4, -3\/5, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 95585.4070317 and -1.3?\nAnswer: 95586.7070317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 - 1. Which is the third biggest value? (a) 0.3 (b) l (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*-1*sqrt(66) - (-2*(sqrt(66) - ((sqrt(66) - (sqrt(66) - (sqrt(66) + sqrt(66)*2))) + sqrt(66))) - sqrt(66) - sqrt(66))))\/(-1*1*sqrt(108)\/sqrt(2)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*z + 8*z - 9*z - 4*z to o + k*z and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35.885533 and -1?\nAnswer: 36.885533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/6 of a hour in seconds?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7669 + -0.3371.\nAnswer: 7668.6629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)\/sqrt(2) + sqrt(8))\/sqrt(4) - (-3 + sqrt(6)\/sqrt(3)))*3.\nAnswer: 3*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -130*s**4 + 7*s**3 + 7*s - 80. Let w(t) = -87*t**4 + 5*t**3 + 5*t - 53. Let n(z) = -5*u(z) + 7*w(z). Differentiate n(x) wrt x.\nAnswer: 164*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a minute in milliseconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*g - 35 - 75, -10 = 2*g. Suppose s - 2*k = 2*k + i, 2*s = -3*k + 38. What is the greatest common factor of 55 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - (-1 + -4))*(-8)\/4. Let l be h\/32 - (-31950)\/800. Solve l = 21*f - 13*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 8 = 12*t. Which is the nearest to t? (a) 2\/103 (b) 1 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 21. Let z(d) = m*d - 3*d - 3 - 4*d. Let c(k) = -k**3 + 4*k - 3. Let u be c(2). Calculate z(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -307 or -339?\nAnswer: -339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14551906 a multiple of 412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -47 - a7a2b?\nAnswer: -a7a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/95215 and -11\/155.\nAnswer: 2951665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-8) + (15 - 11))\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 12*w**2\/5 + 5644*w\/5 + 376 = 0.\nAnswer: -470, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 2*l + x + 25 = 0, -l = -4*x - 24. Suppose -34 = -5*y + l*y. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**5\/60 + 7*d**4\/24 - 5*d**3\/6 - 3*d**2. Let c be x(5). Let q(g) = -g**3 + 5*g**2 + g + 2. Calculate q(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2973665 is divided by 424809.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1*-2*16\/144*(-3)\/2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120 + 134. Let f be 78\/p + 24\/(-42). Solve -f*b - 18 = 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -17*s + 1. Let b be w(-7). Suppose 0 = 5*f + 2*t - t - b, 3*t - 110 = -5*f. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2365715 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 7. Suppose 0 = -s + 1 + 4. Let y be f(s). Solve -2*t + 5 = 3*t + 4*v, 0 = y*t + 2*v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 - 3*v**2 - 2*v + 33. Determine w(5).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88217143?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.45 times -11.7\nAnswer: -5.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 13*s**2 - 2*s + 1. Let n be f(1). Let t be ((-63)\/n)\/((-6)\/16). Let v = -2 + 6. Solve -6 = -v*l + t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -58*s - 14. Let d(h) = 19*h + 5. Calculate -4*c(b) - 11*d(b).\nAnswer: 23*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -7*q - 33. What is the least common multiple of 3 and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i. Let p(v) = -v - 4. Let m be p(-5). Let y be -6 - (-60)\/9 - (-20)\/6. Let f(s) = -y - 2*s + m + 3. Determine f(n(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*h + 3 = 0, 8*h - 4*h + 1 = v. Suppose -5*g - 9 = -34, -m = -v*g - 14. Let f = -21 - -34. Calculate the highest common factor of m and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4987*n**2. Let s(c) = -2421*c + 27. Give s(m(l)).\nAnswer: 12073527*l**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2367 and 26563?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12825 * 378.\nAnswer: 4847850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**1*h)*h)**15)**(-2\/85))**(2\/45) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 + 34. Let g = 34 + n. Let x be (-6)\/(-4)*8\/156*1. What is the third biggest value in -0.3, x, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + -4 + -1.\nAnswer: -5 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*i - 209, -26*w + 5*i + 462 = -24*w. Calculate the highest common factor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 10. Let t be 6\/3 + 1 - -2. Suppose 2*q + 2*q = -t*c - 2, 4*q - c = 10. Solve v*j + 16 = -5*z, 4*z - 3*j + q*j = -18 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2196 - -2198. Sort -0.5, m, -2\/3, 2\/9 in descending order.\nAnswer: m, 2\/9, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70989 is divided by 169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5471 - 1.53. Let g = -7.785 - -7.8. Let a = p - g. Round a to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42.5 + 41.8. Which is the second biggest value? (a) n (b) -5\/7 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.090627 - 118.\nAnswer: -118.090627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -3, -3*w + 19 = -3*j + w - 11*w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -1)\/(-105 - 10164\/(-88)).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -16, 1.7, -1\/2.\nAnswer: -16, -1\/2, 2\/3, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d + 2 - 14*d - 18*d + 46*d.\nAnswer: -4*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.4 or -93?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m. Let d(h) be the first derivative of -190*h**3\/3 + 33. Calculate q(d(u)).\nAnswer: -570*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8931.\nAnswer: 3, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a gram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -190670*u + 117. Is l(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303\/4 not equal to 77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d**2 + d**2 + 0*d**2)*(0 - 3*d + 0) + 2178*d - 2178*d - 72*d**3 in the form a*d + z + x*d**3 + b*d**2 and give x.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*d**2 - 48*d**2 - 57*d**2 + 34*d**6 wrt d.\nAnswer: 4080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -13, -5, 139, 1 in descending order.\nAnswer: 139, 4, 1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/14*21728\/19400?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**2 + 9*f - 6. What is n(6)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4672304210 + 4672304210 + 10*u + 3*u**2.\nAnswer: 3*u**2 + 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 304125 to the power of 1\/2, to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6835 and 3.063.\nAnswer: -20935.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7443, -7438, -7419, -7380, -7315?\n\"Answer: f**3 + f**2 - 5*f - 7440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**2 - 3225*b + 12980 = 0.\nAnswer: -649, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 412 - 382. What is the least common multiple of 4 and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/((2\/5)\/((-3)\/5)). Suppose 4*q = k - 1. Let z(c) = c**3 + 4*c**q - 4*c - 3*c**2 + 4*c - 3 + c. Give z(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f + 6. Let h(g) = -3*g + 5. Let b(l) = 6*l. Let x be b(1). Let q(m) = x*h(m) - 5*k(m). Let a(t) = -t. Calculate a(q(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.5 (c) -0.4 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/205 or 0?\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 398.2 + -399. Let z = -0.2 + 0.4. Which is the second smallest value? (a) z (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 5. Let o be m(-3). Suppose 0 = t + k - 1, -t - o*t + 2*k + 18 = 0. Suppose 29 = t*p - 31. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppzzzgzzeppzepzep. What is prob of picking 2 z?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1 + (-2 + 2 - 2)*(2 + 0 - 4)*(-2 + 2 - 2))*(0*z + z - 2*z - z - 3*z + 2*z + (z - 5*z + 2*z)*(-1 - 1 + 3) - 9*z + 17*z + 7*z).\nAnswer: -110*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 625 and 500.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 + 2851*f\/3.\nAnswer: f*(f + 2851)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1628 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11520839989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 9:55 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 57, -3, 0, -2 in ascending order.\nAnswer: -3, -2, 0, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 0, c + 30 + 0 = 3*s. Suppose -j - 7 = -2*p, -64*p + 60*p = 2*j - s. Solve -4*y = -3*n + 1, -p = -3*n + 2*y + 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**3 - 3*h**2 + h. Let u(y) = -12*y**3 - 8*y**2 + 4*y. Let w(k) = -11*j(k) + 4*u(k). Let q(i) = -3*i**3 + i**2 + 4*i. What is -5*q(d) + 4*w(d)?\nAnswer: -d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -774.52 - 4.48. Let f = z + 779.0000351. What is f rounded to six decimal places?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 10. Let m be t(-8). Suppose -2*q - m*o = 8, -2*o - 8 = -6*q + q. Let q + 4\/5*r**2 - 2\/5*r - 2\/5*r**3 = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/(-138)*2\/44*(-111)\/(-740)*-10\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.7 + -1.7. Let g(v) = -9*v**3 + 2*v - 1. Let m be g(1). Let p be ((-9)\/12)\/((-2)\/m). What is the nearest to 4 in p, -0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 92, 8, 9, 0, 4, 12 in ascending order.\nAnswer: -3, 0, 4, 8, 9, 12, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -9, 23\/13, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + (61 + -57 - (16 - -1)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 34\/18*1 + 48\/432. Solve -z*i + 2 - 6 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-189)\/6) + 12\/135\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1244 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3463?\nAnswer: 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*b**5 - b**4 - 207076*b**2 + 88878633*b wrt b?\nAnswer: 580*b**3 - 12*b**2 - 414152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11135 = -260*j - 1605 for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 3*o - 1. Let k be f(1). Suppose -8*t = -12*t + 8. Solve k*p = -t + 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + -2)\/((-12)\/(-112)). Let f be u\/(-4)*(-48)\/14. Let m = -39 + 99. What is the highest common factor of m and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4*r + 3 - 11 = 0, 3*r = 3*h + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t**2 + 4*t - 40. What are the prime factors of h(6)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 25 = -1. Let n be 1254140\/44*f\/(-20). Let v = n - -8549. What is the common denominator of 27\/8 and v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10617*h + 92 = -8*d - 10613*h, 5*h = -2*d + 7 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21281?\nAnswer: 13, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - 63. Let c = -37 - w. Let p = 39.0000019 - c. Round p to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -0.3, 19\/20 in descending order.\nAnswer: 19\/20, -1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1539.89 + -2602480.\nAnswer: -2600940.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 796238?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - -434?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -2*f. Let p = 3411 + -3402. Calculate the smallest common multiple of 2*(4 + (1 - f)) and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*(2\/10*-1)\/((-1420)\/(-3550))?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 953257\/1214 < 784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58*k**4 - 34005*k**3 - 3*k - 15095184?\nAnswer: 232*k**3 - 102015*k**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4476*j**6 - 98*j**4 + 2*j**2 + 3487535*j wrt j.\nAnswer: 537120*j**3 - 2352*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/8 - (-567)\/756.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -138*v - 3868. Determine t(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2866 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 200 - (-3 - -67) - 13 - (-1 - -20)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-210)\/4)\/((-153)\/204). Let d be (-7 + 791\/105)\/(4\/t). Factor 0 + 4\/3*j + 8\/3*j**5 + 12*j**3 - d*j**4 - 20\/3*j**2.\nAnswer: 4*j*(j - 1)**3*(2*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 4*w - 3. Let q be (2 + -1)\/((-7)\/(-28)). Is 15 a factor of t(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 + -1.6. Suppose 0 = -5*h + 64 + 176. Let i = h - 142\/3. Which is the closest to z? (a) i (b) -3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1043 + 1043 - 14*o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7.211519mm?\nAnswer: 7211.519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -4, 0.07, -11?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)*n)**(4\/13)*(n\/n**5)\/n**3 assuming n is positive.\nAnswer: n**(-439\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i - 15 = -85 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 - 5*z**2 + 12. Let v = 19 + -22. What is the units digit of r(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/6)\/(1\/69). Suppose 4*a - 28 = w - 5*w, -3*w = 5*a - p. Suppose 5*b + 4*q = 58, -2*b + w*q - q = -10. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -1) + 0 + 0 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72540 by -26.\nAnswer: 2790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 4*c + 34. Let b be z(-8). Suppose -4*a + 10 = b. What is the remainder when 9\/a*(-6)\/(-1) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 308*a**2 + 6828*a + 3408. Determine l(-284).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/2)\/(2 + 0). Suppose -5*a + 2*y + 30 = -x*y, 5*a = 3*y + 35. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103.825247 + -103.84. Round a to four dps.\nAnswer: -0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/50)\/((-285)\/25 + 9). What is the smallest value in -2\/11, 33\/5, v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-8)\/10*73\/146?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 7*o**3 + 2 + 3 - 6*o**4 + 7*o**4 + o - 4 as w*o**2 + r*o**3 + h*o**4 + u + g*o and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 9197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 596 = -z, 21*a - 3*z = 18*a - 456. Let j = 368 + a. Calculate the remainder when j is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnonnonnn. Give prob of sequence nnn.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 19 - (25 + 1 + -1 + -14)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 - -40. Let y(c) = -2*c - 21. Let t be y(z). Suppose -4*g = -9 + t. Solve r = g*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108\/1767 - 114\/(-1178)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/7 + 481620*i\/7 - 481622\/7.\nAnswer: 2*(i - 1)*(i + 240811)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2 + 3*u - 3. Let q(y) = -y**2 + 10*y - 7. Let h be q(9). Give o(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/77665 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32.2 and -0.1198.\nAnswer: 3.85756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*f + 8 = -14, 0 = 2*m - 3*f. Suppose -m*v - 14 = -2. Let i be (-4)\/(-40) + 2\/v. Sort i, 2\/9, 0.3 in descending order.\nAnswer: 0.3, 2\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 1438695?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27.1 + -17. Let o = g - 10.6. Let z = -3 - 2. What is the closest to 1 in z, o, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/2*y**3 + 3\/2*y**2 + 1\/2*y**4 + 1\/2*y.\nAnswer: y*(y + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 91 = 27. Let o = 23 - f. Let l = 24 + o. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85861207 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -210.7 less than -0.09?\nAnswer: 210.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -692\/115 + 120\/23. What is the second biggest value in -3, k, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 + 2*p**3 - 2*p**3 + (-59 + 2*p**4 + 59)*(-p - 2*p + 2*p) - 2*p**5 - 3*p**5 + 19*p**5.\nAnswer: 14*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 1. Let x be n(2). Let t = 0.2 + -0.3. Are t and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 119 + -124. Let o(a) = -a. Let h(s) = 2*s. Calculate m*o(b) + h(b).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02819699 to five decimal places.\nAnswer: 0.0282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 71, 59, 31, -19?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -872862, -872973, -873146, -873375, -873654, -873977, -874338, -874731?\nAnswer: -875150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 13. Let s = i + 16. Solve -2*z + 1 = -s*z, 2*t - 4*z = -4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 10*b + 6. Let n be q(10). Let g be (n\/33)\/(-1) - 2917\/(-11). Let a(l) = 2 - 261*l + g*l - 2. Let z(s) = -9*s. Calculate a(z(y)).\nAnswer: -36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*r + 3896*r + 92290 - 92290.\nAnswer: 3924*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-25 + 25)*2\/4)\/(-2). Let i(o) be the first derivative of 0*o**2 + 0*o**4 - 6*o**3 - 8 + 16\/5*o**5 + q*o. Find the third derivative of i(c) wrt c.\nAnswer: 384*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r - 1. Suppose 2*u + 29 = c, -58 - 33 = -4*c + 3*u. Calculate the remainder when c is divided by j(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-16)*(-32)\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(-2))\/(l\/l**(-30)))\/(l*l**22*l*l**(8\/9)))**(-2\/117) assuming l is positive.\nAnswer: l**(1006\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(2*(-2)\/6). Suppose w*o - 84 = -o. Calculate the remainder when o is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(((x*x**(1\/5)*x)\/x*x)\/x))\/(x\/(((x**7\/x)\/x)\/x)))**(-44)\/(x**(-4)\/(x*x**(1\/2)))**47 assuming x is positive.\nAnswer: x**(1353\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30680 and 26845.\nAnswer: 214760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 11*c + 4*c + 18*c + 7*c - 43*c.\nAnswer: -3*c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 2*v - 2. Let k(m) = 337*m**3 - 573*m**2 - 12*m - 12. Let g(j) = 6*a(j) - k(j). What is the third derivative of g(h) wrt h?\nAnswer: -1986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llwl when four letters picked without replacement from {l: 13, w: 6}?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1120428 by 93369.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ayw when three letters picked without replacement from {d: 1, a: 1, w: 1, y: 1, l: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 15 = 6*s. Suppose s*y = 4*g + 46, 3*g - 25 = -3*y - 7. Suppose -6 = -j + 12. What is the smallest common multiple of j and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 19*r - 23\/5*r**3 + 71\/5*r**2 + 1\/5*r**4 = 0 for r.\nAnswer: -1, 0, 5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d + 8. Let y(f) = 1. Let t(k) = -q(k) + 4*y(k). Determine t(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) + sqrt(108) + -5 + 0 + sqrt(108) - (-4 + sqrt(108)*1))*-2 + 4)*3*3*-5)**2.\nAnswer: -583200*sqrt(3) + 3572100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 343 = -237. Calculate the remainder when s is divided by 76.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/13648318 and 40\/31839.\nAnswer: 40944954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(30\/8)*1130\/(-13108)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -558*z**2 - 2*z + 8. Let f(l) = -1674*l**2 - 7*l + 28. What is 6*f(m) - 21*x(m)?\nAnswer: 1674*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.5093218 microseconds to days.\nAnswer: 0.0000000002026541875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 1849573.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**4 + 17*c**3 - 3*c**2 - c - 1. Let u(q) = q**4 + 167*q**3 + 715*q**2 + 1113*q + 501. Let f(r) = 3*a(r) - u(r). Determine i, given that f(i) = 0.\nAnswer: -21, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*j**2 - 63*j**2 + j**3 - 9 in the form n*j**2 + m + w*j**3 + u*j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + (-1*sqrt(14)\/sqrt(2) - (sqrt(112) + -1))))**2.\nAnswer: -90*sqrt(7) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**2 + 10*x + 35. Let d(g) = 29*g - 63. Let c be d(2). What is the remainder when f(c) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 244 + -159. Let f = b - 47. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 3*a. Let r be b(4). Suppose h + 1 = r*n, -4*h + 3*n = -0*h - 22. Suppose -3*f + y + h = -f, 0 = -4*y - 4. Solve f*w + w - 16 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 91352*d**4 - 81*d**2 - 2*d + 0*d**3 + 91354*d**4 + 0*d**3 as b*d**4 + r*d + m + v*d**3 + t*d**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -1. Let r(p) be the first derivative of -51*p**2\/2 - 255*p + 1718. Determine -r(c) + 255*v(c).\nAnswer: 51*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3467 (base 11) to base 15\nAnswer: -1535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -14) + -48 + 48. Suppose -o = -7*x + 14*x. Sort x, 5, 10, 1 in decreasing order.\nAnswer: 10, 5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/9, -0.2, 83\/4, -1 in decreasing order.\nAnswer: 83\/4, 3, 2\/9, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1177764 to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 45059221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 66412, 66410, 66408, 66406, 66404?\n\"Answer: -2*f + 66414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 30*t**2 - 64*t - 234. Calculate w(-28).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*s - 5*n, 0*s + 8 = 2*s - n. Let h(k) = k**2 - 11*k + 6. Let f be h(10). Let l be 1 + (-1)\/(f\/20). Solve -2*i - l = s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.31 - 226267087.3.\nAnswer: -226267084.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5*l + 133, -3*l - 2*l - 369 = -3*s. Let a = s + -117. Let k = 9 + -32. Put k, -2, a in decreasing order.\nAnswer: a, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.22 and -0.5.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85478*r**4 + 125*r**2 - 3*r - 33 wrt r?\nAnswer: -2051472*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 58649386 + -0.0605\nAnswer: 58649385.9395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -61. Let c be ((-366)\/(-12) - p)*-2. Let o = 148 + c. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((322\/210)\/(-23))\/((-3)\/108))\/((-518)\/(-555))?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 31*m - 13. Let v(d) be the first derivative of 4*d**2 - 3*d - 19. Let q(y) = -6*c(y) + 26*v(y). Let t(f) = -f**2. Determine t(q(o)).\nAnswer: -484*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 6 + 1 + 3 + 0 - 4 + (-1 - 4 + 0)*(0 + 1 + 1))*(-87 + 58*a - 2*a**3 + 176 - 2*a**2 - 94) as j + h*a + p*a**2 + v*a**3 and give h.\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 328 - 101 - 121 - 143 + 110*u as j*u + t and give j.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 44*r**2 + 395*r - 400. Determine o(32).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00505579773 to 4 dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 9*f + 12 = 11*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2668 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 0*w - 184 - 5*w + 191. Suppose 8 = n - 2*h, -2*h - 23 = -3*n - 7. Suppose 0*u = p - u - 8, -n*p + 26 = -2*u. Calculate o(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 - 6 + 21 - 4*d**3.\nAnswer: -d**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 417 = 1407. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 223? (a) 0.5 (b) -12 (c) -12\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 - 645?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10*(1 + -2) + -3. Suppose -p + w = -0*p. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {u: 1, n: 2, e: 2, g: 1, k: 1, f: 7}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/2 - 12*d**2 + 187*d\/2 + 105.\nAnswer: -(d - 7)*(d + 1)*(d + 30)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -46\/557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l - 34. Let w be x(6). Solve -4*g**2 + 7*g**2 + 0*g**w + 18*g = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 5 - 5 + (-2*y + 5*y - 5*y)*(3 + 2 - 6) + 170 + 38*y - 170 + 0*y + 4*y - 3*y)*(-3 + 4 + 0)*(4210 - 4210 + 78*y) to u*y**2 + d + k*y and give u.\nAnswer: 3354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -4. Let z = t + -5. Let r(c) = -8*c. What is the lowest common multiple of r(-1) and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from {x: 5, s: 7, e: 4}?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 25 = 2*x, 5*x + 0*k + 3*k - 31 = 0. Let q(h) = -1 - h**2 - x*h + 9 + 2 + 0. What is q(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 + 347201*n - 347201*n.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1647 + -1088. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 5604.\nAnswer: 11208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p - 87 = -19*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -616.9975913 and 41.5.\nAnswer: -575.4975913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -2 + 3\/2*r**2 + 0*r. Let p(y) = -48*y + 20*y + 14*y + 18*y. Give w(p(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 14. Let h = g - 3. Determine d, given that 0*d**4 - 8\/5*d**3 + 2\/5*d**h - 4\/5 + 4\/5*d**2 + 6\/5*d = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(2\/3))**(14\/11)*(c**2)**1)\/((c**(-1)\/c**(1\/4))\/(c*c**(-2\/7))**26) assuming c is positive.\nAnswer: c**(20555\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*m - 35*f + 31*f, -5*f - 45 = -5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -1124.7\nAnswer: -2249.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51088136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -28. What is the greatest common factor of 11 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 55\/48, -1, -4, 2, 6\/7, 8 in ascending order.\nAnswer: -4, -1, 6\/7, 55\/48, 2, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.458224 millilitres?\nAnswer: 0.005458224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 43 (b) -5 (c) -0.1 (d) 2\/11 (e) -0.3 (f) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*i - 4615 - 435 = -133*i. Sort i, 2, -1 in decreasing order.\nAnswer: 2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 3. Let w = c + -4.5. Put 0.2, 5, w in ascending order.\nAnswer: w, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2906171432 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.8 + -19.932. Let t = p + 0.131826. Round t to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1054662, 1054675, 1054688, 1054701, 1054714?\n\"Answer: 13*x + 1054649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d = 15*d. Suppose d = -27*g + 30*g - 933. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 9:01 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b. Let h(x) be the second derivative of x**3\/6 - 16*x - 3. Calculate g(h(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by -3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1615887995?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(2448))**2 + -5.\nAnswer: 96*sqrt(17) + 2459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -3 (c) -0.3 (d) 0.16 (e) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3295 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386607 = -19077*f - 7647 + 1185354 for f.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 88283543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 2*h**2 + 4. Let i be z(3). What is the nearest to -1 in -2, 4, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150614355 to the power of 1\/2, to the nearest integer?\nAnswer: 12273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**2 + 4*m - 2. Let n(h) = h**3 + 19*h**2 - 20*h + 11. Let o be 4\/(0 - 6\/(-3)). Let g(z) = o*n(z) + 11*s(z). Factor g(j).\nAnswer: 2*j*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235770.\nAnswer: 2, 3, 5, 29, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056 (base 8) in base 15?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 187, -4 in increasing order.\nAnswer: -22, -4, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 597, 3, -7 in decreasing order.\nAnswer: 597, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098100 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2. Let d(h) = 5*h + 8*h - 17*h. Calculate y(d(w)).\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37972381275 - 4*a - 37972381275.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 - 13. Let d(f) = 53*f**2 - 11*f - 21. Let g(j) = -29*j**2 + 6*j + 12. Let s(c) = -6*d(c) - 11*g(c). Give 3*m(x) - 7*s(x).\nAnswer: 2*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 163350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.07 + 2.98. Let j = -0.09 - l. Which is the nearest to j? (a) 0.2 (b) 0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30251448 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 817528097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 87*w - 71*w. Suppose 0 = r + 5*l - 514, 984 = w*r - l - 0*l. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388.0525m in micrometers?\nAnswer: 388052500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f. Let s(u) = -u. Let v(g) be the third derivative of g**4\/8 + 6*g**2. Let h(w) = -4*s(w) - v(w). What is h(d(n))?\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -529, -516, -495, -466, -429, -384, -331?\n\"Answer: 4*l**2 + l - 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjhjyrr. Give prob of sequence jrj.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4851 + -4536. Sort 0, q, 1, 2.\nAnswer: 0, 1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*c + 4*v + 53, 17*c - 22*c + 3*v + 75 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 4:00 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxt when three letters picked without replacement from xvxvvtjuxxvvxv.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -14. Let y = -11 - q. Find the third derivative of 5*m**5 - y*m**2 + 3*m**2 - 6*m**5 wrt m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 340 and 204?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + h + 24. Let x be b(0). Suppose -k = -1, -2*y + k + x = 5*k. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21611580 divided by 1080579.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/5)\/((-2)\/(-5))*1. Let p(j) = 2*j**3 + 7 + j - j**2 + 9 - j**s + 1. Determine p(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/5 + 21*r**2\/5.\nAnswer: r**2*(r + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2457098 to the nearest 1000.\nAnswer: -2457000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -665 - -2647\/4. Let m = l - 1. Find the common denominator of 93\/22 and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183, -192, -213, -252, -315, -408, -537?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2. Let p(m) be the third derivative of 7*m**5\/30 - 5*m**3\/3 + 6*m**2. Let a(k) = 4*b(k) - p(k). Differentiate a(n) wrt n.\nAnswer: -20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001000111 - 10000?\nAnswer: -11001010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - z - 38, 3*l - 25 = 3*z - 1. Solve -l = 5*r - 30 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 - 105 = q + 4*k, 21 = 3*k. Calculate the remainder when 45 + (-4)\/((-2)\/1) is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 194 + -353. Let r be -4 + 14\/4 - x\/6. Solve -2*u + 27 = -5*s - 3*u, -4*s - 3*u - r = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21023, 21024, 21025, 21026?\nAnswer: 21027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3745 and 15.\nAnswer: 11235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232, -453, -666, -871, -1068, -1257?\nAnswer: -1438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-25)*d\/(d\/d**(-10)) assuming d is positive.\nAnswer: d**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 8, 105, -8 in decreasing order.\nAnswer: 105, 8, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -44726 - -0.5?\nAnswer: -44725.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkokookokkokkkoo. Give prob of picking 2 o.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1646 divide 25837262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4517.\nAnswer: 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v + 2*v**4 - 3*v - 2*v**4 + 0*v**4 + 3*v**4 + 2*v**3 - 2*v**3 - v**4 + (v**2 - v**2 - 3*v**4)*(-4 + 4 + 3) - v**4 + 2*v**4 + 0*v**4.\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + -33. Suppose v = -2*p + 17 + 1. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(-117))\/(8\/6)*3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/8027?\nAnswer: 2\/8027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 215, 13, -3, -26 in decreasing order.\nAnswer: 215, 13, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52*0.02.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-184)\/69)\/(5432\/34629)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/23 and 43\/105685.\nAnswer: 105685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 11 - 11 - (-6 - (-7 + -12)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -816*n**3 - 819*n**3 - 811*n**3 - 821*n**3 - 813*n**3 + 4078*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + -22124606?\nAnswer: -22124562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.51841s to nanoseconds.\nAnswer: 94518410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 2. Let q = 303 - 308. Let f(b) be the second derivative of -b**4\/12 - b**3\/6 + 3*b**2\/2 + 3*b. Let l(z) = q*u(z) - 4*f(z). Calculate l(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 5*m**2 - 8*m + 14. Let s be q(6). Suppose 0 = s*b + 4, 1 = 5*l + 2*b - 5. List the prime factors of l - 0 - (-207 - -10).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 20 - (2 - (2 + 16))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4221425?\nAnswer: 5, 13, 31, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -0.5 (c) 941 (d) 0.5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.4 + -7.6. Which is the closest to -0.2? (a) u (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 4:14 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24223587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52? (a) 11 (b) -1714 (c) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5282916319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195390 divided by 6.\nAnswer: 32565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 0*z**2 + 0*z**3 + 0*z**4 - 7 + 4*z - 2\/5*z**5. What is the derivative of o(w) wrt w?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72857920 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w**2 - 11*w**2 + w**3 - 2*w**3 + 31*w.\nAnswer: -w**3 + 31*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 13. Let g = -16 + x. Let c = g - -9. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/196? (a) 0.1 (b) 910 (c) 0.2 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -6 - 12 - ((-194)\/(-8))\/(20212\/(-9128))?\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**3*w - b**3 - 730*b**2*w + 6*b**2 - b*w + 6*b - 18*w + 1056 wrt w.\nAnswer: b**3 - 730*b**2 - b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/22 (b) -63 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 - -1 - (14 + -24). Suppose 2*h = -2*c, 5*h - 20 = -5*c + x*h. Solve 11*a - c = 6*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 8. Let w = 9 + d. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 9620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x - 4*u + 40, 0 = x - 2*u + 14. Let h be (-2)\/x + 84568\/(-11740). Let q = h + 2\/587. Calculate the common denominator of -103\/14 and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1274627039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -6*z**2\/5 - 1668*z - 579630 = 0?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t = 1233 - 11151. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 76 + -ab66?\nAnswer: -aab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -379, -383, -397, -427, -479, -559?\n\"Answer: -g**3 + g**2 - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-252)*12)\/(((-510)\/(-84))\/17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -2\/5 (b) -83 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23253.895 - -23193. What is s rounded to zero decimal places?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a + 5 + 0 - a**2 + 0*a**2. Let c be v(5). Calculate the highest common divisor of c and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2852993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63630*y = 63576*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2\/7, 13 in decreasing order.\nAnswer: 13, 2\/7, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)\/x)**(-24)\/(x\/(x\/(x\/((x**(-5)*x)\/x)))*x)**28 assuming x is positive.\nAnswer: x**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 757 = -85*p + 1476 + 1406 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**4 - a**4 + 5*a**4 + (216*a - 271*a - 777*a)*(-2*a**3 - 3 + 3).\nAnswer: 1663*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/3))**(2\/11)*((x*x\/x**(-2\/5))\/x)**(-50) assuming x is positive.\nAnswer: x**(-2314\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12944345 - -1.37.\nAnswer: -12944343.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q**2 - 76*q - 230. Let t be s(-8). Which is the closest to -58? (a) 3 (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 9*c**5\/8 + 2893*c**4\/2 + 3730025*c**3\/8 + 3300521*c**2\/4 + 514563*c\/2 - 103041 = 0?\nAnswer: -642, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*h**4 - 51*h**3*r**3 + 118*h**2*r**2 + 3*h*r**3 wrt h.\nAnswer: -120*h - 306*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242321299 divided by -11.\nAnswer: 22029209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812699377?\nAnswer: 7, 116099911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 354872 and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 2*k - 48. Let j be ((-1)\/3)\/((-4)\/k). Let l(w) = 0 - 3 - 3*w**2 + j + 0. Determine l(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 12*x**2 - x + 8. Does 17 divide j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 560 and 1193038.\nAnswer: 47721520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 6)*2\/(-3). Is j\/8 - (-23)\/2 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x*x**12)\/x)\/x)\/x)\/(x**(-1\/36)*x))\/((x**(6\/17)*x*x)\/(x*x**(-18))) assuming x is positive.\nAnswer: x**(-6319\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r*(r*r**(-2\/15))\/r*r*r)\/r*r*r**(-4\/5)*((r\/((r**(-2\/7)\/r*r*r)\/r))\/r)**(-33))**(-10\/13) assuming r is positive.\nAnswer: r**(916\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9616047 decades?\nAnswer: 115.392564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 6 - 2) + 0 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(2*l + 2*l - 5*l)*(0 + 0 + 3) + l - 1 - 2 + 1.\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -15. Let o(w) = w**3 - 2*w**2 + 2*w - 2. Let y(q) = -q**3 + 3*q**2 - 2*q + 3. Determine x*o(h) - 2*y(h).\nAnswer: -h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11230131020 (base 4) to base 15.\nAnswer: 1e74a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*p + 207 = 5*b, -2*b + 3*p = -81. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbggbbbbbgggg. Give prob of sequence bb.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 l when two letters picked without replacement from lpqpqpqlllq?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5181246 millilitres in litres?\nAnswer: 0.0005181246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (35*j - 35*j + 52*j)*(-50*j + 23*j + 26*j - 428 - 221) in the form m*j + n + s*j**2 and give m.\nAnswer: -33748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0028864 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1, 45\/7, 3, -7\/13, -5.\nAnswer: -9, -5, -1, -7\/13, 3, 45\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or 83\/3?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 - 33*y**2 - 58*y + 95. Let f be p(18). Which is smaller: 28 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f + f - 3*f)*(-1 - 3 - 2)*(2 - 4 + 1).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 10:53 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1414, -2827, -4240, -5653?\n\"Answer: -1413*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmmqqqqqqqqqqmqqqm. Give prob of picking 3 m.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/15*(-62 - 3). Let m = p + -16. Suppose 8*z = 3*z + m. Solve z*r - 12 = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 14. Let w(k) = k + 9. Let v be w(m). Let c(q) = -4 + 2*q - 4 + 7 - 6*q + q**2. Determine c(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a microsecond in nanoseconds?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 245208.\nAnswer: 2452080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 391433 and 839909?\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**3\/6 - 4*f**2 - f - 15. Let q be n(8). Let z(y) = y**2 - 3*y + 0 + 2 - 4 + q*y. Calculate z(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 7) to base 4\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -20. Suppose -2*r - 2*r + 5*m + 5 = 0, z*m = -2. Solve r = f + 4*f + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 - 60*o**3 + 90*o**2 + 700*o - 735.\nAnswer: 5*(o - 7)**2*(o - 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20571 - -20576. Let q be (-5)\/(-3)*(-4)\/10. Which is the third biggest value? (a) 1\/4 (b) q (c) -15 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -6*z + 4*s + 36, 32 = 4*z - 5*s. Solve 8*t + 15 = z*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8285.09 decades to months.\nAnswer: 994210.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -23*g**2. Let z(r) = 74881*r**2. What is b(z(u))?\nAnswer: -128964775703*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z + 1. Suppose -4*n + 3*n = 1. Determine o(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6)*(-75)\/(-2)*7. Let b be c\/15 - 1\/(-3). Let t(j) = -j**3 + 10*j**2 + 26*j - 18. Let n be t(b). Solve -8*w - n = -6*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 4)*(-13733*l + 14933*l + 32147*l) to the form f*l + g and give f.\nAnswer: -33347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 4813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than 1693?\nAnswer: 1699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*r = -37*r - 5966 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6*f = -84. What is the tens digit of (((-200)\/f)\/5)\/(2\/(-108))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppkkpkk. What is prob of picking 4 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 11, w: 5}. What is prob of sequence ywyy?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 8*y - 5*y)*(-99 + 128 + 149).\nAnswer: -1958*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8053.451589 rounded to the nearest 100?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2 + i - 56 = 0. What is i?\nAnswer: -8, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110*d**4 - 135*d**3 - 2878*d**2 + 2 wrt d?\nAnswer: 2640*d - 810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1836415141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2002100 (base 4) to base 13.\nAnswer: -3a43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*l + 152*l = -24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 84\/(-16))\/3 - 0?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (3*sqrt(52)*-1 - (3 + (1 + sqrt(52))**2)))*3*-5*4.\nAnswer: 600*sqrt(13) + 3180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e0 (base 15) to base 3.\nAnswer: -21210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 1:48 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147 - 79. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 13*y**5\/30 + y**4\/12 - y**3\/6 - 213*y**2 - 1. Let q(p) = 13*p**2 + p - 1. Calculate 3*g(a) - 5*q(a).\nAnswer: 13*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/2*2596\/(-976745).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8118.\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 18 + (-6 - -3). What is the greatest common factor of k and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**5 - 6027*g**4 + g**2 + 18397?\nAnswer: -180*g**2 - 144648*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 802689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2298\/173 or 14?\nAnswer: 2298\/173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-1 + 3)*-1*-5. Sort -5, 0, 4, r in decreasing order.\nAnswer: r, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/60011 or 141.9?\nAnswer: 141.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.243939 and 2841526?\nAnswer: 2841525.756061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.29 - 0.09. Suppose 773 - 234 = -181*s - 185. Put x, -1, s, 9 in descending order.\nAnswer: 9, x, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 691682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 18 + 58. Suppose k - 90 = -2*o, o + 2*k - 26 = b. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 - 14*x**2 - 17*x + 3. Let z be o(-2). Put 4, -1, 3, -4, z in decreasing order.\nAnswer: 4, 3, -1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4*f - 28 = 0, 4*g - 3*f - 22 + 48 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 305203843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548292826.\nAnswer: 2, 491, 558343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by (-45)\/(-12) - (-4)\/16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -0.0195.\nAnswer: 0.0585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -28a82a (base 13) to base 2\nAnswer: -11110010110010000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -209*c**2 - 125814*c + 2329. Calculate a(-602).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 415 - 4567\/11. Which is the third smallest value? (a) -0.0755 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-148)\/24 + (-75)\/(-11) + (-42)\/(-231)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10387041 to the nearest integer?\nAnswer: 3223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -311*b + 306*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*n + 3 = 4, 4*f + 4*n - 4 = 0. Suppose -2*i = -f*i + 28. What is the remainder when 40 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*l + 30 - 13 = 0, 5*o - 3*l = 19. Suppose 10 = 3*x - t - 0*t, -12 = 4*x + 5*t. Solve x*h = -o*y - 18, 2 - 3 = -y - 5*h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 31\/2 of a kilogram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 10 - 0. What is the third derivative of -5*q + q**c + 4*q**2 + 5*q wrt q?\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -2306913.\nAnswer: 4\/2306913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5288 is divided by 410?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -1210*u - 3678. Calculate m(-3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -81?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9, 0, -8 in descending order.\nAnswer: 9, 4, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205 - (1 + (-8)\/4)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 11, 37, 63, 89, 115?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 6 - 4*q + 3*q**2 - 7. Give x(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1061905 by -6851.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6732.782 centuries to years.\nAnswer: 673278.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in nanograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/66*4*62942\/2861.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -237 + 234. Which is the third biggest value? (a) 1 (b) 5\/4 (c) z (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15786598*b + 15786594*b - 38 = 6*w, -2*b - 29 = 5*w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d31 + 124c3?\nAnswer: 11592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**6\/135 - a**4\/18 + 2*a**3\/27 - 18*a + 3. Factor i(x).\nAnswer: 2*x*(x - 1)**2*(x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -4)*-2*(-2)\/(-88)*4\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 720 = -c + 10*c. Calculate the least common multiple of 14 and c.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3138 + 896. Suppose 0 = f - c - 711, 5*f + 2*c - n + 507 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 8*c**2 - 2*c + 3. Let f be s(-8). Calculate the highest common divisor of f and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23258 by -16.\nAnswer: 11629\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000914437 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + 40. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzt when three letters picked without replacement from tzn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002432649 to 6 dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 o when four letters picked without replacement from {o: 7, q: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*i = 32, 5*i = -42*m + 37*m + 60 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351 a factor of 478989844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2813133120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -163\/2 (b) -8\/53 (c) 8.91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38042028 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/6886674 and 143\/94338.\nAnswer: 6886674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2069087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -24090 divided by -15\nAnswer: 1606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 763*t - 679 = -62*t - 247*t + 393*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 4*w + 1, -w + 4 = b - 3. Suppose -b*f + 3*h + 7384 = -5*f, f = -5*h + 1823. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 8. Let j be (m\/(-6))\/(2\/6). Is 111\/((-3 + j)*-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1806160.06 - 2.\nAnswer: 1806158.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from zaaaapapp?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4 - w**3 - 12 + 6*w + 2*w**3 - 7*w**2. Let z be j(6). Let b(t) = t**3 + 8*t**2 + 4. What is the units digit of b(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 4*m = -16, -3*q = -4*m + 69 - 67 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 44*r + 18*r + 41*r. Let q(s) = 2*s - 13752 + 13752. Calculate q(p(m)).\nAnswer: 206*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 24 = 89. Let p = o - -18. Suppose -p*t = -8 - 12. Solve -6 = 2*h, 4*h + h = -t*q - 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79438 = 79*j + 81334 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f**4*f)\/f)\/(f**(-4)\/f)*(f\/f**(-3\/5))\/(f\/(f**(3\/7)*f)) assuming f is positive.\nAnswer: f**(491\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 120098 times -5?\nAnswer: -600490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000093291 to 7 decimal places.\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*p - 110 = 0, -i + 5*i = 5*p + 170. Suppose -3*m + 109 = -2*j, 2*j - 49 = -3*m + i. Suppose -4*n = -m + 5. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 - -2) + 0\/(-16). Let x be (68\/8 - z)\/(1\/108). Is 53 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 2:14 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87 - -82. Let w be (-11)\/(-5 + 9 + i). Suppose 2*m - y - 9 = 0, -4*m - 5*y = -3*y + 2. Solve 15 = -m*v + w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(5\/(-3905)) - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9906.522 litres?\nAnswer: 9906522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 4.22338\nAnswer: 9.22338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*l - 4. Let v(u) = -2*u + u**2 + l*u + 7*u + 5 + 7. What is the tens digit of v(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**4\/5 - 14907*i**3\/5 - 3*i**2\/5 + 14907*i\/5 = 0.\nAnswer: -1, 0, 1, 4969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 405*u - 2044. Determine a(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 356\/213 - 1\/213. Let h(b) be the first derivative of 12 + 11\/5*b**5 + 0*b - w*b**3 + 0*b**4 + 0*b**2. What is the third derivative of h(i) wrt i?\nAnswer: 264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**2 - 7548*h + 4710060 = 0.\nAnswer: 1146, 1370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/4 + 100975*p\/4 + 302907\/2 = 0. What is p?\nAnswer: -100969, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, q: 6, h: 6}. Give prob of sequence ghq.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzf when three letters picked without replacement from fzqfqfzzzzazaqqzqzz.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, 1\/31607, -3, -5\/3 in increasing order.\nAnswer: -3, -5\/2, -5\/3, 1\/31607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1429 = -126*s + 2784 + 3559 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 5*z - 12. What is the units digit of c(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 3)*1301\/(-7806).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 - 3*o**4 + 3*o**4 + (-5 + 3 + 3)*(-5 + o**4 + 5) + 1 - 1 + 2*o**4)*(3*o - o + 3*o).\nAnswer: 5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 - -334?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 952853183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 7*n - 23*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Let j = 0.68 - -1.53. Let s = j - h. Round s to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 7 = 22. Suppose -f = -0*f + q, r*f + 5*q + 4 = 0. Suppose f = g - 12. Calculate the remainder when g is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 1109536*y + 1109537.\nAnswer: -(y - 1)*(y + 1109537)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21170120604.99999953 + 21170120696. Let k = 91.1291 - 0.1291. Let f = k - b. Round f to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.526709 to one decimal place.\nAnswer: -18.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 362\/133 + -30\/19. Let r = -1\/2 - -11\/14. Determine a, given that -r*a**2 - u + 8\/7*a = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 17 = 3*u, -15*u - 5*b - b = -11*u + b - 2*b + 24 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.697 + -13.7. Let z = 0.097 - j. Which is the third biggest value? (a) -1 (b) z (c) -0.03 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*l + 2*j + 29, 2*j = -3*l + 43. Solve -l*y + 5*y = 20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 1037*k**6\/10 - 1061*k**2 + 2*k - 1420. Find the first derivative of s(t) wrt t.\nAnswer: 12444*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 154.824 - 154.6029405. Let z = 0.221 - i. Round z to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6122, 6160, 6200, 6242, 6286, 6332, 6380?\n\"Answer: r**2 + 35*r + 6086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 32. Suppose -z*q + q = -325. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -4. Let a(q) = -s - q + 1. Let v(p) = 8*p + 1. Let i be (0\/2)\/(-3) + -18. What is i*a(t) - 2*v(t)?\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66082 is divided by 5499?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0 + 0 + 17*m**2 - 33*m**2 - 5*m**5 wrt m.\nAnswer: -300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14272.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v**3 - 100*v**2 - 3856*v - 66126. What is z(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s + 0*s**3 + 91*s**4 + 4 + s**3 - 90*s**4 to the form k + f*s**3 + b*s**2 + y*s**4 + i*s and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-562)\/(-10) + (-19)\/95. Suppose u + 38 = 2*y. Suppose -y = -5*o - 7. Calculate the least common multiple of o and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 348, 359, 376, 399, 428?\n\"Answer: 3*h**2 + 2*h + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141 and 6233939.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**5\/20 + f**4\/3 + f**3\/3 - 3*f**2\/2 - f. Let d(y) = -y + 12. Let b be d(8). Is j(b) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.9 + 6. Let m = c - -3.9. What is the smallest value in 0, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 - -9?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2285318*p**4 + 979741*p + 2.\nAnswer: 27423816*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 29417388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 16*g**2 + g - 21. Determine p(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 614 - 644.4. What is z rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 2*b - 11. Suppose 4*n - 8 = 12. Let t be f(n). Let g = 0 - 5. What is the second biggest value in t, g, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbb when three letters picked without replacement from {b: 4, i: 1, s: 9, j: 2}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4032) - (sqrt(4032) - (0 + sqrt(4032) + 0 + sqrt(4032))**2) - (1*(-1 + (sqrt(14)*2)\/sqrt(2)))**2.\nAnswer: 4*sqrt(7) + 16099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-12)*(2 + 1). Factor 0*d**3 + d - d**3 + 0*d - d**2 + d**m.\nAnswer: d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+59003.9\nAnswer: 59003.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from synnhyypynnshwnyhssw. Give prob of sequence hhy.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 648*p + 5603. Calculate g(-12).\nAnswer: -2173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1. Let g(y) = -7*y - 4. Let v(a) = -2*g(a) - 18*o(a). What is the remainder when v(2) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21004320 (base 5) in base 9?\nAnswer: 282512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146 - -151. Suppose -8 = -b + p + 2, 2*b - 14 = r*p. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 21*v + 50. Calculate the remainder when b(-17) is divided by (-62*(-2)\/28)\/((-1)\/(-7)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5280189 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 151135707?\nAnswer: 604542828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 1)*(-68 - 4*l + 68)*(4 - 2 - 1 + (-3 + 2 + 3)*(6 + 22 - 6)) in the form q + d*l and give d.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - -485a?\nAnswer: 4847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -407276134.7 to the nearest 1000000.\nAnswer: -407000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 7:52 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - (1 + sqrt(468))*5) + -3*sqrt(468)*2 + sqrt(468) + -1)**2.\nAnswer: 648*sqrt(13) + 37944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 430226 and 14743700.\nAnswer: 4834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.203.\nAnswer: 0.0609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 752642457 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1043 - 323 = 6*k. Suppose -2*z = -3*u - 387, 3*u - k - 273 = -2*z. Calculate the remainder when z is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 89379.\nAnswer: -1\/89379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -10) + -2 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34756 is divided by 1642.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 6. Suppose 2*y - 10 = -u*p + 8, -p - 3 = -y. Is 19 a factor of (55\/(-15))\/(p\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194689?\nAnswer: 11, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2 - 14*o - 30. Determine m(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l. Let q(g) be the second derivative of 0*g**3 + 40*g + 1\/3*g**4 + 2 + 0*g**2. Calculate q(c(r)).\nAnswer: 144*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + (2 - 3))\/2. Suppose 4*k + k + 4*c - 324 = 0, -4*k - 2*c + 258 = d. Suppose 5*f - 126 - k = 0. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -14\/3*h**3 + 4*h + 0*h**2 + 1\/4*h**4 - 2. Let c be a(14). Solve c*n - 8 = 2*t + 6, 3 = -t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -120*f**6*s - 33*f**5*s**2 - 36800*f**2 - f*s**2 wrt f.\nAnswer: -14400*f**3*s - 1980*f**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, b: 2}. What is prob of picking 4 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + -7 + 6 + 8. What is the derivative of 29*c - 16*c + 40 - 104*c**p - 13*c wrt c?\nAnswer: -312*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 35529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/60 + -1)\/(1784\/(-231920)).\nAnswer: -52\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1067)\/(-99) + 4\/18. Suppose 0 = -0*q + q + 3*j - w, 2*q - 18 = -4*j. Solve 3*c - q*p = 4*c - 10, c - 4*p = 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 7*y**2 - 3*y - 8. Let b be m(-5). What is the units digit of 6\/(-4) - b\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/969600 and 25\/8888?\nAnswer: 10665600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d4c (base 14) in base 8?\nAnswer: -12360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/7 - 44*m**2 - 7298*m\/7 + 380208\/7.\nAnswer: -2*(m - 24)*(m + 89)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 233\/4 - 58. Let n = -9 + 8. Let m = 2.94 + 0.06. Sort c, m, n.\nAnswer: n, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 237337?\nAnswer: 237336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 413918891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 7. Let q = -64 + 67. Let s(t) = q + 13*t - 11*t + t**2 - 7. Determine s(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.193 + 0.393. What is f rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(6)\/sqrt(2) - (sqrt(3) + (sqrt(18)\/sqrt(96))**2).\nAnswer: -67\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003762984 to 4 decimal places.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000714 rounded to 5 decimal places?\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q - c + 1, 4 = 2*q + 4*c. Solve 4*n + q*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1088 and 1728?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -12*b**5 + 237*b**4 - 1506*b**3 + 3729*b**2 - 3828*b + 1380 = 0.\nAnswer: 1, 2, 23\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1883, 8123, 18689, 33581, 52799, 76343, 104213?\nAnswer: 136409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 259 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -643234 (base 7) to base 6.\nAnswer: -2220354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -3. Let f = a - 3. Solve -3 = -4*s + f*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c. Let f(x) = x**3 - 2*x**2 - 2*x - 3. Let n be f(3). Suppose n*o - 8*o + 8 = 0. What is d(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 436 - 183. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1031580698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 + 30?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2484*r - 19811. Calculate z(8).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + -89. Let r = k - -111. Is 15 a factor of r + -1 + 4 + 211 + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 0*b + 32. Let k be ((-4)\/(-8))\/(b\/(-10)). What is the closest to 0 in k, 3, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 + 4*n + 2. Let a be 105\/(-6)*92\/322. Let x(l) = -2*l**2 + 5*l + 3. Determine a*u(m) + 4*x(m).\nAnswer: 7*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25 or -7423?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33\/4? (a) 4 (b) -3 (c) 6666\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11224 is divided by 401?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 311.7 + -325. Let b = 84 + -85.7. Let y = a - b. Round y to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v + 37. Let x be n(-7). Put x, 12, -4 in decreasing order.\nAnswer: 12, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 21*y**2 - 20*y - 3. Let a be u(20). Let v be a*(-2 + 1 - 58\/6). Let x = v - 12. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, -3, 2, -1, 332 in ascending order.\nAnswer: -3, -1, 2, 98, 332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dik. Give prob of sequence di.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -13 + -1 - -10 - -13.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001348719 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*u + 11*u + 9*u)*(-u - 5*u + 4*u)*(5*u + 2*u + 0*u)*(0*u - 2*u + 3*u) as i*u**3 + g + o*u**2 + m*u**4 + v*u and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 675528 and 2760.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2627.7 - -2907. Let z = 294 - y. Let j = 15 - z. Which is the third biggest value? (a) -0.7 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/3 and 11\/83829.\nAnswer: 83829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21 + 13 - ((-230)\/45)\/2 and -59\/459?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 751170*l - 11266425.\nAnswer: -5*(l + 15)*(l + 150219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31946938 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 167 + -2?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.1, 5, 0.\nAnswer: -4, 0, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, -0.5, -6713, 5, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 + 21*m + 10. Let r be q(-6). Suppose 1 = -r*u - 27. Let j = -4 - -2. Put 0, j, -5, u in increasing order.\nAnswer: -5, j, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 11*a - 12*a. Find the third derivative of -12*f**5 + 51*f**5 + 10*f**a - 17*f**2 wrt f.\nAnswer: 2940*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3045797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -11*l**2 - l - 1. Let x be c(2). Let k = x + 50. Solve 0 = 5*m + g + 9 + 8, -m + 3 = -k*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*t + 324*t = 162 + 36 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7123811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -802 - -803. Let p(z) = -6*z**3 - z**2 - z + 2. What is p(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*i**18)\/i**(-2\/3))**(-33))**(-8))**17 assuming i is positive.\nAnswer: i**92752","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3260359, -0.09, -2\/9, 0?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**4 + 2136284*b**3 - 2136296*b**2 - 4272576*b = 0.\nAnswer: -534072, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*u**6 + 4*u**6 - 11*u**6 + 7*u**2 wrt u.\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11*2\/22 - -40896 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 4305 and -0.3.\nAnswer: 4304.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6*-0.0081\nAnswer: -0.0486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 4, 9\/5, -4?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0 - 57*p + 377*p in the form o + n*p and give n.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/(-18))\/(107\/26 + -4) - -12.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/3)\/(7\/(-84)))\/(300\/1650)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 88*v**2 + 13*v. Let w(k) be the first derivative of 2*k**3\/3 - 860. What is m(w(r))?\nAnswer: 352*r**4 + 26*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -2910?\nAnswer: -2912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 90*c**2 - 820*c**4 + 63*c**2 - 154*c**2 + (0*c**3 - 2*c**3 + c**3)*(c - 2*c - c).\nAnswer: -818*c**4 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/1331035 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 14*t - 16*t. Solve t = -2*f - 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 30056*s - 29316096.\nAnswer: -4*(s - 6362)*(s - 1152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3020030 (base 4) in base 6?\nAnswer: -135152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -15*y**3 - 25*y**2 - 5*y + 426. Determine s so that j(s) = 0.\nAnswer: -1, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192.8 * 0.89\nAnswer: 171.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.02407 litres in millilitres?\nAnswer: 69024.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30829 + 31025. Solve 260 = -8*n + f for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m - 3. Let r(f) be the first derivative of 5*f**2\/2 - 2*f + 166. Calculate 4*k(w) - 6*r(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.281332 rounded to 2 dps?\nAnswer: -27.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614 = 4*x - 1198. Let w be 3\/(-6) + x\/6. Suppose 0 = 2*c + c - w. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/10858015 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20010211201200 (base 3) to base 6\nAnswer: -153544200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 9:00 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -6*z - 2*l - 53, 0 = -z - 5*l - 65. Let w be ((-4)\/24)\/((-10)\/z). What is the closest to 2 in 0.1, w, -0.2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*u + 12 - 108*u - 15.\nAnswer: -8*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87 - 152. Let k be 2\/5 - (-26)\/m. Does 4 divide (-636)\/(-9) - k - (-2)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1961688 divided by 81737\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123217.\nAnswer: 123217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.0149\nAnswer: 0.00596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 4*y + y)*(0 + 0 + y)*(-2 - 3*y + y + 4*y).\nAnswer: -4*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 10 - 26. Suppose -5*q - 19 = -2*h, -83 = -x*h - 2*q + 3*q. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y - 36*y = -16. Let d be 1131*(y + 11\/(-3)). Suppose 277 + d = 6*s. List the prime factors of s.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 154 in -13, -0.3, 3, -135, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 + (-183)\/((-22143)\/8140)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 + 103.3. Let w = z + -4. Put w, 3\/7, -3 in decreasing order.\nAnswer: 3\/7, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464428972533 plus -507?\nAnswer: 464428972026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*(j**(1\/2)\/j)\/j)*j*j*j\/(j**1\/j*j)*j*j**(-6)\/j**0)**45 assuming j is positive.\nAnswer: j**(-135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 108 + -121 + (-87)\/(-7). Are 45\/8 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -1093?\nAnswer: -1096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -395071 to the nearest 1000.\nAnswer: -395000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1255\/7 + 179. Sort 2, l, -0.3, 3 in descending order.\nAnswer: 3, 2, l, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1573) + -2 + sqrt(1573))*-1)**2.\nAnswer: -264*sqrt(13) + 6328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34254 divided by -3114?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from afffzfnnfnn. What is prob of sequence znfa?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -4187682 and 0.1.\nAnswer: -4187681.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r. Let y(i) = 4*i - 1. Give 4*s(b) + y(b).\nAnswer: 8*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x + 1. Let h(j) = -5*j + 1. Let q(l) = 5*h(l) - 6*k(l). Let m(b) = 3*b + 2. Determine -2*m(d) - 7*q(d).\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82192937?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 46749, 46361, 45959, 45543, 45113, 44669?\n\"Answer: -7*r**2 - 367*r + 47123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p + 12. Let q(y) = 20*y + 24. Let a(h) = -7*i(h) + 3*q(h). What are the prime factors of a(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-15))\/((-174)\/1624).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1805930?\nAnswer: 2, 5, 7, 25799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/7 (b) 53 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 8. Suppose 9*g = l*g + 110. Suppose -5*r + g = -0*r. What is the highest common divisor of 66 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 i when three letters picked without replacement from {f: 2, e: 5, x: 2, g: 3, i: 6}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -13721112 greater than or equal to -13721112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 2. Let c be x(0). Let o(s) = -3 - c*s - s + s + 0. Is o(-10) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78151, -78163, -78175, -78187?\nAnswer: -78199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*d - 75. Suppose 9520 = -0*i + d*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*s**2 + 69*s**2 - 49*s**2 + 163*s**2 + 1 to g*s + v*s**2 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 481 and 13?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 2*g**2 + 0*g**2)*(-3*g + 0*g - 8*g).\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6*f + 15. Suppose -2*x + 0*t - t = -23, -5 = -t. Calculate the least common multiple of f and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 7 - 2)*(6 - 5 - 2)*(-2*p**2 - p**2 + p**2)*(2*p - 1 + 1) to z*p + t + f*p**2 + i*p**3 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 x when four letters picked without replacement from fkxlcflkcllfxlxl?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.77?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9702 = 112*a - 101*a. Suppose -8*x + 2086 = -a. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 284985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15513.\nAnswer: 3, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 38 = 4*v, 31*v - 27*v - 4*b = 48. Let y = 63.4 + -63. Put y, 0, v in decreasing order.\nAnswer: v, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 622383067 to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 9*p - 52. Let v be a(13). Suppose 0 = -3*h - 4*d + 332, v = 4*h - d - 256 - 174. Does 18 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -20\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**16)**(-5))**(2\/51) assuming n is positive.\nAnswer: n**(-160\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*r + 108 = -261*r. Let t be 1\/3 - 168\/r. Suppose -s + 5*v + 25 = 0, 3*s - 6*v - 15 = -3*v. Sort s, 6, -2, t in ascending order.\nAnswer: -2, s, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -301, -424, -579, -766, -985?\n\"Answer: -16*g**2 - 75*g - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjiqjyjyyjyihhhq. What is prob of picking 2 q?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -17.89. Let v = -4.89 + f. Let c = 4 + -8. Put v, 2, c in increasing order.\nAnswer: v, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*j = 138*j + 8. Suppose 0 = 5*r + 3*c - 3735, 0 = -j*r + 4*c + 91 + 1377. List the prime factors of r.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/9*-111)\/(-1). Let h = d - 73. Sort 0, h, 8.\nAnswer: 0, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 2 + 1 + (-63 - -4) + 68\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -49, -142, -311, -580, -973, -1514?\nAnswer: -2227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136509 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q = 12*q + 4485. Suppose 25 = 5*i, a - q = 5*a + 5*i. Let x = a - -84. What is the lowest common multiple of 33 and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 7*a**2 - 14*a - 4. What is c(9)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6376 divided by 12\nAnswer: 1594\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 7 = c. Solve 3*i - 15 = 5*j + 2*i, c*j + 12 = i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n + 162 = -42*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/160 - -239\/1120. Let n = l + -1319\/616. Calculate the common denominator of n and -75\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28\/13 + (-6)\/39. Suppose -5*f - 2*v + 16 = 0, k*f + 0*f = -3*v + 13. Suppose 137 = -f*m + 811. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, 11, 36, 81, 152?\n\"Answer: r**3 + r**2 + r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93*m + 3*m**2 + 0*m**3 + 4*m**3 - 3*m**3 + 3*m**2 + 47*m**2 wrt m.\nAnswer: 6*m + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 3*f**6\/160 + f**5\/20 + f**4\/24 + 3*f**2\/2 + 5. Let s(n) be the second derivative of h(n). Determine l so that s(l) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 + 778*k**3 - 921*k**3 - 636*k**3 - 4*k**2 + 785*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u + 3. Let k(o) be the third derivative of o**4\/6 - o**3\/6 - 17*o**2 + 2*o. Determine 5*k(q) + 3*s(q).\nAnswer: -q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 337208936 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 + 0*m**2 - 2*m**2)*(-3 + 5 - 3)*(3*m - m - 8*m).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 18, 16, 14, 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*p + 35*p - 8 - 8)*(5 - 2*p - 5).\nAnswer: -6*p**2 + 32*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 112*a - 110*a. Put a, 10, -4 in increasing order.\nAnswer: -4, a, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002137 to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -45 + 41. What is the greatest common factor of 98 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118669261 to the nearest integer?\nAnswer: 10894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2318154?\nAnswer: 2, 3, 17, 22727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*t. Suppose 3*y - 8*y - 4*v = -10801, -3*y - 3*v + 6480 = t. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d. Let r(i) be the third derivative of i**5\/15 - i**4\/12 - i**3\/2 - 2*i**2. Let u(l) = -2*k(l) + r(l). Differentiate u(j) with respect to j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1106 and 3424729.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/480 and -17\/768.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2895*h - 78266 - 98722 + 28792 = -551 for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**5\/120 - 5*i**3\/6 - i**2. Let a(w) be the first derivative of f(w). Let o(l) = 2*l. Calculate o(a(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 - c**2 + c - 3. Let t(i) = -i**2 - 1. Give -q(y) + 3*t(y).\nAnswer: 3*y**3 - 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 - 60. Let q be (-113)\/(-44) + x - 22\/(-121). What is the closest to 0.04 in -5, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3 - 180410*u**2 + 360834*u + 541242 = 0.\nAnswer: -90207, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 5)\/((-55)\/20 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 12*z + 14. Let d be r(13). Let j(h) = 7*h. What is j(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -251 - -253. Let o(g) = g**3 + 4*g**2 - 5*g + 5. Let n be o(-5). Solve -4*c = t*x - 3 - 1, 5*x + 5*c = n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -9 + 25. Let l = 7 + h. Let r(n) = n**2 + 7*n - 5. Let f be r(-8). Solve -4*z + l*x = -3, 2*z - f*z - 3 = -2*x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43056 and 108?\nAnswer: 129168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - q = 30, 181*j = 176*j - q + 174. Calculate the greatest common divisor of j and 578.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019246443 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*o**2*r - 2*o**2 + 987*o*r**2 + 3*o + 8*r**2 - 20534 wrt o?\nAnswer: -24*o*r - 4*o + 987*r**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 13*z - 47. What is m(-22)?\nAnswer: 723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 273204101.00000005 - 273204110. Let h = y - -9. Round h to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19166*b**2 + 1699*b**3 - 19165*b**2 - 1696*b**3 + 38331*b**2.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.067594 to three decimal places.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489*i + 321*i - 4032 = 0 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 2*r + 7. Let q(f) = f**2 + f - 6. Let w(n) = -3*q(n) - 2*t(n). Suppose -3*h + 5 = -4. Give w(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2. Let r(z) = 5*z + 7. Let d(c) = -14*c - 19. Let k(u) = -6*d(u) - 17*r(u). What is k(b(p))?\nAnswer: -3*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-3))\/(m\/(m\/((m\/(m\/m**(-1\/8)))\/m*m*m)*m)))**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (3 + 0 + -8 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.15, 1\/4, 587?\nAnswer: 587","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 343 + 174. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-332)\/(-82) + (20\/(-25))\/(1\/5)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 332 or 468?\nAnswer: 332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*d + 21 = -224*d. Solve t - n = 2, 0 = 17*t - 21*t + d*n + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23469 and 11.3.\nAnswer: 265199.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -414, -646, -900, -1182, -1498, -1854, -2256?\nAnswer: -2710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/6 + -2)*18\/(-1). Suppose 3*r = -b, 2*z = -2*z + 4*r + 44. What is the units digit of 780\/z*3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2374143700 to the power of 1\/5, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 246779.55 + -246691.550166. Let w = r - 88. What is w rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2388059 is divided by 596650?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 790565 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2256)\/423*(-6)\/(-20))\/(272\/120)?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 27*k**5\/10 + k**4\/12 - 19*k**3\/6 - 3*k - 3. Find the second derivative of d(h) wrt h.\nAnswer: 324*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 343042, 1372329, 3087858, 5489629, 8577642, 12351897, 16812394?\n\"Answer: 343121*l**2 - 76*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000466 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-4)\/1092*-13?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*w + 2*w + 17, 2 = g + w. Find the third derivative of g*u**3 - 57*u**2 + 53*u**2 + 41*u**5 - 5*u**3 wrt u.\nAnswer: 2460*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8300a3 - -4?\nAnswer: -83009c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*a + 401 = -286*a + 3985 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 1200 = 1488. Let s = 1101 + d. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 612243029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-50)\/9))\/(126\/(-105))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35663336 + 1?\nAnswer: -35663335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 623.6 rounded to the nearest 10?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2042 divided by -8\nAnswer: 1021\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16563 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*w - r = -216*w + 17, -5*r - 1 = 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4\/5 of a millennium?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 434575067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o - 6. Suppose t + 4 = -t, -5*b + 4*t + 48 = 0. Let h be c(b). Suppose -27 = -3*r + h. Solve -5*w + 3 = r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -14. Suppose -v*q + 4 = -3*q. Does 7 divide q\/(-6) - 208\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**16\/((g**(2\/7)\/g)\/g))\/(g**9*g**(-1)) assuming g is positive.\nAnswer: g**(68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + -14 + 3)\/((-1)\/2 - 5)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 5. Let z = -116.6 - -117. What is the biggest value in c, z, 2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 221184693?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2837.\nAnswer: 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*v = 371719 + 18857. What is the greatest common divisor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 6, 2\/9, -0.063 in decreasing order.\nAnswer: 6, 3\/7, 2\/9, -0.063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*h + 1571 - 13883 = 0. Solve 7*u + h = 26*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.982528062 to four dps.\nAnswer: -0.9825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5991.548404 - 0.051596. Round l to the nearest one hundred.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5541454306?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3189 - -0.2.\nAnswer: -3188.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -9\/11 (b) 0 (c) 5 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 42*s - 272. Calculate the greatest common factor of 968 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141390?\nAnswer: 2, 3, 5, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 3:34 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1523 or 1525?\nAnswer: 1525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*k = -w + 12, 3*k = -5*w + 26. Let p(d) be the first derivative of 3*d**2 - 3*d - 2 + 4\/3*d**3 - 1\/4*d**w. What is p(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 0\/(0 + -2). Let z be n + 145\/(-45) + 310\/18. Suppose -16 = -3*t + z. Calculate the highest common divisor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2877 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 2*p + 21. What is the tens digit of i(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/6 - 41*x**4\/6 - 415*x**3\/6 - 635*x**2\/6 + 208*x\/3 + 338\/3 = 0. What is x?\nAnswer: -26, -13, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + -4 - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00047891423 rounded to 7 decimal places?\nAnswer: -0.0004789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 12:38 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*y - 3 - 2 = 0, -13 = -j + 4*y. Let k be (-2)\/(-7) + j\/(-7). Which is greater: 2\/9 or k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 3*z**4\/8 - 91*z**2\/2 - 86*z. Let y(f) be the first derivative of b(f). Let j(a) = 4*a**2. Determine j(y(t)).\nAnswer: 324*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**3 - 54*x**2 + 1235*x - 3368. Give r(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*b - 3 = 67*b. Let g = 1793\/9 - 199. Sort 1\/5, g, b.\nAnswer: b, 1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/30)\/((-2)\/(-4)) - (-454413723)\/765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 2*d + 4. Calculate g(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*v = 26, p = v + v - 10. Let b be ((-14)\/(-6))\/(-7) + (-26)\/p. Solve -l = -4*j + 16, b*l + 5*j - 3 = -4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-260)\/(-45) - (-6)\/27. Let r be (-1)\/(-2 - -3) - 2. Let g = o + r. Solve g*m = 4*i + 10, -5*m - 2*i - 22 = i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 4 - 5 - -4) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237791*n**2 - 568803*n**2 + 2287960*n**2.\nAnswer: 1956948*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.8 + 2.4. Let r = -22 + t. What is r rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 4*i**2 + 26*i + 1. Suppose -4*w = 5*h - 10, -3*h - 3*w + 9 = 6. Let d be j(h). Which is the third biggest value? (a) 0 (b) -3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x**2 - 5*x + 5. Suppose 0*n = 4*n + 24. Let c(h) = -3*h**2 + 3*h - 3. Let r(k) = n*m(k) - 10*c(k). Let o(p) = -2*p. What is o(r(w))?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.6 and 463.\nAnswer: 3981.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6583672, 6583675, 6583668, 6583645, 6583600, 6583527?\nAnswer: 6583420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1751 - 71796\/41. Suppose -j = 3*v + 7, -3*v + v + 3*j = -10. Is b equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403382 is divided by 202.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13\/(728\/(-12))*(1 + -2 + 5). Which is smaller: -3\/26 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/3 - 224*y - 19388\/3.\nAnswer: -4*(y + 37)*(y + 131)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**5\/20 + 10*j**2. Let d(r) = -r**2 - 5*r. Let s(p) = -2*p**2 - 8*p. Let m(k) = 8*d(k) - 5*s(k). What is q(m(h))?\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s - 42. Let f be k(23). Let n = 14 + -11. Suppose 0 = f*v + n*z - 1, 3*v - 2*v = -4*z - 3. Is 1\/22 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/((4\/9)\/((-30)\/(-5))*129\/(-86))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17144862, 17144844, 17144814, 17144772?\n\"Answer: -6*n**2 + 17144868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 1:54 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145075 and 73220?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, 4\/9, 1\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -246*m**3 + 114*m**3 + 120*m**3 + 14*m**2 wrt m.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176485 and 22530?\nAnswer: 1058910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2660 and 8021360?\nAnswer: 1066840880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1492 and -1486 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 3 - o**3 + 0*o**2 + 1\/27*o**4 + 0*o + 1\/135*o**5 + 1\/1620*o**6. Let i(f) be the third derivative of h(f). Factor i(s).\nAnswer: 2*(s + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 3*t**2 + 16*t - 33. Let c be i(5). Let f(d) = -6*d**2 - 5*d + 4. Let x(h) = 5*h**2 + 4*h - 3. Calculate c*f(u) - 4*x(u).\nAnswer: -2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 71620, 143209, 214800, 286393, 357988, 429585?\n\"Answer: n**2 + 71586*n + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -488.18 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8440 + 0.015?\nAnswer: 8440.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2552 + 5101 + 3*j**2 - 2549.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 2\/53513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4482 + 1477 + 1475 - 102*g + 1530.\nAnswer: -102*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1331)*-2)**2 - 6*((sqrt(99) + 0)**2 + sqrt(99)).\nAnswer: -11242 - 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 3*x - 225. Give s(14).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 305154 + -3?\nAnswer: 305151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -305 + 198.24. Let n = -103 - s. Let j = 2.9 - n. Round j to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from {s: 1, e: 6, p: 3, x: 6, r: 1}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 9:40 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280 and 10820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1335594, -1335819, -1336044, -1336269, -1336494?\nAnswer: -1336719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 (base 11) in base 13?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 208, 224, 240?\n\"Answer: 16*n + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-17326)\/7728 - -2 - (-386)\/4053 and 79\/759.\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 7*v**2 + 9*v + 8. Let q be z(-8). Suppose q = a + 2*l - 13, -l - 15 = -4*a + 1. Solve 2*w = a*f - 16, 2*w + 0*w - 16 = -3*f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10011010?\nAnswer: -10011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -14. Suppose -2*l + 3*l = y. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4362662 is divided by 1360?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.2137545 decades?\nAnswer: 2.137545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10746321 to the power of 1\/3, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-492)\/819 + 2\/57*19. What is the third biggest value in 1, 0.4, b, -2\/3, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15293\/4 greater than or equal to 3823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -777, -5, 5, 12 in ascending order.\nAnswer: -777, -5, 1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -606 + 605. Let i be (2\/(-3))\/s*63\/14. Let 15\/8*a**4 - 3*a - 39\/4*a**2 + 0 - 39\/8*a**i = 0. What is a?\nAnswer: -1, -2\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -19\/100*n**5 - 2*n**3 - 7\/200*n**6 + 0*n + 38*n**2 + 0 + 19\/10*n**4. Suppose i(z) = 0. Calculate z.\nAnswer: -5, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40803 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 160953 or -3154?\nAnswer: 160953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-3 + 22 + -33 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5cb47c9a - -3?\nAnswer: -5cb47c97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75652 or 2844?\nAnswer: -75652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 1)*(1 - 4 + 1)*(-142 - 22*a + 142).\nAnswer: 132*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 27. Suppose -213 = -b*a - o - 60, 2*a - 95 = -3*o. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190762 and 290?\nAnswer: 953810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (44 + 2*a - 50 + 0*a)*(-4*a + a + 2*a + (3 + 0 - 2)*(2*a + 2*a - 5*a) + 36 - 36 + a + (3 - 3 - 2)*(-2*a + 5*a + 0*a)) as b*a**2 + k*a + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 30101 (base 5) to base 2\nAnswer: 11101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s - 2. Let l(w) = -7*w - 3. Let f(g) = 3*l(g) - 5*n(g). Calculate f(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 607*o - 52915 = 1650*o + 28439 for o.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6*u*u**(3\/5)*u)\/(u**(2\/9)*u)**(6\/11) assuming u is positive.\nAnswer: u**(119\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5*s + 190, -70*s = -68*s - 4*l - 46. Let w = -7 - -17. What is the remainder when s is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 f when three letters picked without replacement from {z: 9, f: 3}.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 10. Let m(k) be the third derivative of k**6\/360 - k**5\/24 - 127*k**4\/24 - 267*k**2. Let u(b) be the second derivative of m(b). What is u(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**2 - 9933*f**3 + 9651*f**3 - 10*f**2.\nAnswer: -282*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 150 - 216. What is the lowest common multiple of 12 and b?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100)*1*4.\nAnswer: 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 29*n - 25*n - 29, 0 = 3*s - 3*n + 24 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71077 = -m - l, -31*l + 32*l = 3*m - 213195. What are the prime factors of m?\nAnswer: 2, 109, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 137, 204, 271?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*u - 2 + 25*u + 21*u - 2 to the form b + a*u and give a.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**5\/30 - 16*c**2. Let v be n(-1). Suppose 5*a = v*x + 52 + 253, -183 = -3*a + 3*x. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 n when four letters picked without replacement from {x: 2, u: 3, n: 9, j: 2}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 65, 62, 61, 62, 65, 70?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*j + 32, 9 = 3*t + 2*j - 0*j. Suppose -2*r + t*q + 230 = -714, 5*r - 5*q = 2345. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2802028 (base 9) in base 8?\nAnswer: -5671366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1920966.3137 - 0.4.\nAnswer: -1920966.7137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/((5\/(-2))\/(5\/(-4))). Solve -3*b + q + 4 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -1\/3*j**3 - 7\/2*j**2 + 7*j + 17. Determine f(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -121? (a) 0.2 (b) 0.5 (c) 9305\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*v**2 - 2 - 10*v**2 - 405*v**4 + 11*v**2 + 13*v**2 - 2*v**3 as a*v**2 + n*v + o + x*v**3 + h*v**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 43*n**2. Let o(b) be the first derivative of -b**3\/3 + 32. What is o(i(s))?\nAnswer: -1849*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.099 * -3\nAnswer: -0.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -12*i - 11 - 10*i**2 + 7*i**2 + 2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 18 = -3*w, -w - 3 = -4*h + 6*h. Let o be (-1 + (-4)\/h)*6. Suppose 4*a + v + 0 = 10, 3*a = 2*v + o. Solve -j + 4 = -n, -2 = -3*n - 5*j + a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -328, -1628, -3862, -7036, -11156?\n\"Answer: -z**3 - 461*z**2 + 90*z + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 12*t + 0 - 8*t + 2 - 20*t. Let i be y(-2). Suppose -4*o - i = -286. Calculate the greatest common factor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, 5, 95, 213, 353, 509, 675?\nAnswer: 845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114364, -114347, -114318, -114271, -114200, -114099, -113962, -113783?\nAnswer: -113556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 5*s + 108 = 0. What is the hundreds digit of 880 + 5\/(30\/s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 9*k**2 + 286*k + 90. Determine f(22).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 68*m + 8. What is x(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 12. Let u(r) = -r**3 + 6*r**2 + 4*r + 18. Let j be u(7). Sort -13, j, i in descending order.\nAnswer: j, i, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4129\/110 + -399\/10. Let t = -5788439447627\/11088 + 522045403. Let q = 1\/1008 + t. Calculate the common denominator of q and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2 + 0 - 99*s + 93*s - 1. Let m = -106 + 99. Suppose -3*o = -4*v + 1, -o - 3*v + 25 = 2*v. Let i(y) = -9*y - 4. Give m*l(p) + o*i(p).\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_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: Divide 30 by -2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/9*-3 + 3. Suppose 6*w - i*w = 20. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2834, 3848, 5530, 7880?\nAnswer: 10898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -333, -325, -311, -291, -265, -233, -195?\n\"Answer: 3*k**2 - k - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*s**4 - 42*s**4 - 24 - 2*s**2 + 24*s**4 to o*s**3 + c + b*s**2 + n*s**4 + m*s and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -13002210300?\nAnswer: -13002210303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -40c (base 14) in base 6?\nAnswer: -3404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-500)\/3750 - 62\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:43 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from {a: 2, n: 2, t: 1, l: 1, m: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -6\/11, 0.4, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(sqrt(612) - (-3*(sqrt(612)*-4 + sqrt(612)))**2)*-5 + -3 + 2 + -3.\nAnswer: -150*sqrt(17) + 1239300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/5048 and 3\/2524.\nAnswer: 5048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2 + 6. Suppose 2*d = 3*z - r, -8*z - 3*d = -3*z - 16. Suppose 4*y - z*y = 62. What is the remainder when y is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*y**2 + 12678*y + 12678*y - y**3 - 25356*y.\nAnswer: -y**3 + 57*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (243\/(-810))\/(114\/(-40))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2747, -2\/405, -2\/3 in decreasing order.\nAnswer: 4, -2\/405, -2\/3, -2747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.3 take away 12398?\nAnswer: -12420.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*w - 90, 36 = -2*w - 3*m - 0*m. Let h be (-924)\/189 + 2\/w. Let n(f) = 3*f + 2. Determine n(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 506 (base 12) to base 2\nAnswer: 1011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*x - 23 + 8 = 0, 3*q - x = 1. Let n(g) = 13*g - 6. Calculate the remainder when 118 is divided by n(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2318753*a**3 - 1157524*a**3 - 1161231*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 4*p**2. Let d be k(3). Let u = -6 + d. Factor -2*x**3 + x**3 - 3*x**u.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 0, 4, 9347 in decreasing order.\nAnswer: 9347, 22, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u + 0 - 18 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 346417700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90852718 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 - -0.04. Let u be (5 + -4)\/((-3)\/9). Let b be 2\/u + (-14)\/6. What is the biggest value in b, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 615*m**8\/56 - 379*m**5\/12 + m**4\/24 + 21*m**2 + 92*m. Find the third derivative of t(b) wrt b.\nAnswer: 221400*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r + 2*r + r + 3*r - 2*r + 0*r + 0*r + 2*r - r + (1 - 5 + 3)*(-2*r + 2 - 2) - 5*r + 5*r + 2*r - 2*r + 3*r - 3*r - 71667 + 308*r + 71667.\nAnswer: 310*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - 2*r + 65. What is i(6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/2 of a millennium?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-162)\/(-5) + (-6)\/15. Let m be (24625\/4)\/((-1)\/x). Round m to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 305 (b) 3 (c) -3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 a when three letters picked without replacement from aeheedhdhhehadhdhd?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3. Suppose 0 = 5*a - 0*a + r + 12, 2*r + 4 = m. Let n = -3\/10 + 4\/5. What is the third smallest value in -3, a, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 82 + 70. Solve -f = -m*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 + 4*w**2 + 4*w + 1. Let q be y(0). Which is the closest to 9? (a) 4 (b) q (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8347 - -0.3906425.\nAnswer: -8346.6093575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by 303\nAnswer: 28\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 49529528 to the power of 1\/3, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 16*p**2 - 61*p + 83. Give g(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = t - 14*r + 10*r, -2*r = 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 3*a + 5*t, t = -3*a + 4*t + 54. Solve 19*u = a*u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - -34 - (7 + -5). Suppose -7*j - p = -9*j. Calculate the remainder when 31 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -35. Let m be (12*2\/16)\/((-7)\/(-14)). What is the highest common factor of k and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(342\/(-133)))\/((10\/3)\/(-5)).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2 = 23. Suppose -2*x + 5*x - 5*v = 9, 15 = -f*v. Let o be -2 + 2 - (x + 6). Let s(g) = g**3 + 2*g**2 - 5*g + 3. Determine s(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (11\/(-3) + -2)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.03 + -0.03. Let u = 3.1 - p. Let x = -2952.6 - -2953. Put u, 0.5, x in ascending order.\nAnswer: u, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 14) + -1 + 1 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 257 - 87 - 81 - d - 90. Let f(x) = x**2 + 5*x + 5. What is -6*f(y) - 30*j(y)?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {r: 5, t: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18583.99958235 - 18584. What is r rounded to five decimal places?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 21 = -8*j. Calculate the smallest common multiple of 9 and j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -870 = 15*k - 20*k. Suppose -3*u + 102 = -k. Suppose 8 + u = 3*c + n, 5*n = -5*c + 150. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 - 325*o**3 + 2465*o**2 - 3935*o + 1800.\nAnswer: -5*(o - 5)*(o - 1)**2*(o + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 8 + -13 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + sqrt(63) + sqrt(7))**2 - sqrt(7) - sqrt(7) - 6*sqrt(28)\/sqrt(4)) + 1 - 5*(-1 + sqrt(28)\/sqrt(4) + 5)) + 1.\nAnswer: -53*sqrt(7) + 119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 79209?\nAnswer: 792090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, 63 in descending order.\nAnswer: 63, 10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 2:51 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 9*m**2 - 5*m - 24. Let d be n(8). Sort 1, d, 1\/5.\nAnswer: d, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k**4 - 2161*k**3 - 23061*k + 230718679 wrt k?\nAnswer: -4*k**3 - 6483*k**2 - 23061","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 198 = -20*s. Suppose -f = -s + 22. Let v = f + -75. Solve -o = -v*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321814*d**2 + 3234*d**2 - 195590*d**2.\nAnswer: -514170*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3\/7*p**3 - 6\/7*p**4 + 6\/7*p**2 + 0 - 3\/7*p**5 + 0*p = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*x - 2*x = 21, 0 = 3*i - 3*x. List the prime factors of (i + 19 - -1)\/1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 445 + -269. Let q be 1 + -164 - (-7 + (1 - -4)). Let n = k - q. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27780, -105587, -233418, -411273, -639152, -917055?\n\"Answer: -25012*u**2 - 2771*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and -52544\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*-2*(((sqrt(147) + 2)*-6 - ((sqrt(147)*-2 - sqrt(147)) + -1 + sqrt(147))) + -5))**2.\nAnswer: 129024*sqrt(3) + 375552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -7\/1380611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 1\/2, 114, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 10 = 0, -l + 0*g + 3*g + 10 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -264b0a (base 12) to base 15\nAnswer: -c6c91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 700\/49 - 4\/14. Let j be (16\/3)\/(n\/42). Suppose -j - 6 = -2*q. Calculate the highest common divisor of q and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33 and 18.15.\nAnswer: 51.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3422 (base 5) to base 3.\nAnswer: -200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1161280*k**3 + k**2 - 1227208?\nAnswer: -6967680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-3\/2)))**(4\/13)\/(u**(4\/3))**(4\/9))**(-1\/21) assuming u is positive.\nAnswer: u**(46\/7371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 622 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10, 1, -8, -17, -26?\n\"Answer: -9*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + o - 45 = -16, 4*o = 3*q - 59. Solve -112*w + q = -107*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u - 19*u + 5*m + 5 = 0, 4*u - 1 = m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g - 6. Suppose -38 = -3*t - 14. Suppose t*q - 66 - 30 = 0. Calculate the lowest common multiple of f(-4) and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*d = 3*d. Let y be (-3 + 6)\/(-9)*(-6 + d). Solve 2*b + 3*b + 4*h + 20 = 0, 3*h - 8 = y*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*553\nAnswer: -387.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 20*j**2 + 28*j + 40. Let n be z(-18). Suppose -k - 2*r + 0*r = -46, 4*k - n = 3*r. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/10*x**2 + 2*x + 42\/5 = 0.\nAnswer: -14, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = 7*h + 27. Let y(r) = r + 2. Determine y(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 + 36*i**2 + 22. Let c(t) = t**3 + 6. Calculate 3*c(p) - l(p).\nAnswer: p**3 - 36*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*5\/(-10)*(-8)\/3*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(3888)*-3 - (2 + sqrt(48))*2)**2*4)*-5.\nAnswer: -807665 - 18560*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.006 in -41, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4579263 rounded to two dps?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 409*i**4 + 23*i - 57878?\nAnswer: 1636*i**3 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighty-five quarters of a meter?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/69335597 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-234)\/(-24))*(-9)\/78\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 7 = -5*z - 87, 2*t = z + 51. Let r = t + -21. Suppose r*l = -0*l + v + 1231, 12 = -4*v. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2719984 and 1504.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*h = h - 54, h + 4 = 0. Let q(j) = -6*j. Let l(x) = -13*x. Let p(c) = 4*l(c) - 9*q(c). What is the lowest common multiple of f and p(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 3*i**2 - 2*i + 2. Let k be (2 - (2 + 2)) + -1. Let s be q(k). Let z = s + 4. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88.5031 - -0.2031. Round r to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*o, -3*b - 18*o + 5 = -16*o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3601, -3784, -4085, -4504, -5041, -5696, -6469?\nAnswer: -7360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x - 7. Let l be d(6). Suppose -41 = -l*q - 6. Is (-688)\/(-28) - 4\/q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 151, 141, 117, 73, 3?\n\"Answer: -n**3 - n**2 + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152366205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -820.6467 to the nearest 10.\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/20696653 or -1?\nAnswer: -3\/20696653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -27. Let k(g) be the first derivative of 699*g**4\/2 - 2*g**3\/3 + g**2\/2 + 38. Is k(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -o - 2*p, -2167*o + 4*p = -2157*o - 64 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kttqtzzhkhtqhttzzb. Give prob of sequence zztb.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 161079.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -1b?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p + 9. What is n(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.2 + -1.2. Let l = 10 - x. Let u be -1*(1 + (-4)\/6). Sort 0.2, u, l in descending order.\nAnswer: 0.2, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i**4 + 72*i**2 + 12 wrt i.\nAnswer: -8*i**3 + 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -31) + (13 - (-5 + (-2 - -7) - -7))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75485279.\nAnswer: 31, 101, 24109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 0.1, 0.2, 5, 23\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 3*t + 27 = 0, -56*o - 87 = -t - 40 + 119 + 45 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f**2 + 8*f + 1. Let m(c) = -6*c**2 - 9*c - 1. Let s = -106 - -100. Determine s*m(p) - 7*t(p).\nAnswer: p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -178*v**4 + 174.\nAnswer: -712*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31481\/30 + -1049. What is the common denominator of -17\/66 and w?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (sqrt(3) - (-1 + sqrt(12))))*5.\nAnswer: 5*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 228*r**2. Let y(t) = 130 - 5*t**2 + 7*t**2 - 130. Give y(o(i)).\nAnswer: 103968*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5771521\/24 + 240287. Let h = c - -193. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 + 208.353498696\nAnswer: 208.503498696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8633939?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 6*m**2 + 4*m - 3. Let c be s(-5). Solve 2*f = -c*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/6 - 1)*0. Suppose -40*w + 27 = -37*w, 0 = -2*j - 4*w + 34. Put 11, o, j in increasing order.\nAnswer: j, o, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2.1. Let v(n) = 2*n**3 + 35*n**2 - 24*n - 108. Let g be v(-18). What is the nearest to 3 in g, -4, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus -4383214679?\nAnswer: 4383214671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430097?\nAnswer: 47, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6*(-3)\/2. Let l = 88616 + -88625. What is the smallest value in 2\/7, l, o, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152 + 171*a**2 - 298 + 7*a + 176*a**2 + 146 + 135*a**2 - 479*a**2.\nAnswer: 3*a**2 + 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m - 13. Let u(h) = h**3 - 7*h**2 + 4*h + 7. Let o be u(6). Let l be t(o). Is 13 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*-1 - (-781)\/11 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -1 + 7 - 5 - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 - 9*u**2 + 1 + 4*u**3 - 5*u**3 - 10 - 6*u. What is the tens digit of y(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 29, -1, 0.044?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1665*b*k**3 - 1633*k**3 wrt b.\nAnswer: -1665*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/16, 1\/6, 2\/7, 0.5, -22\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2242802.\nAnswer: 2, 29, 38669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -20 + 19. Is 1\/362 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(-1\/4)*o)\/o)\/o)**(-4\/5)*(o\/(o\/((o*o**0)\/o)))**(21\/4))\/(((o\/o**(-1\/5))\/o**(3\/5))\/(o**0)**(12\/11)) assuming o is positive.\nAnswer: o**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + 2 - 2)*(22*r - 9*r - 8*r) - 58*r**2 - 1322 + 1322 as j*r**2 + y + v*r and give j.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 10172*w**2 - 40676*w - 40672.\nAnswer: -(w + 2)**2*(w + 10168)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(21)\/sqrt(3) - 5*sqrt(112).\nAnswer: -22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*z**2 - 239 - 86*z**2 + 237.\nAnswer: -11*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3\/13 + 20*d**2\/13 + 6*d = 0.\nAnswer: -3, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/50)\/(((-24)\/(-15))\/(-4)). Let d = 740.99 + -738. Let c = 0.01 + d. Sort c, y, 1.\nAnswer: y, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 3*c**2 - 3*c + 7. Suppose 15 = 3*u + 5*p + 3, 8 = 2*u - 3*p. What is the smallest common multiple of 42 and w(u)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2241 + 11213?\nAnswer: 14004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*n + n. Determine h so that n - 30 - h**5 + 14 + h**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*x + 9*x + 79*x + 54*x to the form s + f*x and give f.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -6. Let g = -3.7 + b. Let x = -10173\/5068 + 1593\/1267. What is the fourth biggest value in g, x, -1\/4, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1938 and 2142?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d\/d**16*d*d*d**(-1\/21)\/d assuming d is positive.\nAnswer: d**(-253\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**5\/9 + 290*c**4\/9 - 4720*c**3\/9 - 19600*c**2\/9 - 12160*c\/9 + 11552\/9 = 0.\nAnswer: -2, 1\/2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183768 is divided by 2063?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/36)\/((-18)\/4*-1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31564 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**3\/6 + 2*v. Let q(k) = -1 - k**2 + 3 - 2. Calculate s(q(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33 - 4?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 673033.82 to the nearest 1000.\nAnswer: 673000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 5*t**2 + 3*t + 2. Let w(i) = -3*i - 2. Let f be w(-5). Suppose 4*m - f - 7 = 0. Is g(m) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25871 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p + 2. Let s(a) = 5*a - 3. Let w = 4666 - 4664. Give w*s(t) + 5*f(t).\nAnswer: -5*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**2 - 9*j + 3. Let u be b(-7). Suppose u*l = 701 + 354. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -65576, -262263, -590068, -1048997, -1639056, -2360251?\n\"Answer: -p**3 - 65553*p**2 - 21*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -297*d - 3725*d - 611*d - 3773*d to z + v*d and give v.\nAnswer: -8406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 8 = 2*v. What is the units digit of 10\/v*6\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 892.12503 * -0.01.\nAnswer: -8.9212503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 - 252*g**3 + 6*g**4 + 252*g**3 - 2*g**5 - 3*g**5 + 0*g**5 + 0*g**5 - 2*g**5 + g**5 + (2*g - 2*g - 2*g)*(2*g - 2*g + 2*g**4) - 3 - g**5 + 3.\nAnswer: -8*g**5 + 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 720 = 2*w, 4*z + 349 = w + 8*z. Let y(u) = -u**2 - w*u + 369*u - 2*u**2. Let n(g) be the second derivative of -g**3\/6 + 33*g. What is n(y(f))?\nAnswer: 3*f**2 - 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o = -11*o - 11. What is the least common multiple of o and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, 8, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2834130 and 13298610.\nAnswer: 172881930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3032 - 200433?\nAnswer: -142401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3490 + 3567. Which is greater: s or 52?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 11*p**2 + 7*p - 91. What is l(11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 42, 1 in descending order.\nAnswer: 42, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41386 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*r**3 + 25*r**3 + 2*r**4 - 13*r**3 - 1 as v + g*r + z*r**3 + p*r**4 + c*r**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*u - 6. Suppose u*a - 132 - 167 = -m, -a + 607 = 2*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(7) + (sqrt(147)\/sqrt(3) - sqrt(49))\/sqrt(7)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z**2 - 16566 + 16566.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 179 - 14?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*9\/(-12)*552\/230?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Let s(b) = -3*b**3 + 5*b**2 - b - 22. Calculate the remainder when 516 is divided by s(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2\/7)*k)**7*(k\/(k*k**(-2\/3)))**25 assuming k is positive.\nAnswer: k**(98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1029377719 to the nearest integer?\nAnswer: 32084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 2*d - 2. Let y be j(-3). Suppose q + 2736*z - 2738*z = -9, 5*z - 15 = 0. Put -2, q, 7, y in ascending order.\nAnswer: q, -2, y, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywmn when four letters picked without replacement from {n: 3, c: 2, w: 10, y: 3, m: 1}.\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n = -l - 17, 10 = -5*l + 5*n. Let b(a) be the second derivative of 1\/20*a**5 + 0 + a + 1\/3*a**l - 5\/2*a**2 - 1\/3*a**4. Calculate b(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 50*r**3 - 9*r**2 - 5*r - 3. Let p(x) = -48*x**3 + 7*x**2 + 4*x + 3. Give 6*p(w) + 5*t(w).\nAnswer: -38*w**3 - 3*w**2 - w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 11 = -4*m - 0*u, 3*m = 3*u + 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.16\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 746, 1\/8, 0.04 in decreasing order.\nAnswer: 746, 1\/8, 0.04, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.6, -3, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -14*i**6\/15 - 4*i**2 - 63*i. Differentiate m(o) with respect to o.\nAnswer: -112*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 222461*s. Let n(o) = o. Determine n(l(d)).\nAnswer: 222461*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/(-8) - (-285)\/(-6). Let s be 0\/((-9)\/(i\/(-10))). Suppose s = -7*m - 2*m + 27. Solve 3*k = -3*t, -m*t = 5*k - 5*t + 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsata. What is prob of sequence sa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*l - 8862, 26*m + 8820 = 4*l + 22*m. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 3:05 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4527546?\nAnswer: 2, 3, 617, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 3*s - 3. Let v(n) = 0 - 10*n - 23*n + 1 + 11*n + 14*n**2 - 23. Determine 6*v(o) - 44*x(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1422*r = -1423*r + 2433. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 86848.71 years?\nAnswer: 86.84871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 8:20 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 153, 162, 175, 192, 213, 238?\n\"Answer: 2*d**2 + 3*d + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0093 and -28265.\nAnswer: -262.8645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 12:05 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 36 = -4*j, j - 25 = 2*u + 6*j. Let f = u + 17. Let m = f - 6. Is m less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.8 + 11. Is i less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -78 - 6*g**2 - 27*g - 3 - 18*g = 0. Calculate g.\nAnswer: -9\/2, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4474328 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7998, -8006, -8014, -8022, -8030, -8038?\nAnswer: -8046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -134222102 (base 5) to base 7\nAnswer: -5624022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 18490695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -6, 374, -2, 5, -3 in descending order.\nAnswer: 374, 7, 5, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30363466?\nAnswer: 2, 7, 2168819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - k**2 + 2. Let f be y(0). What is the second derivative of 7*o**f + o + 2*o - 3*o**2 wrt o?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2.4, -4, 0.4, -4\/7 in increasing order.\nAnswer: -4, -2.4, -4\/7, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, h: 5, n: 4, x: 1}. Give prob of picking 1 n and 1 j.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 60732312.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -2815.8.\nAnswer: -11263.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*i = -4 + 1, -4*i - 20 = 0. Let g be (-4)\/(-2)*s\/(-4). Let x be ((-2)\/g)\/((-3)\/72). What is x rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 = -15*c - 2*d - 11, 5*c = d + 64 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/5 + 166558232*f\/5 - 6935411161741456\/5.\nAnswer: -(f - 83279116)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9, -21, -39, -63, -93, -129, -171?\n\"Answer: -3*x**2 - 3*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c + 2. Let b be m(7). What is the remainder when 22 is divided by b\/(-7) + 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406385790.\nAnswer: 2, 3, 5, 109, 124277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 7*c**2 - 4*c - 8. Let z(w) = w**2 + 6*w + 16. Let g be z(-4). Let k be o(g). What is the tens digit of 342\/k + 3 + 1\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 803656 divided by 4\nAnswer: 200914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 55*r - 47*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-16)\/24*1*(-1 + -869)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + (-368)\/(-23))\/(2\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 905?\nAnswer: 1\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from paaprwrrpzapbaapp?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3975479 and 15670?\nAnswer: 39754790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-0.00750205.\nAnswer: 0.00150041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/119*1*(44\/16 + -2).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/1472 + -47083\/30912. Find the common denominator of l and (-1 - 16)\/((-48)\/(-2)).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -16 + 12 - (-1 + -1510)?\nAnswer: 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - q + 20 = 0, 4*m - 6*m - 3*q - 45 = 0. Let k = 27 + m. Does 9 divide (-1 - 0)\/(k\/(-210))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = -2*i - 99. Let c be i\/(-7) + (-16)\/56. What is the tens digit of -4 + c + (68 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**33*u**(-11\/8)*u*((u*u**(-9\/7))\/u)\/((u*u**(-2\/7))\/u) assuming u is positive.\nAnswer: u**(-267\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -7) + 7 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*o**2 - 19*o**2 - o**3 + 7*o**2 + 81 + 140 + 65 in the form d + w*o**3 + i*o + v*o**2 and give d.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 9*o**2 - 9*o - 10. Give p(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 666078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/54096 and -149\/14112.\nAnswer: 324576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 1. Let x be h(4). Let c be ((-8)\/20)\/((-3)\/x). Let r = 4.3 - -4.7. Which is bigger: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2528.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22888508801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 270493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4550899 is divided by 110997?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1331))*3)**2.\nAnswer: -396*sqrt(11) + 12015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + (0 - 4))\/(-1). Suppose 0*m - m = 4*a + 5, -4*m - 2*a + 8 = 0. Let t(k) = -4*k - 2*k**3 + 5*k**2 + m - 2*k**3 + 3*k**3. Calculate t(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 4. Let s be (-2)\/(21\/((-1155)\/22)). Sort s, -4\/5, l in descending order.\nAnswer: s, -4\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, 6, 2 in descending order.\nAnswer: 11, 6, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c5c3 (base 13) in base 3?\nAnswer: -21012020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4130 > 715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5*n = 44, 2*o = -3*o - 15*n + 12*n + 29 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1844434111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-138)\/184 - 23*((-894)\/(-456) - 2)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*a = -4551 - 39237 for a.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -142 + 76. Suppose -562 = 5*a - 4*m, -4*m = -4*a - 2*m - 452. Let n = z - a. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 8 + 43 = 0. Which is the second biggest value? (a) 0.4 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*h + 61*h - 2419032 = 0. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8369304 - -3622?\nAnswer: -8365682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 46*y**2 + 122*y + 450. Determine k(43).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s. Let l(h) be the third derivative of h**6\/60 + 13*h**3\/6 + 17*h**2. Let m(o) be the first derivative of l(o). Determine g(m(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u**2 + 2 - 3*u + 4*u + 3*u**2 + 5*u. Let b be 1\/4 - 10\/80*-46. What is n(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j + 116 - 118 + 38*j to the form b*j + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -121420.68 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200111012222 (base 3) in base 9?\nAnswer: -1614188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - p + 0*p = 2*d + 47, 10*d - 1217*p + 1212*p - 235 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5714391, 11428759, 17143129, 22857501, 28571875, 34286251, 40000629?\nAnswer: 45715009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3280*a + 2 - 5*a**2 - 16 - 4*a**2 - a**3 - 3285*a. What is o(-9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112311.98 + -0.1.\nAnswer: 112311.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2256, 8986, 20194, 35880?\nAnswer: 56044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 10, 7, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 5, 1\/2, -15, 2\/17?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/4)\/8)\/((-1)\/12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.5. Suppose 4*f - 41 = -f + 4*s, 8 = -2*s. Let p be 4\/((378\/135)\/(12\/10 + -1)). Put f, 0.02, v, p in descending order.\nAnswer: f, v, p, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19404 - -19404.97358. Round d to 3 decimal places.\nAnswer: 0.974","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 1:07 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -96, -130, -148, -156?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - (20 + -26 + 41)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117424*t - 117498*t = 1845 + 3039 for t.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -31911 and -21082.75.\nAnswer: -52993.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 199.128, 6, -1\/2, 2\/13, 5.\nAnswer: -2, -1\/2, 2\/13, 5, 6, 199.128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 5975 and 1.\nAnswer: 5976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95378 is divided by 175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 395a (base 14) to base 5.\nAnswer: 310301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c - 16 - 7 + 0*c + 18 + 34 to b*c + t and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -152*b**2 - 372*b wrt b.\nAnswer: -304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15.9, -8032, -2, 2, 1 in increasing order.\nAnswer: -8032, -2, 1, 2, 15.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3 - 6*g + 2*g**2 - 4 - 1 + 4*g. Let h be a(-2). Suppose -35*j = 447 - 447. Solve j + h = -5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 20*l - 69. Let i be o(23). Suppose 2*n - 5*n + 15 = 3*a, n - a + 3 = i. Let m = -3\/14 + 33\/56. Which is smaller: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 2*x**2 - 9*x + 2. Let s be p(-4). Factor 23*q**4 - s*q + 3*q**3 - 26*q**4 + 3*q**2 + 3*q.\nAnswer: -3*q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 20*p - 28*p + 7*p. Let f(i) = 3*i + 7. Determine f(u(t)).\nAnswer: -3*t + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 6*m = -14. Let d be (-26)\/(-7) + (-4)\/m. Sort d, -5, -4, -11 in descending order.\nAnswer: d, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.65, -0.1, -78\/71?\nAnswer: -78\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -11. Let f = 129 - 81. Suppose -72*v**3 + 80*v**3 - 16 + f*v - 39*v**2 + k*v**2 = 0. What is v?\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 3. Let a be z(10). Suppose 68 = a*h - 3*h + i, -h - i + 20 = 0. Solve 3*l = 4*v - h, -2*v + 5*v - 12 = 3*l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -6 (b) 8 (c) 2\/7 (d) -72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277 = -12*i + 227. Let g = -9 + 23. Calculate the lowest common multiple of g and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110 divided by -2?\nAnswer: -1055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001418 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21788 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -19. Let z = h + -5. Let s be ((0\/3)\/1)\/2. Which is the nearest to z? (a) 3 (b) s (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13334559700 to the nearest 1000000.\nAnswer: 13335000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22213 + -155490\/7. Find h, given that -2\/7*h**3 - h**2 + z*h**4 - 4\/7*h + 0 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + w + 9, -7 - 10 = -a + 3*w. Suppose 2*h + v = 40 - 4, 68 = 4*h + v. Solve -d = 4*o + h, 27 = -4*d + d - a*o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170522?\nAnswer: 2, 11, 23, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1574051 + 1.6445.\nAnswer: -1574049.3555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 651119649 to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(8)*3) + -3.\nAnswer: -3 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43997 is divided by 200?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*(-15)\/(-780)*1032\/602*7\/(-5).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3264.9137 - -3238.98. Let x = i - -26. Round x to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-210)\/(2 + 3)*6\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -17*p**2 + 4*p**2 + 9*p**2 + 3*p**2. Let k(m) = m + 4. Let c be k(-4). Let t(b) = 4*b + c - 7*b + 0. Calculate t(z(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**2 - 225022*w - 2475484 = 0.\nAnswer: -11, 112522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30731381?\nAnswer: 23, 1013, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -1\/5 (b) 3 (c) -5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 323250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -101b - -1?\nAnswer: -101a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 - 5*i - 4. Let d be o(4). What is the highest common divisor of d and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -10) + -6 - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2712.041 + 0.4.\nAnswer: -2711.641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*q + 65*q + 57 = -1931 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041747 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/3600 and 113\/162?\nAnswer: 32400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22195182?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**3\/6 + 11*j**2 + 170*j + 1543. Factor n(f).\nAnswer: (f + 10)*(f + 34)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1270\/543 - 1\/181. Which is bigger: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15 + 1 - 2 - 2. Suppose -10*g + k*g = 576. Suppose -4*q = 5*q - g. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497 + 524 = -3*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1404247 (base 8) to base 12\nAnswer: -170a07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 - (-156)\/15. Let q be (2\/(-6))\/((-21)\/(-7749)). Let b = q + 123. Solve -f - 4*f + k = b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 11:17 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 12*p + 28 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (41\/(1722\/(-36)))\/(15\/14)*-15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.9 at most as big as 327160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4794*l. Let q(f) = 55*f. What is v(q(r))?\nAnswer: 263670*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/21 - 680*c\/3 - 60866\/7.\nAnswer: -2*(c + 39)*(c + 2341)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 7*r - 2*r + 7480000, 5*q + 5*r = -37400000. Round q to the nearest 100000.\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 19*w - 6285. Is 17 a factor of w\/3 + (-50)\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*z - 20, -7*z - 20 = -2*z - 4*l. Let a = -0.05 + 0.45. Let f = a + 0. What is the biggest value in z, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 + a**2 + 0*a**2 + 3*a**2 - 5*a**2 + 0*a**2 + (2*a - a + a)*(-4*a - a + 4*a) + 3 + 1162*a**2 - 776*a**2 - 1 to h + s*a**2 + o*a and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 635582.4844 minus -613?\nAnswer: 636195.4844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1330130033 + -11?\nAnswer: 1330130022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 877756 divided by -11.\nAnswer: -79796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (320\/256*(-16)\/(-15))\/(4\/(-42))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 751 by 423.\nAnswer: 751\/423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + (0 + -6 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -71*n + 67*n - 4, 4*n + 12*n = -2*f - 16 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -220*h**2 - 101974 + 101974 + (2 + 15*h + 8*h - 33*h)*(-5*h + 0*h + 3*h) to p*h + j + m*h**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b. Let x = 7 - 5. Let a be ((-2)\/4)\/(x\/(-4)). What is the units digit of l(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -55*x - 3. Let d(g) = 27*g + 2. Let p(q) = -9*d(q) - 4*z(q). Is 21 a factor of p(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 3*o + 10*o + (2*o + 1 - 1)*(3 + 0 - 4).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/136 and 89\/68.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206, -1590, -5336, -12620, -24618, -42506?\nAnswer: -67460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31185 and 1620.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2435 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*f + 15*f + 0*f + (3*f + f - 6*f)*(-3 + 2 + 3) + (-4*f + f + 2*f)*(-5 + 4 + 3) - f + 3*f - 3*f)*(-7*f + 3*f - 3*f)*(f - 4*f + 4*f).\nAnswer: 378*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1934903\/63 - -30714. Find the common denominator of 59\/357 and o.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 35 = -2*l + 49, -5*g + 102 = 3*l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17660, -27676, -37692, -47708?\n\"Answer: -10016*t - 7644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-32)\/3)\/(33\/3) and ((-459)\/45)\/(72\/40)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1788?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 + 2.03. Suppose 15 = 7*m - 4*m. Let k = 283 - 283.5. What is the nearest to z in m, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 20728944?\nAnswer: 20728944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 5, -0.2902, -2.41?\nAnswer: -0.2902","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 10. Suppose -5*t - k + 54 = 0, 0 = -t - 3*k + 11 + 11. What is the greatest common factor of x and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 q when three letters picked without replacement from {a: 1, q: 3, o: 2, r: 5, d: 2, e: 6}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3129 is divided by (-4)\/(-32)*-6 + (-3 - (-469)\/28).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120122201 + 21?\nAnswer: -120122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 5*z - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5841781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/(-6))\/((-9)\/1338) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3154 and 6474?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.467 plus 0.04?\nAnswer: -4.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 3. Let l(m) = -m**2 - 4. Let f(p) = 4*h(p) + 3*l(p). Let i(b) = -11*b + 3. Let x(n) = 90*n - 25. Let t(c) = -25*i(c) - 3*x(c). Give f(t(k)).\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154039 by -48.\nAnswer: -154039\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-3))\/((-5)\/(-120)). Suppose 107 = 2*p - 3*t, -592*p + 3*t = -587*p - 299. What is the highest common divisor of p and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, q: 2, n: 1, p: 2, l: 1}. What is prob of picking 3 v and 1 p?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42.09923 - -0.09923. What is the closest to 8 in 3\/2, -2\/7, f, 2\/5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j - 20. Calculate r(-8).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5737565 rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35.38 and -0.5?\nAnswer: 17.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a**3 + 1. Let k be x(-1). Suppose -k*p = 3*q + q, 0 = q + 3*p. Let t be q + 0 - 14\/(-2). Is t < 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 976, 279, -5, 4 in increasing order.\nAnswer: -5, 4, 279, 976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5337 divided by 593.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**4 - 95*q**3 + 335*q**2 + 2375*q - 5250 = 0. What is q?\nAnswer: -21, -5, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/7172 and -87\/652.\nAnswer: 7172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79444\/(-8)*(-7 - -3)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**3 - 60*u**2 + 1872*u - 3472 = 0 for u.\nAnswer: -31, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - -53?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 31. Let l(j) = -7 - 8*j + 3*j + 7. Determine x(l(c)).\nAnswer: 5*c - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1464608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-5))\/((-8)\/(1224\/27))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 14 + 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2543 + -2535. Suppose -3*r + 5*v + 36 + 22 = 0, 2*r = -5*v + 22. What is the highest common factor of r and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -10*b**2 - 32*b - 263. Let p(x) = 34*x**2 + 102*x + 790. Calculate -16*k(g) - 5*p(g).\nAnswer: -10*g**2 + 2*g + 258","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 725, 589, 453, 317, 181, 45?\n\"Answer: -136*p + 861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -40, 8, -2\/5, -2\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 10*i**2 + 16*i + 1. Determine r(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 14*w**2 + 12*w + 4. What is f(-13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2036 - -2044. Solve 33*r - s*r = 75 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (159*o - 4572*o - 4705*o)*(0*o + 0*o - 2*o**3).\nAnswer: 18236*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5857142 to the nearest integer?\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/360)\/((-2)\/3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -211?\nAnswer: -84.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 10*f**2 - f - 11. Let t be i(-10). Suppose 0 = 4*c - 5 - 3. Let y(n) = -2*n**2. Let q(k) = -k**3 - k**2. What is c*q(r) + t*y(r)?\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 1, -3 in ascending order.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7487790*q = -7487794*q - 48 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 318, 307, 288, 261?\n\"Answer: -4*b**2 + b + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 17*y - 12*y + p, 0 = -y + 5*p + 47. Find a such that -2*a + 0 - 1\/2*a**3 + y*a**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 - 195*k - 1094. Let x be i(-6). Solve x*z - 189 = -5*u - 227, -3*u = z + 13 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 68*l**2 + 46*l - 95. Calculate the remainder when o(-66) is divided by 266.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-15)*(-15)\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 368186139 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuoq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -4*j**7\/7 - j**6\/10 - 5*j**4\/12 + 6193*j**3\/6 + 1173*j + 2. What is the second derivative of d(x) wrt x?\nAnswer: -480*x**3 - 36*x**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162)\/270*20\/18?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 186, 308, 430, 552, 674?\n\"Answer: 122*z + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1117.471 - -1117. Let p = y - -0.051. Let m = p - -0.02. Which is the smallest value? (a) 3 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -5 (b) -361 (c) -2 (d) -39.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 - -349. Let o = w + -301. Which is the third biggest value? (a) o (b) 1\/42 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/54 and -4\/142911?\nAnswer: 285822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9021619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/14*(-24)\/54*6\/(-6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -91, -181, -307, -469?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1548, 1547, 1546, 1545, 1544?\n\"Answer: -s + 1549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5ab - -43?\nAnswer: -568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 6 = 9*x. Let g be 5\/(-15)*(7 + (-75)\/12). Which is the closest to -1.1? (a) 2 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 20 = -4*c, 37*a - c + 9 = 34*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -1\/15*j**6 + 0 - 2*j + 0*j**3 + 1\/12*j**4 + 0*j**2 + 0*j**5. Find the third derivative of d(r) wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -20?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(1*((-6)\/(-27))\/(2\/9)). Let f = 293 + -188. Calculate the greatest common divisor of f and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*n - 40*n - 71*n**2 + 117*n - 40*n.\nAnswer: -71*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 1:29 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 241471 (base 8) to base 4\nAnswer: 110030321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(3\/4))\/(n*n**9*n))\/(n**10*((n*n\/(n\/n**(2\/3)))\/n)\/n))**12 assuming n is positive.\nAnswer: n**(-245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3430, -0.321, 5?\nAnswer: -0.321","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*j = -16, 6*c - 8*c + 10 = -j. Put -5, c, -2, 3 in descending order.\nAnswer: c, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 118, 152, 140, 58, -118, -412?\nAnswer: -848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-262)\/(-4) - (1 - (-1)\/(-2)). Let p = -44 + t. Find the third derivative of -22*c**2 - p*c**5 + 42*c - 42*c wrt c.\nAnswer: -1260*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)*n*n**(-7)*n**(-1)*n**(-1\/6))\/((n\/n**(-4))\/(n*n**(2\/17)\/n*n)*n*(n*n**6)\/n*n*n**(1\/3)) assuming n is positive.\nAnswer: n**(-727\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18191 + -18184. Solve -3*g + n + c = 0, -3*g = 27*n - 26*n - 17 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.3 (c) -28 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 541664\nAnswer: 216665.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -126, -132, -148, -180, -234?\n\"Answer: -b**3 + b**2 - 2*b - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 + -45. Let w = d + 41. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -280\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14627 - -14626.6. Put 0.4, h, 0.21, 2\/25, -0.02 in ascending order.\nAnswer: h, -0.02, 2\/25, 0.21, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 38*p**3 + 9*p + 39*p**3 - 7*p + 12*p + p to i*p**3 + z + f*p**2 + x*p and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ba84 (base 15) to base 16\nAnswer: 9a4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*b = 199, 8 = -4*b - 0*b. Let g be 3\/2 - d\/6. Let h(x) = -3*x - 7. What are the prime factors of h(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571825 (base 9) in base 15?\nAnswer: 123e78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20916, 70884, 149900, 257964?\n\"Answer: 14524*i**2 + 6396*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - 1)*(-711)\/1422?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 177\/(-315) + (-2)\/(-15). Sort 3, 0.5, i in decreasing order.\nAnswer: 3, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjj when three letters picked without replacement from wjwwjwrpowrrrrtor.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.016 + 0.216. Let r = 27.2 - 34.2. Sort r, -1, n, -2\/3 in ascending order.\nAnswer: r, -1, -2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3971*b**2 + 13*b + 1465*b**2 - 28*b + 16*b.\nAnswer: -2506*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(44)\/sqrt(4) + sqrt(396) + -2)**2.\nAnswer: -12*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*sqrt(1728))\/(-6*sqrt(36)\/sqrt(4)).\nAnswer: -5 + 20*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42260337*q*u**5 + 13*q*u + 19*q - 9105*u**2 wrt u?\nAnswer: 2535620220*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/5 (b) -0.4 (c) 2\/7 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/198 and 38\/21?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c + 580 + 572 - 1747 + 595 - 59*c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 2*j**2 - 1. Let w be h(2). Let f be (-33)\/(-4) + w\/4. Let b = -4 + f. What is the least common multiple of 7 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.046, 27, -2\/5, 1 in decreasing order.\nAnswer: 27, 1, 0.046, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -562*i = -559*i + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2\/9*u + 4\/9*u**2 - 2\/9*u**3 = 0 for u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = 10*j - 417. Solve 7*y + 100 = -j*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 4. Suppose -j = -0*j + 3. Calculate the remainder when 13 is divided by g(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + -3*sqrt(540) + sqrt(60))\/(sqrt(108)*-4).\nAnswer: 7*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128953 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r + 55 = 5*k, 9980 = -r - k + 9979 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 678 (base 13) to base 16\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {w: 1, g: 1, d: 6, v: 4, p: 1}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Let h(i) = 9*i**3 + 7*i + 21*i + i**2 + 125 - 10*i**3 - 33*i. Let w be h(5). What is the nearest to f in 4\/3, 0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 239\/3 (b) 2 (c) -0.04 (d) -3 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4103\/(-275) - -16 - (-4)\/(-50). Put a, -5, -6, 16, 3 in descending order.\nAnswer: 16, 3, a, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*k - 269 = 46 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 + 78. Suppose -4*h + h = 4*b - 12, v = b - 4*h - 3. Let k(p) = b - 2*p - 3 - 6 + 3. Calculate k(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*i + 336 = 11*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z + 1. Suppose -2*t + 10 = -4*t. Let y be j(t). Let p = y - 13. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, a: 2, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -2)\/1*((-24 - 2) + -8). Solve 3*a = -5*m + 31, 4*a - 4*m - y = -7*m for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b + 20*b + 5*b to l + z*b and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.09, -34, -322, 1 in ascending order.\nAnswer: -322, -34, 0.09, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26624594, -26624589, -26624584?\nAnswer: -26624579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1041 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7214 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 14. Let w = 714 + -714. Suppose 16*m + h = 14*m - 2, w = -4*m - 3*h - 6. Sort 3, m, 4, z in descending order.\nAnswer: z, 4, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2*f = z - 53, 5*z - 360 = f. Let s = -69 + z. Suppose -5*a = s*h - h - 335, a = -2. What are the prime factors of h?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.0704223.\nAnswer: 0.02112669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**3 - 12*p**3 - 6*p**3 + p**3.\nAnswer: -22*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2880) + 3)*-1.\nAnswer: -3 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1744 + 3*t - 8*t - 2*t - 1751*t**2 + 7*t with respect to t.\nAnswer: -3502*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*y = 2*r + 27, 5*r = -3*y - 39. Let x(s) = -5*s - 21. Let f be x(r). Find the first derivative of 9 + f*i**3 - 6*i**3 - 8*i**3 wrt i.\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.7. Let l = -61\/12 - -16\/3. What is the biggest value in 3, l, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 35, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12480 = 14*b - 18*b, -b + 5*z = -3120. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58373811 is divided by 535.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 5, 0 = -g + 23*t - 19*t + 110. Calculate the remainder when g is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppzpzffpz. Give prob of picking 2 f.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2) + 1\/(-2). Let r = g + 3. Let q be 1\/(3\/72) + -2. What is the greatest common factor of r and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2. Let g(h) = -2022275*h**2 - 3. Determine g(p(w)).\nAnswer: -2022275*w**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -37.1599?\nAnswer: 185.7995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*u - 2 - 10*u**2 - 10*u in the form m + c*u + t*u**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*3 + 2 + sqrt(20)\/sqrt(4))**2.\nAnswer: 88*sqrt(5) + 2424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4920 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34378585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123474 is divided by 588.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2458 - 31*y**3 + 2458.\nAnswer: -31*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 668\/649 - 50\/59. Which is the smallest value? (a) 5 (b) m (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586*l = -589*l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 421105086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 0 + 0*o**2 - 1\/6*o**3 + 3*o + 7\/12*o**4. Calculate i(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/15*9\/(-6))\/(24*(-775)\/(-248)).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2526 bigger than 2525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -48*z**3 + 7*z**2 - 8*z - 15. What is n(2)?\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12093 + -12092. Do -1\/4366 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 3*h + 393. Suppose h = 4*l - 117. Let s(z) = 125*z - l*z - 66*z. Let c(r) = -11*r. Determine s(c(u)).\nAnswer: 33*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21341689*l**2*w**2 + 17*l**2*w - 6*l**2 + 2*l*w + 4*l - 11 wrt w?\nAnswer: 42683378*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 53*f + 260. Let j be d(5). Let c be j\/15*(-10)\/6. Let u(a) = -a**3 - 4*a**2 + 2*a - 2. Give u(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14554 is divided by 1947.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 873944, 873951, 873950, 873935, 873900, 873839, 873746, 873615?\nAnswer: 873440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -29. Let z(a) = -2*a**2 + 9*a**q + 7*a**2. Let i(m) = -m. Give z(i(o)).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117297 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - -6 - (-3 + 2). Let x be 52\/(-8) - 1\/2. Let d(r) = r + 5. Let k be d(x). Sort k, q, -4 in descending order.\nAnswer: q, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 6*b + 25. Calculate the smallest common multiple of 24 and h(-8).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 16*b**2 + 12*b + 47. Let n be u(15). Suppose -4*p + 82 = n*i, 5*p - 10*p = -i - 113. What is the greatest common factor of 4 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114175 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + 13*x - 17. Let w = -155 + 147. Let a be s(w). Solve 0 = g + 4*l - a, 2*l + 10 = -g + 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 46. Suppose -p - 5*l = 12, o*p = 2*l + 7 + 5. Solve -p*k + 5 = -4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from susshpddiihu. Give prob of sequence uidp.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 236915*z - 947672. Calculate p(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -c - 4*f - 14, 5*c - 5*f - 30 = 0. Solve 3*n + 10 = c*k, 6*k - k = 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p**2 + 260*p**3 + 0*p**2 + 210 - 128*p**3 + 43 - 130*p**3 in the form m + h*p + o*p**2 + j*p**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and 416.40563.\nAnswer: 16.6562252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*x = 130*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2081, 2082, 2083, 2084, 2085?\nAnswer: 2086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 56*b - 16. Let d = 6 + 0. Calculate the remainder when w(1) is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, x: 3, h: 5, y: 4}. Give prob of picking 2 x and 2 h.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a micrometer in nanometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 916257971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -463*w**2 + w - 55 wrt w.\nAnswer: -926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-90)\/50 + (-1)\/5. Let z be ((-20)\/6)\/(n\/(-24)). Let t = 88 + z. Calculate the remainder when t is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-336)\/(-154))\/(-4))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34754 (base 8) to base 6.\nAnswer: -152352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 437*d**2*r**4 - 3*d**2 - 69 wrt r?\nAnswer: 1748*d**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1880*w**3 - 43*w + 43*w - 1883*w**3 - 567*w**2 + 2 as r + c*w + f*w**3 + a*w**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 e, 1 c, and 1 x when four letters picked without replacement from {x: 5, v: 1, c: 5, o: 1, g: 2, e: 2}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 67874210 rounded to the nearest one million?\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*b, 2*s = 8*b - 9*b. Is 20\/87 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -3*k - 2*w + 7, -4*k = -4*w - 16. Let a(j) = -j**k - 4 - j**2 + 0*j**3 - j + 1. Suppose 8*i - 1 = -1. Give a(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddqq when four letters picked without replacement from dqddqqq?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o**2 - 7*o**2 - 53*o**4 + 44*o**4 wrt o.\nAnswer: -216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29400, 27069, 24738, 22407?\n\"Answer: -2331*m + 31731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 - -1828?\nAnswer: 183a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 8)\/40 + (-18)\/112?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 640124452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.613 times -7?\nAnswer: -501.291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/((sqrt(40) - sqrt(40)*1)\/sqrt(8) - sqrt(5)) + -4 + (sqrt(320)*2)**2.\nAnswer: -sqrt(5) + 1276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -6. Find the third derivative of 54*n - 54*n - 7*n**d + 2*n**2 wrt n.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39, -118, -195, -234, -199, -54?\n\"Answer: 6*l**3 - 35*l**2 - 16*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25099648?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55.4 - -0.4. Let x = -9.1 - -67.8. Let c = j + x. Round c to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 338, 337, 336, 335, 334?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -538810 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 6*j**2 + 8*j + 12. Let n be v(5). Let g(x) = 7*x + 6*x + 5*x - n*x. Let c(y) = 3*y. Give c(g(a)).\nAnswer: -27*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9 + 13 - (22\/3 + -3). Which is the nearest to v? (a) -0.4 (b) -0.1 (c) -5 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -11677, 2, 0 in ascending order.\nAnswer: -11677, -31, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -178 - -154.4. Let k = 23.67 + d. Let g = -0.1 - 0. What is the closest to g in k, 0.1, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.19 + 0.29. Let p(g) = -g**3 + 3*g**2 + g - 1. Let n be p(3). Let x be 6 + 51\/(-21) - 4. Which is the closest to l? (a) n (b) 1\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**2 + 6*r + 4. What is w(-3)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00025719581 to five dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 + (-2 - (-3978)\/(-78)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -221\/2 - -8615\/78. What is the biggest value in -4\/3, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*s**2 - s - 3*s**2 - 22 + 18*s**2 + 2*s**3 - s**2 as o*s**3 + w*s + j*s**2 + z and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -9738122*y + 1. Let f be h(1). Suppose t = 5*t - 20552484. Let l = f + t. Round l to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 2:01 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**5 + 6131721*v**2 - 180639797*v wrt v?\nAnswer: 20*v**3 + 12263442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -142, 4689, -5, 6 in descending order.\nAnswer: 4689, 6, -5, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 1 - 1 + 4)*(9 + 5 + 63)*(-4*j**2 + j**2 + 5*j**2 + (-2*j + 3*j + 0*j)*(-j + 3*j - 3*j)).\nAnswer: -77*j**3 + 154*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 8) to base 11.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*r - 2*w - 52, 4*w + 54 = 5*r. What is the remainder when 49 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-150)\/(-4) - 0) + -2 and -41\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*i**2 + 17*i**2 + 5*i**2)*((-4*i**2 + 0*i**2 + 3*i**2)*(-i - 2*i + 4*i) - 2*i**3 + 0*i**3 + 0*i**3 - 8*i**3 + 11*i - 11*i).\nAnswer: -451*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -12262, 0 in decreasing order.\nAnswer: 3, 0, -12262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -52810*n. Let j(g) = -g**2. Determine k(j(r)).\nAnswer: 52810*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 3:59 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + -3. Let r = 13 + m. Suppose -o - 1 = -r. Solve 0 = -o*h + 10 + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 135408.\nAnswer: 11\/135408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 15912 = 11*k. What is the common denominator of 48\/91 and -1 - -9 - 4879\/k?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**4 + 47224428*y**3 + 283346640*y**2 + 566693328*y + 377795568 = 0 for y.\nAnswer: -2, 15741482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.12 and 53244 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1114636 millilitres?\nAnswer: 0.0001114636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1160 and 5568.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 19 = -3*k, -k = 144*w - 142*w + 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 487*f**2 + 361*f**2 - 30*f**2 to y*f**2 + h + k*f and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*-2 + -2)**2*-6 - (6*sqrt(26)\/sqrt(2) + sqrt(117)\/(sqrt(9)*4))**2.\nAnswer: -507709\/16 - 480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -133 (b) -2\/11 (c) -0.3 (d) 0.1 (e) 0.2 (f) 50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 - -68. Does 21 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 89287.83 millilitres?\nAnswer: 89.28783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16016 is divided by 116.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -43424, -86768, -130114, -173462, -216812?\n\"Answer: -h**2 - 43341*h - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112024?\nAnswer: 2, 11, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65825908 and 644?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-6 - -8) - (-5 - -13).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 70002 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -39334.\nAnswer: -11\/19667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 9325 = 10*p + 7*p. Calculate the remainder when p is divided by 49.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593620 is divided by 567.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**6\/40 + r**4\/24 + r**2 - r. Let c(i) be the first derivative of b(i). What are the prime factors of c(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3839*p**2 - 298*p + 34. Is u(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305310.\nAnswer: 2, 3, 5, 10177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2c (base 15) to base 9\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4546, 11, 23, 3 in ascending order.\nAnswer: 3, 11, 23, 4546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*t**3 - 7*t**2 + 27*t**3 - 2*t**6 - 49*t**3 wrt t?\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -66*h**2 - 534*h - 9. Calculate y(-8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (3 - (-4 - -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*k = 167*k + 16464 for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 7*g**2 + 9*g - 1. Let n be v(-9). Let o be n\/(-24)*3\/(-1). What is the third derivative of -11*q**2 - 5 - o*q**6 + 3*q**6 + 5 wrt q?\nAnswer: -840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000064206777 rounded to seven decimal places?\nAnswer: 0.0000642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i - 56. Let j be o(11). Let f be (-48280)\/((j\/3)\/(250\/(-3))). What is f rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or -3.736?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*z + 16, -4*j - 4*z = -3*z - 15. Suppose -i = i - j. Suppose -i*u - 135 = -5*u. Solve 5*b = g + 29, -7*g = -5*b - 2*g + u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 1\/8 (c) 1\/3 (d) 141\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 2*r**2 + 2. Let k be z(-2). Let c be k + -1 + (-1 - -2). Suppose 15 = -17*u + 83. Calculate the highest common divisor of c and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((0 - (6 + -4)) + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2. Let g(c) = -c**3 - 13*c**2 - c - 9. Let w be g(-13). Suppose -22 = -w*m - 2. Let t(p) = m*p - 1 + 5 - 4. Determine v(t(y)).\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**4\/8 + 2*l**2. Let z be x(-1). Solve 2*u + 4*b = -z*u + 2, 3*b - 19 = 5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*1 - (-3 + -62).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 42054 and 40259?\nAnswer: 1795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b = -10*b - 3928. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -944 divided by -472\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -607*t**4\/3 - 1156*t**2 + 2. Let l(q) = 2*q. What is n(l(v))?\nAnswer: -9712*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrrvvvvvvvrvvv. Give prob of picking 4 v.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -280 - -472. Let s be 2*2 - (-10 + (-120 - 10)). Calculate the greatest common divisor of v and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 31. Let a(p) = 435*p - 134. Let j(m) = -124*m + 45. Let c(v) = -4*a(v) - 14*j(v). Give 2*c(t) + 7*i(t).\nAnswer: -t + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((868 - 891) + (-1 - -24) - (-2 + -75)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, c: 2, j: 1, q: 1}. Give prob of picking 2 c and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-4)\/16*4. Which is smaller: 13 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 109807676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 163? (a) -3 (b) -1 (c) 5\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2777 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5552 - 5592. Suppose 3*d = 4*k + 5 + 131, k - 5*d + 34 = 0. Let v = k - n. Solve -2*b = v, 2*b - 10 = 3*y - 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + 8418165*p**2 - 5905639483656*p + 253926932848644.\nAnswer: -3*(p - 1403006)**2*(p - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -29*f**2 + 84*f - 164. Determine p(2).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1938*g - 1941*g = 21*c + 6, -3*c = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)*y*y*y**(2\/21)*(y*y**(-26))\/y*y*y*y*y*y**(-5\/3)\/y*y*y*y)**22 assuming y is positive.\nAnswer: y**(-4092\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -194*n + 206*n - 41340. List the prime factors of n.\nAnswer: 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3659520 and 628980.\nAnswer: 40254720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-45) + 2\/(-9). Suppose x = -2*t + 10, m - 103 = -7*t + 4*t. What is the highest common factor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101484 (base 10) in base 11?\nAnswer: 6a279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 3*s**7\/70 - 11*s**6\/40 - s**5\/30 + 13*s**4\/6 + 4*s**3 + 4*s**2 - 2*s. Find h, given that b(h) = 0.\nAnswer: -2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**3\/3 - 11*v**2 - 120*v + 1243. Factor o(d).\nAnswer: -(d + 10)*(d + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3910005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -553*x**2 + 274*x**2 - 30*x**3 + 23*x + 278*x**2.\nAnswer: -30*x**3 - x**2 + 23*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4237692 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y. Suppose 5*c + 3*p - 40 = y, 0 = 2*p - 3 - 7. Let j = -11643 - -11646. Solve -m - 10 = -c*w - 3, 0 = 3*w - j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 13*n**2 + 1. What is w(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**6\/60 - 4*l**5\/75 + l**4\/15 + 2*l**2 - 6*l. Let x(c) be the first derivative of z(c). Factor x(t).\nAnswer: -2*t*(t + 2)*(5*t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345.761548 rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.099 - -0.04663677.\nAnswer: 10.14563677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (1 - (1 - -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 112 = 4*i, 5*i + 4*x = 2*x + 168. Let t = i + -25. Let b = 3 - -2. What is the lowest common multiple of t and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 19*m**3 + 6*m**2 - 12*m + 6. Let x(v) = -19*v**3 - 5*v**2 + 12*v - 5. Let g(j) = -5*u(j) - 6*x(j). Find the second derivative of g(k) wrt k.\nAnswer: 114*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(4 + 6\/4*(-376)\/(-235)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303610 is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mplieit. What is prob of picking 1 m, 1 l, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -11. Suppose 3*j - 8*j + 3*g = -h, 0 = 4*j + 3*g - 39. Solve p - 2 = 2*t + j*p, -5*t + 18 = p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2086.71 - 2069. Let u = -2.99 - n. Round u to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 30 = 3*j - 4*g, j - 2*g - 10 = 0. Suppose 3*y - j = 8. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 0*q**5 + 3*q**4 + 251*q**2 + 0*q**3 + 7\/120*q**6 + 0*q + 0. What is the second derivative of r(t) wrt t?\nAnswer: 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 4\/13 (c) 0.5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 44 = -19*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7*g + 11 + g - 9*g. Let c be s(9). What is the greatest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -14. Let u = 17 - y. Let g(d) = -d**3 + 7*d**2 - 4*d - 1. Determine g(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.2? (a) 0.2 (b) 1 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 1338 - 934. Calculate the remainder when 323 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (26\/8)\/(5\/20). Let x(r) = -14*r - 5 + 5 + t*r + 5. Let h(m) = m - 4. Determine -7*h(f) - 6*x(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 849.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 165739, 165787, 165833, 165877?\n\"Answer: -t**2 + 51*t + 165689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-482)\/(-8))\/(3\/(-12)) + -2. Let k be 2\/2 + (-27)\/(r\/306). Calculate the greatest common factor of 385 and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398.0967 meters in centimeters?\nAnswer: 39809.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11200111000021111 + 2?\nAnswer: 11200111000021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1469, 2935, 4385, 5813, 7213, 8579, 9905, 11185?\n\"Answer: -i**3 - 2*i**2 + 1479*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/218, -33\/5, 0.3 in ascending order.\nAnswer: -33\/5, -1\/218, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 1\/21*v**4 + 0*v**3 + 2 + 2*v + 0*v**2 + 1\/70*v**5. Let o(t) be the first derivative of s(t). Factor o(n).\nAnswer: 2*n**2*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**5\/120 - 37*f**4\/24 - 29*f**2. Let w(b) be the second derivative of o(b). Let d(p) = p + 4. What is d(s) - 3*w(s)?\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1221 and 2248917?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, -13, -20, -2, 5 in decreasing order.\nAnswer: 5, 4, -2, -7, -13, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-254)\/16 - 193\/1544?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12394 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 102036955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 737*d - 242. Let q(b) = -15*b + 5. What is -2*g(s) - 99*q(s)?\nAnswer: 11*s - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66490 is divided by 5463?\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93.3 + -93. Suppose -5*w - 29 + 6 = f, 2*w + 11 = -f. Let l be (f\/(-9))\/((-9)\/6). Do l and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-417)\/140 + (-6721)\/(-2444). Sort w, -0.2, -2, 0, 0.3.\nAnswer: -2, w, -0.2, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*j - 468*j - 7 - 6 + 26 - 12.\nAnswer: -404*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -276, -281, -296, -327, -380, -461?\n\"Answer: -x**3 + x**2 - x - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032640455 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1666 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 2*f + 2. Let i be k(3). Let a(q) = 8*q + 1. Let w be a(5). Let x = i + w. Does 22 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x. Let f(v) be the second derivative of 801*v**4\/4 + 2932*v. Determine c(f(h)).\nAnswer: -9612*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1300*m + 44717 - 35617 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1925 = -11*k + 15*k - u, k = u + 479. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -140 - 164*z + 140 - 2*z - 1 + 1 + (-2 - 1 + 5)*(0*z + 0*z + 2*z) - 10 + 5*z + 10 in the form s*z + d and give s.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5920*g - 2179*g - 356356 for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 423 and 79093668.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**4\/2 - 631*c**3\/3 - 3618*c - 1983. What is the first derivative of b(x) wrt x?\nAnswer: 6*x**2 - 1262*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16140 divided by -4035\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i - 7*i + 4*i)*(-105*i + 582*i + 789*i + 779*i).\nAnswer: 6135*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Suppose 3*v + 1 - 12 = -5*w, 0 = 2*v - 4*w. Let m(r) = 4*r**3 - 34*r + 5. Let a be m(0). Solve a*t = q*t + v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 2. Suppose 5*h + 3*d = 4*d - 24, -4*h - 36 = -5*d. Let i be a(h). Put i, -1, -5 in ascending order.\nAnswer: -5, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3701?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*x - 349*x + 6*s - 7 = 4*s + 9, -3*s = -3*x - 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + (-5*(sqrt(133) + sqrt(133) + 1*sqrt(133)) - sqrt(133)) - sqrt(133))\/sqrt(7)*-4.\nAnswer: 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 12*d**2 - 4*d - 24. Calculate y(9).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, w: 5, b: 3, p: 7}. Give prob of picking 1 b and 3 w.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51639440 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 9*j - 4*j**3 - 2*j + 84.\nAnswer: -4*j**3 - 8*j + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 957390686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1265369830?\nAnswer: 2, 5, 126536983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 10. Suppose -6*t - 44 = -2*t. Let j be a(t). Is j\/(0 - (-2)\/998) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17565660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357*a = 266*a + 443807. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 d when three letters picked without replacement from {v: 2, d: 9, o: 4, i: 4}.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 1029?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2 = -z. Let h(t) = 9*t**3 - t**2 - t + 1. Let p be h(z). Suppose -4*x + p = -16. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/36 and -99\/5008.\nAnswer: 45072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 247 and 1283438?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 117.142 + -0.142. Let f = d - 116.99949. What is f rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9240568ml?\nAnswer: 0.0009240568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12823 + 12796 + (1 - 0) + -11\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 0.3, -72, 3, 5\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + 0. Let q = -4.10434 - -0.10434. What is the third biggest value in q, 0.5, z, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2)*f)**(1\/5)*(f\/(f*f**(1\/3)))**(-3\/10))**(-15\/7) assuming f is positive.\nAnswer: f**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24.931 + 24.531. What is the nearest to -1\/4 in y, 1187, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 66*z - 8122. Determine f(123).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -18, 3\/4, 18, 53?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -22*v**3 - 30*v**2 + 868*v = 0.\nAnswer: -7, 0, 62\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*i + 2 + 3*i)*(-4 + 8 - 5).\nAnswer: -3*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1584 and 594.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1. Let t(i) be the third derivative of i**4\/8 + 5*i**3\/6 - 37*i**2. Give 10*g(m) - 2*t(m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 343*w**2 - w + 3. Let d be z(3). Let s = -1913 - d. Round s to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4227\/2 + -33907\/16. Calculate the common denominator of z and 3\/460.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/(-45)*(-2 + 4*-2). Solve 0 = 2*c - s - l - 6, 5*s - 5 = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 0)\/2 + 325. Suppose p = 5*p + r. Let y = p - -235. Round y to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 262864656032 + -262864668888.9992319. Let i = s + 12857. What is i rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -153015, -611775, -1376385, -2446851, -3823179, -5505375?\n\"Answer: -h**3 - 152919*h**2 + 4*h - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16488892 - -2703108. Round c to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(6) + sqrt(150)))\/(sqrt(48)\/sqrt(32))*-4.\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j + 5. Let t(r) = -r. Let a(m) = 5*t(m) + u(m). Let q be a(0). Which is bigger: q or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from {h: 2, s: 1, d: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2115*x + 2085*x + 20 + 17 - 46 + 9.\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puspppnn. What is prob of sequence sp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-332)\/(-48) - 7) + (-2)\/(-24)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 95*x**7\/7 - 59*x**4\/6 - x - 156. Find the third derivative of t(q) wrt q.\nAnswer: 34200*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1744, -2547, -4526, -8269, -14364, -23399, -35962, -52641?\nAnswer: -74024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 107310*v + 92*v**3 - 1248*v**3 - 107315*v in the form c*v + y + b*v**2 + a*v**3 and give a.\nAnswer: -1156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4921\/5 (b) -0.109 (c) 1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010735630975 to 4 dps.\nAnswer: 0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -45.0000127. Round a to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23 and 1.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = -10*f. Solve 2\/19*a**2 + f*a - 2\/19 = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -5*t - 7*g - 12, 5*g = -t - 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 18*k + 23. Let x be c(7). Sort -1, 5, x, 10 in ascending order.\nAnswer: x, -1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 480 = 5*o - 125, 4*o = -111*d - 835 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-486)\/(-45))\/(-3))\/(1\/(-195)). What is the greatest common factor of 78 and t?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(-910)\/5187*((-108)\/45)\/(-4)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (4\/2 - -12). Let b = a - -32. Suppose -3*g + b = 5. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 17454.26?\nAnswer: -17439.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 1058044?\nAnswer: 1058044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1.2. Let n = i - 2. Let x = -201 - -200. What is the biggest value in x, n, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 7:32 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 349.17, 0.29 in increasing order.\nAnswer: -0.3, 0.29, 349.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-45)\/10)\/(3\/(-4)). Let g(d) = 6*d**2 - d**3 + 3*d + 3*d - 2*d + 6 - d**2. What is g(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.84 + 0.14. Let y = k - -5.7. Which is the second biggest value? (a) -2 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -2, 27, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 48. Let o be r(-22). Which is smaller: o or -23?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35114 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52565 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-27))\/(245\/490)*(-700)\/6. Which is greater: o or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from {g: 2, x: 6, a: 7}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3799277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-4)*-1)\/((-6)\/12)*(-6072)\/(-920)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*sqrt(3) - sqrt(21)\/(sqrt(7) - (2*sqrt(7) + sqrt(7))).\nAnswer: -3*sqrt(3)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a - 111854 = 150655. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y**3 + 8 + 11*y**3 + 2*y**3 - 6*y**3 - 8*y - 3*y**3 + 6*y**2. Give g(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 253\/41?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3. Suppose f = -4*s - s. Suppose -2*x - x + 57 = s. Is 19 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513421 is divided by 4080?\nAnswer: 3421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 25*g**2 - 7*g - 79939. Let s(j) = -j**2. What is u(s(p))?\nAnswer: 25*p**4 + 7*p**2 - 79939","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-60)\/120)\/((-3)\/(-6)))\/(10\/(110\/319))\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-24) + 4\/(120\/4465) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.2 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121416, -121382, -121326, -121248, -121148?\nAnswer: -121026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 3*v + 80. Let o be a(-9). Suppose 0*g = 5*g - 1690. Calculate the greatest common factor of g and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-480)\/(-400)*26\/(-65)*75\/32?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2875, 22992, 77599, 183940, 359259, 620800, 985807, 1471524?\nAnswer: 2095195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s - 1. Let d(m) = 9*m + 2. Let q(x) = 3*d(x) + 7*f(x). Let h(y) = -9*y - 3. Let b(u) = -2*u + 25. Let l be b(12). What is l*h(v) - 4*q(v)?\nAnswer: -5*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 5:48 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 23 + 29 = 0. Let f(k) = -k**2 + 18*k - 8. Let m be f(j). Let s = m - 59. Which is smaller: s or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1599.1 - 1599. Let y = 18.9 + -15.9. Which is the smallest value? (a) y (b) i (c) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-716)\/(-702933)*-79541 - (-2)\/102.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1995888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrr. What is prob of picking 2 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60850 by -1.\nAnswer: -60850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3412 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((6 - (-3 + 2)) + (4 - -1)) - -18.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: (1198\/(-23361))\/(((-6)\/27)\/(1\/(-3)))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1246 greater than or equal to -1248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27.87 - 2.77. Let h = 25 - f. Let t = 6 + -5.7. Which is the smallest value? (a) 2\/19 (b) t (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - 24. Suppose -o - 2 = -0, p - b = 3*o. Solve 0 = -2*y - h - 3, -5*h - p = 3*y + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -69*i**2 - 5*i + 11. Let u be l(-3). Let v = u + 869. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**6\/90 + 7*t**5\/30 - t**4 - 3*t**3 - 44*t**2. Let f(r) be the first derivative of p(r). Find g such that f(g) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -599*t + m + 21*m = -600*t + 309 - 839, -126 = 3*t + 5*m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 6*m**2 - 2*m - 7. Let s be z(-6). Let o = 47 - 41. Let n be (-8)\/o + 40\/(-15). Which is the third biggest value? (a) 2 (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 9*g**3 - 5*g**2 - 6*g - 2. Let b(d) = 5*d**3 - 3*d**2 - 3*d - 1. Let k = -1191 + 1195. Suppose -4*m - m = 35. Let x(c) = k*p(c) + m*b(c). Give x(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*w**2 - 8*w**2 - 8 + 8.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1944) + ((sqrt(1944)*-1 - sqrt(1944)) + sqrt(1944) - sqrt(1944))) + sqrt(1944))\/(3*-4*sqrt(200)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 209.4, -86, -0.3, 57?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 2. Let g(c) = 2*c + 3. Let l be g(0). Factor l + 4*q + 2*q + y*q**2 - 12.\nAnswer: 3*(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -2) + -3 - 1. Let p be 4\/2*(-2 - -3). Let n(t) = 0 + t**3 - t**3 - t**3 - 6*t**p - 5*t - 4. Give n(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7\/(-84))\/(2\/(-8)). What is the nearest to 1 in 2\/3, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27459?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3157, -6319, -9485, -12655, -15829, -19007?\n\"Answer: -2*u**2 - 3156*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knknnn. What is prob of picking 3 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1929 is divided by 482.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -14.04*3.7\nAnswer: -51.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 788 - 356. Suppose 20*v - 29*v + t = 0. What is the greatest common factor of 36 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/14 and -4 + (-21)\/(-5) + (-403)\/40?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1783*s**2 - 275*s**2 + 3319*s**2 to the form d*s**2 + v + p*s and give d.\nAnswer: 4827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47802457.\nAnswer: 1013, 47189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22111 (base 5) to base 6.\nAnswer: 11031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1366 - 1408. Is n <= -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*p**3*w + 1262*p**3 + w + 38966 wrt p?\nAnswer: -30*p**2*w + 3786*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -222\/5*o**3 - 628\/5*o**2 + 432*o - 2\/5*o**4 + 0 = 0.\nAnswer: -108, -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 637570128 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/6 + 29*n**2\/3 - 122*n\/3 + 124\/3.\nAnswer: (n - 2)**2*(n + 62)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431202 is divided by 47893.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/4*(-98)\/735.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -38\/7 (b) 0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8 + -7)\/(1\/61) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, p: 2, i: 1, m: 1, r: 3, b: 5}. What is prob of sequence mii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15459 times -0.5?\nAnswer: -7729.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 8:19 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5 = 19. Which is bigger: l or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -3 + 0*w + 0*w**2 + 3\/2*w**4 - w**3 - 3\/5*w**5. Solve v(q) = 0 for q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2522 + -300?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10608 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2354 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/49 - 6643\/441) + 10\/(-45)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101000001111101000 - 10?\nAnswer: -10101000001111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 9:53 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2043214 (base 5) to base 2\nAnswer: 1000010110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7467619 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/531 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - aa?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -167 + 170. Let m(s) = 16*s - 18. Is 10 a factor of m(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 3. Let s be (0\/q)\/(1\/1). Suppose w - 5*r = 36, s*r + 2*r = 4*w - 90. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 16*z**2 + 16*z - 10. Let d be v(15). Suppose 0 = -x + 2*b + 27, 2*x - x - 28 = 3*b. Calculate the highest common divisor of x and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 1512 + 3658 = -2084. Calculate the least common multiple of k and 126.\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -27517\nAnswer: -82551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 + 86 - (115 + -9 + -27)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/3)\/((-7)\/(-1239)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 5*y**2 + y - 6. Let x be f(5). Suppose -i - 18 = -4*i. Let r be ((-10)\/i)\/(2\/6). Sort 0, x, r in decreasing order.\nAnswer: 0, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -766589312*b**3 + 2*b**2 - 60105680*b - 1?\nAnswer: -4599535872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9086567 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(175) - -1*sqrt(175)) + 4*(sqrt(175) + -2))**2*6*-4*-3.\nAnswer: 11520*sqrt(7) + 55008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129685800 by 3310.\nAnswer: -39180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*o**2 + 325 + 316 + 319 - 1286 + 326.\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 313052 to the power of 1\/2, to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2. Let r(g) = 67844*g. What is m(r(p))?\nAnswer: 18411233344*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - 2*n - 11*n**3 + n**3 + 1 + 3 - 3 + n + n - n - n**3 + (0*n + 0*n + 2*n**3)*(0 + 3 - 1).\nAnswer: -7*n**3 + n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 3:27 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -104) + -21 - (18 + 11 + -13).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = y - 5*s + 2, -y = s - 2. Suppose 0 = -y*r + 4*l - 13, r + 4*l + 2 = -r. Put -2, 1, r in descending order.\nAnswer: 1, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 5*f + 2. Suppose -55 = 4*o + 4*m - 183, 2*o = -3*m + 66. Suppose 8*y - o = 3*y. What is i(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**2 + 154*r - 25. Let b(t) = -9*t. Determine b(d(o)).\nAnswer: 27*o**2 - 1386*o + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -1048?\nAnswer: 11\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1513, 5954, 13349, 23692, 36977, 53198, 72349, 94424?\nAnswer: 119417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g + 9. Let q be 54\/13 + 24\/(-156). Let t(w) = -6*w - 10. Determine q*t(d) + 5*o(d).\nAnswer: d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.97 + 15. Let o = j + -0.23. Do -0.3 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/((-442)\/65))\/((-5)\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfhz when four letters picked without replacement from {c: 2, z: 3, h: 2, b: 4, f: 8}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4278 - -1b7?\nAnswer: -40b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**2. Let y(f) = -41 + 41 + 2*f**2. Give y(z(a)).\nAnswer: 50*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 6:40 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 7:40 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b - 407?\nAnswer: -3c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 k when three letters picked without replacement from ksjjki?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - 619*b**2 + 4*b - 1012*b**2.\nAnswer: -1631*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 - a + 2. Let g be h(-3). Let u = -3 - g. Suppose 2*q + 0*q - u = -2*b, 5*b = -2*q + 16. Solve b*s + 15 = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(57)\/(sqrt(27)\/(-6*sqrt(9))).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 22728.48 to the nearest 100.\nAnswer: 22700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**28)*x**(-38)\/x)\/(x**(-23)*x*x**38*x) assuming x is positive.\nAnswer: x**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 1096*p - 1092*p - 114, -2*p = 5*x + 138 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1042 >= -1043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*c**5 + 49*c**5 - 4*c**5 + (-2*c**5 - 4*c + 4*c)*(0 - 2 + 3).\nAnswer: 35*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 70, -50, 4, 11, -20 in decreasing order.\nAnswer: 70, 11, 4, 1, -20, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -890*u**3 - u + u + 190*u**3.\nAnswer: -700*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/2, -3, 0.4, -0.066?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 1872.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 335 + 57?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1661793980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -20, -39, -72, -125, -204, -315?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*sqrt(117))**2.\nAnswer: -5616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.01, 666, -4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 46, 71, 96?\n\"Answer: 25*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 + 78. Suppose 0 = -4*m - 5*d - 13, -3*m + p = 2*m - 3*d. Suppose -5*u + 4*f + 4 + 30 = 0, 2*u + m*f = 32. 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 highest common divisor of 430437 and 4220193?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 333440?\nAnswer: -333434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-36)*-9 + -6. Let x = -12 + 22. Let a = -8 + x. Sort y, a, 4 in increasing order.\nAnswer: y, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11*r - 14. Give k(-4).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*j**4 + 3025*j**3 + j**2 + 5*j + 9540?\nAnswer: 456*j + 18150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -350937, 11, 0.2 in increasing order.\nAnswer: -350937, 0.2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 10*h - 9*h - 11, -2*z = -4*h - 52. Solve 3*p = z - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 13. Suppose -136 = -4*c + w, 3*w - 9 = 3. Let k = -25 + c. Solve 5*s + 10 = -5*d - k, -5*d - i = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*n, -n = -2*y + 92 + 217. What is the common denominator of 267\/(-24)*-1 + 1 and ((-5)\/15)\/(16\/y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 5*y - 8. Let q = 40 + -34. Let v be r(q). Suppose -2*t = -4*t - 6. Sort -14, v, t in descending order.\nAnswer: v, t, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 5*f + 7. Let j(u) = -u**2 + 10*u + 15. Let y(p) = 2*j(p) - 5*r(p). Let m be (-20)\/8*24\/(-20). Does 7 divide y(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -2, -28, 13708\/9, 3\/5, 0 in increasing order.\nAnswer: -28, -2, 0, 3\/5, 13708\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 10*x + 6. Let c be w(10). Let z = 166 + -161. Suppose -c*l + 5*l + z = 0. Calculate the remainder when 18 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 + 7?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 9*w**5\/2 - 250*w**4 - 6371*w**3\/2 + 49599*w**2 - 88664*w + 42496 = 0?\nAnswer: -166\/9, 1, 8, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*(255\/10 + -22)*(0 - (-12)\/30).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -2001020222200012?\nAnswer: 2001020222200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 4*b + 3*t, 4*b - t - 2*t = -1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**2 - 4*s + 1. Calculate m(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**2 + 11730*n - 5*n**2 - 125 - 11729*n + 13*n**2 wrt n?\nAnswer: 14*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1228\/27715 + 1\/1205. Which is the third biggest value? (a) -2 (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**2*w)**(6\/17)*((w*w**(1\/2))\/w)**(-2\/125))**(2\/15) assuming w is positive.\nAnswer: w**(5966\/31875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/84 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/94 and 37\/14.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g = 0. Let b(j) be the third derivative of -j**6\/120 - j**4\/24 + 17*j**3\/3 - j**2. What is the remainder when b(g) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10046 divided by -2?\nAnswer: 5023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 248132627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -2 - (3 - (-2 + 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 303728 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/36 and 89\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c9 - -19a88d?\nAnswer: 19a7a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 12:10 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 353140303 divided by -276539?\nAnswer: -1277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 7*c - 2 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 2*q + 0*q - 33 = 3*o, 133*q - 8349 + 569 = 5*o - 386*q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 2)*-6 - -2. Let f(a) = -14*a - 2. Suppose -c - 6 = c. Let t be f(c). What is the highest common factor of b and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, -37, -122, -281, -538, -917, -1442, -2137?\n\"Answer: -4*f**3 - f**2 - 4*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.57 * 0.3.\nAnswer: 0.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 473616 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389822797 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**4 + 3846006*b**3 - 11538036*b**2 + 11538042*b - 3846015 = 0.\nAnswer: -1282005, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2357 + -492. Is o 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 84026?\nAnswer: 2, 42013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-110)\/44)\/(1\/(-2)). Suppose -2*h = -b*h + 6. Suppose 3*x = -h*u + 33, -x - 30 = -5*u + 2*x. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*(-20 - -11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/840)\/(2\/(-5))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1285*b**2*s*w**3 - 2*b**2 - 7*b*s*w**3 - 2*b*s*w + 2*b*w**3 - 98*b*w wrt b.\nAnswer: 2570*s*w**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482 is divided by 226.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-144)\/70 - -2)*5. Let x = -4 - -3.99. Let d = x + 2.01. What is the nearest to b in 3, -2\/7, d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 14*k**5 + 55*k**3 - 14*k**2 + 271. Let x(w) = 8*w**5 + 28*w**3 - 8*w**2 + 134. Let c(v) = 3*q(v) - 5*x(v). Find the third derivative of c(p) wrt p.\nAnswer: 120*p**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 12 = 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 12*r**2 - 10*r + 10. Determine p(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**6\/24 - g**3\/6 - 28*g**2 + 2*g. Calculate u(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238444111 to the power of 1\/2, to the nearest integer?\nAnswer: 15442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 12:19 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**4\/7 - 156000*z**3\/7 + 2025346266*z**2\/7 + 68997084000*z\/7 + 586858678563\/7 = 0. Calculate z.\nAnswer: -17, 26017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 416640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2871607 - 153521?\nAnswer: -3025128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10595244 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**3 + 5772*c**2 - 344396*c + 2634948 = 0 for c.\nAnswer: 9, 53, 1381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b**3 - b**2 + 2*b - 1. Let z = -7 - -10. Suppose g - 4 = -z*g. What is v(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate u**4 - 363*u**2 - 114*u + 52536 with respect to u.\nAnswer: 4*u**3 - 726*u - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -8. Let d(k) = -2*k - r + 3. Let s(y) = -28 + 2*y + 28. Calculate d(s(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**5\/60 - a**4\/3 - 4*a**3\/3 + 9*a**2. Suppose 0*u = -u + 10. Is 8 a factor of m(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 1, -8 in ascending order.\nAnswer: -8, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - l + 1. Let j(v) = 12*v**2 + 8*v - 8. Let p = -94 - -91. Let g be p*6\/54*(-1 + 4). Give g*j(y) - 8*f(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*x + 1697 = 5285. Solve 2*d - x + 52 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34823.\nAnswer: 97, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*y - 66 = 830 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*d + 4672 = -22458, 0 = -n + 3*d + 5415. What is the highest common divisor of n and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1125 is divided by 38.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 0*r**2 - 2*r**2 - 2 + 12*r + r**2. What is the tens digit of a(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.241389cm in meters?\nAnswer: 0.05241389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131904325 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2017 - -1975. Which is the smallest value? (a) t (b) -4 (c) 2\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -13, 6, 43, 104, 195, 322?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 351056470 to the power of 1\/2, to the nearest integer?\nAnswer: 18737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 39429*l**3 + 19707*l**3 + 19721*l**3.\nAnswer: -l**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1173662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 11:44 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9872 * -2.\nAnswer: -19744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -346270205?\nAnswer: 346270206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3438 is divided by 64.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 26*l - 26. Let m be w(-14). Solve 3*k + 15 = -m*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -78*t*y - 91687182*t + 310532*y wrt y.\nAnswer: -78*t + 310532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(20 - 20 + 6*z)*(5 - 10 + 7).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 100999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s**2 + 60*s**2 - 14*s**2 - 17*s**2 - 8*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptp when three letters picked without replacement from {t: 1, p: 5, f: 3, e: 3, q: 1}.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**18\/a))\/a)\/(a*(a*a*a\/a**(-12))\/a*a))**(-46) assuming a is positive.\nAnswer: a**1518","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -753239, -6025666, -20336539, -48205082, -94150519, -162692074?\nAnswer: -258348971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/11780 and 43\/434.\nAnswer: 82460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 115310306 to the power of 1\/2, to the nearest integer?\nAnswer: 10738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(5\/2)\/u)\/(u*u**5)*u\/u**(-2\/25)*u*u**(-4\/3))**(-14))**(2\/13) assuming u is positive.\nAnswer: u**(7882\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j\/(j**(-1\/2)\/j)))*j)**43\/(j*j**0)**(1\/4) assuming j is positive.\nAnswer: j**(773\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 1036?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5592 and 456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -1040396d?\nAnswer: -10403968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 2\/15, -2\/5, -0.5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**8\/1344 + 5*w**7\/504 - 7*w**6\/144 + w**5\/8 + w**4\/6 + 17*w. Let r(j) be the third derivative of s(j). Factor r(v).\nAnswer: -5*(v - 3)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t + 121. Let g be o(30). Does 27 divide ((-3250)\/4 - g\/(-2))\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.217247 from -12.0536.\nAnswer: -8.836353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2112301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**2 + 164110*v - 18480585 = 0.\nAnswer: 113, 32709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) 6 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -14*x**3 + 3. Let z(p) = 70*p**3 - 14. What is 14*a(u) + 3*z(u)?\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s + 18*s - 13*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.5, -21, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j + 5. Let c(y) = 10*y - 8. Let s(t) = 5*c(t) + 7*v(t). Let q(i) be the third derivative of -i**4\/12 + 3*i**3\/2 + i**2. Give -3*q(g) - 5*s(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 2:06 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 2 + 10385*w**3 - 9 + 5831*w**3.\nAnswer: 16216*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 22697400 to the nearest one hundred thousand.\nAnswer: 22700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + x**2 + 3*x)*(-4 + 2 + 0) - 2*x**2 + 2*x**2 - 3*x**2 + 3*x - 3*x - x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**4 - q**2 - 2*q - 1. Let g(y) = -139*y**6 + 11*y**4 - 119*y**2 + 22*y + 11. Let l(f) = -4*g(f) - 44*i(f). Find the third derivative of l(k) wrt k.\nAnswer: 66720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 970, 1307, 1654, 2017, 2402, 2815, 3262, 3749?\n\"Answer: n**3 - n**2 + 333*n + 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8792372?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 8 + (8 - 24) - -11 - -80.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-10)*1*-10. Suppose d - 5*v + 6 = 0, -4*d + d + 5*v = -2. Suppose -40 - c = -d*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 - 62) + 10 + 2 + 0 + -1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2. Let v(i) = -643674*i. Give v(q(x)).\nAnswer: -643674*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.024 * 7688.\nAnswer: -184.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8 = 3*z. Let r(t) = t**z - 3*t**2 + t**2. Let w(g) = -g**2. Determine w(r(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 188242 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1)*u)**19)**(9\/2) assuming u is positive.\nAnswer: u**(171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.72 + -0.28?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93016)\/(-1208)*(-30)\/(-33)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 12 - 25 + 25 + 2*a - 3*a + 2*a + (-4 + 2 + 3)*(3*a - a - a))*(2*a**2 + 3*a**2 - a**2).\nAnswer: -12*a**3 + 48*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uig when three letters picked without replacement from iugvv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzk when three letters picked without replacement from {z: 16, k: 2}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 220853010 divided by -105?\nAnswer: -2103362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*n + 5. List the prime factors of ((-2)\/(-4))\/(1\/n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0178544 to 4 dps.\nAnswer: 0.0179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 141529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*p = 307*p - 80 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.41 + 0.11. Let t = -0.52 + f. Round t to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 2*b + b)*(-13504 + 13504 + 1233*b) - 3*b**2 - 1 + 0*b**2 + 4*b**2.\nAnswer: -2465*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.6739 or 1.5458?\nAnswer: 0.6739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8*r + 72. Let t be o(9). Let u = t + -146. Which is the fourth biggest value? (a) -5 (b) u (c) 3 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 194*l**2 - 51*l**2 + 194*l**2 in the form s*l + k + t*l**2 and give t.\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 79 - 87 - (4 - (-4 - (4 + -5))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 487238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30008?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -17 + (-47 - (-102 - -58)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 149*h**2 + 47*h**2 + 0 + 85*h**2.\nAnswer: 281*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**3 + 5*w**3 + 2*w**3 + (w - 2*w - w)*(-31*w**2 + 454 - 454) + 3*w**3 - 5*w**3 + 0*w**3 - 20*w**3 + 4*w - 4*w)*(2*w + 1 - 1).\nAnswer: 84*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.42 + -1118231559.\nAnswer: -1118231547.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 75943.25 decades?\nAnswer: 7594.325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 640736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 3*f + 2. Let u be o(2). Suppose u*p - 4*p = q - 19, 0 = -2*q - 3*p + 18. Solve -5*j = 5, 0*b - 2*b - 9 = q*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 11, -0.2, 2\/5 in descending order.\nAnswer: 11, 2\/5, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*w - w + 41 = 0, 2*x + 5*w + 43 = 0. Let b = x - -20. Suppose -f - 50 = -b*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 171430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wws when three letters picked without replacement from wslsllzszzzfwyzfzs?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6173, 2, -49 in ascending order.\nAnswer: -49, 0.6173, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8))**5\/(((q\/q**7)\/q*q)\/q**(-1\/17)) assuming q is positive.\nAnswer: q**(-579\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4472 (base 10) to base 2.\nAnswer: -1000101111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 765 divided by -765\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -2\/5 (c) -1\/12 (d) 0.3 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/3)\/(29\/1044*-48).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/(j*j**(-2\/27))))*j**(-1\/13))\/((j*j\/(j**(-11)*j)*j)\/j**(-2\/17)) assuming j is positive.\nAnswer: j**(-78290\/5967)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 294\/13, -6, -5, 1\/4, 21?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/88 + -1\/22. Sort -0.5, i, 3\/10 in descending order.\nAnswer: 3\/10, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*t**2 + 0*t - t - 1796*t**2 + t.\nAnswer: -2021*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -20?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 + 39*w - 33. List the prime factors of y(16).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((1 + 0)\/1). Let i be 1 + (-4)\/6*3. Let w = b - i. Solve 2*s = s + 3*h - 5, -8 = w*s - 4*h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 506523 - 50?\nAnswer: 506463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -12*l - 88 - 15*l + 20*l - 77 + 39. Determine m(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 4:31 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/676 and -75\/38896.\nAnswer: 505648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**6\/24 - 83*m**5\/2 - 34445*m**4\/2 - 11435740*m**3\/3 - 1255*m**2. Factor w(z).\nAnswer: -5*(z + 166)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8*p**5 + 3*p**4 - 6*p**3 - 5*p**2 - 4*p. Let z(y) = y**5 + y**4 + y**2 + y. Let x(s) = -3*j(s) - 15*z(s). Find d such that x(d) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -s - 0*s - 42, 5*s + 3 = 2*l. Let y = -6 - l. Let p = y - -25. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 10*h - 6*h. Let i = -8 + h. Solve 0*p - 8 = -i*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 6. Suppose -14 = -3*b + 3*f + 4, 0 = -a*b - 4*f + 3. What is the second derivative of -b*s + 2*s + 3*s**5 - 4*s**5 wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 27 - 4 = 5*i. Solve 5 = 2*u + 4*s + 19, 15 = -i*s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -341 divided by 1?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4627 and 4798860.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 429 and 1001.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -1243?\nAnswer: -1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 + 58 = -6*j. Suppose -6*b + 32 + j = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, -1\/2, -2\/3, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 100023213111?\nAnswer: -100023213112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 929032 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3817718 times 8\nAnswer: -30541744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 898*v**2 - 3447*v**2 + 2573*v**2.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by 1?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from xkwjqjp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1317*k**2 - 100*k - 1. Give c(1).\nAnswer: -1418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.8217.\nAnswer: -4.1085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*k - 182*k - 434 - 2856 = -72*k for k.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0639*0.61.\nAnswer: 0.038979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87 + 87 + 12*a)*(-a - 4 + 4).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14086887 and 3807?\nAnswer: 380345949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + t + 2*t)*(-10*t + 7*t + 4 - 6) - 11*t**2 - 7*t**2 + 12*t**2.\nAnswer: -15*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1777937 is divided by 563?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 1:15 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1604 + 1684. Calculate the remainder when h is divided by 77.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -222 - -2?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 53*q**3 - 15 + 9 + 2 - 2*q**4 as r*q**3 + b*q**4 + x*q + u + v*q**2 and give r.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20251719.\nAnswer: 3, 1051, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1.02. Let i = -3.02 - o. Let k be (-14)\/(-4)*(-60)\/(-35). Put i, -5, k in descending order.\nAnswer: k, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/((-3647)\/(-2605))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4365441928?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1178 = -2*i + u + 36016, 3*i = 5*u + 55798. What is the thousands digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (124\/(-3))\/((-506)\/(-207)). Let t = -1346\/77 - q. Which is the closest to 23? (a) t (b) 2\/9 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20014 = v + 5*c, -9*c + 20014 = v - 8*c. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 37752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.16 (b) -3288 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 9. Suppose 3*m - t = 3. Suppose m*i = 17 + 3. Solve 3*g = -i + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 + p. Suppose 0*q = q + 2*q. Let s be g(q). Suppose 3*r - 5*o = 26, 0 = 5*r - 3*r - o - 8. Solve 0 = n - 0*z + r*z, n - 3*z = s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -30*k**2. Let w(b) = 14*b. Give i(w(f)).\nAnswer: -5880*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-1)*((-16)\/40)\/(14\/(-35))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15409 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 q = -235 + 167. Let v = q - -66. Put -3, 1, v in decreasing order.\nAnswer: 1, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i**4 + 0*i**4 - 3*i**4 + (2*i**3 + 0*i + 0*i)*(-5*i + 2*i + 4*i) + 2*i**4 + i**4 + 0*i**4 in the form o*i**3 + v*i**4 + w*i + c + g*i**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-95)\/(-209)*(-3)\/((-15)\/(-2)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13122?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -39 (b) -0.4 (c) -2\/75 (d) -3\/4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 965 = 5*n, 0 = -5*n + 7*n - 3*d - 365. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/((-20)\/48) - 0. Solve 2*b + b + k = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119 - -120. Suppose 0 = 149*n - 139*n - 250. Calculate the least common multiple of n and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 - 72. Is -2 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -3\/4, -1, -27, -3, -0.0547, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 165*t - 88*t + 150*t - 4*t - 2*t + 4*t + (-4 + 1 + 5)*(-2 - t + 2) + 2*t - 4*t + 4*t - 2*t + t - t + 2*t + 0*t - 3*t to i*t + c and give i.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**6\/360 - 197*s**5\/90 - 13195*s**4\/24 - 8450*s**3 + 2831*s**2. Let d(l) = 0. What is l?\nAnswer: -195, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**11\/g)\/g)**(6\/7)*g*g**39*g*g**(-25)*g assuming g is positive.\nAnswer: g**(173\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1274 - -1811. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/29, 3, 1241, -1\/508?\nAnswer: 1241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/9 of a week in minutes?\nAnswer: 19040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/28?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479714 is divided by 6396?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.748435 to two decimal places.\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - 2*k**3 + 2 - 11*k + k to n*k**3 + j*k**2 + i*k + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 750.7958km in millimeters?\nAnswer: 750795800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 1.15.\nAnswer: 17.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by -320517.\nAnswer: -14\/106839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1327, 2819, 4485, 6325, 8339?\n\"Answer: 87*g**2 + 1231*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 3*p - 7*p, 0 = 4*q - 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) 4\/17 (c) 357 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y + 35*y**2 - 3 + 4*y + 0*y - 4*y. Let m be b(-1). Solve -z = 3*x - 0*x - 20, 2*x + 5*z = m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110010111101111101 (base 2) to base 6.\nAnswer: -52322353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2\/3 + 790*g\/3 + 12040\/3.\nAnswer: -5*(g - 172)*(g + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 173 + -162. Let f be b\/44*(-6 - -14). Factor 2 + 4\/3*j + 2\/9*j**f.\nAnswer: 2*(j + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (-1 - 2 - -1). Let p(b) = -b**2 + 6*b + 2. Let h be p(i). Find the first derivative of -h*d**4 + 6*d**3 - 1 - 6*d**3 wrt d.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1990)\/8)\/((-38)\/(-6) + -6). Let j = 763 + w. Find the common denominator of 16\/72 - (-4102)\/(-720) - -4 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/29 in -5, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/6)\/(x**2*x) assuming x is positive.\nAnswer: x**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - c = -0*c + 3, 3*m = c - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 - h**2 - 8*h**3 + h**3 + 34 - 2*h**2 - 34 + (-11*h**3 + 39*h**2 - 39*h**2)*(-1 - 2 + 2).\nAnswer: 4*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 327 and 3.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5440*v**2. Let r(p) = 31*p. Determine y(r(m)).\nAnswer: -5227840*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -2. Calculate the greatest common factor of 32 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 318*z + 33698. What is q(-110)?\nAnswer: -1282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 95190.05419.\nAnswer: 95190.25419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-7) - (-30162)\/70)*5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**6\/24 + 3*n**5\/40 + n**4\/4 + 3*n**3 - 6*n. Let m(f) be the second derivative of r(f). Let m(t) = 0. Calculate t.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 10*x**2 + 175*x + 500.\nAnswer: -(x - 20)*(x + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - (4 + -2 - 1). Let r(y) = 1 + y**2 - g*y + y + 1 + 0*y. Calculate r(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*n - 15*n**4 + 8*n**4 + 4*n**4 wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6076329*a**2*s**3 - 20*a**2*s**2 - 4*a**2 + a*s**3 + 47975*a - 11*s**3 wrt s.\nAnswer: 36457974*a**2 + 6*a - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*u - 1)*(u**2 + u**2 - u**2)*(6*u - 10*u - 2*u) as v*u**2 + w*u + g + j*u**3 + p*u**4 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -43. Let q = 16 - h. Let b = -254 - -270. Calculate the remainder when b is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 + 19302*o**3 - 4397328*o**2 + 253484128*o.\nAnswer: -2*o*(o - 9419)*(o - 116)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 330530, 658398, 986268, 1314140, 1642014?\n\"Answer: w**2 + 327865*w + 2664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, -64, -304, -794, -1618, -2860?\n\"Answer: -14*d**3 + d**2 + 21*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2018 - -5092. Does 42 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 4*d - 20 = -t, -4*t = 4*d - 32 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.2653.\nAnswer: -0.2653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1442*b**2 - 160 - 62*b**2 + 33 - 122 - 1064 wrt b?\nAnswer: 2760*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252810 is divided by 714?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50137 + 75393. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1134\/2457)\/((-42)\/(-260)))\/((-6)\/(-9)*3)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 0 - 34. Let q = -28 - l. Suppose 4*h - q*h + 40 = 0. Calculate the highest common factor of h and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 34*v**2 + 45*v + 75. Calculate f(-35).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 1 + 2\/3*d**3 - d**4 + 0*d + 0*d**2. Find the third derivative of m(k) wrt k.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(25)\/sqrt(5) + (sqrt(15) + sqrt(45)\/sqrt(3))\/sqrt(3).\nAnswer: 1 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 4852355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 4 - 5 + 0*s**4 - 2*s - 2*s**4 + 2*s**2 in the form z*s**3 + y*s + l*s**2 + n*s**4 + i and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1132, -2261, -3454, -4741, -6152, -7717, -9466, -11429?\nAnswer: -13636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 2047*d**2 - 60*d + 102. Let w be p(-10). Round w to the nearest 1000.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -23, -0.3 in ascending order.\nAnswer: -23, -3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (106\/4)\/((-4)\/(-8)). Suppose -3*i + 2*o + 59 = 0, -2*o - m = -3*i + 3*o. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -178 - -7?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2921 + -2894. What is the smallest common multiple of 54 and n?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -12416, -565 in descending order.\nAnswer: 4, -565, -12416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6197.01 hours in milliseconds?\nAnswer: 22309236000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + q**2 - 2*q. Let u be h(4). Suppose 5*n - 33 = -c, 7*c + 5*n - u = 3*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -351, -265, -179, -93, -7?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*(s\/s**(-20)*s)\/s*s*s*s*(s*s**(-2\/11))\/s)**37)**(-28) assuming s is positive.\nAnswer: s**(-294224\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-10))\/(-6*77\/88)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -13*d**2 - 83*d - 11. What is n(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 18 = -o, -2*g + 9 - 3 = -4*o. Suppose -2*k - 3*j - 16 = -6, -4 = 4*k - 2*j. Let h be (-3 + 4)*(-2 + k). Put o, h, -2 in decreasing order.\nAnswer: -2, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 1. Let u(k) = -2 + 2*k - 2*k**2 + 3 + k**l + 4*k**2. Let x(f) = f**3 - 2*f**2 - 8*f - 2. Let r be x(4). Calculate u(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9669.869 millilitres?\nAnswer: 9.669869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 22*g**3 - g**2 + g - 1. Let f = -78 - -79. Give x(f).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -176\/691611?\nAnswer: -176\/691611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(5 - 4 + 0)*(152 - 80 + 126)*(4 - 4 + 5*r)*(4*r - r - r).\nAnswer: 1980*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -210434718*l**2*o**2 + 5*l**2*o + 974*l**2 - 2*l*o + o - 1560 wrt o.\nAnswer: -420869436*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 2*v**2 + 3*v**2 + (-2*v + v - v)*(2 - v - 2) + 6*v**2 + 546*v**2 - 288*v**2)*(3*v**3 - v**3 - 1 - 3*v**3).\nAnswer: -269*v**5 - 269*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 62013789 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1243397 and -0.5.\nAnswer: 0.06216985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b**3 + 2*b)*(-25*b**2 - 233*b + 233*b) - 2*b**5 + 2*b**5 - 5*b**5 + (4 - 4 - b**4)*(-b - 1 + 1) - b**5 - 4*b**5 + 3*b**5.\nAnswer: -56*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 643980.\nAnswer: 1287960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 839.1256ng?\nAnswer: 0.8391256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 73, -1\/13, -3, -0.7, -2\/15?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15216\/(38\/40 - (-18)\/(-90)). Is 1 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8273 is divided by 84.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/(-5) + (-2860)\/25)\/(-2).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -20\/97 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 75239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3*d + 5 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23231978?\nAnswer: 2, 7, 11, 23, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -25*k**5 + 235*k**4 + 32345*k**3 - 574875*k**2 + 179280*k + 786240 = 0?\nAnswer: -39, -1, 7\/5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (9 - (-4 - (-4 - 7)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 9:57 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2. Let v(c) = -5*c + 2*c - 305*c**2 + 3*c + 404*c**2. Calculate s(v(q)).\nAnswer: 9801*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-21)\/126 + (-12235)\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*h = -135, -4*f + 0*h - 2*h - 110 = 0. What is the units digit of ((-170)\/(-25))\/((-2)\/f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 7*p**5\/4 - p**4\/6 + p**2\/2 + 656*p. Calculate f(-1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8*(g\/(g*g*g**(-2\/23)))\/g*g**1\/g**(-2))\/((g*g**(-1)\/g)**(-49)*(g**0*g)**34) assuming g is positive.\nAnswer: g**(-1700\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1637 (b) -2 (c) -2\/3 (d) 1 (e) 7\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/32*3*2\/(-3). Which is the closest to 3? (a) -0.2 (b) 1\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 363 + -299. Suppose 0 = -u - n - 27. Is 1 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -201\/5*o - 51\/5*o**3 + 171\/5*o**2 + 3\/5*o**4 + 78\/5 = 0.\nAnswer: 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2714 and 40.\nAnswer: 54280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -2*y**3\/3 + 316. Let u(x) = 5*x + 29. Give u(t(j)).\nAnswer: -10*j**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -2\/21, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -12*l + 7*l + 2*l - 5*u, -4*l = -2*u + 110 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 19827667\nAnswer: -1\/19827667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-210)\/(-972))\/(1300\/7020).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 78*l - 1949. Let i be m(25). Which is the closest to 2\/5? (a) 1\/5 (b) -21 (c) i (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 139*u**2 - 3853*u + 1615. Determine a(101).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*z**(-3\/2))**(-35) assuming z is positive.\nAnswer: z**(245\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7348 = 4*z - 0*z. Let t = z - -29357\/16. What is the common denominator of t and 19\/5?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v + 6. Let u be b(2). Let z = u + 4. Find the second derivative of 62*h - 8*h**2 - 10*h**z - 54*h wrt h.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -362423 and -1812121\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y + 20. Let j(c) = c + 7. Let k(v) = 8*j(v) - 3*n(v). Let a be k(3). Let 78 - r**2 + 0*r**2 + a*r - 79 = 0. Calculate r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n - 7*n - 2*n)*((-n - 2*n + 2*n)*(-4*n + n + 0*n) - n**2 - 3*n + 3*n) as r + l*n + v*n**3 + d*n**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -601\/10 + 968\/15. Calculate the common denominator of o and 12\/7.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-9))\/((-48)\/(-216)). Let h(t) = 1. Let p(q) be the first derivative of 1 - 2*q + 1\/2*q**2. Calculate v*h(n) - p(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - ((-12)\/2)\/(-2). Let s be p\/(-3) + (-2)\/(-6). Let x be 0\/(-2) + (-2)\/9. Which is smaller: s or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 0 - g**2 + 0*g**4 + 0*g**3 + 0*g**5 + 3*g - 1\/15*g**6. Find the first derivative of j(b) wrt b.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 0)*(0 - 3*d + 0)*(2 - 5 + 1)*(5 + 2*d - 5).\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -0.4, -41?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13038 and 37407453?\nAnswer: 3067411146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 11:55 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -0.04262?\nAnswer: 3.95738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 3*n + n)*(-4 - 4 + 0)*(n + n + 2*n).\nAnswer: -128*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17, -26, -45, -74, -113, -162?\n\"Answer: -5*z**2 + 6*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -12, -1, 117.\nAnswer: -12, -5, -1, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g + 9. Let m be r(-2). Suppose 14*b - m*b = 145. Let u = 254 + b. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*u - 233, -649 = 3*l - 3*u - 2*u. Is l greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2 = -4*w, 0 = -3*o + w + 13 + 10. Suppose o*b - 2*b + 24 = 0. Suppose -4*g + g - 20 = -u, 5*g = 5*u - 40. Is g <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2631913616?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 1\/(-6)*69?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 815511957*i**3*o*s**3*t**2 - 1266*i**3*o*s**2 + 66*i**3 - 155*o*s**2 - 2*s**2*t**2 wrt s?\nAnswer: 4893071742*i**3*o*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62046375*h**3 + 738838*h - 74?\nAnswer: 372278250*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4\/17 + 162*q**3\/17 - 22986*q**2\/17 - 1378162*q\/17 - 1355016\/17 = 0 for q.\nAnswer: -129, -52, -1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*r - 4*v, 229*v = -2*r + 227*v + 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a kilogram in grams?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 3*l**2 + l + 1. Suppose 2*j + 32 = 4*z, -5*z - 5*j = -4*j - 26. Suppose -2*a - 2 = -z. Calculate i(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k - 19. Let z be h(7). Suppose -z*t - 2*t + 8 = 0. Suppose -54 = -t*f - 4*u, 0*f - 3*u = 2*f - 52. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 0 (c) -20505293\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a century in months?\nAnswer: 3450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5 - 5*a - 11*a**3 + 3*a - 3*a + 11*a**3 - 4*a**2 + a**3. Give s(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 6. Let v(r) = 3*r - 4. Let g be v(3). What is f(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13270307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 825? (a) 0.084 (b) -2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.6+-15105842\nAnswer: -15105842.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 558 = -w - 584, 6*m = 144 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h. Let d be i(4). Let y = 71 - d. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -0.04 (c) 1\/2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20170213, 40340426, 60510639, 80680852?\nAnswer: 100851065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Let c(x) = x**2 + x - 1. Let p(t) = 8*t**2 + 6*t - 6. Let j be 60*((-18)\/(-12) - 1). Let u(a) = j*c(a) - 5*p(a). Determine m(u(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*d - 5697774 = -1779145. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 446, 893, 1340, 1787, 2234, 2681?\n\"Answer: 447*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l + 760 = -26*l. Does 19 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 18. Suppose -k = 3*g - 2, -2*i = g - 5. Suppose -2*o + 10 = 5*p - 6, -5*o = -i*p - 9. Which is the smallest value? (a) 0.4 (b) -1\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**5\/75 - j**4\/120 - 74*j**2. Solve n(q) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2007040 a multiple of 980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 15*v. Let w(i) be the second derivative of -i**3\/6 + 35*i + 3. Give w(g(l)).\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 1. Let z(h) be the second derivative of -h**5\/5 - 3*h**2\/2 - 544*h. Calculate -4*o(n) + 2*z(n).\nAnswer: -4*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1986473ml?\nAnswer: 0.0001986473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millennium in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -155954, -311520, -467086, -622652, -778218, -933784?\n\"Answer: -155566*k - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 2543009096 and 0.2.\nAnswer: 2543009096.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(2\/3)*v))\/(v\/v**(-6)))\/(((v*v**20)\/v)\/v**(-20)) assuming v is positive.\nAnswer: v**(-146\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 62*f = 48. Let y(l) = 2*l**3 - 3*l**2 + 47*l - 46. Let g be y(f). Factor 2\/9*z**2 + g*z - 2\/9.\nAnswer: 2*(z - 1)*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20567 and 571075.3029?\nAnswer: 550508.3029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + -35 - -61 - (1 + -2 + 19)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g - 1105 = -3*v, -5*v = 3*g - 1785. Suppose -22*w = 163 - 1043. Calculate the greatest common factor of w and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-8) + (-48)\/64. Suppose -z = -w*o + 3*o - 97, -2*z = 4. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-16 + 3 - -10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/((t\/(t**2\/t*t))\/t))\/(t*t**5\/t))\/((t\/((t**(-1\/4)\/t)\/t))\/t)**38*((t*t**(-7)\/t*t*t*t)\/(t\/(t\/(t**(2\/23)\/t))))**47 assuming t is positive.\nAnswer: t**(-10653\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4054 (base 13) to base 2\nAnswer: 10001010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccnccccccn. Give prob of sequence cn.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3635 + 3639. Which is the smallest value? (a) 4\/3 (b) 11 (c) 0.4 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in -2\/5, 1\/2, -80?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/168063993?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79\/(342\/(-69) - 5*7\/(-7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = v + 142, 0*v = -h - v + 33. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/21 - 10\/(-3). Let i = -535 + 534. Put v, 1, i, -5 in ascending order.\nAnswer: -5, i, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**4\/12 - 2*w**3 - 3*w**2 + 12*w - 3. Give c(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-72) - (-37)\/(-88). Let j = 1.15 + -0.95. What is the second biggest value in u, j, 2, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 23*t - 1033. Let r be a(45). Put 0, -4, r, -7, 1 in ascending order.\nAnswer: -7, -4, 0, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 612 and 106.\nAnswer: 32436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 43.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 2:17 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = -7*j + 25722. What is the units digit of j*((-5 - 0) + 18\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 816*j**2. Let a(d) = -2*d. What is a(b(h))?\nAnswer: -1632*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*y**2 - 186*y - 186*y + 374*y as x*y + h*y**2 + o and give h.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 13 = 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.13342211 to four decimal places.\nAnswer: -2.1334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/1011 in -0.066, 0, 0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 6*a - 3. Let l be a\/(-3) - 101998\/6. Round l to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/r**(-4))*r**(-5))\/(r**(1\/15)\/(r**14*r)) assuming r is positive.\nAnswer: r**(104\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 7:08 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -350cc + -14a?\nAnswer: -35249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, -2, -3, -20, 21, 1 in ascending order.\nAnswer: -63, -20, -3, -2, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3050*q - 876 - 4*q**4 + 4*q**4 - 3052*q - 932*q**5 wrt q?\nAnswer: -18640*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 11:50 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -12*i**2. Let r(f) = -3*f**2 + 8*f - 8. Let m(l) = l**2 - 3*l + 3. Let a(w) = 8*m(w) + 3*r(w). What is a(z(o))?\nAnswer: -144*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -599321.9 and 2?\nAnswer: 599323.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 43471000 rounded to the nearest 1000000?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1399927681?\nAnswer: 67, 20894443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -75206*j + 2406603. Calculate c(32).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-136)\/1*(-1)\/(-6)*1077\/718.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkf when three letters picked without replacement from fkffwkwf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3224035 (base 8) in base 2?\nAnswer: -11010010100000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*c - 7 = -0*c, -5*w = -4*c - 22. Calculate the lowest common multiple of w and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 329, -2\/9, -417?\nAnswer: 329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31785.\nAnswer: 3, 5, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 13 = -2*u. Suppose -9 = -z - i, -u*z - 3*i = -46 - 9. Let n(w) = 2*w - 16. What is the smallest common multiple of n(9) and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 20\/3, -70, 0.2, 13, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97115.46ug to grams.\nAnswer: 0.09711546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f - 3*f - 3*f)*(-f - 13 - f + 11)*(-6 + 1 + 6) to the form h*f + q*f**2 + j and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*y - 5, 2*l = -y + 3*y - 20. Let v be (-32)\/(-14) + (-70)\/245. Which is the closest to 6? (a) 1 (b) v (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(19) + (sqrt(19) - sqrt(76)\/sqrt(4)))*4)**2.\nAnswer: 96*sqrt(19) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 6:48 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 148 = -170. Let u = w + 92. What is the remainder when u is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444.6 greater than or equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5a7b (base 15) to base 9\nAnswer: -28348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29\/281 - 26423\/2810. Find the common denominator of ((-4)\/434)\/((-7164)\/57113) and k.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 3*p**2 - 4*p**2 + 3*p**2 - 492*p + 490*p to q*p + h*p**2 + s and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -90*j + 77 + 283. Put -3, 0, j, 36 in ascending order.\nAnswer: -3, 0, j, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401564\/271 < 5173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/34 and -41\/204374.\nAnswer: 204374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h - 12*h + 13*h.\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7034, -14123, -21198, -28253, -35282?\nAnswer: -42279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.98 and 7350.\nAnswer: 7350.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3 + y + 1 + 1. Let m be (16\/5)\/(-1)*(-15)\/(-6). Calculate d(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.131 to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 28*z**2 - 27*z - 208. What is the tens digit of w(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 9*j = 12. Does 3 divide -1*j + (29 - 16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 12*y**2 + 16*y + 294. Let g be r(-11). Let v = -209\/3 - -70. Let l = -67\/2 - -473\/14. Which is the nearest to -4? (a) g (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 60*b - 494. What is m(8)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7*n = 5*l - 416770, 3*n = l - 250064. Let a = -3645 + n. Round a to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 2, 90, 0.1 in increasing order.\nAnswer: 0.1, 1\/4, 2, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 9*b + c = -65, -b + 3*c - 13 = 0. Let d = b + 24. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*v - 636*v + 162*v + 166*v + 8*v**3 + 146*v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -57*z**5\/20 - 40*z**3\/3 - 14*z**2 - 4. Differentiate j(r) with respect to r.\nAnswer: -342*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 376663903?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 5*d**4\/24 - d**3\/6 - 5*d**2. Is k(3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 5*i + 42 = 0. Let c(w) = -w**3 - 6*w**2 + 2*w + 4. Calculate c(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**10\/8400 + 11*m**6\/720 - 11*m**5\/30 - 8*m**2. Let y(u) be the third derivative of z(u). Differentiate y(k) wrt k.\nAnswer: 72*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13759, -27512, -41253, -54976, -68675, -82344, -95977?\n\"Answer: u**3 - 13760*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88781449 by -1.\nAnswer: 88781449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 8:58 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2108*t = -16808*t - 448345 - 66155 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 20 = 0, s + 3*s = -2*z + 20. Let a(q) = -q**3 + 12*q**2 - 18*q - 20. Let p be a(10). Solve -s + p = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533924 is divided by 559.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 7*l**4\/24 - l**3\/2 + 9*l**2\/2 - 4. Let k(h) be the second derivative of i(h). Let d be k(1). Solve -d = 3*b - b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3)\/h*h)**(2\/71)*((h**(1\/2)\/h)\/h)\/(h*h\/(h\/h**0)))\/(h*h**(-2\/11)*h**(-6\/11)*((((h\/h**(5\/3))\/h)\/h)\/h)\/(h\/(h**(1\/3)\/h))) assuming h is positive.\nAnswer: h**(12043\/4686)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/25564 and 155\/5478.\nAnswer: 76692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2790\/31*23\/483.\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47 times 2?\nAnswer: 0.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-2*sqrt(49))\/sqrt(7) - (sqrt(7) + 1 + 2 + sqrt(7))) + (-5 + 2*(-2 + sqrt(1008)))*1)**2.\nAnswer: -336*sqrt(7) + 5524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008718 is divided by 10189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**4\/12 + 4*w**3\/3 + w**2\/2 + 11*w. Let i be m(-8). Sort i, 5, -2 in decreasing order.\nAnswer: 5, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30 and -336332.4.\nAnswer: -10089972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**6 - 222*d**4 + 22*d**3 + 5360*d**2?\nAnswer: 240*d**3 - 5328*d + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.36 - -2.94. Let o = -12.32 + h. Let r = o - -0.22. What is r rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1008, 4054, 9140, 16266, 25432?\nAnswer: 36638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 197573*-1670.\nAnswer: -329946910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4821.\nAnswer: 3, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 10) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -2 (b) -42920 (c) 0.2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 14*t - 25516 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 858448*s - 13735169. What is l(16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.5 times -41963?\nAnswer: -8119840.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.25033 rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46, -68, -88, -106, -122?\n\"Answer: v**2 - 25*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9081455, 3, 1 in ascending order.\nAnswer: -9081455, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, p: 5, d: 6, x: 1}. Give prob of sequence dd.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 32145 + 3295. Is q a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 0*o**3 + 0*o**2 - 1\/50*o**5 + 25 + 0*o - 1\/60*o**6 + 0*o**4. Determine l so that d(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14 - 48*k**3 - 14*k - 7 + 104*k**3 - 55*k**3 wrt k?\nAnswer: 3*k**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -15*s**2 - 62*s - 312. Give y(-8).\nAnswer: -776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 295852 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.221, -4\/3, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 7*h = -4850. Let i be (h\/(-10))\/(-1) - (-3)\/6. What is the highest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -241*c**4 + c + 38?\nAnswer: -2892*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**3 + h**2 - h. Let m be c(1). Suppose 0 = -y + 6*y - q + 32, 4*y + 30 = m*q. Let d(k) = -k**3 - 6*k**2 - k - 5. What is d(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 637, 1245, 1839, 2413, 2961, 3477?\n\"Answer: -a**3 - a**2 + 618*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2491 - 2497. Which is the closest to -0.1? (a) y (b) 2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n - 5*n + 42*n + 833 - 1511*n**2 - 37*n wrt n.\nAnswer: -3022*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/7 + 6748977*m\/7 - 26995860\/7.\nAnswer: -3*(m - 2249655)*(m - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/3 + 890*n**3\/3 + 884*n**2.\nAnswer: 2*n**2*(n + 3)*(n + 442)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1045*l + p - 7312, -3*l - 49*p + 48*p - 24 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7405*r + 192534. Determine s(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 1495503155.\nAnswer: 1495503157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -8 + 3 - 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 3 - (-7 + -2 + 3 + 11)) + -59.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 1 - (277 + -243).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 12 + 4*o + 2*o - 3 - 4*o**3 - 7*o**2. Let f be (18\/30)\/(-4*1\/(-60)). Let j(q) = -2*q**3 - 3*q**2 + 3*q + 4. Give f*j(p) - 4*r(p).\nAnswer: -2*p**3 + p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 21*c - 37*c. Sort 2, c, -5, 6.\nAnswer: -5, 2, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 14 = 135*x, 4*o - 10*x - 20268 = -20324 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 5:18 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17 (b) 2 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-231)\/(-56))\/(9*(-4)\/48)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + -0.3. Let t = 1.2 + d. Let w = 0.3 - t. What is the third biggest value in -4, w, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 7*d**4\/4 + d**2 + d + 6. Give l(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**2 + b**2 + 2*b**2 - 3*b**2 + 0*b**2 + b**2 + (-52 + 52 + 21*b)*(-45 + 8*b + 45).\nAnswer: 165*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 + -125. Let d = 48 + h. Is d != 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/5 (b) 1 (c) 39727 (d) 0.5 (e) -1 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188606543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 - 170*p**2 + 1180*p - 23503. What is z(52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y. Let a be ((-112)\/(-32))\/(49\/(-14)). Give r(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -368*d + 11372. Give x(31).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*v + 13 = b, 2*v = b + 4. Suppose 4*y + 5*g = 22, 3*y - 4*g + b = 3. What is the second derivative of -7*z - z + z**y + 6*z**3 - z**3 wrt z?\nAnswer: 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/6)\/(4\/(-114)). Let d = -22 - l. Put -5, 1, d in increasing order.\nAnswer: -5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8\/18907 + 1342349\/113442. Let d = -7283\/6 + 1217. What is the common denominator of j and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17830, -35661, -53492, -71323, -89154?\nAnswer: -106985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -1 - 3*y - 2*y - 10. Let n be g(-12). Suppose 129 = 5*k + n. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c - 18. Let m be l(8). Let v = m - 25. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.835 + 0.535. Sort 0.1, -54, m, 0 in decreasing order.\nAnswer: 0.1, 0, m, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320198204?\nAnswer: 2, 80049551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5565601 (base 7) in base 12?\nAnswer: -292674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vii when three letters picked without replacement from hhvhvvhviihvvhhhvh.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.5 (b) -4 (c) 5\/4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5645.8 + -5641. What is the second smallest value in c, -1\/5, 2\/5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -2. Let y = 676 + -674. Sort n, y, -3, -4 in descending order.\nAnswer: y, -3, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.4. Let p = 16.5 - 17. Let o = -4 + 4.2. What is the nearest to o in -3, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/(-2583))\/1*(-8614)\/438 and 61\/1353.\nAnswer: 28413","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128 + -122. Let w(y) be the third derivative of 0*y**3 + 0*y + 2\/105*y**5 - 8*y**2 + 0 - 1\/420*y**h - 1\/21*y**4. Find p, given that w(p) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -45*z + 52. Let k(j) = 62*j - 70. Let l(p) = 11*f(p) + 8*k(p). Determine l(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1340*v**3 + 2612*v**2 - 1204*v - 68 = 0 for v.\nAnswer: -17\/335, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-6)*(-408)\/136\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2092 - 1504 = -z + 3*g, -5*z - 3*g = -18016. Suppose -12*l - z + 9422 = 0. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -172? (a) 4 (b) -3\/49 (c) -120 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17659955.\nAnswer: 5, 3531991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -8, 13, 52, 115, 208, 337, 508?\nAnswer: 727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/20)\/(7619502\/(-101865)).\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = -3*w + 2512. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -388, -866, -1346, -1828, -2312?\nAnswer: -2798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 80, 86?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 22*w + 7. Let m(v) = 33*v + 10. Let b(l) = 5*m(l) - 8*r(l). Find the first derivative of b(t) wrt t.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*a = 10*a + 129. Solve 0 = -4*z - 4*g + 32, 13 = z - g + a*g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4235 (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from qbqdqvqduuudq?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 - 9 = 7*h. Suppose -f + 10 = -5*m, 2*f - 3*m = f + h. Solve -4*c = f, 2*b - b - 1 = 4*c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1786 at least -1774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + r = -940. Let q = 681 - r. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-78)\/(-4) + (-11 - (-209)\/22 - 1). Solve -3*x = 4*h - 7, -15*h = -c*h + 5*x + 23 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15730112, -15730108, -15730104, -15730100, -15730096?\nAnswer: -15730092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10174090548572 and -0.5.\nAnswer: -10174090548572.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1557*a*h**2 + a*h*k + 52*a*h + 203*a*k**3 - 19*h**2*k**3 + 2342*h*k**3 - 10*h*k**2 - 2*h*k wrt k?\nAnswer: 1218*a - 114*h**2 + 14052*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.64422168 to 2 dps.\nAnswer: -2.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 923 and 1937.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 369650890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (206 + 149 - 33 - 66)*(23 - 4*x - 23).\nAnswer: -1024*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27419 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 944 and 118?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 8*v = 5, 2*k + 4*v - 2 = v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 9) to base 4\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**2*x**4 - 2*f**2*x + 1515*f*x**4 - 1111*x**2 wrt x.\nAnswer: -48*f**2*x + 36360*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2181 + 2209. Let r(x) be the second derivative of x**4\/12 + 5*x**3\/3 - 2*x**2 - 3*x. What is the remainder when r(9) is divided by n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86746 (base 13) in base 14?\nAnswer: -6474b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.2 + 13.2. Let i = -48\/13 - -257\/52. What is the third biggest value in d, -0.4, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (-5 + 19)) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 20*x - 5. Let p be 24\/(-2)*(-3)\/6. Is y(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*w + 3*l, 4*w - 5*l + 7 = 34. Let m be (-1)\/(-4) + 78\/w. What is the tens digit of 55\/2 - m\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -23*a**2 - 10. Let g(b) = 24*b**2 + 9. Let f(z) = -3*g(z) - 4*q(z). What is the derivative of f(d) wrt d?\nAnswer: 40*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - s**2 - 3*s**2 + 2*s**3 - 2 - 8*s. Let q be 80\/(-8) + 20 - 4. Let w be k(q). What is the highest common factor of 22 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*o**4 + 33*o**3 - 24*o**4 + 52*o**4 + (o + 0*o - 3 + 2)*(-o**3 - 7*o**3 - 5*o**3).\nAnswer: -11*o**4 + 46*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1145 + 1149. Solve 10 - 14 = -s*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*j + 14 = 0, g + 3*g + 26 = -5*j. Let b(s) = -20*s**3 + 17*s**2 + 53*s + 3. What is the units digit of b(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (207\/(-1863))\/(2\/(-6)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**2 - 4*h**2 + 11*h**2. Let m(r) = 7*r. What is m(s(z))?\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136797165.\nAnswer: 5, 7, 32479919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-5) + 24\/10. Suppose h*q = 6*q - 5*r - 2967, 0 = 5*q + 3*r - 3681. Suppose -947 = -5*n + q. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 4289?\nAnswer: -4287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-4)*1)\/((-46)\/368). Is ((-1998)\/(-259))\/(n\/322) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 18489042.\nAnswer: -18489047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 326364*b**5 - 2*b**4 + 997*b**2 + 4*b?\nAnswer: 19581840*b**2 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 + z**3 - z**3)*(-2 + 2 - 1) + (2*z**3 - 5 + 5)*(-2 + 2 - 1) + (3*z**3 - 3*z**3 - 2*z**3)*(-5 + 2 + 4).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -52678 (base 9) in base 4?\nAnswer: -20200010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c - 4. Let l be z(-4). Suppose -4 = -l*y - 0. Let m be -15*(y - (-21)\/(-15)). What is the greatest common factor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63553247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**3\/3 + 19*i\/3 + 10 = 0.\nAnswer: -3, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13232*h - 15009 wrt h?\nAnswer: -13232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*y - 99. Suppose 3*g + 15 + y = 0. Find the common denominator of (-927)\/210 + 4\/g and 43\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.052 - 3.624008.\nAnswer: -3.572008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 13\/573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -3. Suppose -2*l - u*l + 25 = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*a = -19112 + 11237 for a.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y + 6. Let g(r) = r + 6. Let a be 33\/(-15) - (-1)\/5. Let n(o) = a*z(o) + 3*g(o). Let l be n(0). Solve 5*c - 19 = l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n + 33669 = 143569. What is the thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -481698.71 rounded to the nearest 10000?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1474 and 3685?\nAnswer: 7370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 1732 + 1737 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.886 + -0.114. Let s be 80\/(-84) + (-2)\/(-3). Let y = 0.908 - -0.092. Which is the closest to s? (a) y (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 5)*(-11*w**4 - 22*w**4 + 6*w**4).\nAnswer: -108*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 12 = 3*y, 5*y - 7 = 13. Suppose 4*f - 12 = 4*r, i = 3*f + f - 5*r - 16. Let k = -0.13 - 2.87. What is the nearest to 0.1 in -1\/4, k, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*1 - 707\/(-101). Suppose -k*x - 53 = -41. Suppose 0 = -4*o + 4*z - 32, -4*o + 0*o = -5*z + 32. Is o != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364 and 14854.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -1. Let r = -735 + 737. Let n(k) = -5*k - 4. Give r*j(o) - n(o).\nAnswer: 5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 201.\nAnswer: -4, 5, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - 0.2. What is the nearest to 0 in -4, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/2, 2\/17, 138.1, -0.1 in descending order.\nAnswer: 138.1, 1\/2, 2\/17, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaraaaaaraahaha. What is prob of picking 2 r?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -241 (base 5) to base 2\nAnswer: -1000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - h + 4 = 0, 138*g + 3*h + 2*h - 20 = 136*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -749822 times -0.7\nAnswer: 524875.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*x - 88*x = -a + 270, -618 = -2*a + 5*x. Solve -21*z + 126 = a for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-82)\/(-12)*(1 + 4 - 3). Let s be 1\/(-7) + (-440)\/77 + 6. What is the second smallest value in 1, t, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1083 + 0.0383. Let m = 57\/2 - 169\/6. Is o bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5618 + 28092\/5. Which is the third smallest value? (a) 48 (b) 5 (c) 0.09 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7846, 15679, 23512, 31345, 39178, 47011?\n\"Answer: 7833*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 19*f**2 - 2*f + 1. Let u = 6 + -5. Let c(w) = 15*w**2 - 1. What is the least common multiple of y(u) and c(1)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -228*g**2 - g + 5*g - g**3 + 2 + 226*g**2. Determine u(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 15 - (0 + -23 + -15 + 7)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 0.12 (c) -0.4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 6*g - 3*g)*(29 - 38 + 17)*(-g - 3*g + g).\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*o + 4*o**3 + 91*o**2 - 91*o**2 in the form d*o + j*o**3 + b + q*o**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**2 - 3*z + 6. Let m(d) = 3*d**2 - 3*d + 5. Let t(s) = 3*m(s) - 2*y(s). Calculate t(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1566 - 1554. Solve d*g - 40 = 32*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*t - 3*t**5 + 7*t + 10*t**5 wrt t.\nAnswer: 140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 110*q + 81*q.\nAnswer: -29*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37392?\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**2\/5 + 56*h\/5 = 0. What is h?\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*w + 31, -n + 5*w + 7 = -4*n. Suppose -5*s = -11 - 4. Let b = s - 0. Calculate the remainder when n is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 4, 0 in increasing order.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifths of a microgram in nanograms?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -6194 - -43362\/7. Let v = -0.01 + -0.49. Which is the third biggest value? (a) 8\/5 (b) v (c) 2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (-1 - 0)*-1. Suppose -2*z + 3*f + 24 = 0, -z - 4*f - 34 = -d*z. Solve 2*t = -0*t + z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -248.584 + 1.284. Let v = m + 247. Sort v, -57, -2\/7, -5 in descending order.\nAnswer: -2\/7, v, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -501, -1041, -1625, -2253, -2925, -3641, -4401?\nAnswer: -5205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.0214506 to one decimal place.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640.5 rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278949193?\nAnswer: 653, 427181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -729 divided by -1?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 6, 3*t - 2*r + 6 = -7*r. Suppose -34 = -t*c - 40. Is c > 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 1932\nAnswer: -19\/1932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9 + 12\/(-3)*-1. Let d be ((3 + (-13)\/5)*t)\/(-2). What is the derivative of -11 - d + 32*r - 30*r wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 8. Suppose -3*g - 4*c = -2, c - 2*c - 4 = 3*g. Let i = 7 + -2. Sort g, o, i in descending order.\nAnswer: i, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - 54. Let g(l) = -4*l - 28. Calculate the lowest common multiple of 10 and g(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + -18 + 32 + -2 + 6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 7*l + 86 = 63, -23 = -w - 4*l for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 1588824.\nAnswer: 7944120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -864 - h**3 + 870 + 6*h**3 in the form x*h**3 + f + y*h**2 + j*h and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144199967 to the nearest integer?\nAnswer: 12008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 + 17792876*n**2 + 71171568*n.\nAnswer: -4*n*(n - 4448223)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 f when three letters picked without replacement from {e: 3, f: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r**3 + 4*r**2 - 9*r + 9. Let h(k) = -k**3 - k**2 + k - 1. Let i(t) = -6*h(t) - x(t). Let c be 2\/8 + 44\/16. Let u = c - 0. Give i(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + -5. Let t(x) = x**2 + 9*x + 4. Let q be t(z). Suppose -q*n + 8 = -4*o - 0*o, 5*o + 2*n = -10. Is -1 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28647, -114580, -257801, -458310, -716107, -1031192?\nAnswer: -1403565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -34*u + 9. Let i be a(6). Let x be ((-2)\/3)\/(10\/i). Let l = 8 - 3. Solve w + l*s + 0*s = 11, -w - x = -3*s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -196666, -196691, -196752, -196867, -197054, -197331, -197716, -198227?\nAnswer: -198882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1637280.\nAnswer: 1\/409320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2594 divided by 143928.\nAnswer: -1297\/71964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.327865ml in litres?\nAnswer: 0.000327865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5063 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 25b?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*r + 295, -3*j - 4*r + 208 = -82. Let x be 9 + 3\/(j\/(-264)). Factor -x*o**4 - 4*o**3 - 196\/5*o - 126\/5*o**2 + 343\/5.\nAnswer: -(o - 1)*(o + 7)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-177)\/1305 - (-258)\/3741 - (3 - 43784\/14160)?\nAnswer: 3\/118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - -0.51. Let u = x + 0.69. Put u, -4, -20 in descending order.\nAnswer: u, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -7) + (-47)\/5 + 4.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (-2 - 4) + (-5434)\/(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12\/469 + 38518\/2345. What is the closest to 0.1 in 2\/5, 1, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 1:07 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmvvmmvvvvvvvmvvvvmv. Give prob of sequence mv.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3426417471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -3*j**5\/5 + 22*j**3\/3 - 38*j. What is the second derivative of y(f) wrt f?\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*d + 7816 = -135*d. Let p = d - 973. Solve -h + 2*u = 3, -5*h + p - 19 = -2*u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Put b, -4, -0.1 in ascending order.\nAnswer: -4, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + (-27 - (-19 + 4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5) + (-29 - -25 - (1 - 9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 10. Calculate o(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 6:57 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -16837 in ascending order.\nAnswer: -16837, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2748390 to the power of 1\/2, to the nearest integer?\nAnswer: 1658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18 + -10 + -7 - -4. Solve t*x = l + 3 - 11, -2*l = 5*x + 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3*o**2 + 4*o**2 + 1)*(-3304 - 7180 + 109) + (2*o - 3*o + 2*o)*(o + o + 0*o) to the form b + x*o**2 + d*o and give x.\nAnswer: -10373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 28\/312*6032\/464\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -13 + 8 - -6 - (-98)\/(-26). Sort -4, -0.1, 1, b in decreasing order.\nAnswer: 1, -0.1, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a3 - 1b7?\nAnswer: -59a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/24 and (18\/48)\/(12\/380).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 76*b + 573. Determine l(-7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 9*v**2 + 4*v - 23. Let u be k(9). Let b = 17 - -16. Let t = b - u. Solve 5 = 4*i + 3*w, w - t = -5*i - 0*w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2102047 is divided by 1050800?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 1118 (c) 0 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-244)\/16 - (-2)\/8. Suppose -2*s = 4*d - 24, -3*d - 3*s = -2*s - 16. Calculate the smallest common multiple of 1 - (0\/2 + i) and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*w = a - 21, -3*a = -3*w - 108. What is the highest common divisor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 2. Let d be o(2). Let w be d\/9*(-6)\/(-4). Calculate the highest common divisor of w and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 65490957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = -661*j + 38 + 2133. Let k = 3 - 2. Let h = -9 + 6. Which is the biggest value? (a) j (b) k (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnv when three letters picked without replacement from {v: 4, n: 3, b: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29857*q - 29875*q - 72 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7811.08 - -7807. Is 1 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4332*u - 4332*u - 178*u**3.\nAnswer: -178*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2458*p**3 - 226*p**2. Let o(g) = 1226*g**3 + 111*g**2. Let y(d) = 4*h(d) + 7*o(d). What is the third derivative of y(z) wrt z?\nAnswer: -7500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-15)*25\/10. Suppose -k*f - 5*v - 178 = 0, 2*v - 101 = 4*f + 231. Calculate the common denominator of (-4)\/(-3) - ((-553)\/f - -1) and -73\/46.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from cgkgckgcccg.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*(sqrt(700) + 5 + sqrt(700) + 4 + -2))**2.\nAnswer: 11040*sqrt(7) + 102916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzeqj. What is prob of picking 1 y, 1 z, and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 2. Suppose 3*m + 0*h + 25 = 2*h, 10 = -5*m - 3*h. Let d be u(m). Let x = -6 - d. Is x at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42805 - 42805. Is a <= -420\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/84*(-196)\/(-21) - 230\/240?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 0.1507?\nAnswer: -0.3507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 7*m**2 - 22*m + 141. What is d(-17)?\nAnswer: -2375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - o + 2, 88*o - 90*o - 14 = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 42*p**2 - 163*p - 13403. Calculate y(-45).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -15*x**2 + 6*x + 13. Let k(m) = -16*m**2 + 7*m + 13. Let v(r) = 7*d(r) - 6*k(r). Find the first derivative of v(j) wrt j.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**2 + 228 - 228 + c**2.\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - -76. What is the remainder when n is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**3\/3 - 1842418*j**2 + 22108990*j\/3 - 5527246 = 0.\nAnswer: 1, 3, 2763623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2889\/10 - -409\/2. Suppose m - 339 = 4*h, -4*m + 32 = 5*h + 440. Let k = h - g. What is the closest to k in 2\/5, 3, -2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5797a1 (base 14) in base 15?\nAnswer: -3de346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 3 - 1 - -6. Suppose 3 = 2*l - 3*n - 1, 3*n = -i. Let w(y) = -y**3 - y**2 + y - 1. Let a(s) = 6*s**3 + 6*s**2 - 5*s + 6. Calculate l*a(b) - 5*w(b).\nAnswer: -b**3 - b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -0.5, -2\/3, -2 in increasing order.\nAnswer: -2, -2\/3, -0.5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 59 = 3*h, -4*q = -h + 5*h - 108. Suppose 5*t = -5*b + 165, 12 = -t + 2*b + 30. Calculate the greatest common factor of q and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 1\/120*i**6 - 7\/60*i**5 + 0 + 0*i**4 + 0*i**3 - 8*i**2 + 0*i. What is the third derivative of h(u) wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188563, 377124, 565685, 754246, 942807?\nAnswer: 1131368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -24, 15 in ascending order.\nAnswer: -24, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0087 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 243159?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 167\/102 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -259, -906, -1983, -3490?\n\"Answer: -215*s**2 - 2*s - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 82.13ml?\nAnswer: 0.08213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one sixteenth of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.2556 + 7.07. Round k to two decimal places.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/(((-11)\/(-2))\/(-11)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-4) - ((-12)\/16 - 1). What is the units digit of 165672\/378 - a\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - (sqrt(2205) - sqrt(2205)*1))**2 + 1.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3. Let l = -137 + 145. Find the first derivative of l*j**3 - 4 + c*j**3 + 1 wrt j.\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*t + 55*t + 22003 = -22754 + 32658 for t.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/72*3162\/124?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 4*w - 4*f, 2*w + w = -f + 148. Let i = -49 + w. Let o be (i - (-15)\/(-25))*(-5)\/(-3). What is the nearest to -2\/5 in 0.01, o, 3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336) - ((sqrt(336) - (sqrt(336) - 2*sqrt(336)*3)) + sqrt(336)))\/(-1*sqrt(1728)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 55? (a) 0.3 (b) 1 (c) -0.1 (d) -4 (e) 80\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + b - 3*b)*(11 + 16*b - 25 + 13).\nAnswer: 32*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -232.117 - -232. Let q = -12.717 - d. What is q rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 + (-4 - 1) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -820 bigger than -798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Let t(f) = 4*f + 10*f - 8*f. Determine t(m(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2460?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8411805*g. Let l(u) = 6*u. Calculate m(l(o)).\nAnswer: 50470830*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 158, -28, -4, 9, 6 in increasing order.\nAnswer: -28, -4, 0, 6, 9, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/77 and 9\/199562.\nAnswer: 1396934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 214455*t*v - t - 116658 with respect to v.\nAnswer: 214455*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q**3 + q**2 - 98*q + 91*q + 4*q**3 + 0*q**3 + 132*q**5 wrt q?\nAnswer: 7920*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 24*c**2 + 30*c + 110. Calculate s(-23).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 25?\nAnswer: 22\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-18) + (12 - 11))*(-15 - -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120*z**2 - 120*z**2 + 14*z**4)*(-31*z - 14*z - 33*z).\nAnswer: -1092*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64596 - 64596 - 17*m.\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4266 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: Let m(l) = -2*l. Suppose -g - 2 = -17. Let y(q) = -g*q - 9*q**2 + 15*q. Give y(m(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 327 and 15?\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1074905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55879331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1474305\/350 + (-3)\/10?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.82 + -0.18. Which is the nearest to g? (a) 3\/5 (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 421.00342 - 421. Let s = 2.997 + -3. Let q = s + d. Round q to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 - 73. Let r be 135\/(-30) - (1 + -4). Which is the closest to t? (a) r (b) -1\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7782589 to the nearest integer?\nAnswer: 2790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*m**3 + 7*m**3 - 2*m**3.\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-12)*x**(-2\/101)*x\/(x*x*x*x*x**(-2\/7)*x)*(x*x\/(x*x\/(x\/(x\/((x**(-18)\/x)\/x))*x*x)*x*x))\/x)**(-5\/4) assuming x is positive.\nAnswer: x**(129855\/2828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-6) - (-7)\/(-21). Suppose -j + 111 = j - 3*w, -y = -3*w. What is the remainder when j is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 2*r - 531636 = 1892253. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.056 + -1.944. What is the closest to 0.1 in 1\/6, b, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 2\/11, 4, 1553?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 2*k**2 - k**2)*(-3 - 3 + 4)*(-14*k + k + 3*k).\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 34. Let x = q + -8. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.05386 - 0.05386. Which is the fourth smallest value? (a) 190 (b) 2\/7 (c) g (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1655919.2*9.\nAnswer: 14903272.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -32, 7, -3 in ascending order.\nAnswer: -32, -4, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 346672*s + 42353520.\nAnswer: -4*(s - 122)*(s + 86790)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*g + 10 - 209*g + 10 - 27 + 6.\nAnswer: -349*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 114. Suppose 14*a + j = 11*a. Is 35 a factor of (35\/2)\/((-8)\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k = -35*k + 960. Suppose -k = -0*c - 6*c. Let r be (610*c)\/(3\/75). What is r rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 17.0222.\nAnswer: 5.10666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/17725 - -88617\/70900. Let a(y) be the second derivative of 0*y**3 + u*y**5 - y + 0 + 0*y**4 - 2*y**2. What is the derivative of a(v) wrt v?\nAnswer: 75*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*o**3 - 6*o**3 + 67*o - o**3 + (-o**3 + 1 - 1)*(0 + 2 + 1).\nAnswer: -o**3 + 67*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*((-20)\/8 + 3). Let a = 7 + k. Suppose 6*d - 18 = a. Solve -3*s + 3*g = 12, -d*s - 3*g + 2 = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1 + -103 + 104\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x + 16. Let q be 1 - x\/(-4) - 14. Let j = q - -30. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**3 + 4*d**2 - 3*d + 13. Let b(n) = 2*n**3 - 5*n**2 + 4*n - 12. Calculate -4*b(x) - 5*z(x).\nAnswer: 7*x**3 - x - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -90 - -89.871. Let o = -0.099 - r. What is the closest to o in 0.1, 3\/8, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 200\/(-6)*15354\/(-4). Let o = v + -207950. Round o to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**4\/2 + n. Let u = 203 + -89. Let q(i) = -114 + u + 2*i. Calculate t(q(s)).\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 7. What is the second smallest value in v, 3\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 29*c - 19 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*w - w. Suppose n = -3*n + w. Let 3*r**2 - 4*r**2 - n*r - r + 4*r + 2 = 0. What is r?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72.024 - 72. Let q = -0.0240228 + r. What is q rounded to six decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6560\/80 + -44 + -11.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138397 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: Evaluate 1\/(55\/(-340)) + 2\/11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + -2 - (-7 + 1). Solve i*p + 3*p + 20 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -391 - -386. Let i(y) = 3*y + 6. Give i(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-33209982)\/(-81) + 2\/9. Round c to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 12:08 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (32\/15 - (-8)\/(-60)). What is the greatest common divisor of 45 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - -4*1*sqrt(77))\/(sqrt(7) + (sqrt(7) - sqrt(56)\/(-1*sqrt(8)))))**2.\nAnswer: 275\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -20. Let p be s + -830000 + (-10)\/10. Round p to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a + 31. Let o be l(2). Suppose 216 = 41*q - o*q. Let u(p) = -p**2 + 11*p - 5. Give u(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -19. Let d be (a\/5)\/((-8)\/(-5)). Suppose -7 = -4*m - 23. Sort m, d, -0.09 in decreasing order.\nAnswer: d, -0.09, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 14870 = -5*d + 3634, -3*d - 12317 = -2*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + j + 3)*(-3*j + 3 - 3 + (-3 - 2 - 2)*(-j - 2*j + 5*j)) as i*j + h*j**2 + q and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/82901934 and -85\/394?\nAnswer: 82901934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1750 divide 1181202750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4755*h - 4. Let g(k) = -1226794*k + 1034. Give -2*g(j) - 517*z(j).\nAnswer: -4747*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690098 a multiple of 680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -506 divided by -20290.\nAnswer: 253\/10145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n - 519. Let l(p) = 8*p - 523. Give -2*l(f) + 3*o(f).\nAnswer: 2*f - 511","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113 - 374. Let k = s + 259. Which is the nearest to -2? (a) 0.3 (b) -8 (c) -3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 39\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 1.87, 1\/4, -2\/15 in decreasing order.\nAnswer: 1.87, 3\/2, 1\/4, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 798 = 9*t. Calculate the greatest common divisor of 38 and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.0043 - 0.0043. Which is the smallest value? (a) o (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 12505 = -2*h + 6301 + 6243, 3*h + 6*b = -9 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/(-48))\/(20\/(-372))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 3. Let n(q) = 597*q + 10. Calculate 4*a(y) - n(y).\nAnswer: -589*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -16 + 8 + 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 - 0.36. Suppose 2*b + 0*b + 3*d = 12, 3*b - 2*d = 5. Let r be 2\/2 - b\/12. Sort h, r, -1\/5 in decreasing order.\nAnswer: r, -1\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2f6 (base 16) to base 11\nAnswer: -62a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*(-3*(sqrt(19) + sqrt(57)\/sqrt(3)) + sqrt(19) + sqrt(19) + sqrt(2299)*-1 + sqrt(2299))**2.\nAnswer: -9120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 9:50 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.8 + -0.2. Let t = -0.2 + 0.1. Which is the nearest to t? (a) o (b) -3\/4 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.5 + 17. Let x = 3 + v. Let l be (-115)\/23 - (-4 + 5 - 4). Which is the nearest to -0.3? (a) x (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*b + 1020 = 2737 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3636444445 to 3 decimal places.\nAnswer: -0.364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 + 6598*m**3 + 48 + 55 - 6666*m**3 + 52.\nAnswer: -68*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24250\/100*(-4)\/(-600) and -43\/260.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27980, -27975, -27970, -27965, -27960?\n\"Answer: 5*i - 27985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -375, -2\/5, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 142670?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*x + 12 = -329*x + 3*r, 11 = 5*x + 2*r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000278896 to 6 decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.05016 rounded to two decimal places?\nAnswer: -2.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*l - 6 - 13 - 26 + 45.\nAnswer: -233*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*q - 6, -5*a + 6 = -q - 3*q. Suppose 5*t = f + 3*f + 374, t - 72 = -a*f. Let z = 127 - t. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a + 2. Let q(w) = 234*w - 21. Let y(p) = -2*q(p) - 30*s(p). What is the first derivative of y(z) wrt z?\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164\/109 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 4\/(-6))*(31 + -10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -152 - -217. Suppose -12 = a + 2*t - 31, -5*t - w = -2*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2040932105\/17619 - -115837. Let o = p - 775066\/1497615. Let f = o + 2\/17. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -26800\/11099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrppdrppppppdprrpr. What is prob of sequence rr?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 2*p - 2. Let x be g(-5). Suppose x = 4*s + 21. Differentiate 4 - 20*n**3 - 16*n**3 + 20*n**s wrt n.\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-4)\/sqrt(7)*6 + 5.\nAnswer: -24*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(40)\/sqrt(4) - (sqrt(1440) - sqrt(1440)*1))\/(3*sqrt(15)\/sqrt(3) - (sqrt(5) + (sqrt(5) - sqrt(80)*5) - sqrt(5))).\nAnswer: -3*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*x**3\/2 - 4307576*x**2\/3 - 77614*x\/3 = 0. Calculate x.\nAnswer: -2\/111, 0, 77614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 15) + (-2 - 9 - (177 + -188)) - 26?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 14. Let g = 23 + y. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + (-21)\/(-6))*(-2836)\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1141 (base 5) to base 13\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2349147185 to the power of 1\/2, to the nearest integer?\nAnswer: 48468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 3 - 20*b + 19*b)*(0*b + b - 3*b)*(1 - 1 - 2*b).\nAnswer: -4*b**3 + 56*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69 or 352\/5?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 2*j + y + 136, 4*j + 2*y = 256. Let d be 319\/j + -1 + (-7)\/(-6). Solve -2*g - 2*m = 10, -g - d = -2*m - m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50\/7 + 7. Suppose -z + 99 = -66. Let c = z - 2807\/17. Put v, c, -2 in descending order.\nAnswer: c, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 84281 (b) 0.0176 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 223, 1\/8, -3\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2509753*-0.2\nAnswer: 501950.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1565 = x, -2*w - w + 2*x = -4710. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = w + 3*w - 17, 5*w + a - 10 = 0. What is the remainder when 15 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 526, -3, 4, 3350 in decreasing order.\nAnswer: 3350, 526, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 15*d - 7. Let v be i(3). Suppose -9*a = -v + 2. Calculate the remainder when 7 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {d: 3, y: 2, u: 6, o: 4, p: 1, w: 2}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - m = -3*h - 343, 4*h - 336 = 4*m. Let i = -79 - m. Which is greater: i or 9\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-58 - -55) + (0 - -1)) - 16.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, q: 4, b: 8, j: 1}. What is prob of picking 2 b?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70584 and 7200.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11475601 to the nearest integer?\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4823, -6568, -8329, -10112, -11923?\n\"Answer: -l**3 - 2*l**2 - 1732*l - 3088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(18 + 1880\/(-104))*(-3)\/(12\/4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -143*(-9)\/117 + 1 + -30.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2907 is divided by 65?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*r - 18 = -51*r. Let q = 14 + r. Calculate the remainder when 63 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -241875 divided by 3225\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j - 1. Let r = -59 + 26. Let m be -1*(r - -3)\/(-3). Let q = 14 + m. Calculate a(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54)\/243 + (1 - (-904)\/18). Let t = -48 + m. Solve 0 = -t*i + 8*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 161*h + 7*h - 521 - 319 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 102?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.164 + -0.064. Let o = -125.2 - -131. Let z = o - 0.8. Which is the smallest value? (a) -5 (b) 1\/3 (c) t (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a - 54*a + 26*a + 8*a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*d + 75*d = -4280. What is the greatest common factor of d and 655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 285575929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(-2\/85)*(l**0)**(-44) assuming l is positive.\nAnswer: l**(-2\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 + 13 - (1 + -1) - -273 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(6\/4) + -4. Let d = l - -9. Determine o so that 2*o**4 + 2*o + 2*o**d - o**3 + 4 - 6*o**2 - 3*o**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45681014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 14\/233, 66, 4?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.47 * -0.0563.\nAnswer: 0.533161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 49271391 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, x: 1, w: 2, q: 4, v: 9}. What is prob of sequence vtqw?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*t + 47*t**2 + 307*t.\nAnswer: 47*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 314.6 * 11186.\nAnswer: 3519115.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1303*r - 2926*r - 4129*r - 1192*r to s + k*r and give k.\nAnswer: -6944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -68, -108, -160, -230, -324, -448?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**5\/15 - 7*p**2. Let l(s) = 5*s**2. Determine l(d(f)).\nAnswer: 80*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 19 + 18*v**2 + 25 - 13 + 21.\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7711140 - 4?\nAnswer: -7711144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-4 - -7) - 1 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -426.03 - -429. Round u to 1 dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*t**2 + 48782449*t - 13937842.\nAnswer: -(t - 6968921)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1286705?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 15. Let y = -139 + 139. What is i(y)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4 - 3. Let k = 0 - -3. Let y = k + p. Solve y*z - 2 - 2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 + 7*b + 6. Let l(s) = 6*s**2 - 18 + 0*s**2 - s**2 - 20*s. Let f(t) = 8*d(t) + 3*l(t). Let r be -5 - (-4 - (-16)\/4). Give f(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/2 and 97\/202.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0086482 rounded to 4 decimal places?\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b - 20. Let y be p(4). What is the common denominator of 13\/14 and y\/1 + (-95)\/80?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -441*r + 4*r**6 + 56*r**2 - 225*r**3 + 43*r**3 + 440*r wrt r.\nAnswer: 480*r**3 - 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/7 (b) -3 (c) -1 (d) -25 (e) -1.2 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 735232263.\nAnswer: 3, 245077421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (3 + -1)) + (-10 - -8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11150 + 11146. Which is the third biggest value? (a) v (b) 6 (c) -43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 886?\nAnswer: -887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 6*r**2 + 16. Let l be m(-5). Let h be 44\/14 - l\/(-63). Suppose 6*b - 12 = h*b. Solve 0 = 4*z + 2*u - 16, -b*z - 3*u + 8 = -5*u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2, 0*s - 2*s + 3*v - 14 = 0. Find the common denominator of (9\/162)\/(2\/(-80)) and s\/(-10) + 6\/(-20).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -1\/6, 0.1, -79, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 768250 to the nearest ten thousand.\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003722 rounded to 6 dps?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h = 7980 - 20832. Does 28 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 11, 9\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1566568 divided by -3319\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -219 + 1530\/7. Let u be ((-63)\/10)\/(-7) + -1. Put u, j, -5 in descending order.\nAnswer: u, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 220237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/(-162)*15\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 94\/15, 91\/263, -0.4?\nAnswer: 91\/263","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 944929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178100563 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u + 6331 + 2363 = 0. Let r = u - -335. What is the greatest common factor of 91 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11 (b) -0.4 (c) 1 (d) 88285\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -2\/5, -2.7 in increasing order.\nAnswer: -22, -2.7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.121? (a) -0.1 (b) 3\/2 (c) 0.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 1580?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59500 divided by 250.\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Let z(r) = -872*r**2 + 2*r. Determine z(t(l)).\nAnswer: -872*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 7:30 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = h + 218, -t - 393 = -5*h - 1489. Suppose -3 = -4*n + 1. Calculate the common denominator of 3\/((-81)\/h)*n and 31\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 105*p - 110*p - 12 + 0*p**3 + 8*p**2 - p**3. Let h be u(7). Solve 2*n = -h*x - 1 - 1, 0 = 5*n + x + 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*a + 10 = 0, -u - 3*a = -11. Suppose 3*t - 1 = 2*i + 13, u*t + i = 19. Calculate the lowest common multiple of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*b + 73*b + 112*b)*(0 + 2 - 7 - 5 + 0).\nAnswer: -1230*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1218\/11 or -41795?\nAnswer: -41795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11975\/12 - -998. Let v(q) be the second derivative of 0*q**2 + m*q**4 + 0*q**3 - 3*q + 0. Let x(l) = -2*l. What is v(x(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(3\/10)*t**15*t assuming t is positive.\nAnswer: t**(167\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from yvniyvynvv.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4 = -16. Let p be (-5)\/((-10)\/8) - (-2 - -6). Suppose -4*o = -2*z + 4, i*z - 10 = -p*o - o. Let q(j) = j**3 + j**2 - j + 5. What is q(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -6490 less than -6479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1160*q - 5*v = 1162*q + 11, 8 = -2*q - 2*v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5566*g - 84877 - 13458*g + 84877 - 9149*g to the form i + x*g and give x.\nAnswer: -28173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2079253*g = -2078761*g + 7624 - 26320 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - m = 73, 21 = 4*k - 3*m - 33. What is the remainder when k is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 11*q**2 - 27*q + 19. Let h be f(8). Let j(m) = 4*m**3 + 3*m**2 - 2*m - 5. Let v(l) = 3*l**3 + 2*l**2 - 2*l - 4. Determine h*v(k) + 4*j(k).\nAnswer: k**3 + 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 87, 127, 169?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**4 + 17634*j**3 - 9677304*j**2 + 1851574368*j - 119493736320 = 0?\nAnswer: 196, 5290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3641349027?\nAnswer: 3, 1213783009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*l - 25 = -4*p, -5*l = -25. Solve -v + 3*v = s + p, 0 = -3*v + s + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 4*z - 94 = 0, 1818457*o + z - 70 = 1818460*o for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/1740 and -85\/579072.\nAnswer: 2895360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = a. Let h(s) be the second derivative of -1\/25*s**5 + 0 + 0*s**3 + 1\/30*s**4 + 0*s**a + s - 1\/75*s**6 + 2\/105*s**7. Suppose h(i) = 0. What is i?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3038, -6077, -9116, -12155, -15194, -18233?\nAnswer: -21272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.37825g in nanograms?\nAnswer: 73378250000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 22\/3 - 2\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 152a088 - -2?\nAnswer: 152a08a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 + -46. Let s = -39 + z. Which is the nearest to 2\/3? (a) s (b) -1 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 27467658?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g - 7. Let d be r(-5). Let t be (-1130)\/452 - (-26)\/4. Solve 0 = -d*u - t + 19, -4*c = u - 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 861302967.67 and 4?\nAnswer: 861302963.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -5*j**4\/12 - j**3\/2 - 8*j. Find the second derivative of i(u) wrt u.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 859\/3690 + 1\/90. Let o = 1179263 + -96697249\/82. Let u = o + q. What is the common denominator of u and -69\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (863*h - 349*h**4 - 863*h)*(-1 + 1 + 1) to the form d*h**3 + s*h**4 + q + g*h**2 + c*h and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*y = -2*y - 2, -3*k = -4*y - 24. Let u be ((-2)\/k)\/((-4)\/80). Solve 0 = 5*d + 15 + u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a. Let b(d) = -67*d. Determine b(o(x)).\nAnswer: 335*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 16*c**5 - 1784*c**4 + 9025*c**3 + 31984*c**2 + 14188*c + 1696 = 0.\nAnswer: -2, -1\/4, 8, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 + 183*x**3 + 2987*x**2 + 2805*x.\nAnswer: x*(x + 1)*(x + 17)*(x + 165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 9.7. Let g = v - 2.3. What is the nearest to g in -2\/3, 1\/10, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5686284 decades in years?\nAnswer: 5.686284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1044235210 and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 2*d + 34. Let g be p(-6). Suppose -307 = -g*y + 33. Let l = y + -37. Sort -2, 4, l in descending order.\nAnswer: 4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.64346402 rounded to three decimal places?\nAnswer: 2.643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f - 2. Let u be v(1). Suppose -y + 2 + 84 = 5*d, u*d = 5*y - 290. Calculate the remainder when y is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*s - 31*s - 38*s**2 as f + a*s**2 + r*s and give a.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 5*d + 3. Let f be h(4). Let r = -2\/195 + 23\/130. What is the nearest to r in f, -2\/11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 15*i. Let f(c) = 7*c. Let m(d) = 5*f(d) - 3*x(d). Let z(v) be the second derivative of -6*v + 0*v**2 + 1\/6*v**3 + 0. Give -2*m(b) - 18*z(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q - 3. Let g(r) = 16*r + 6 - 14 - 27*r. Determine -3*g(v) + 8*w(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 14*m**2 + 11*m + 31. Let x be z(13). Suppose x*s - 339 = 4*s. Suppose 2*p - 2*a - 190 = 0, a = 5*p - s - 144. What are the prime factors of p?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 19*v - 133. Let c be b(-17). Is c greater than -101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 7. Suppose 4*h = -0 + 8. Suppose -12 = n - 4*o, -h*o = 2*o - 16. Calculate the lowest common multiple of n and t(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -8772*t - 87706. Determine w(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(28)\/sqrt(4)) - (3*sqrt(637))**2.\nAnswer: -5733 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -224012 and 160.2.\nAnswer: -35886722.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*g + 167 = -4*g, -4*z + 3*g = -155. Let w = z - 7. What is the common denominator of (-97)\/w - (-8 - -5) and 9\/10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11\/20 - -3\/10. What is the second smallest value in h, -0.2, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-23 - -22) + 27 + -5 + -1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 9:40 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2608 (base 9) to base 5\nAnswer: 30302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 972 and 648?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2748 + -1748. What is the greatest common factor of 40 and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + -3*(sqrt(448) + 1 + sqrt(448))**2 - ((((1 + sqrt(448))*-4)**2 - sqrt(448)) + sqrt(448))) + -3*(1*1*sqrt(448))**2 + -1.\nAnswer: -13908 - 344*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 424 + 416 = 0. Solve 3*w - 5 = l for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(7200) - (sqrt(7200) + 1*sqrt(7200))**2)*2 + 1 + sqrt(20)\/(sqrt(10)*2)*2 + 1.\nAnswer: -57593 + 121*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2778, -2\/11, 0.7, -1\/9, 0.\nAnswer: -2778, -2\/11, -1\/9, 0, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, q: 8, p: 2}. What is prob of sequence dqq?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2102 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 2024515*j - 4049010.\nAnswer: -5*(j - 404901)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, 3\/2, -0.3, -127454?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)*k\/(k*k**(-1)))**34 assuming k is positive.\nAnswer: k**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 23 = 5*p, -q - 2*p + 0 = 2. Suppose 2*j - 6*z + z = 12, -5*j + 4*z = -30. What is the remainder when j is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p - 1. Let w be t(-2). Suppose 4 - 3 = -i, -9 = -2*y - w*i. What is the highest common factor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96.2 + -96.748. What is z rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90496\/15 - -6036. Let j = -679783\/93402 - -4\/15567. Find the common denominator of t and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -2.7. Let z = 0.297 + -0.297. Which is the closest to z? (a) 4 (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1067*x - 24098 + 10227 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**2\/2 - 21*a - 48 = 0.\nAnswer: -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1811 to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-10 - -19) + -30.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r**2 + 3*r + 1. Let w be p(-2). Suppose 3*t = 22 + w. Let q = t + -6. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxbnxxqnxpqbpuqpppu. What is prob of sequence nbpb?\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21338767.\nAnswer: 19, 1123093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.9585 - 0.0415. Which is the closest to 0? (a) 2\/19 (b) -3 (c) 0 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -13*n - 41. Let h be k(-8). Suppose h = 788*m - 781*m. Solve -g + 4 = m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a minute in milliseconds?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3\/2 (b) -0.2635 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24806357867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) 2 (c) 9533985\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32\/13 or 3?\nAnswer: 32\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -293, -652, -1011, -1370, -1729?\n\"Answer: -359*c + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -4*v**3\/3 - 3*v**2 - 2*v - 3. Determine f, given that i(f) = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 650*v - 133*v - 10340 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p + p - 5*p)*(-1 - 2*p + 1) - 3*p**2 + 5*p**2 - 3*p**2 + (-70*p + 223*p + 86*p)*(-4*p - p + 6*p) in the form m + k*p + y*p**2 and give y.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 2*l + 4*f, 3*l = 5*f. Suppose 3*j + 39 - 222 = l. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -44 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**4\/12 - u**2 + 8*u. Suppose 0 = -2*t - 8 + 16. Let q(p) = p**2 - 2. What is t*r(b) - 5*q(b)?\nAnswer: -b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1204 + 1414. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (161\/(-42))\/23*-18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 144*k**2 + 6*k - 1. Is a(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -3\/7, -266\/3, 3 in decreasing order.\nAnswer: 3, -0.3, -3\/7, -266\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -923 + 2104. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4580009305?\nAnswer: 5, 83, 1429, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91619 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.1 + -0.1. Suppose -3*l - 2*s = -4 - 1, -4*l + 2*s = -30. Let r = 63209 - 63208.9. Put r, q, l in descending order.\nAnswer: l, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -1\/8*m**4 + 0 + 0*m + 1\/60*m**5 + 2\/3*m**3 + m**2. Is p(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 51\/(-7) + 2\/7. Let s(t) be the second derivative of t**5\/20 + 2*t**4\/3 + t**3 - 5*t**2 - 625*t. Give s(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8*m - 84. Calculate the remainder when 117 is divided by b(-18).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 279 = -15*j - 24*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + -8 + -1 + -50999. Let l be z\/(-9 - 23448\/(-2608)). What is l rounded to the nearest 100000?\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41876457*r + 41876466*r - 103512 + 103512.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 + 9*x**2 - 5*x - 1. Let l be c(-5). Let g(m) = 1. Let u(t) = -9*t - 15. Give l*u(w) - 15*g(w).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (20 - (-4 - -13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 44 + 164. Let u = -34 + b. What is the greatest common factor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 + -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 5, e: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121482289?\nAnswer: 17, 733, 9749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.63867 and -15.\nAnswer: -20.63867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 + 80 + 15 + 10*a**2.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 2:46 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1 + 8*d - d**2 - 7 + 1 - 2. Suppose -6*b - 9 = -7*b - h, 5*b = 2*h + 24. What is v(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261899 + 23*u + 87296 + 87300 + 87295.\nAnswer: 23*u - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 3. Suppose v - 5*a - 5 = -4*v, -2 = h*v + 2*a. Suppose 3*x + 204 = -5*d, v = 3*x + 3*d + 213 - 15. What is x rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + i**2 - i - 1. Let l be v(-1). Suppose -5*x + 5*q = -80, 10 = x + q - l. Suppose -x = -r - r. Calculate the remainder when 12 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -122, -914, -3064, -7256, -14174, -24502, -38924?\n\"Answer: -114*s**3 + 5*s**2 - 9*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 - 58. Let b(f) be the third derivative of 5*f**4\/12 + 4*f**2. Let h(y) = -3*y. Let z(p) = i*b(p) + 7*h(p). What is z(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q**2 + 8*q - 4. Let t(v) = -v**2 + v. What is c(w) - 8*t(w)?\nAnswer: 14*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-36 - -30) + -10 - 1) + 10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 24738808?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -55146.019 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5061 and 9?\nAnswer: 15183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2239\/13058?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 146, 326, 626, 1046, 1586?\n\"Answer: 60*g**2 + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 323 - 306.1. Let z = h + -16.4. Suppose -2 - 18 = 5*y. Which is the nearest to 0.2? (a) 1 (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3981396 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 3464*s.\nAnswer: 4*s*(s - 866)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 173712763?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - f)*(f + 0 + 0) + 0*f + 6*f**2 + 0*f)*(180 + 135*f - 889*f - 180).\nAnswer: -3770*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 2)*19\/3. Let i = h - -24. Let w(y) = -y**2 + y + 5. Calculate w(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 - 7*v**2 - 87*v + 103.\nAnswer: -7*v**2 - 87*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.019, 39, 14, 373, 0.3?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*n = 12899985, n + 5 = -0. What is x rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 2*t**3\/69 + 72*t**2\/23 + 142*t\/23 - 103. Factor f(p).\nAnswer: 2*(p + 1)*(p + 71)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*12*((-913)\/132)\/(-83)*5\/(-1445).\nAnswer: -2\/289","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 + 11 + 1 + 0. Let w(x) be the first derivative of 2\/3*x**3 + 0*x - c - 3*x**2. Solve w(t) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7*s**2 + 22244450\/7 + 13340\/7*s = 0.\nAnswer: -3335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*f = i - 22, 5*i - 3*f + 30 = 0. Let q be i\/(-1) - 0\/(-1). Suppose 0 = -a + q. Solve 0 = o + a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3242*g + 6490. What is p(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 30 - 10*k**2 - 1 - k**2 - 2*k**3 - 2*k. What is the units digit of y(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67276 and 2420.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10280 and 2890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*o + 10*o - 24. Let k(g) = g**2 + 2*g - 11. What are the prime factors of k(o)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9288000 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 279629892 to the power of 1\/2, to the nearest integer?\nAnswer: 16722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.6 - 1.9. Let o = k - 0.74. Let z = -0.96 + o. What is the nearest to z in -4, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-2)\/(-12)*6. Suppose -4*q + 20 = -3*u + 7*u, j*u + 3 = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*g - 5*l, -7*g + 2*g + 28 = 2*l. Suppose 4*s = s + g*f + 53, 0 = -4*s + 4*f + 64. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -349, -427, -503, -577?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1586270 and 30702.\nAnswer: 4758810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5*s - 3*s**3 - 90*s**2 - 5*s - 95*s**2.\nAnswer: -3*s**3 - 185*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3)\/(h*h*h*h*h*(h\/h**(-1\/6))\/h*h*h))**(-34) assuming h is positive.\nAnswer: h**(697\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yttt when four letters picked without replacement from ttttyy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 30*t + 5. Let r(o) = 75*o + 12. Let c(i) = 12*n(i) - 5*r(i). Let h(k) be the second derivative of k**4\/6 - 104*k. What is c(h(f))?\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -80548, -161107, -241682, -322279, -402904?\n\"Answer: -l**3 - 2*l**2 - 80546*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 1153*d**6\/120 + d**5\/20 + 643*d**4\/6 - 17*d**2 + 39. What is the second derivative of z(r) wrt r?\nAnswer: 6918*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 415281923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/(-8)*2\/(-3). Suppose g*h = 2*l + 21, -24 = -4*h - l + 5*l. What is the highest common divisor of h and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*y + 8*f = 102*y - 200*y - 14, 0 = -2*y + 5*f + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l. Let w = 2 - l. Calculate the least common multiple of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 19026.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 1\/18*i**3 - 3*i + 0*i**2 - 1\/72*i**4 + 0. Suppose c(x) = 0. What is x?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305 divided by 305.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**4 + 2687*m**3 - 170*m wrt m?\nAnswer: -12*m**2 + 16122*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29263*x = -28983*x + 4480 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 122 = 4*o, 2*i - i = o + 31. Let d = 47 + o. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(121)*-2)\/sqrt(11) - (2 + sqrt(11)*3)**2) + 3.\nAnswer: -100 - 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 5*k - 3*k)*(270*k**2 - 4*k**3 + 0*k**3 - 294*k**2) + (0 + 3 - 4)*(-5*k**3 + 5*k**3 + k**4) + 3*k**4 - 3*k**4 - 2*k**4.\nAnswer: -11*k**4 - 48*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20221211 - -1200210011?\nAnswer: 1102211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -5*j + 1, 8*j - 10*j - 5*s - 18 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 217491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4286 at most as big as 4285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/86230 and -57\/551872?\nAnswer: 2759360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.09 - -802.09. Let s = 793 - o. Is 37.2 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 43 = 5*i, -2*o + 3*o + i = 11. List the prime factors of -56*(8*(-3)\/o - -1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q + 25 = 0. Suppose 0 = -3*t + w - 4, w - q = 4*t - 0*w. Put t, 1, 1\/5 in increasing order.\nAnswer: t, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6262.\nAnswer: 2, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-54 - 29 + 6)*(0 - 3 + 2)*(-2*d + 7*d + 3*d) to the form c*d + w and give c.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3930 - 3865. Solve 0 = -f*o + 70*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 1:49 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36\/(-7))\/(117\/26*4\/(-9)). Factor m + 33\/7*p + 18\/7*p**2 + 3\/7*p**3.\nAnswer: 3*(p + 1)*(p + 2)*(p + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114 - 113.94. Put r, -0.1, -2\/3 in decreasing order.\nAnswer: r, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -316.9 to 0 decimal places.\nAnswer: -317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254061.\nAnswer: 3, 28229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 40932 = 3*g. Let f = -163795\/16 + g. Calculate the common denominator of f and (-3)\/9*207\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 2 - 34. Let q = 13 - 11. Suppose q*h = h + t. Solve 5*d - 3*y = -h, -4*d + 0*y + 2*y = 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, 0.3, 638\/13 in descending order.\nAnswer: 638\/13, 0.3, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2505 + 55.0205. Let s = u + -55. Round s to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3864 + 41629. Is p a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 + 2. Let y = 38 - 27. Let r(x) = 15*x**2 - x + 11. Determine y*u(p) - 2*r(p).\nAnswer: 3*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002864464 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 130, 145, 178, 235, 322, 445, 610?\n\"Answer: i**3 + 3*i**2 - i + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2*t)*(2*t + 3 - 3) + (-2*t + 0*t + 3*t)*(5 + 6*t - 5).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*(-2)\/4)\/(((-111228)\/(-312))\/(-713)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 7*z - 6. Let b be (28\/(-6))\/(2\/(-12)). Suppose 3*v + 5*p - b = 0, 6*v = 2*v + 5*p - 21. What is the remainder when v is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -91, -6 in decreasing order.\nAnswer: -1\/5, -6, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 43?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 24 - (-4 + -5 + -52 + 58).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*2 - sqrt(75)) + -3 - ((sqrt(75) + 0)*-2 + sqrt(75)).\nAnswer: -3 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - i + 5 = -0, 2*i - 10 = -4*u. Suppose u = -3*z + 4 + 44. Calculate the least common multiple of z and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4485*j**3 - 3*j**2 - 23*j + 15. Let f be o(9). Round f to the nearest one hundred thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5152671?\nAnswer: 3, 572519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -9*k + 10. Suppose -4*c = -2*c + k. Is (c + 2)*(76 + 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -48661.786 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g + 5. Suppose o + 82 = -s, -s = 2*s - 4*o + 232. Let h be 9\/(-6)*s\/(-30). What is c(h)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 98 = -5*x, 0*x + 2*x - n + 34 = 0. Let r be ((-8)\/(-6))\/((-8)\/x). Suppose 3*d - 5*d = j + 8, r = -3*j + d. Is -4\/3 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 907127261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -102*a. Let v(h) = h**2 - 4*h - 3. Let r be v(5). Let x be y(r). What is the remainder when 3\/((-2)\/(x\/9)) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*m + u - 76, 5*u + 56 = -3*m. Let q = 13 - m. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -193362?\nAnswer: -193362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(918 - 917 + 3*s**5 + s**5).\nAnswer: -4*s**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g + 6*g - 17*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -506*l - 1599. What is the thousands digit of j(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 e, and 2 t when four letters picked without replacement from {t: 7, g: 4, u: 2, n: 1, e: 3}.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -111101101100010010000?\nAnswer: 111101101100010001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/21)*h**(-2))\/(h**2*h*h*h**(3\/8)\/h*h) assuming h is positive.\nAnswer: h**(-919\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13780 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 10:49 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -317 + 326. Let v(k) = 4*k**3 + 3*k + 4. Let x(d) = -d**3 - d - 1. Determine n*x(o) + 2*v(o).\nAnswer: -o**3 - 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 9*t**2 + 22*t - 3. Let k be f(10). Let c = k - 59. Let w(j) = -c*j + 30*j + 30*j. Let a(s) = 43*s. Calculate w(a(l)).\nAnswer: 86*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 8 + 6 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/40)\/(2\/8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -12020002200012?\nAnswer: 12020002200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjvjjjkkhzpkvj. Give prob of sequence kj.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 + -177. Let l be (-3)\/((-2)\/(m\/(-6))). Solve 2*f = -f - 3, -2*f - l = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 5 - -11) + -5. What is the greatest common divisor of a and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -109, 8, -471 in descending order.\nAnswer: 31, 8, -109, -471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679702 is divided by 17883?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 668, 666, 664, 662, 660?\n\"Answer: -2*r + 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1861 is divided by 350.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 31. Suppose -27*y - 1988 = -20*y. Let r = y + 338. What is the remainder when r is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -17\/440, -2.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -16*h - 12. Let k(l) = -l - 1. Let i(a) = -12*k(a) + s(a). Let q(z) = -4*z. Determine i(q(o)).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/40)\/((-1)\/(-2)). Let r be (-9)\/(-20) - (-2)\/(-8). What is the biggest value in t, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 5*k + 2*c - 11, 4*k - 5*c = 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2, -3\/8, -3 in descending order.\nAnswer: 2, -0.3, -3\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 23. Suppose 3*w - 50 = -4*g, 5*w = 5*g - 88 + 8. Calculate the smallest common multiple of d and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + h = -a - 120, a - 5*h = 60. Suppose 2*g + 24 = w - g, 5*w - a = 3*g. What is the lowest common multiple of w and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6827*h + 3165*h**2 - 6827*h - 6049*h**2 + 3207*h**2.\nAnswer: 323*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-204)\/(-10 - 2))\/(1\/2910). Let o = x - 34310. What is o rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eej when three letters picked without replacement from ejjjjjjjejje?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 10937 - 10867 + g to the form n*g + h and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 - 7d9?\nAnswer: -7ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 2*u**3\/3 - 702. Let i(t) = -2*t - 1594. Give q(i(f)).\nAnswer: 8*f**2 + 12752*f + 5081672","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 344*d + 18372. What is k(47)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 1 = -5*j, 2*j - 4 + 2 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/5, -4905 in ascending order.\nAnswer: -4905, -3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 2. Let t be k(-2). Let o be (-2)\/8 - (-1 - -1). Suppose -24*z = -12*z + 60. Which is the second smallest value? (a) z (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from ijakannank?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 5. Let a(y) = 2*y**2 + 20*y + 50. Let c be a(-6). Solve -l - t = c*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 - 166*g + 0*g**3 + 169*g - 2 - 2 to the form o + d*g + y*g**3 + a*g**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 237611863 divided by 237611863\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (16*1)\/(-2)*(-1)\/(88\/(-198))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 3*i**4\/4 - 7*i**3 + 832*i + 1050. Differentiate f(z) with respect to z.\nAnswer: 9*z**2 - 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*p - 2964, -4*c - 2*p + p + 2979 = 0. Suppose -6*d + c = -2*d. Suppose -d = -5*t - 31. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 0 - ((-252)\/7)\/(-2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 15*y**2 - 16*y + 3. Let j be x(-16). Suppose -75 = -5*k + j*i, -3*k - 5*i + 45 = -0*k. Is k >= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 855, -5, -54\/7879, -1\/5, 0.2 in ascending order.\nAnswer: -5, -1\/5, -54\/7879, 0.2, 855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4 - 1932\/(-484)). Calculate the highest common factor of 22 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 556\/60 + -2 - (-5 + 20 - 8)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3516 (base 8) to base 2.\nAnswer: 11101001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5979 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: Which is the closest to 0? (a) 5 (b) 0.08 (c) 0.6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/4 - 4311*g**2 + 6168960*g + 74649600.\nAnswer: 3*(g - 2880)**2*(g + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3150 + -0.1.\nAnswer: 3149.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 5*y = -2*y + 18, 0 = 5*v + 2*y - 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2000?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1. Let i = -77.544 + 77. Let o = 0.044 + i. What is the nearest to -2\/3 in b, 10, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 13*a**2 - 12*a - 1. Let b be (-6)\/(-10) - 306\/(-15). Let x = -7 + b. What is the units digit of v(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 227 + -211. What is the highest common factor of 368 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 307152942 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/83 in -3, 6, 2419?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1112 (base 9) to base 14\nAnswer: -429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 520663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o + 8*o - 3*o - 10*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = 9*h + 8*h. Which is greater: 5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002627119 to seven dps.\nAnswer: -0.0000263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 10:42 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1552, -4252, -8754, -15058, -23164, -33072, -44782?\n\"Answer: -901*a**2 + 3*a - 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14196243253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -106 + 184. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2271632 divided by 44\nAnswer: 51628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16625686 (base 9) to base 11.\nAnswer: -4789444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -11*h - 77. What is b(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2723721, -26 in increasing order.\nAnswer: -26, -1, 2723721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 3*u**4\/4 + u**3\/3 + u**2\/2 + u. What is the units digit of v(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 161*u + 12. Let a(y) = 203*y + 15. Let n(i) = 4*a(i) - 5*g(i). Let d(r) = r**2 - 180*r. Calculate d(n(s)).\nAnswer: 49*s**2 - 1260*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b - 10, -2*r - 2*b - 6 = 0. Suppose 0 = -4*d + 2*d + 2*i - 4, -r*d = 4*i - 26. Solve -6 = -d*t - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 + d**2. Let a be s(-1). Suppose -z + 63 = 5*x, -z + 112 - 17 = -a*x. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 51*c - 48*c - 30*c - 58*c.\nAnswer: -90*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**6\/5 - 83*w**4\/12 + 533*w**2 - 7*w + 188. Differentiate q(y) wrt y.\nAnswer: 24*y**3 - 166*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, a: 4, v: 2, j: 1, i: 2}. What is prob of picking 2 a and 2 h?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 14 = -x, -38542*j + 38539*j - 34 = x for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve n + 12 = 4*j - 5, 2*j = 5*n + 31 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 6:32 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = 23*m - 21*m - 288. Solve -m*i + 32 = -76 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*g + i - 297, -3*g = 3*i - 183. Let b = 53 - 45. What is the remainder when (g\/(-2))\/((-4)\/b) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5732 is divided by (-6 + 8)*(4 - -10 - 11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g - 5. Let v be o(4). Suppose -2 - v = -i. Put 1, i, 3 in increasing order.\nAnswer: 1, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**2 - 37862368*f + 89597431910464 = 0.\nAnswer: 4732796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2449 by -1.\nAnswer: -2449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 30. Let m(z) = 4 + 21*z - 10*z - c*z - 3. Determine m(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.2 - -6.3. Which is smaller: w or 3\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + 711. What is the highest common factor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 0*l = 2*v + 62, -5*l = 2*v - 673 + 546 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3216 divide 84172368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1660.28296 to zero dps.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 70289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**8\/14 + 7*x**5\/20 - 50*x**4\/3 + x**3\/3 + 108*x. What is the third derivative of p(h) wrt h?\nAnswer: -480*h**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1645478423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 - 13. Does 8 divide 3\/((w\/(-24))\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqf when three letters picked without replacement from {f: 5, v: 4, j: 1, o: 3, d: 5, q: 2}?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2124701802 to the nearest integer?\nAnswer: 46094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -28*s**3 + 79\/3*s - 74\/3*s**2 + 5\/3*s**5 + 0 + 74\/3*s**4 = 0.\nAnswer: -79\/5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.072 - 0.372. Suppose q = 4*w, -2*q - 3*q = 3*w + 23. Which is the closest to w? (a) j (b) 2\/13 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-60)\/8)\/5)\/(-3)*-128. Let x be (-48)\/t - 47\/4. Let n(v) = v**2 + 13*v + 24. Let d be n(x). Solve -2*o + d = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l + l**3 + 31376*l**2 - 31376*l**2.\nAnswer: l**3 - 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c + 0*c - 3*c + (1 - 2 + 0)*(-3*c + c + c))*(-19 + 11 - 36).\nAnswer: -176*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 15. Let i(q) = -3 + 11 + 5*q - m - 2*q**2 + 3*q**2. Give i(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 15*y**3 - 9*y**2 - 7*y + 53. Is s(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 14. Determine f(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.6 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 520 - 11*f**2 - 520.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-17)\/(-68) + -3 + (-17)\/(-4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 1 - 2*l - 1. Let u(i) = 2*i - i + 4*i - 7*i. Give x(u(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1213.3383 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2626 and 611390572?\nAnswer: 2626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7278714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-5*1*((sqrt(396)*-2*5 - sqrt(396)) + -2).\nAnswer: -1980*sqrt(11) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4430 - 66398\/15. Calculate the common denominator of 31\/35 and p.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13848270 divided by 6.\nAnswer: -2308045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5600.6 + -1664. Round l to the nearest one hundred.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 15*k - 48. Determine f(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -58, 2\/3, 5, 26?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33363 - -52578. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**5\/2 + 295*b**4\/8 + 995*b**3\/2 + 5065*b**2\/4 + 1190*b - 1121. Determine n so that f(n) = 0.\nAnswer: -7, -1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v**2 + 5*v - 5*v + 2.\nAnswer: 10*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2334*q**2*y + 139*q**2 - 4*q + 3 wrt y?\nAnswer: -2334*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 414*c**3 + 9526*c**2 - 44620*c - 432 = 0. Calculate c.\nAnswer: -27, -2\/207, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 183961804129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**4\/12 - t**3\/3 + t**2\/2 - 3*t. Calculate a(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7930*d**5 - 860*d**3 - 67815*d**2 - 252*d?\nAnswer: 475800*d**2 - 5160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 3, 1, -3, -8 in increasing order.\nAnswer: -8, -3, 1, 3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)*x**(1\/2))\/(x**6)**37 assuming x is positive.\nAnswer: x**(-457\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 129*n*y**4 + 20*n*y**3 + 804*n*y**2 + 188*y**5 + 2*y**2 - 421 wrt y?\nAnswer: 3096*n*y + 120*n + 11280*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 12 = -37. Solve 0 = 2*x - 3 - o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwvwwswvs. Give prob of sequence wvw.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*y = -117*y + 286. Calculate the remainder when 14531 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-5)*40975\/(-1639).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 70005, 141034, 212053, 283056, 354037?\n\"Answer: -k**3 + k**2 + 71033*k - 1028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33.371 - 33.451. Sort -2\/7, 0, -1\/2, 1, a.\nAnswer: -1\/2, -2\/7, a, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-2)*16\/3. Suppose -4*h + 2*h - g + u = 0, -h - 3*g + 9 = 0. Solve 4*y + h*c + 15 = 2*c, 0 = -5*y + 5*c - 25 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 13378611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -7. Let i = 73 - q. What is the highest common divisor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**6\/120 - k**3\/6 + 2*k**2. Let h(a) = -1. Give -2*h(o) + 2*j(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 11*a**2 - 10*a + 3. Let p = 12 + -4. Is j(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g + 294 = 169 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/7 of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42044747?\nAnswer: 97, 127, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5393 + -5389. Solve p - 16 = -5*w, -6*p - 4 = w - x*p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*r - 4 = -0*r, 3*f + 4*r + 26 = 0. Let w be 6*((-7)\/(-2) - f). Let g = 67 - w. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 16*r**2 + 4*r - 7. Let k(j) = 11*j**2 + 3*j - 5. What is -5*h(n) + 7*k(n)?\nAnswer: -3*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 17 - 2*s - 17. Let z(i) = i + 5. Let r(x) = 2. Let b(u) = 5*r(u) - 2*z(u). Give c(b(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + (-1 + sqrt(2448) + sqrt(2448))**2 + (sqrt(17) + (sqrt(306) + sqrt(34))\/sqrt(2))**2.\nAnswer: -48*sqrt(17) + 10227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 3*x + 3*x)*(0*x + x + 2*x) + (9*x + 5*x**2 - 9*x)*(x + x - 5*x).\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 33*v**2 + 71*v - 9. Let s be w(-31). Let n be s*(-8)\/(192\/30). What is the greatest common factor of 135 and n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1738, 1429, 1300, 1441, 1942?\nAnswer: 2893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from buuubuubuuuuubuubuu. What is prob of picking 4 b?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.1 + 3. Let j be ((-37)\/228 - (-2)\/8)*(-822)\/(-685). Which is the second biggest value? (a) s (b) -2 (c) j (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8033402 and 5642?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0 - 9) + (122 - -3 - 140).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**2\/4 - 87*n - 7569 = 0?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/147 - 11\/7)\/(10\/(-4)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000172465548 rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 20*l + 268 = -23*l, -3*m - l = -844. Suppose v - 100 = m. Calculate the highest common divisor of 20 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -198 + 200. What is the units digit of 103*k + 24\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2271, -4541, -6813, -9087, -11363, -13641, -15921?\n\"Answer: -b**2 - 2267*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125 + 163. What is the remainder when 173 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -729951 times -12\nAnswer: 8759412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 9*j + 13 = 2*x, -j = -12*x + 49. Calculate the remainder when 2474 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1130 (base 9) to base 7.\nAnswer: -2304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5486?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1043396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -54*w. Let z(y) = -10*y. Determine z(h(m)).\nAnswer: 540*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 7:23 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132123022123133 - -10?\nAnswer: -132123022123123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/20)\/((-1)\/10). Suppose y*r = -3*v + 88223, 3*r + 2*r + 4*v = 88219. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 78.25411 to 0 decimal places.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 162*l**2 - 9*l**2 + 336*l**2 - 3*l**2 + (-2 - l + 2)*(4*l - 2*l + 0*l) as z + q*l + p*l**2 and give p.\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 132*n**2 - 33*n - 1198. Let u(r) = 66*r**2 - 15*r - 598. Let y(b) = -9*u(b) + 4*z(b). Differentiate y(x) with respect to x.\nAnswer: -132*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.6 (b) 53 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5 - 1\/5*a**2 + 7\/5*a.\nAnswer: -(a - 8)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 3327?\nAnswer: 346008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -4*r + 9*r, 7*i = 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 4:06 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.006 - -13402752\nAnswer: 13402752.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*h = -65*h + 27. Let d(i) = i**2 + 6*i - 7. Calculate d(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22454 - -47171\/2. Let g = 1162 - k. Calculate the common denominator of (-66)\/110 + (-76)\/80 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 1 - 25. Suppose 2 = 4*p + s. Let y = 0.4 + -0.3. What is the closest to y in -4, -2\/7, p?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 - 4*b**3 + 4*b**3 + 6*b**3 + 3436 + 3444 - 6877 + (-3*b**2 + 2*b**2 - 2*b**2)*(-3*b + b + 3*b).\nAnswer: 5*b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -123, 0.4, -387\/10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27204 and 1251384?\nAnswer: 1251384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1215992?\nAnswer: 2, 97, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17041338 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in centuries?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2*c + 6*j - 4*j = 0, c + j = 2*c + 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1798 times -15759\nAnswer: 28334682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 963*f - 142. Is g(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22924 divided by 4.\nAnswer: 5731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - -1. Let g(q) = 4*q - 118. What is the lowest common multiple of t and g(32)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.1 (c) 5 (d) 492\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 0 + 0)*(4 - 5 + 0) - 6 + 7 - 18)*(-1 + 1 - s**2) to the form w + a*s**2 + k*s and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00200554453 to 5 dps.\nAnswer: -0.00201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -7617?\nAnswer: 761.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1742, -585, 5, 1 in descending order.\nAnswer: 1742, 5, 1, -585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/82325 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07, 0.61, 2\/15?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.8 (b) 378 (c) -3 (d) -632\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.93775 - -0.05425. Round q to 0 dps.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x**2 + 14. Let j(s) = -1. Let u be (3*14\/18)\/(3\/(-18)). Give u*j(b) - p(b).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 1:59 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*k - 35 = 0, 4*s = -4*k - k - 56. Let p be (-1 + s\/(-4))*-4. What is the second biggest value in p, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n - 2. Let z be k(2). Suppose 92 = 3*f + z*m, -3*f - 2*f = -m - 115. Calculate the greatest common divisor of f and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -5 + 9 + (1 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**3\/3 + 5*y**2\/2 + y + 5. Let z be d(5). Which is bigger: z or -2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and -4.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (-444 - (-7 - -14)) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 9369*x**2 - 37464*x + 37460.\nAnswer: -(x - 9365)*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*n**4 + 52*n**3 + 94*n**4 - 44*n**4 + (0 + 0 - 3*n)*(10*n**3 + 0*n**3 - 2*n**3) in the form u*n**3 + a*n**4 + q*n + j + b*n**2 and give a.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6*(36\/(-48))\/(6\/(-2))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 634, 2567, 5794, 10315, 16130?\nAnswer: 23239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/2 + 18\/14 and (-220)\/(-12)*3\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 6:28 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28396141889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnq when three letters picked without replacement from qnqqqqqqnqnnqnqnqqn?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(4\/13)\/d*(d*d*d**(-1\/5)\/d*d*d)\/d*d**10*d**(1\/3) assuming d is positive.\nAnswer: d**(2426\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 3*q**4\/4 - 3*q**2 - 614*q. Let z(i) = i**2 + 1. What is r(l) + 6*z(l)?\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjtjqq. Give prob of picking 1 j and 1 t.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 5*g. Let p = -19 - -15. Let r be (-72)\/(-16)*p\/6. Let a be y(r). What is the greatest common factor of a and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 450 and 225?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 + 52. Let i be (-12 - l\/1)*-1. Suppose 4*w = 89 + 67. What is the highest common factor of i and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**6\/240 - j**5\/3 - 65*j**4\/6 - 324*j. Let t(b) be the third derivative of a(b). Let s(k) = -3*k. Calculate s(t(u)).\nAnswer: 9*u + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - (2 - 5))*-1. Let w(i) = 3*i + i + a*i - 6 - 4*i. Suppose 2*g + 0*g - 8 = 0. Determine w(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/5, 304, 1\/3, 0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(12))\/(sqrt(36)\/(sqrt(27)\/sqrt(3))).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 590 + 2843. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b + 5. Let v(m) = 47*m**2 + 51*m. Let g(n) = -34*n**2 - 35*n. Let l(w) = 7*g(w) + 5*v(w). Determine l(t(f)).\nAnswer: -12*f**2 + 40*f - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2951407*o**2 - 4651566.\nAnswer: -5902814*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 - 2*o**2 + 6*o**2 + 4380*o**2 + 944 - 944 + (o - 4*o + o)*(o + 2 - 2) to u*o + w + j*o**2 and give j.\nAnswer: 4380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1044758*z**2 - 1585136*z.\nAnswer: -2089516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 56. Let m = 52 - w. What is the second derivative of -7*p + 4*p**m + 7*p - 13*p wrt p?\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652485151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*i + 372 = 62*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -257 (base 11) in base 16?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4438 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, z: 1, r: 2, e: 1}. What is prob of sequence ez?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, s: 2, g: 6, p: 1, k: 2}. Give prob of picking 1 s, 1 k, and 1 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -78, -64, -32, 24, 110, 232?\n\"Answer: x**3 + 3*x**2 - 2*x - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - 3*g - 3. Let v(f) = -5*f**3 - 6*f - 5. Let l(t) = 5*a(t) - 3*v(t). What is the second derivative of l(i) wrt i?\nAnswer: 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*r - 3. Let b be (-20)\/(-3)*r\/(-2). Suppose 120 = 3*k + 3*l, -5*l - 120 = -0*k - 3*k. What is the greatest common factor of b and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (6 - 1 - (35 + -34))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1139)\/(-102))\/(165\/990)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 5*s + 9 - 2.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.38829 and 4?\nAnswer: 13.55316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 3:24 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/48 and 41\/3367104.\nAnswer: 3367104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65820 and 72402.\nAnswer: 724020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 10:50 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 2913682\nAnswer: 7\/2913682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 l when two letters picked without replacement from {l: 4, j: 1, p: 1, h: 2, v: 11, s: 1}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 1344168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 88425486 a multiple of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 0 - ((22 - 23) + -2). Solve 5*h - m = -2 + u, -5*m = -h - 19 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85 + 90. What is the remainder when 90 is divided by -9 + u - -1 - (-48 + -1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.11 - 7.11. Let p = -7.3 - b. Put p, 0.2, -0.5 in increasing order.\nAnswer: -0.5, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -5 - 8 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86862 - -1.\nAnswer: -86861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 235.2963 - 0.4\nAnswer: 234.8963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -25899?\nAnswer: 10359.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2140080 and 8880?\nAnswer: 2140080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-15) + 111\/5. Does 8 divide 12\/18 + i\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 199284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3708*r + 3710*r - 7418*r + 50539*r**2.\nAnswer: 50539*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2495.9, -120, 2\/11, -0.5 in increasing order.\nAnswer: -120, -0.5, 2\/11, 2495.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -175200238 - -175200269.3905199. Let l = c - 0.3905329. Let z = 31 - l. What is z rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p*p**(1\/11))\/p)\/p*p)*p)\/p)**(-48\/5)\/((p**(1\/4)\/p)\/p)**(25\/3) assuming p is positive.\nAnswer: p**(773\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 116445.9.\nAnswer: 349337.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -15*t + 2. Let q be m(0). Let w(j) = 2*j - 5*j**2 - j + 4*j**2. Let h(k) = -5*k**2 + 5*k. What is q*h(r) - 9*w(r)?\nAnswer: -r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 116653 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 + 3*f**2 + 5*f + 5. Calculate q(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 141?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 53\/4 of a meter?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 9\/137 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - 0.3. Let h = 21 - 23. Is b bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -27, -3, 50, 2, 385 in descending order.\nAnswer: 385, 50, 2, 1, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 2\/4)\/((-456)\/1199584). Is d smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 1606*d**2 - 898*d**2 - 820*d**2. Let w(t) = 16*t**2. Calculate -6*l(r) - 40*w(r).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 370*c**2*v + 3*c**2 - 10*c*v + 9*c - 3*v wrt c?\nAnswer: 740*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 7:24 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -166.767 - -167. Let w = r - 4.273. Let i = -0.04 - w. Which is the nearest to -1? (a) -5 (b) 1\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -1, 79, -92 in decreasing order.\nAnswer: 79, 1, -1, -7, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p + p**3 - 5*p)*(3*p**2 - 2*p**2 - 3*p**2) - 3*p**4 - p**5 + 3*p**4 - 3*p**5 + 3*p**5 + p**5.\nAnswer: -2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2. Let g = -3 - -2. Let u = -3 - -3.3. Which is the closest to 1\/4? (a) w (b) g (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-1)\/(33\/(-7530)). Let x = f - 230. Let y = 60.8 + -61. Is y less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogvc when four letters picked without replacement from xcgov?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from efeeefe?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2. Let g = 44 - 279. Let n(a) = -53*a**2 - 3*a + 3. Let c(r) = 4136*r**2 + 235*r - 235. Let d(y) = g*n(y) - 3*c(y). Give l(d(o)).\nAnswer: -2209*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**6\/120 + n**5\/12 + n**4\/3 + n**3\/3 - 40*n**2. Let t be y(6). Solve -2*k - 9 + 1 = m, 0 = 4*m - k + t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2. Let x(k) = -2*k + 132. What is x(j(l))?\nAnswer: -4*l**2 + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 79610 and 95.\nAnswer: 79610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 12746*w**2. Let f(h) = -29*h**2. Determine f(r(d)).\nAnswer: -4711354964*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -296709*j**2*k**2 + 9*j**2*k + 1022*j*k**2 + 5148*j*k - 28*k wrt k.\nAnswer: -593418*j**2 + 2044*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 3*k + 9. Suppose 15*i = 13*i - 10. Let g be o(i). What is the units digit of 17\/85 + 219\/5 + g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three tenths of a minute?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 37\/2 of a day?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0 = p - 3, 3*p - 5*g = 9. Solve -2*z + 5*x + 22 = z, z + p*x + 2 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87 + (51 - (17 + 87))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 11:49 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101860 take away 47120033?\nAnswer: -47018173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*r - 11*r = -39 - 1846. Calculate the remainder when 4223 is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j*j**25*j\/(j**(-36)\/j) assuming j is positive.\nAnswer: j**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/80 and -187\/30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**2 + v**2 + 4*v**2 - 2 - v. Let n(f) = -5*f**2 + 3*f + 6. Suppose 3 = -5*c - 12. Give c*n(p) - 8*l(p).\nAnswer: -p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 4*u**4\/3 + 3*u**3\/2 + 7*u**2\/2 - 6544*u. Let c(o) = 8*o**2 + 5*o + 4. What is -5*c(p) + 3*y(p)?\nAnswer: 8*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -46, -46, -44, -40?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -807 (base 15) to base 13.\nAnswer: -a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 + 22*v**2 - 12*v - 76. Let i be s(10). Calculate the greatest common divisor of i and 960.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965 a factor of 65659028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -m + 19, -6*m + 35 = -m + 5*b. Suppose m*j = 10*j. Let r(l) = -6*l - 16. Let f be r(-7). Solve 4*k = -2*x - 18, 0 = x - j*k - 5*k - f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51193898.\nAnswer: 2, 7, 3656707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -18\/11 (b) -6 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44 in 2\/11, 11, 1\/4, 7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/8 of a minute?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100010101011100 (base 2) in base 7?\nAnswer: -300205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*d**3 + 189725*d - 189725*d.\nAnswer: 83*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2\/20*-1*8\/4\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z - 40. Let r(y) = -y + 10. Let d(p) = -99*p - 189. Let v be d(-2). Give v*r(t) + 2*i(t).\nAnswer: -t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 - 120137*p + 883 + 240257*p - 120120*p - 883.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwq when three letters picked without replacement from {w: 2, q: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 110 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(3 + 6\/4). Suppose k = 3*b + l, -2*b = 4*l - 5*l - 23. Solve p = -p - 5*o - 6, b = 4*p - o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 less than 26?\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*q - 375*q + 182*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2, -4.4, 0.04, 0.4, 0, -0.16, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - -3 - 1 - -2. Suppose -3*y + 0*y + 140 = 5*u, u - 4*y = g. Calculate the remainder when 97 is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4699339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*l**3 - 3*l + 3*l)*(-l + 3*l**2 + l) + (3*l**3 + 0*l**3 - 5*l**3)*(0 + 2*l**2 + 0) - 278*l**5 - 364*l**5 + 457*l**5.\nAnswer: -228*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.36 - 0.04. Which is the biggest value? (a) 4 (b) o (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-4) + (270\/12 - 24). Solve 4*w + 5*l - 21 = o, w + 12*l - 14*l + 11 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 81 = -79 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giggggfggggggggg. Give prob of picking 2 g and 1 f.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-399)\/(-4) + (-5)\/(-20). Round t to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 39*x**2 - 26*x**2 - 34*x**2)*(-4*x**2 + x**2 + x**2) in the form z*x + m*x**2 + k + n*x**4 + j*x**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y - 833 = 86*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.377 + -0.877. Which is the nearest to -0.1? (a) m (b) -4 (c) -1 (d) -1\/72\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**4 - 13*x**3 - 7*x**2 + 11. Let o(n) = -7*n**3 + 5 - 2 - 5*n**2 + 3 + n**2 - n**4. Let a(u) = -11*o(u) + 6*s(u). Solve a(m) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*j + 0 + 27*j + 0.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -269 + 273. Sort z, -3\/4, -5, -0.5 in increasing order.\nAnswer: -5, -3\/4, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 57.356442 microseconds?\nAnswer: 0.000000015932345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78817733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - y + 58 = 2*o, -3*o + 5*y - 26 = 0. What is the remainder when 9\/3 - o\/2 is divided by 2\/9 - (-52)\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*1367 + (29 - 32). What is y rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 42ac?\nAnswer: -42a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**3 + 5*q**2 + 0*q**3 - 5*q - 3*q**4 + 7*q - 3*q**2 in the form h*q**2 + g*q + m + o*q**4 + y*q**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(130)*1 - sqrt(130)) + -2*sqrt(130)*-3 + sqrt(130))\/(5*sqrt(1440)*-1).\nAnswer: -7*sqrt(13)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2020578, 4041408, 6062238, 8083068?\n\"Answer: 2020830*f - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*v + 15 - 10, 3*t - 14 = 5*v. Sort 4, 5, t, -533 in increasing order.\nAnswer: -533, t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/660)\/((-6)\/15)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281902 is divided by 1424.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 8*t - 5. What is n(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*a + 86 = -a - 344. Let l(h) = -h**3 + 2*h + 2. Let j = 0 + 3. Let f(t) = -13*t + 21 + 34*t - 15*t**j + 6*t**3. Calculate a*f(i) - 21*l(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p - 5 + 4 + p**2 - 5 + 3. What is the remainder when u(7) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14587512 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-4)*12\/(-7). Let v be (4\/n)\/((-2)\/(-15)). Solve 0 = y - v*k + 25, -3*y - 2*y - 37 = -3*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.508637 and -0.03.\nAnswer: -0.538637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.493352 litres to millilitres.\nAnswer: 5493.352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -13*g + 6. Let x(i) be the second derivative of 2*i**3 - 5*i**2\/2 + 139*i. Determine -5*j(m) - 6*x(m).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2356*q + 59. Let z(k) = -2*k - 12. Determine 2*n(o) + 10*z(o).\nAnswer: 4692*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1 - -2)*11)\/(-1). Let a(d) = -d + 3. Let z be a(n). Let l = z + -12. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600 = -7*o + o. List the prime factors of (o\/6 - 0)\/((-2)\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -473 - (3*-4)\/4. What is l rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3100 and 600.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a factor of 383801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.084 + 4.416. Let f = g + -4.9. Let r be 5\/10*5*2. Put r, f, 2\/5 in increasing order.\nAnswer: f, 2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 412*q**4 + q**3 - 53*q**2 + 2171*q - 19?\nAnswer: 4944*q**2 + 6*q - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -28*f + 2. Let i(p) = -2*p**2. Calculate i(g(b)).\nAnswer: -1568*b**2 + 224*b - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/151 (b) -3 (c) 0.5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5 + 8\/9 - 32\/9*i + 14\/9*i**3 + 34\/9*i**2 - 14\/3*i**4 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*a - 183*a - 417 = -152*a. Solve 5*o + m + 3 = 24, a*o - 5*m = 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -5. Let l(f) be the second derivative of 1\/2*f**2 - 1\/2*f**3 + 2*f + 0 + 1\/12*f**4. Determine l(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -5*x**3 - 77020*x**2 + 59395200*x = 0.\nAnswer: -16140, 0, 736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -80.3 * -0.1.\nAnswer: 8.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -26*t - 2. Let y(i) be the third derivative of -18*i**2 - 17\/24*i**4 + 0 + 0*i - 1\/6*i**3. Let c(s) = 5*j(s) - 8*y(s). What is c(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**3\/3 + 9*t**2\/2 + 11*t + 1. Let z be b(-8). Suppose 5*v - 13 = 3*x - 4, 9 = v + z*x. Solve -2*a + 5 + v = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 11 + (-36 - -25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, 1\/34 in increasing order.\nAnswer: -4, 1\/34, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 100601330 to the power of 1\/2, to the nearest integer?\nAnswer: 10030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 3*b**2 + 2*b + 1. Determine n(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -14, -1, -5 in decreasing order.\nAnswer: 3, -1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, s: 1, f: 10}. What is prob of picking 3 w?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2720 is divided by 1433.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3\/9 - 8956*w**2\/9 + 116597*w\/9 = 0. Calculate w.\nAnswer: -8969, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 15\/(120\/62048) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**2 + 112*p + 900. Calculate b(-7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 - 10*s - 9. Let g(j) = 7*j**2 - 21*j - 18. Let b(z) = 2*g(z) - 5*h(z). What is b(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 60.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 + 4*p**2 + p + 1. Let u be w(-3). Let x be ((-8)\/(-10))\/(8\/u). What are the prime factors of (1\/x)\/(2\/(-108))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/9*3\/2. Let d = c + -3. Let h be d\/7 + 60\/14. Sort h, 0.3, 2\/7 in decreasing order.\nAnswer: h, 0.3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.937 less than or equal to -0.5569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.549 + 522850.\nAnswer: 522867.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -2.41, -125\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-202)\/(-22) + 4\/(-22). Suppose -d + 5 = u. Does 4 divide d\/3*15\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*-0.08\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/(-11) - 3 - 7\/((-385)\/235). Let m = 794\/245 + -2\/49. Factor -2\/5*f**s - 14\/5*f**3 - m*f + 0 - 28\/5*f**2.\nAnswer: -2*f*(f + 1)*(f + 2)*(f + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1965 = -31*b - 2461 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 81.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011608 to six decimal places.\nAnswer: 0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z. Let o(b) = -108*b**2 + 14*b - 14. Let r(y) = 72*y**2 - 10*y + 10. Let u(a) = -5*o(a) - 7*r(a). Calculate i(u(w)).\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/((-80)\/(-42005)) + 1\/(-4). Suppose -4*j + j = -a. List the prime factors of (2\/5)\/(6 - 4196\/j).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 6 + 2. Solve -10 = m*j - 0*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -34. Suppose -232 = -23*p + q*p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 2*u + 0*u - 137 + 186 + 5 = 0, -20*u = 4*j + 144 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2\/3, -3307732 in descending order.\nAnswer: 7, 2\/3, -3307732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 4. Suppose 0 = 2*w - 20 + 2. Let s(x) = -x + 12. Let i be s(w). Calculate g(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-5))\/(4\/(-30)). Let p be 3\/(f*(-4)\/32). Solve -3*u - 8 = p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 6 = -2*d + 1280, 2585 = 4*d + 5*l. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*u - 8*u + 3*n, -3*u + 3*n = 27. Suppose -2*q = -5*s - 50, 0*s - 5*q = -2*s - 20. Is s <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4, 0*x + 22 = -5*v - 3*x. What is the units digit of 192\/(v\/15*-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2239 + 2243. Suppose 4*y - 5*a - 30 = 3*y, a = -2*y + 5. Solve -y = 5*s + 4*q, j*s - 15 = 9*s + 2*q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31120?\nAnswer: 2, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -2*x + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 - -6. Let q = r - -525\/8. Which is the closest to -1\/2? (a) q (b) 2 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x = -24. Let r be (-56)\/x*(-360)\/28. Let f = -67 + r. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u. Suppose o = -0*o. Let c(y) = o + 10*y - 15*y + 0. Calculate c(f(d)).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w - 13. Let u be i(13). Suppose -u = -3*m + 4*t, 5*t + 118 = 4*m + 3*t. What is the remainder when m is divided by (2\/6)\/(6\/216)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 plus 10215.8369?\nAnswer: 10201.8369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**3\/6 + 24931300*q**2\/3 = 0. What is q?\nAnswer: -9972520, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -a6211b?\nAnswer: -a62118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**3 + 75*p**2 - 145*p + 1560. Calculate i(36).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from awwtaatwww.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 5*n**2 + 3*n + 1. Let c be k(4). Let y be ((-28)\/(-10))\/(2\/(-10)). Let s = c + y. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxrx when four letters picked without replacement from qrcwxwxlqwx?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -7*u**3 - u**2 - 5*u + 1. Let n(z) = 15*z**3 + 3*z**2 + 11*z - 2. Let f(k) = -13*c(k) - 6*n(k). Let g be f(5). Let h = 20 + g. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((378\/(-1323))\/(1\/336))\/(20\/2)?\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 629?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-108)\/9)\/(10\/(-1)))\/((-588)\/(-1050))?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n - 31. Let j be f(-5). Let b be j + -1 + 15\/5. Are b and 2\/153 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31047479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 22946?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -175 and -0.0466?\nAnswer: 8.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**4\/36 + 43*v**3\/18 + 12*v - 6. Let u(s) = 0. Calculate s.\nAnswer: -43, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*f + 72*f = 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 533*-2.71\nAnswer: -1444.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + o + 0*o + (2 - 3 - 1)*(9*o + 127*o + 21*o))*(2*o - 4*o + 0*o - 4*o + 4 - 4 + (-o - o + 4*o)*(0 - 1 + 0)).\nAnswer: 2528*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -6 - -1) + (4 - 3) + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 + -0.2. Which is the third smallest value? (a) v (b) -2\/5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 7*l - 157. Suppose 0 = -2*v + 2*j + 134 - 16, 2*v = 4*j + 108. Calculate the remainder when v is divided by g(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15477696.\nAnswer: 2, 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 488360?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(704) + 2 + -1 + -4))**2*3.\nAnswer: -3600*sqrt(11) + 53475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2. Let p(i) = 13*i**2 + 6*i**2 - 20*i**2. Calculate m(p(a)).\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g. Let f(s) = 19*s - 3. Let m(d) = -6*d + 1. Let c(u) = 2*f(u) + 7*m(u). Determine c(q) + 2*l(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 13*p + 25. Let q be i(-10). Sort -1\/3, q, -2 in decreasing order.\nAnswer: -1\/3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 - 110?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**2 + 10*x - 16. Let y(c) = 3*c**2 - 11*c + 15. Let j(u) = 2*o(u) + 3*y(u). Let l(k) = -3 - 5 - 1 + 9*k - 2*k**2. What is -5*j(m) - 7*l(m)?\nAnswer: -m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 559, 1972, 4769, 9424?\nAnswer: 16411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*h - 11 = x, -963*h + 488*h + 474*h + 15 = -5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1*sqrt(320)*-5 - sqrt(320) - (-2 + -1 + sqrt(320) + sqrt(320)))*-6)**2.\nAnswer: 3456*sqrt(5) + 46404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47159838 and 235799190?\nAnswer: 235799190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 - 7*a**2 - 4*a + 13. What is l(-3)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**6\/120 + 3*j**5\/10 + 2*j**4\/3 + 13*j**3\/6 + 99*j**2. Suppose 68 = -5*z + z. Is f(z) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.113 - -0.1131181. What is h rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -103878250, -103878252, -103878254?\n\"Answer: -2*q - 103878248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -271*p**5\/60 + 65*p**4\/6 + 511*p**2. Find the second derivative of l(d) wrt d.\nAnswer: -542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/1*(-14)\/(-4). Suppose -b*u + 7*u + 917 = 0. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 0 + 7\/2*o**2 + 1\/3*o**3 + 102*o. Suppose 2*k - c + 9 = 0, 4*c = -k - 22 + 4. Determine r(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2116891, 4233779, 6350667, 8467555, 10584443, 12701331?\nAnswer: 14818219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 654978 by -3.\nAnswer: -218326","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*h = -20, -15*h + 20*h - 15 = 0. Let n(w) = w**2 - 9*w - 5. Give n(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/4 or 1\/73617389?\nAnswer: 1\/73617389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 531, 35, -3, 5 in increasing order.\nAnswer: -3, 5, 35, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3156053 - 2*g**2 - g - 3156225 - 2*g**2 to the form z*g + p*g**2 + s and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**3 + 6*z**2 + 80*z wrt z?\nAnswer: 6*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 631*z + 60 = 1293*z - 647*z. Let r = -0.3 - -0.2. Which is the closest to r? (a) z (b) -4 (c) -16\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 3*j = -4, 2*l + 23*j = 26*j - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**5\/4 + 1373*t**4\/4 - 83197*t**3\/4 - 5576509*t**2\/4 + 3434138*t - 2019556 = 0. Calculate t.\nAnswer: -316, -44, 1, 7\/5, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1187.011789 to the nearest 10.\nAnswer: -1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 7521009.5 to the nearest ten thousand.\nAnswer: 7520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g**5 - 4*g**5 + 0*g**5 + (3*g - 5*g - 5*g)*(-129*g**3 + 129*g**3 + 9*g**4) - 23*g**5 + 4*g**5 + 5*g**5.\nAnswer: -75*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 798 - -3641. List the prime factors of w.\nAnswer: 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**5\/5 + 5706*y**4 - 102493174*y**3\/5 + 5298942478*y**2\/5 + 189987550896*y\/5 + 1348323791672\/5 = 0.\nAnswer: -13, 79, 7106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -84, -126, -166, -204, -240?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27844 - 27843.7. What is the nearest to 2\/5 in u, 0.053, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 9714, 4\/9 in ascending order.\nAnswer: -5, 4\/9, 3, 9714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 16 = -h. Let d be -3*2*3\/(-18). Let k be d\/1 + 1 + h. What is the third smallest value in k, 1\/5, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551?\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012693161 rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/5 + 6358*n**2\/5 - 294408*n\/5.\nAnswer: -2*n*(n - 3132)*(n - 47)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*(x\/(x\/(x\/x**(-2\/5))))\/x)**42)**5)**30)**(-12) assuming x is positive.\nAnswer: x**(-105840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137519259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2350 + 9229. What is the thousands digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 836875 and 4223?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49116050 is divided by 1067740.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 875*r**2 + 885*r**2 - 1764*r**2. Let n(o) = o - 581. What is n(j(a))?\nAnswer: -4*a**2 - 581","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*h + 774597 - 791845 = 0 for h.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*w + 35 = -149 - 491 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(15) + sqrt(45)\/sqrt(3)))\/(sqrt(3) + sqrt(12)\/sqrt(4)*-4 + sqrt(3)))**2 + (1*3*sqrt(720)*1)**2.\nAnswer: 6500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6293, 4, 3406 in ascending order.\nAnswer: -6293, 4, 3406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1037 + 1056.09. Let m = -3.09 + v. What is the third smallest value in -5, -2\/5, 1\/5, m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*(((-96)\/15)\/2)\/((-180)\/6750)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/((-133)\/10)*14\/(-8).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + 2 + 6*sqrt(7) - ((sqrt(252) - (sqrt(252)*1)**2) + 4)).\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 7*v + 33. Calculate c(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5535321 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-3)*15\/(-10) - -9. What is the highest common divisor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 318 divide 646843898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**11))\/(b\/b**(1\/11)) assuming b is positive.\nAnswer: b**(-131\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 805 + 0*p - 805 - p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 340 = 34*g - 30*g, -864 = 5*v - 3*g. Let y = -172 - v. Solve k - 1 = z, -4*k + y*k + 5*z + 17 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q - 30 = 0. Suppose -q = j - 37. Suppose -4*x = -4*y - 8, 4*x - 10 + 2 = -3*y. What is the greatest common divisor of j and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q - 316. Suppose -4*i + 3*r - 4*r + q = 0, i + 3*r - 17 = 0. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(3\/5))\/c**25*c*c*c**(2\/9)\/c*c*c*c**16 assuming c is positive.\nAnswer: c**(-188\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 10 + 0 - 2 + 0 + (3 - 1 - 1)*(1 - 5 + 3))*(-1 - 2*u + 1).\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001161783 to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 4:45 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21964040.\nAnswer: 2, 5, 7, 47, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-37)\/(-2)*(-7)\/((-14)\/20). Let h = i - 71. Does 38 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 + -44. Calculate the greatest common divisor of g and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 150 or 683160?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573 - 573 - h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 6:15 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 14)*(-4)\/8. Let a(x) = 4 - 11 + d - 8*x. Let h(i) be the first derivative of i**3 + 14. Give h(a(q)).\nAnswer: 192*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2))**(1\/3)\/((w\/(w*w**(-5\/4)\/w)*w*w)\/(w\/(w*w\/(w\/(w\/(w*w**4)))*w))) assuming w is positive.\nAnswer: w**(-19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 14*q - 8. Let b be v(-14). Let p be b\/((-26)\/(-7) + -4). Let w = p + -24. Solve w*y - 11 = 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1 = 7. Suppose 0 = 5*k + 2*f - 21, f + 8 = -m*f. Calculate the greatest common divisor of k and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (44 + -51 - (-14 + 1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/25)\/i)\/(i**(2\/23)\/i)*i**(-7)\/i**11 assuming i is positive.\nAnswer: i**(-10446\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -5, 223 in decreasing order.\nAnswer: 223, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2\/11, 2\/7, -23, 8?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a + b7?\nAnswer: e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -437 divided by 713.\nAnswer: -19\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**3\/6 + 9300*r**2 + 2*r. Let u be 2\/(-8) - 6\/8. Let k(o) = o. Let n be k(-3). Let v(t) = t + 3. Determine n*c(i) + u*v(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1292 + 1296. What is the highest common factor of 206 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + (-2 + sqrt(243) + -5 + sqrt(243) - sqrt(243)) - 4*(-1*sqrt(243) + sqrt(243) + -3)))**2.\nAnswer: 1296*sqrt(3) + 2763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 0) + (-27 - -9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.237 - 0.116. Let j = 5.121 - r. Sort 3\/4, -0.4, j, -3\/5.\nAnswer: -3\/5, -0.4, 3\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011000101111011010 (base 2) to base 8.\nAnswer: -1305732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 8 = -6*i. Let k be (4 - i)*(-3)\/2. Let a(t) = -2*t**3 + t**2 - t - 2. What is the remainder when a(k) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -6861.\nAnswer: 1\/2287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -19580718\nAnswer: 5\/19580718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fb3f36 + -a?\nAnswer: fb3f2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.1 (b) -0.0839 (c) 0.9 (d) -0.3 (e) 1\/5 (f) -24 (g) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15932 by -12989.\nAnswer: 15932\/12989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79539 (base 10) to base 13.\nAnswer: 2a285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r**2 - 2. Suppose 4 = 2*g - 3*i, 2*g - i - 8 = i. Suppose 0 = -w - 10 + g. Calculate f(w).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4765569794 + -4765569824.40000241. Let p = n + 30.4. What is p rounded to 7 decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1020*b + 1768 = -1072*b for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from {c: 1, t: 1, y: 1, b: 1, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(68))**2.\nAnswer: 20*sqrt(17) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.1 - -2. Let i = -13\/6 - -103\/42. Let p = -1.2 + 0.2. Which is the second smallest value? (a) i (b) w (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -7. Suppose -b + f*b = 0. Let g = 0 - -2. Solve -c - g*c + 6 = b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 4:38 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - -5.7. Let i = -6 + 8. Let f be (4\/(-8))\/(i\/20). Put 1\/4, n, f in descending order.\nAnswer: n, 1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/7)\/u)\/(u**(1\/2)\/u) assuming u is positive.\nAnswer: u**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, j: 2, p: 4, t: 3}. Give prob of picking 2 j.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 208 + -3122\/15. Let h = -58.38 - 0.62. Let g = h - -63. Which is the third smallest value? (a) 2\/7 (b) r (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 8\/3*o - 4\/3*o**2 + 5 + 2\/9*o**3. Factor x(q).\nAnswer: 2*(q - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -2 - 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*y**2 + 17*y**2 + 17*y**2 + 14*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)\/j*j**(4\/3)*(j**4\/j)\/((j\/(j*j**5*j))\/j))\/((j**(2\/9)*j*j**(1\/9)*j)\/(j*j**(-1\/3)\/j)**49) assuming j is positive.\nAnswer: j**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*(h*(h*h**(1\/16)*h)\/h*h)\/h))\/h**3*(h\/(h*h**13)*h)\/(h*h**(-1\/2)))**(-18\/7) assuming h is positive.\nAnswer: h**(2385\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p - 46. Let w be n(13). Suppose -5*v = 10, -3*v - w = 5*k + v. Let q be (-3)\/(75\/k + -3). Does q = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -225*d**2 + 32*d**2 + 227 - 82*d**2 - 227. Let s(v) = 7*v. Determine s(z(a)).\nAnswer: -1925*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -23124?\nAnswer: 23132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189 and 10017.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 - 3594*p + 41*p**2 + 3594*p to the form m*p + z*p**2 + j and give z.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11938627 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -1. Let b(w) = w**3 - 3*w**2 - 3*w - 5. Let v be b(o). What is the units digit of (-24)\/(-6)*v\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2 + 1 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 126606 in 0.4, -3\/2, 0.5, 2\/19, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -20*b + 25. Let x(v) = -v + 1. Let u(w) = -q(w) + 25*x(w). Let k(p) = -3*p**2. Give u(k(z)).\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 19 = 3*w, -4*s - 5*w + 40 = -2*w. Let j(y) = 30*y + 1. Calculate the remainder when j(2) is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + k - 4*k**2 + k**2 - k**2 - 26 + 3*k**2. What is the remainder when 285 is divided by n(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9610 and 95029570.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + 2*k + 3*k)*(5115 + 65834 + 34959 + 48191) as l + u*k and give u.\nAnswer: 308198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.671 - -0.03. Let u = a + -0.101. Sort 1, u, 4 in increasing order.\nAnswer: u, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - (3 + -1)) + 9 + -8. Solve -m = -b + s, -46*b + 47*b = 2*s + 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -4 - 2 - (-3 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570615 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6782341 > -6782305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264417 is divided by 88091.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2030, 8533, 15036, 21539?\n\"Answer: 6503*i - 4473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3)*r)**(-46)\/(r**(-2\/7))**46 assuming r is positive.\nAnswer: r**(-46\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022753630 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = o - 3*o. Let a = 11 - 7. Suppose 7 = -v + a*h, -v - 5*h + o = -2*v. Solve -v = -6*z + z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-2 + 4*3). Let c be 156\/10 + (-8)\/t. Solve -b = 3*b + c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 1:41 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3\/9 - 92*u**2\/3 - 580*u\/9 + 284\/3.\nAnswer: 4*(u - 71)*(u - 1)*(u + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 4 - 1 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-5))\/(((-22)\/(-6))\/11)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 768416.3 litres?\nAnswer: 768416300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 9*m**2 + 13*m - 2. Let a be c(8). Suppose 6*w - 354 - a = 0. Suppose -w = -2*q + 4*h, q + 7*h - 62 = 3*h. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/34*(-234)\/400 and 23\/72.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*l**5 + 32*l**4 + 24*l**3 - 32*l**2 + 4*l = 0.\nAnswer: -1, 0, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*1 - 3\/((-6)\/7737064). Let q = y + -58055273\/15. Let h = q + 1818. Calculate the common denominator of 23\/3 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2641 and 339302?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 37.9. Let j = -306 - -306.4. What is the closest to v in 0, -0.4, j, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 5*p + 5. Let z be n(-4). Let g = 1353\/28097 + 34458689\/95445509. Let q = g + -36\/79. Which is smaller: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (4 - 2) - 2. Let p(c) = c**3 - 21*c**2 + 34*c + 74. Let h be p(19). Let t be 6 + h + d + 4. What is the highest common factor of 50 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/2, -0.0183, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -9. Let p(w) = -9 - 10*w - 3*w**2 + 0*w**2 - 2*w. Let t(y) = -y**2 - y + 1. Let h(i) = n*p(i) - 2*t(i). What is h(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7961346 to the nearest integer?\nAnswer: 2822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2. Let s be 1*(5 + 1 + 0). Let m(a) = a**2 + s*a - 6*a - 4*a**2. Give i(m(g)).\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -85262 - 2?\nAnswer: -85264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 - 199927.6.\nAnswer: -199927.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -806305 >= -806325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 29.4. Let p(u) = -u**2 - u + 4. Let i be p(-4). Let y be ((-6)\/i)\/((-1)\/(-4)). Sort 2\/9, y, f in increasing order.\nAnswer: f, 2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 773911 is divided by 62?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from cccjczczmzuz?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t + 6. Suppose 3*z + 4*a = 136, -136 = -3*z - 2*a - 8. Suppose -4*w = -4*b - z, -6*w + 2*w + 28 = -2*b. What is u(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*k + v - 10, 45 = -5*k - 3*v. Let f be (k\/4)\/(-2 - -5). Which is the third smallest value? (a) 0 (b) f (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t + 2*t - 3*t)*(-2 - 1 - 3) in the form f + l*t and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/(-82)*0*2\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.777 - -25.32. Let s = 126 - 124.6. Let d = s + x. What is d rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*g = 158*g - 8. Solve g*p - 7*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1442200 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/108)\/((-800)\/240))\/(2\/(-6))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18475 - 18475 + 22*l)*(-1 + 9 - 1) to c + o*l and give o.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30193\/3 or 5?\nAnswer: -30193\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d - 21. Let y(u) = -u + 4. Calculate -4*w(c) - 20*y(c).\nAnswer: 12*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -15832485?\nAnswer: -15832484.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1052 is divided by 990.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 498119 at most as big as 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 49041.85ng in micrograms?\nAnswer: 49.04185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26616812 to the power of 1\/2, to the nearest integer?\nAnswer: 5159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 6437*r**2 - 4 - 3*r**3 + 4 - 1058508*r + 2873*r**2 = 0.\nAnswer: -594, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*n - 3 = 0, n = -5*t - 16 - 9. Let i be 3 + 2 + t - 6. Let r = i - -7. Solve -z = -r*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.42 + 9. Let u = 0.12 + v. Suppose -2*g + 4 = -6*g, g - 7 = -2*r. Which is the third biggest value? (a) r (b) u (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -1*(-2)\/1. Solve 5 = -5*u - 5*q, -u = q + 2*q + d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 5\/3, -1\/5, -2\/5, -3\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3843980 is divided by 140.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/91)\/(24\/(-156)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/9, -5\/3, 1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -1\/2 (c) 17\/10 (d) -4 (e) 33 (f) -5 (g) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l**(11\/5)*l*l)\/l)**(15\/8) assuming l is positive.\nAnswer: l**(63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -8. Suppose 70 = q + v*q. Let d = 16 + 6. What is the smallest common multiple of d and q?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(375)*-6 + sqrt(15) + 1*2*sqrt(15))\/((sqrt(75) + -3*sqrt(75))*-4 + (sqrt(75) - (sqrt(75) - -6*sqrt(75)*-3) - sqrt(75) - sqrt(75))).\nAnswer: -9*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pewweeww. What is prob of sequence peww?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3094*c*n**2*x + 35293*c*n**2 + 2*c*n*x - 12*c*n + 2*c*x + 3*n*x - 2524*n - 9*x - 1 wrt n.\nAnswer: 6188*c*x + 70586*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -197, -389, -579, -767, -953?\n\"Answer: p**2 - 195*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z + 0*z + z)*(-21 + 56 - 1) in the form s*z + i and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14, -19, -74, -151, -250, -371?\n\"Answer: -11*b**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 970 = 3*c, c - 189 = 5*s + 139. List the prime factors of c.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 479993, 960255, 1440519, 1920785, 2401053, 2881323, 3361595?\n\"Answer: a**2 + 480259*a - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307*n**3 + 95*n + 67*n - 162*n.\nAnswer: 307*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - b - 15, 0*b + 8 = -i - 2*b. Let c be i\/9 + (-356)\/(-18). Suppose 0 = 4*m - c - 0. Solve m*f = -19 - 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106*c - 33 + 22 + 8)*(0*c + c + 2*c).\nAnswer: 318*c**2 - 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1690 divided by -1690.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -209*f**2 - 9 + 416*f**2 - 208*f**2 + 7*f. Give l(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2 + (6 - 11) + -1 + 6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/5 and 14\/3067.\nAnswer: 15335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6540 + 6486.74. Let y = -53 - b. What is y rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 3:03 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1868 - -1844.33. Let k = s - -0.67. Let g = 23.09 + k. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 77*j**2 + 2*j**5 - 77*j**2 + (3*j + 2*j - 3*j)*(3*j - 2*j**4 - 3*j) - 4*j**5 + j**5 + j**5 + (-2*j**3 + 3*j**3 - 2*j**3)*(-5*j**2 + 3*j**2 + 0*j**2).\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -380, 2, -2, 3, 5 in ascending order.\nAnswer: -380, -7, -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -244?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*y + (0 - 3 + 2)*(0*y + y - 2*y) - 10*y + 9*y - 11*y + (-1 + 1 - 2)*(3*y + y - 3*y) - 1 + 1 - 2*y)*(2*y - 5*y + y).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.437741 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84.4 + -84. What is the nearest to 3 in c, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -45.9 and -3359.\nAnswer: -3404.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 1 - 13\/(-5))*3\/(-9)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.049 - 0.159. Let r = x + 0.0225. Let v = 0.09 + r. Round v to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j - 31. What is the smallest common multiple of y(-6) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**15\/(c\/c**14)*(c\/c**(-2\/3))**(-17) assuming c is positive.\nAnswer: c**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 21*w - 1. Suppose 5*f + 4*h = -99, -2*f - 26 = 2*h + 12. Let o = f - -44. Let l(p) = 2*p + 0*p - 21 + o. Calculate i(l(z)).\nAnswer: 42*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 20*d**2 + 24*d - 24. Let a(t) = 4*t**2 + 5*t - 5. Let o(l) = 24*a(l) - 5*y(l). Let p(f) = -9*f**2. Give o(p(j)).\nAnswer: -324*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**5\/30 - c**4\/12 + 2*c**3\/3 + 24*c**2 + 32*c + 1. Let s(w) be the first derivative of d(w). Calculate s(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -142 - -155.1. Let b = -23.2 + j. Let v = -3.9 + b. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 2*v + 6, 2*v + 6 = -5*y - 0*v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k - 5. Let t be s(-10). Let y be t\/18 + (5 - (-230)\/(-60)). Determine o so that 2\/3 - 50\/3*o**3 + 70\/3*o**y - 22\/3*o = 0.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -400 - -400. Let l(c) = -c**3 - 2*c**2 - 4*c + 89. Calculate the remainder when l(y) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -1\/10*m**3 - 3\/5*m**2 + 29*m + 0 + 3\/100*m**5 + 1\/10*m**4. Determine l, given that k(l) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -9\/11*j**4 - 13\/11*j**2 + 4\/3*j**3 - 1\/33*j**6 + 6\/11*j - 37 + 14\/55*j**5. Solve m(x) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -36 (b) -1 (c) 0 (d) 2 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 950 divided by 5.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*-1)**2 + sqrt(68)*-3 + (sqrt(17) - (sqrt(1700)*2)**2 - (5 + -2*sqrt(17))).\nAnswer: -5428 - 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/((-1165)\/165 + 7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 6:11 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 0*j - 30. Let b(d) = -10*d - 2. Calculate the remainder when b(j) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -229 - -255. Suppose -w*v + v = -500. Solve 18*o - v = 13*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1, 44, 199, 524, 1079, 1924?\n\"Answer: 10*v**3 - 5*v**2 - 10*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - 1366?\nAnswer: -1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/(-12)*(-12402)\/(-11925)*40\/26.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m**3 - 2*m**2 + 3*m. Let v be u(-4). Suppose -2*w - 38 = 4*t - v, -5*w + 3*t + 530 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = -14*f + 22. Suppose 3*c = 4*b - f, -1 = 4*b - 2*c - 11. Let k(p) = 2*p - 2 - 2*p**2 - 2*p - 4*p**b - p**3 - p. Calculate k(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2212*a + 7924 - 160552 = 0 for a.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-244*m + 69*m - 1567*m)*(-m**2 + 158 - 158) as w*m**3 + g*m**2 + z + f*m and give w.\nAnswer: 1742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.3, 1, 29\/6 in ascending order.\nAnswer: 0.3, 1\/3, 1, 29\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 5:43 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 7*v - 6*v - 394, -2*v = c - 761. Solve -402 = 5*f - v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*i + 93. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -426 and -1.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**4*w**2 + 2*m**2*w - 4*m*w**3 + 2*w**3 + 29 wrt m?\nAnswer: 8*m**3*w**2 + 4*m*w - 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - q = -0*d - 16, 0 = 2*q - 2. Let z be d\/(-4) - (-63)\/84. Factor -5*y + 10*y**z - 11*y**3 - 4*y**3 - 10 + 20*y**3.\nAnswer: 5*(y - 1)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*-2*sqrt(204) - -6*(-1*sqrt(204) - sqrt(204) - sqrt(204)))\/(-6*1*sqrt(192)).\nAnswer: -5 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 23\/5 + (-104)\/(-260). Suppose s*u - 77 - 1 = 0. Calculate the remainder when 141 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2 - 837*o + 3332 = 0. Calculate o.\nAnswer: 4, 833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 8:06 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 745097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**4\/4 - 4*d**3 + 3*d**2\/2 - 31*d - 232. Give z(-13).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a - 1. Let u be h(-1). Let i(r) = 3 + 2*r + u - r. Is i(0) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/19 and -59\/158.\nAnswer: 3002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 151. Let k = -22003\/90 + 1196\/5. Calculate the common denominator of (-3)\/(-6) - l\/(-10) and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*x = 87*x - 39629. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -256*f - 1795. Give g(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 23455, 3 in increasing order.\nAnswer: 2, 3, 5, 23455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from cbbcvbbbbvibbbcbbyib?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4317 is divided by 154.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -5, -2772 in ascending order.\nAnswer: -2772, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139165?\nAnswer: 5, 13, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60992367?\nAnswer: 3, 109, 383, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/155)\/((-2 - 1)\/(-18)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -15 - (9\/3 + -6). Let x(w) = -w + 20. Is 8 a factor of x(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 416951 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from {r: 2, b: 5, x: 3, a: 3, l: 7}?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113 + 141 - 368 + 3*d**2 + 114.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771995 is divided by 8292?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 104*s**2*y**2 - 3*s**2*y + 762*s**2 + 814702*s*y**2 + 3*y wrt s?\nAnswer: 208*y**2 - 6*y + 1524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13928 and -0.2.\nAnswer: -2785.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 - a**2 + 5*a**3 - 3*a**3. Let m be b(-1). Let w = 2 + m. Is w less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y + 5. Calculate q(-9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 98*f + 1592. Let b be w(-16). Solve b*x + 95 = 263 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-9)\/2) + (-22386)\/378. Let z = c + 71. Calculate the lowest common multiple of ((-6)\/15)\/((-2)\/10) and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 352, 931, 1730, 2743, 3964, 5387?\nAnswer: 7006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*z**3 + 8*z**3 - 17*z**3 + 2*z**5 + 4*z**2 wrt z?\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/1765795?\nAnswer: 4\/1765795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 7\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g. Let d(v) = 2*v - 4*v - 1 - 5 + v**3 + 3*v**2 + g*v**2. Let l be d(-3). Solve 2*n + n = l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 - 90*p - 58 - 59*p + 6*p wrt p.\nAnswer: -143","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1260 is divided by 1250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52270*o**6 - 76*o**2 - 3*o - 50 wrt o?\nAnswer: 6272400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23355 is divided by 113?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/80*2*137\/1918*-336*5?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - 4*(-4)\/(-16)*1. Let k = 7 + u. Solve -4*r + 2 = k*h - 2*r, r = -3*h + 9 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17191 divided by -275\nAnswer: 17191\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 262 + 311 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*v = 332*v + 2*k + 22, k + 1 = 0 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13.66*2939.2\nAnswer: -40149.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*f. Suppose f*v = 5*v. Let n(c) = 0*c**3 - 2*c**2 + v*c**3 + 3*c**2 + c**3. What is n(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**5\/5 - 5*q**4\/2 - 28*q**3 - 92*q**2 - 128*q + 311. Determine l, given that p(l) = 0.\nAnswer: -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(931) + -1 + sqrt(133)\/(sqrt(112)\/sqrt(4)))*-5 + 0 + -3)**2.\nAnswer: 1725*sqrt(19) + 108991\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) -1 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1174228?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55475 is divided by 276?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/29218 and 67\/2.\nAnswer: 29218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2527\/4 + 619. What is the common denominator of v and -53\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5)\/(o\/(o**(2\/39)*o*o)) assuming o is positive.\nAnswer: o**(-154\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b + 7 - b**3 + 3*b**3 + 11*b**3. Let x = -5 + 13. Let z be 3\/2*x\/6. Let k(s) = 4*s**3 + 2*s + 2. What is z*g(p) - 7*k(p)?\nAnswer: -2*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -159 - -189. Calculate the remainder when f is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 568 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -11*n**2 - 7*n + 0 + 16 - 2 + n**3. Is 15 a factor of k(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 - 10130011322?\nAnswer: -10130012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(243)*-3 - (sqrt(243) + (sqrt(243) - (1 + sqrt(243))) + 2))**2.\nAnswer: 288*sqrt(3) + 62209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 + 45 + 182 = -67*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 (base 9) in base 12?\nAnswer: -a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 93. Let c(p) = -163*p**2 + p + 84*p**2 - p + 85*p**2. Give f(c(i)).\nAnswer: 6*i**2 - 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -301 - -621. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.196165676 to 3 decimal places.\nAnswer: 13.196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n**2 + n + 1. Let i be p(2). Suppose 5*r + i = 2*u - 37, 0 = 3*u - 2*r - 113. Let h(z) = 4*z + 4. What is the remainder when u is divided by h(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f + 4*f + 3*f - 1 + (80 + 26 - 4)*((-3 - 2 + 6)*(3*f + 3*f - 7*f) + 2*f - 3*f + 0*f) to the form r + n*f and give n.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**3 - 9*n**2 + 6*n - 1. Let z be l(6). Suppose -3*v + 359 = -5*h + h, -2*h - z = -5*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 34*h**2 + 5*h + 2. Suppose -11*l - 15 = -6*l. Is a(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7135139 is divided by 654.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 2. Let x be r(4). Let f = 31 - 24. Suppose b + f = x*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 e when three letters picked without replacement from xceeeccceeececreeee?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 112*h + 1520.\nAnswer: -4*(h - 10)*(h + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 846647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2181841 is divided by 136359.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1241638\/2535 + -2449\/5. Which is the nearest to -0.1? (a) t (b) 0 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.6 minus 184092996?\nAnswer: -184093014.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 675 = 3*z. Suppose 3*x - z = -0*x. Suppose 5*t - 29 = -2*a, -4*t - 4*a + 2 + 26 = 0. Calculate the highest common divisor of t and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458*g - 63 = 437*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - 5*o**2 + 0*o**2 + (-2*o + 5*o - o)*(0*o + o - 3*o))*(-5*o**3 + 8*o - 8*o) + 0*o**5 + o**5 + o**5 + (-2*o - o + 2*o)*(33 - 33 + 7*o**4).\nAnswer: 25*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8436 - 8432. Solve -50*r = z*r - 108 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 8. What is the common denominator of 58\/(-32) - x\/12 and 101\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 64 + (-1 - 2)*(-3)\/(-9). Suppose 169 - 43 = t*r. Solve -5*n - 4 = -p - 24, 3*p + r*n = -9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -5. Let u be (8\/(-2))\/z*11. Suppose 5*q - 4*o = 51, 40 = 4*q - 2*o - 2*o. What is the greatest common factor of u and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1376\/135 - 15019\/270. Let t = -169\/3 - g. Calculate the common denominator of t and (137\/(-18))\/(1\/(-3)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -25*b**2 + b + 656. Let a(c) = 3*c. Determine a(l(k)).\nAnswer: -75*k**2 + 3*k + 1968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4295 - -0.1795. Put q, -2\/3, -1 in ascending order.\nAnswer: q, -1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**8\/((p**(2\/53)*p)\/p))\/(p**(-1\/2)\/p**7) assuming p is positive.\nAnswer: p**(1639\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7))**34*(l\/(l**(-1\/2)*l))**(2\/5))**(-3\/29) assuming l is positive.\nAnswer: l**(999\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -122, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.5 + 13. Let y = 4 - l. Let i be ((1 - 3) + 2)\/(-3 + 2). What is the third biggest value in 0.4, i, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05783 rounded to three dps?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-72)\/12*1\/2. Let v(r) be the third derivative of r**6\/120 + r**5\/20 - r**4\/6 - r**2. Determine v(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*o**2 - 47*o**2 - 15*o**4)*(-5 - 4 + 7 - 4 - 3 + 6 + 4 - 5 + 2 - 1 - 1 + 0 + (-5 + 3 + 0)*(-2 + 3 + 1) - 4 + 2 + 4 - 4 - 1 + 3).\nAnswer: 120*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 17*n - 4. Let y(s) = 3*s**2. Give y(r(x)).\nAnswer: 867*x**2 - 408*x + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pek when three letters picked without replacement from {z: 5, p: 2, e: 1, k: 3, g: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**5\/60 - g**4\/6 + g**3 + 7*g. Let l(d) be the second derivative of p(d). What is the derivative of l(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30384110 to the nearest 10000.\nAnswer: -30380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -109\/5. Let o = 0.3 - -0.2. Let l = 1 - o. Which is the closest to 0.1? (a) l (b) q (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*r**4 + 8*r**3 + 78*r wrt r.\nAnswer: 144*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b. Let m(d) = 6*d - 2. Let q(z) = -m(z) - 5*y(z). Suppose 5*x + 5862 = -35*n + 32*n, 4*n + 1186 = -x. Let u = x - -1176. Give q(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99332b (base 15) to base 2.\nAnswer: -11011110110011011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -15*n - 2. Let j be i(-1). Let f be -3 + j + 2\/(-2). Let u = 9 - f. Solve u = -2*k - 4*s + 6, 0*s = -s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*u**3 + 16 - 4*u**3 - 31 + u wrt u?\nAnswer: 210*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-48 + 235 - 96)*(-5 - 4 - 2 - 2*a) in the form o + t*a and give t.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 62*z**4 - 35704*z**3 + 172402*z**2 + 22840*z = 0. Calculate z.\nAnswer: -4\/31, 0, 5, 571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**2 + 15*q - 104. Calculate the smallest common multiple of g(5) and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 5*l. Let u be t(5). Suppose u = 2*h - 6*h + 20. Let j(x) = -26*x + 1392. Let f be j(54). Put h, f, -2 in decreasing order.\nAnswer: h, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0703? (a) 0.3 (b) 1 (c) -16 (d) 5\/2 (e) 1\/7 (f) -361\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = 9*x + 297. Let i(g) = -g - 11. What is i(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-1 - (-5 + -3)) - 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-6) + 713\/(-345).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xsshhssshssssxshsxsx. What is prob of picking 2 h?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 s when four letters picked without replacement from ddsjddddjdsd?\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 9*x**2 - 9*x - 16. Calculate l(6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w - 7. Calculate r(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-74)\/(-6))\/(14\/(-66)). Let g = x - -58. Let q = 0.8 - 4.8. Which is the nearest to 1? (a) q (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -608257541615 - -0.8.\nAnswer: -608257541614.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7892915 is divided by 351.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9)\/(s\/(s\/(s**(4\/13)\/s)))*(s\/((((s**(2\/3)\/s)\/s)\/s*s)\/s))**(27\/5))**(-38) assuming s is positive.\nAnswer: s**(-4788\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49 + 227 - 37204*b - 178 - b - 2*b + 2*b + (0 - 3 + 4)*(2*b + 0*b - 3*b) - 2*b + 1 - 1.\nAnswer: -37208*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*j - 27 = 505*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - u**2 - 1 - 2*u + 2*u**2 + 21*u**4 - 19*u**4 to the form q*u**3 + g*u**4 + a*u + v + x*u**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -19 + 7. Solve -2*j - 8 = 0, 5*p + 10 - 1 = r*j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*z - 551*z - 101 = -963*z + m, -5*m = z + 37 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2862379 greater than -2862354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-8 - -3) - (12 - 4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -0.85. Let t = 68 + -67.73. Let s = d - t. What is s rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -18. Let t be 10\/(-5) + k*2. Suppose -2*x + t = -0*x. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 350, 352, 354?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.4 - 0.4. Let m = f + -9.85. Let r = -0.63 - m. What is r rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 11*w**3 + w - 2. Let h = 46 + -44. Let k be z(h). Let b(a) = 6*a**2 - 2. Let m be b(-2). Calculate the highest common divisor of k and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/45 - (28\/(-9) - -1). Solve -l = -m*l, y = 2*l - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1004578862*n**3 + 282428351*n wrt n?\nAnswer: -6027473172*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 0 + 0*b**3 + 2*b + 0*b**2 - 1\/4*b**4. Let y(r) = 3*r. Calculate y(m(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-22 + (-8 - -12) - (-16 - -12)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -604, -1225, -1884, -2599, -3388, -4269, -5260, -6379?\n\"Answer: -3*h**3 - h**2 - 597*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -823*n - 571. Does 43 divide z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -0*o - 15. Solve o*x + 4 = -8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 23*g = 4*g + 26*g + 1166 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(((d**(2\/15)*d*d)\/d)\/d)*d**(-1\/13))**(-1\/14)\/(d**(-6)\/(d*d**(-7)*d*d)*d**6\/((d*d**(-1\/7)*d)\/d)) assuming d is positive.\nAnswer: d**(-8929\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w - 25. Let u be n(10). Suppose u*j - 4*o = 276, -4*o + 4 = -5*o. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 331 or 9576\/29?\nAnswer: 9576\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**6\/8 + 3*m**5\/20 + 27*m**4\/16 - 13*m**3\/4 - 3*m**2 + 9*m + 13. Suppose q(v) = 0. Calculate v.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2 - 0. Suppose -5*a + 178*o = 174*o - 23, 3*o = -4*a - 25. Sort x, a, 5 in descending order.\nAnswer: 5, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131120521 divided by -5?\nAnswer: 131120521\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/488947?\nAnswer: 1\/488947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/7557 and 62\/261.\nAnswer: 657459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29833352*v - 43689292?\nAnswer: 29833352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 37. Suppose 0 = 2*b + n + 3, 0 = -4*b + 4*n + 13 - 1. Suppose b = -u + 43 - 9. What is the remainder when u is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -3, -0.06, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 221887386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 3*s + 12. Suppose 0 = -3*b + 9 - 3. Suppose 3 = -4*i - b*l - 5, -17 = 3*i - 4*l. Sort 0, s, i in descending order.\nAnswer: s, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/4 (b) 59 (c) 1 (d) -3\/5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mune when four letters picked without replacement from unzmooezeenzn.\nAnswer: 3\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 12:46 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 3856021, -2, 3\/4?\nAnswer: 3856021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 288 = 10*i - 424. Solve -2*k - i = 0, -3*k + 4 = 3*t + t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -202104 - -202108. Let k = 0.8 - 1. What is the nearest to 1 in a, 0.2, -3\/5, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -7*f**3\/2 - f**2 - 105*f. Let w(n) be the third derivative of -n**5\/30 + 7*n**2. Determine k(w(p)).\nAnswer: 42*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v = -20*v - 8*v - 86*v - 5130 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.811448 + -0.506?\nAnswer: 4.305448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 + 14086\/(-4))\/(8\/(-16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 902812*u**3 - 451172*u**3 - 451644*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14\/9 - -26\/9. Which is the nearest to -2\/5? (a) -0.1 (b) 3\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + m - 5*z - 37, -8 = -2*m - 5*z. Suppose -m + 54 = -3*b. Let i be ((-1)\/6)\/((-10)\/b). Is i not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 95856400*h + 663855466 wrt h?\nAnswer: 95856400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 294 + -172. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**6\/15 + 3*l**5\/10 - 4*l**3\/3 + 25*l. Solve t(k) = 0 for k.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 3406 = -5*y + 3401 - 6688, 8*u - 4*y = -37 + 337 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12456, 12463, 12470, 12477, 12484, 12491?\n\"Answer: 7*k + 12449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.75 and 210254.\nAnswer: -367944.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/12)\/(375\/(-100))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -79 (b) 2 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -17 + 5 - q**2 + 0 + 7*q. Let w be d(5). Is 29 a factor of w + 0 - 33*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 1 - 27*m - 20*m + 48*m. What is x(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkns when four letters picked without replacement from {k: 3, s: 3, d: 1, j: 4, n: 3, z: 1}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, r: 1}. What is prob of sequence jj?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 13. Let y = l - -10. Let p = 5 - y. Which is the smallest value? (a) -4 (b) 0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 24*i**2 + 29*i - 11. Let v = 38 - 60. Let m be j(v). Suppose 4*l + 4*r - m = 209, -2*r - 653 = -5*l. What are the prime factors of l?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-2 + 5 + 3 - 0 - 7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 805139036 to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, q: 1, r: 12}. Give prob of picking 2 s and 2 r.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8259923 rounded to 3 dps?\nAnswer: -1.826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*t - 9. Solve -t*x + 3 = -i + 12, 5 = -5*i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.6 - 4.6. What is the closest to 2 in -3\/2, l, -1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s + 35. Let v be -10*25\/(2625\/126). What is f(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13 + 0.43. Which is the second smallest value? (a) -6 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139 + 1751185.\nAnswer: 1751324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*j + 478*j**2 + j**3 - 2*j**3 - 2 - 478*j**2 + 6*j**3 to the form c + m*j**3 + d*j + s*j**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92 and 6?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2413\/2 + 57871\/48. Calculate the common denominator of x and 131\/2508.\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 50 = 4*z, -4*h - 2*z + 56 = 6. Let x be (-2)\/11 + 40\/(-22). Let i be x*(-29 + (1 - 2)). What is the highest common divisor of i and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*o + 5 = 0, 20 = -o - 4*o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57591479?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.89*23.4.\nAnswer: 395.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -214.2 + 212. Let s = c + 4.6. Do s and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 4*v**2 - 2*v + 3. What is h(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8127, -16300, -24471, -32640, -40807?\n\"Answer: f**2 - 8176*f + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.43 and -0.11.\nAnswer: 0.0473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/522135 and 65\/69618.\nAnswer: 1044270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-51) + 2 + 64\/(-34). Solve g*d + 5*d - 5*t = 15, 2 = -4*d - 3*t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 2 + 16\/(-7) - 9856\/(-539).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-156)*-1*3\/6*-12.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzz when three letters picked without replacement from zkzkkzzkkz?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 10:25 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13181161 < 13181156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10881068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001205894 to 5 dps.\nAnswer: 0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: e3302 (base 16) to base 5\nAnswer: 214234222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 1:53 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**5\/2 - 5*u**4 + 5205*u**3 + 76460*u**2 + 274595*u\/2 + 66045 = 0. What is u?\nAnswer: -37, -14, -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Let x(a) = -a**2 + 2*a + 1. Let g(r) = -r**3 - 4*r**2 + 5*r + 2. Let q(o) = -g(o) + 2*x(o). Calculate the remainder when 41 is divided by q(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i + 54. Let s be y(19). Let t be -15*(0 + s\/((-30)\/(-4))). Calculate the highest common factor of 9 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeieeei. What is prob of sequence iiei?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = -0*w. Suppose 21 + 18 = w*r. Let s = 102 - 53. Calculate the remainder when s is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/5)*t*t**7)\/(t**(-1\/7)\/(t*t**1))*((t*t**(-2))\/t*t**(-2))**(-2\/69) assuming t is positive.\nAnswer: t**(24292\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, -21, -44, -77, -120, -173, -236?\n\"Answer: -5*s**2 + 2*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/97 or 1?\nAnswer: 12\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpjj when four letters picked without replacement from ppppjppjpppjpjpppppp?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1610 - 1621. Sort -2, 4, q in descending order.\nAnswer: 4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a - 46 = 27*a + 2*b, -2*a + 29 = -3*b. Let h = a + 382. Is h a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 60658.235 from -11.\nAnswer: -60669.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-3 - -9) - 23.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4894770833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4, -5*x + 1768 = 7*a - 5*a. Which is greater: x or 348?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 823.\nAnswer: -5\/823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 12. Let p be r(18). Suppose 0 = k - 112 + p. List the prime factors of k.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 - 6*t**3 + 17*t**3 - 9*t**3 + 4*t - 5*t**4 + 3*t**4 in the form r*t**2 + z*t**3 + l*t + j*t**4 + o and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 1:24 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31431375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*d + 5*d - 8*d)*(-4 + 4 - 8).\nAnswer: -104*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, m: 2, j: 4}. Give prob of picking 3 j and 1 m.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -349 (base 15) to base 11\nAnswer: -617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 16 = -3*s. Suppose 96 = s*h - h. Let i be 9\/6*(-112)\/(-21). What is the highest common factor of h and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - (-133)\/(-2)) + 4. Let j(s) = -3*s**2 - 2*s + 7. Let p be j(-5). Let v = p - w. Which is the nearest to -1\/2? (a) 2 (b) 13 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -157026315 by 465.\nAnswer: -337691","meta":{"dup_signals":{},"source":"arithmetic__div_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: Subtract 1460 from 0.032.\nAnswer: -1459.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 1. Suppose -2*c - 2*a = -3*a - 72, -4*a = c - 27. Suppose -3*v + 0*v + 3*u + 30 = 0, 2*u = 5*v - c. Give i(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 4*o = 0. Suppose 8 + o = 4*z. Let f(t) = 3 + 4*t - t**2 - t**3 + 4*t**z - 2*t - 4*t. What is f(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 10478*d**3 + 9948*d**3.\nAnswer: 20426*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((4 + (sqrt(1584) + sqrt(1584)*1 - sqrt(1584)))**2 + 1*sqrt(1584) + -3 + sqrt(1584)).\nAnswer: 720*sqrt(11) + 9582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1024)\/sqrt(8) - sqrt(2))**2 + (1*sqrt(6))\/sqrt(3).\nAnswer: sqrt(2) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (-30)\/(-6) - 561\/(-18). Let d = t - 65\/2. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8896 - -1.514. Let p = v + 0.36. Round p to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*w + 528 = 1541 + 3307. Put 5, -5, 14, -3, w in ascending order.\nAnswer: w, -5, -3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -21 - 8) + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6427523379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-250 - 1014*o + 250)*(0 - 1 + 0)*((0 + 2 - 1)*(3 + 0 - 4) - 1 + 4 - 2 + 0 + 5 - 4) as c + a*o and give a.\nAnswer: 1014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/6 - 3661*d**2\/6 - 4264*d - 3654.\nAnswer: -(d + 1)*(d + 6)*(d + 3654)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5804143 divided by -10?\nAnswer: -5804143\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w - 15. Determine j(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4. Let y be (r - (-1 + 0))\/1. Solve 3*t + 11 = -2*v, 5*t + 14 + y = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-19)\/(d\/(d*(d**0\/d)\/d)*d))**(1\/12))**20 assuming d is positive.\nAnswer: d**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t = -5*f + 19, -3 = -3*f + 4*t. Let p be 2 - (-4 + (-56)\/(-9)). Which is the third smallest value? (a) 0 (b) 0.5 (c) f (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-8)\/(-12) - 0). Let w(t) = -5*t**3 + 0 + 6*t**n - 2*t + 5*t**2 - 7. Let m be w(-5). Solve 1 = -2*o + m*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 s when three letters picked without replacement from {j: 7, x: 2, y: 3, s: 5}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, v: 2, o: 8, f: 3}. Give prob of picking 2 a, 1 o, and 1 f.\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 33 (c) 4 (d) 41 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 2*y**2 + 2*y - 2. Let l be w(2). Suppose l*k + k = 6. List the prime factors of 2 - (-1 + k + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6813 = 45*y - 36*y. Let z = y - 9844\/13. Suppose -k = -5*o - 2, -5*o + k + 3*k = 8. What is the second smallest value in z, o, -1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 407 - 407. Let m be (2 - -4) + -1 + -3 + f. Solve m = 5*t - 3*h, -6 = 4*h + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/5)\/r)\/r*r**(2\/17)*(r\/r**(2\/7))**(-4\/15)*r**0*r\/(((r**(-6)*r)\/r)\/r)*(r**(1\/3))**37 assuming r is positive.\nAnswer: r**(10984\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-520)\/32 + (-6)\/8. Let k = 20 + f. Solve -m - 23 = 5*w, -8*w - 26 = -4*w - k*m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2682172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by 97124.\nAnswer: -31\/48562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -6.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 (base 14) in base 16?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28212833 is divided by 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 18\/10) + (-10 - -11)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -2 (c) 0.2 (d) -0.5 (e) 1\/976\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340495 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*x = 5*x - 131, x - 265 = -2*p. Let r = -27 + p. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**5*k + 76*i**3*k + 4*i + k - 8 wrt i?\nAnswer: 40*i**3*k + 456*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7 + 3*l + 13 - 16. Suppose -q + 1 = -0*q. Let m(j) = -4*j**2 - 2*j + 1. Let i be m(q). Give t(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4566.3 - 4566. Sort -1, -3, 0.5, x in decreasing order.\nAnswer: 0.5, x, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/9*(-87)\/(-36)*18\/9?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 213119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -37019.39 to the nearest ten.\nAnswer: -37020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 15) to base 10.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from ptttpptt?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120909 = -2388*o - 561*o for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s - s + 12 - 8)*(956*s**2 - 506*s + 506*s) to a*s**3 + q*s**2 + w + n*s and give a.\nAnswer: -956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 647590 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136 - 134)*((-1)\/1)\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 49*n + 65 = 0, -2*n - 283 = 27*g - 32*g for g.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 147 = -149 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5221642 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1032 and 43602?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -3005, 3 in ascending order.\nAnswer: -3005, -23, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d + 7. Let k be m(5). Let s = 35\/2 - k. What is the closest to -1 in 5, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*v. Suppose v*k - 100 = -4*k. Suppose 2*p = 4*h - 14, -2*h + 3*h - 8 = -p. Solve 0*a - 11 = -4*u + a, h*a + k = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 5*h - 9. Give q(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/9 (b) -4\/3 (c) -3\/8 (d) 380.67879\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14060, 56254, 126576, 225026, 351604, 506310, 689144?\nAnswer: 900106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -810 (c) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -11. Suppose -3*m - l = 10. What is the third biggest value in -2\/9, -3\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -125.318262 to the nearest integer.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -325.57 - -327. Let c = -0.03 + s. Let k = c + -1.6. Is k equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 447190 and 861678.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 + -4) - (-7 + 14) - 14.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, z: 1, b: 2, a: 1, e: 2}. Give prob of picking 1 a, 2 e, and 1 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -44*s**3 + 7*s**2 - 8*s - 5. Let x(a) = 44*a**3 - 6*a**2 + 7*a + 4. Let o(n) = 5*h(n) + 6*x(n). Calculate the remainder when o(1) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132539867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -423 + -15454431?\nAnswer: -15455154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fkfkfffpp.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2 - 18*a + 20. Let c be p(5). Let s(x) = 3*x**2 - 17*x - 12. Let j(h) = 4*h**2 - 18*h - 12. Let f(t) = c*s(t) - 4*j(t). Determine f(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 8*u**2 + 12*u - 3. Let n be k(9). Let v = -2898 - -6894. Let m be 18\/21 + v\/42. Calculate the greatest common factor of n and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -15.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000000101010000 (base 2) in base 3?\nAnswer: 1200102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/b**(-3\/5))*b)\/b)\/(b**(-3)*b))**(2\/15)*(b**6*b*b**4)\/(b*b**1)**40 assuming b is positive.\nAnswer: b**(-5161\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.03, 4, -1\/74, -18, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 306 and 7089.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/31*(-674)\/(-2359).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18449 is divided by 18406?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**8\/84 - 8*c**7\/105 + c**6\/6 - 2*c**5\/15 + 14*c**2. Determine g so that k(g) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 - 8*p**2 - 1 + 30*p - 13*p**2 + 4*p**2. Let j = -4192 - -4204. Is a(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23032, 39669, 56306, 72943, 89580?\nAnswer: 106217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + ((sqrt(77)\/(sqrt(28)\/sqrt(4) + sqrt(7)))**2 + 4*sqrt(99) - ((sqrt(110)*1 + sqrt(110))\/sqrt(10) - (-1*sqrt(11))**2*4))).\nAnswer: -207 - 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61850 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -287647 divided by 287647?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923430469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -232, -3, 2\/5, -542?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (270\/(-2520))\/((-1)\/((-4)\/(-6)))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 108734*c**2*i*p**2 + 51*c**2 - 9*i*p**2 - 227*i*p - p**2 + 2*p - 8 wrt c?\nAnswer: 217468*c*i*p**2 + 102*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514 is divided by 171.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 12 = q, 6 = -12*q + m + 56 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1728) + -5 + -3 - ((sqrt(480)\/(-1*sqrt(10)) - (sqrt(48) - sqrt(96)\/(sqrt(10)\/sqrt(5) + sqrt(2) - sqrt(2)))) + -4))**2.\nAnswer: -392*sqrt(3) + 2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28129.\nAnswer: 23, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 2\/3 (b) 1131 (c) -10 (d) -2\/15 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 938.66 and -0.031.\nAnswer: -29.09846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 148*r - 294. What is m(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(75) + 1*sqrt(75)*-1 - (sqrt(75) - (sqrt(75) - (sqrt(75) + 2 + 2*sqrt(75)))))*6)**2*6.\nAnswer: -879984 - 77760*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 695459 (base 12) to base 10.\nAnswer: 1688901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - k = -52 + 43, 6 = -3*o - 5*k. Calculate the greatest common factor of 507 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34825 - -3921.03862\nAnswer: 38746.03862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*24\/6112*207\/621.\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxxx when four letters picked without replacement from dxdxxxxxxxxxxdxxxxxd.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 44. Let g(v) = -v - 8. Let r be g(i). Suppose -r*t + 5946 = 3*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36387 is divided by 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -16. Is ((-1059)\/f)\/((-5)\/(-20)) 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 20776 and 1792.\nAnswer: 664832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -9*r**2 - 6*r - 3. What is y(-2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 68483 * -2565\nAnswer: -175658895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8)*24\/360*480\/3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 299, -591, -3215, -8353, -16785?\nAnswer: -29291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22615 is divided by 1507.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 greater than 614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 919656.5 + -0.01\nAnswer: 919656.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -13742510799?\nAnswer: 13742510799.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 18*k + 21.\nAnswer: -3*(k - 1)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46558 - -46962. What is the remainder when n is divided by 328?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 2*c - 4. Let y be v(-2). Let m(u) = -u**3 - 13*u**2 - 11*u + 15. Let a be m(-12). Sort y, a, 0, 10.\nAnswer: y, 0, a, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z. Let c be w(-1). Let u be c\/(3*1\/3). Suppose -5*a - u*s + 50 = 0, 43 = 5*a - s + 13. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-23)*q*q*q**5 assuming q is positive.\nAnswer: q**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -25. Let m = 0.3 + -0.8. Put -5, m, t in ascending order.\nAnswer: -5, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -40328383, -40328384, -40328385, -40328386, -40328387, -40328388?\n\"Answer: -t - 40328382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 160.99999408 - 161. Round x to seven decimal places.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 227940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anlb when four letters picked without replacement from {p: 1, b: 2, n: 1, l: 1, a: 2, o: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 6*a - 585 = 0. Let n be (-2)\/6*a\/(-52). What is the fourth biggest value in 5\/2, n, -0.5, 0.04?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 107*u - 64. Determine x(54).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6945, -9957, -12969, -15981, -18993, -22005?\nAnswer: -25017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -8 - 6 - (-3 + 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 713170 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5 = 3. Suppose -l - 17 - 27 = 4*c, x*c + l = -24. Let j = c - -14. Solve -v = 2*o - 1, j*o + 6 = -2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.5 - -18. Let j = 2491 - 2491. What is the closest to j in 5\/4, q, 0.29?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000129404882 to seven dps.\nAnswer: -0.0001294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -17 (b) -0.045 (c) -9 (d) -1 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3032223 (base 4) in base 2?\nAnswer: 11001110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -52, -76, -64, 2, 140, 368, 704, 1166?\n\"Answer: 3*d**3 - 45*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-7)\/(-7)*(-4)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-137)\/411)\/((-1)\/(-15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 3, -24 in decreasing order.\nAnswer: 3, 2\/9, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 14*d = -16. Let y(t) = -2*t + 5. Give y(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2 - 22\/(-4). Let n = 4 - v. Sort 3, n, 0 in decreasing order.\nAnswer: 3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, x: 5, k: 1, u: 2, t: 6}. What is prob of picking 1 t and 3 g?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 12*i**2 + 16*i - 40. Let p be r(-10). Suppose p = 12*l + 10*l - 94402. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c + 2*c)*(-29*c**4 - 2*c - 3*c + 32*c**4).\nAnswer: 6*c**5 - 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 964800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = n + 19, -2*p + 2*n = p - 17. Suppose -w = p*w - 88. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -733063 minus -1?\nAnswer: -733062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 838961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 404869.\nAnswer: 1214607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2 - 17. Let x(t) = -2 + 0*t - w*t + t**2 - 2*t**2. Let q = 7 - 11. Determine x(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p*((p\/(p*p**(2\/9)))\/p)\/p*p*p*p)\/p)**(-9\/5)\/((p\/p**4)\/(p*p**(4\/7)*p)))**43 assuming p is positive.\nAnswer: p**(3569\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 924, 832, 790, 828, 976?\nAnswer: 1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 0*z**2 - 14 + 5\/12*z**4 + 16*z + 0*z**3. Let n(b) be the first derivative of s(b). Let u(v) = 8*v**2. Determine u(n(o)).\nAnswer: 200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -434050.\nAnswer: 1\/434050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -0.4, -6\/79?\nAnswer: -6\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3 - 3 - 7*k. Let a(w) = -w**2 - 8*w - 10. Let t be a(-7). Is s(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 4) + (-19 - -10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17603?\nAnswer: 29, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -748 times -25\nAnswer: 18700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01792627 to five dps.\nAnswer: 0.01793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52 or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 136 = -2*v, 6*h - 132*v = -131*v + 284. Suppose -5*w + 0*q = q - 169, -2*w - q = -70. What is the lowest common multiple of h and w?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1220\/7 - 174. Let u = 103\/21 + -5. Let n = -1\/50 + 59\/450. Sort n, l, u in decreasing order.\nAnswer: l, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/((sqrt(54)*-2)\/sqrt(6)))**2 + -1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n\/(n*n*n*n*n\/((n*n\/n**(-1\/3)*n)\/n))))**7\/(n**(-12\/11)*n**(9\/5)) assuming n is positive.\nAnswer: n**(2963\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -192906 (base 10) in base 15?\nAnswer: -3c256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 65253900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -425.\nAnswer: -1700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*(-2*d + 3 - 3) + (5 - 1 + 2)*(-d + 3*d - d).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-14)\/(-49))\/((-1)\/(-7)). Let g = -6 - -10. Solve g*y + 2*f = -2*f, -4 = -i*y + 2*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 f, and 1 l when three letters picked without replacement from {l: 2, f: 3, k: 1, v: 6, h: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*w = 421*w - 8, 0 = 4*c - w + 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (3*sqrt(612)*2 + sqrt(612) + 2 + -3)*2 + -1)**2.\nAnswer: 119952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -1.908346?\nAnswer: -5.725038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154\/231*(-165)\/(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 9. Let c = 7 + -4. What is the smallest common multiple of x and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(162)*2*6 + sqrt(162) - (sqrt(162) + sqrt(162) + 0 + sqrt(162) + -1 + 1))**2.\nAnswer: 720*sqrt(2) + 16216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20942 + 20942. Determine m, given that o*m + 2\/3*m**2 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/8020 and -82\/45.\nAnswer: 72180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 11*c**2 - 20*c - 19. Let m be s(11). Let f = m - -243. Determine i so that 2\/7*i**f - 4\/7*i - 2\/7 + 0*i**2 + 4\/7*i**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 619639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 3. Let s(y) = 35. Let x(j) = s(j) + 4*w(j). Determine x(16).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 3*l - 3. Let c(n) = 6*n**2 - 17*n + 17. Let x = 13 + -19. Let g(s) = x*c(s) - 34*t(s). Let h(k) = k**2. Give h(g(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-3) - ((-6)\/(-3) - 6). What is the second derivative of 4*d**5 - 46*d**5 + 14*d - 51*d**5 + 8*d**5 + n wrt d?\nAnswer: -1700*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 5*v - 3 = 0, 1 + 11 = -4*a + 4*v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*f**2 + 6491*f**4 - 5*f**2 + 2*f**3 - 6293*f**4 to z*f**4 + d + c*f**3 + a*f**2 + u*f and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 398*w + 422*w + 487*w + 25 + 415*w - 1848*w as p*w + t and give p.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g*o**2*p**2*y + 8*g*o**2*y**3 - 2*g*o**2*y + 12*g*p**2*y + o*p*y - 2*o*y**3 + 2*p**2*y**3 wrt p.\nAnswer: -4*g*o**2*y + 24*g*y + 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 1213*t**4\/24 - 2973*t**2. Let x(y) = 2*y. What is x(p(m))?\nAnswer: 2426*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/2))**(-2\/183)\/(h**(-2\/9)\/(h\/(h*h*h**(-3\/4)))))**(-48) assuming h is positive.\nAnswer: h**(292\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, a: 10, z: 1}. What is prob of sequence aavz?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4807 - -100921\/21. Let y = -4\/7 - m. Let z = -5.3 - -5. What is the smallest value in 5, -2, y, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 99*s**2 - 189 + 51*s**4 - 84*s**4 + 90*s**3 - 204*s + 9 = 0. What is s?\nAnswer: -1, 2, 30\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 11) in base 4?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 4, 3, 52, -1.7 in decreasing order.\nAnswer: 52, 4, 3, 3\/2, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 1)*(-3*x + 4*x + x)*(-1 + 3 + 0)*(-x + 2*x + 0*x) to r*x + o + b*x**2 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2 times -1.4?\nAnswer: 4.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-3))\/((-5)\/375). Suppose -v - q = -2*v. Suppose -138 = 4*i - v. Is i greater than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m + m)*(-5*m - 2*m + 5*m)*(1 - 2 - 4).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, w: 4, z: 8}. What is prob of sequence waww?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4257014197 to the power of 1\/2, to the nearest integer?\nAnswer: 65246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + 1.5. Suppose 5*i - 1 = 4. Suppose -2*y - 5 = i. What is the second biggest value in 3, y, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5 = 3*h + v, -v - 10 = -3*h. Let q = 8 - h. Differentiate 3*u**3 - 1 + 2*u**3 - 4*u**q with respect to u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299 = 34*g + 537 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (178\/(-1))\/(220\/(-41690)).\nAnswer: 89, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c**(-2\/5)))**(-3\/5)*(c\/(c*c*c*c**(-1)))\/c*c**4\/c assuming c is positive.\nAnswer: c**(34\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 9 and -138.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*m - 310 = 9*p + 34*m, -m + 14 = 3*p - 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**2 - 6*l**2 - l**2 - 11*l**2 in the form p*l**2 + i*l + n and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)*t)\/(t*t**(-1))*(t**(-2\/7)*t*t)**0 assuming t is positive.\nAnswer: t**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 15 = -5*u, 2*s + 5*u = 7*s + 35. Let h(w) = -2*w**3 - 2. Let m(g) = -6*g**3 - 7. Determine s*m(t) + 7*h(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1976)\/(-21) - (-18)\/(-189). Suppose -p = -3*j - 103. Suppose -u = -3*u + 2. Sort u, -5, j, -1 in decreasing order.\nAnswer: u, -1, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t = -20*t - 49084. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 h when two letters picked without replacement from {f: 1, h: 2, r: 1, q: 1, k: 1, b: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l - 9. Let k be v(7). Let w = k - 1. Calculate the greatest common divisor of 22 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, -8, -4, 0 in decreasing order.\nAnswer: 3, 0, -4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21899 is divided by 420.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 410 - 411.91. Let f = 2.6 - 0.6. Let t = r + f. Which is the third biggest value? (a) t (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -2, -6, -23, -5.8, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29279197 is divided by 185?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1311.\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1117228 or 1117220?\nAnswer: 1117220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 38 = -2*n, -35*x + 33*x + 76 = 4*n. Let y = 66 - -1. Suppose -z = -y - 142. What is the highest common factor of n and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4326428*c**3*u**2 - 2*c**3*u*v**2 + 3*c**3*v**3 + 892*c**2*v**3 - 2*c**2*v - c*u**2*v**3 + 184*u*v**2 wrt u.\nAnswer: 8652856*c**3 - 2*c*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/72 and (-8 + 1625\/600)*2\/5?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 9*h + 6. Let i be s(9). Suppose -i*d + 0 + 6 = 0. Solve -3*z + d = -4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688663.1l in millilitres?\nAnswer: 688663100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + l = -14*k - 22, -2*k = -2*l + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 8769?\nAnswer: 8769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 17*l - 8*l + 10 - 10*l**3 + 5*l**3 + 16*l**2.\nAnswer: -5*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*j + 443*j = 10962 for j.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*u + 1481*u**3 - u**2 - 1483*u**3 + 9 + 13*u)*(1 + 1 - 1) to h*u**3 + o + f*u + b*u**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + j = -2*z - 2361, 0 = 3*z - j - 1415. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52934 + 49492 + 6*j - 3*j + j - 2*j.\nAnswer: 2*j - 3442","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-4 - (3 - 6 - -2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h - 32*h + 3*p - 30 = 0, -4*h - 39 = -10*p + 5*p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687562 is divided by 2707.\nAnswer: 2691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138 and 552?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = -y + 2*y. Suppose -y = -a - 2*a. Suppose 3*b - 7 = a. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40 + -29 - 4) + (-1 - -11)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6531702013 - -0.07?\nAnswer: -6531702012.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 18 = -5*x. Let m(t) = x - 2 + 6 - t. Calculate m(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/15)*x**(-1\/5)\/x)\/(x*x*x\/(x**(-2\/11)\/x))**(-9) assuming x is positive.\nAnswer: x**(6001\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11 and -184364?\nAnswer: 184375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3217147245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/15 (b) 44 (c) 0.1 (d) -0.05123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29, 41, 183, 397?\n\"Answer: 36*v**2 - 38*v - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/180)\/((-16)\/24). Let u(m) be the third derivative of 0*m**4 + n*m**5 + 0 + m**2 + 0*m + 1\/3*m**3. What is the derivative of u(v) wrt v?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*34762.\nAnswer: -69524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (148*s**2 - 7*s + 8*s - 132*s**2 + 3)*(-6 - 3 + 0).\nAnswer: -144*s**2 - 9*s - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 7*t**3 + 3*t + (-3*t - 1 + 1)*(2*t**2 + t - t))*(70 - 8*t - 70).\nAnswer: 104*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -13972*j - 13982. Calculate r(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*x + 3*k + 6, -3*x = -3*k - 6. Let v = 7 + 16. Calculate the remainder when 132\/42*(14 + x) is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257595385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -8*q + 3*q - 3*n, 15 = -5*n. Suppose q*j - 2381 = 1969. Suppose 13*p + j = 8*p. Round p to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 7*u**3 - 3*u**3)*(0*u + 4*u - 2*u) - 26*u**3 - 2714*u**4 + 22*u**3 + 2708*u**4 + 2 + 3*u**2.\nAnswer: -2*u**4 - 4*u**3 + 3*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1080)\/(-416) + 2\/8 - 3\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express v + 363 + 2*v**2 + 4*v**4 - 363 - v**3 in the form m*v**2 + f*v**4 + c + b*v + d*v**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o**2 - 3*o - 3. Suppose -4*b + 2*v + 2*v + 32 = 0, 0 = -2*v - 10. Let c(w) = 13*w**2 - 7*w - 7. What is b*c(n) - 7*x(n)?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/36)\/(-10) - 301\/504?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109 + 465. Let x = l + -288. Is 68 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.6 and -58.\nAnswer: 266.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-3))\/(1\/3). Let b be 76\/10 + m\/(-10). Suppose 0 = 4*j - b*c + 3*c - 638, 5*j = 3*c + 791. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4) + 1\/4. Let v(f) = f**3 + 12*f**2 + 10*f - 13. Let j be v(-11). Let t = k - j. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22321, -44644, -66969, -89296, -111625?\n\"Answer: -b**2 - 22320*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of ((-38)\/5)\/(13\/(-325))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108886403 - 40126207 = -4*s. Let b = -10627363 - s. Let y = -12362686 + b. Round y to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 80, 108\/13 in descending order.\nAnswer: 80, 108\/13, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 e when three letters picked without replacement from {d: 6, e: 3, h: 6, b: 4}.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38491 divided by -19?\nAnswer: -38491\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82 + -81. What is the closest to 0.1 in y, 2, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35363133*j**5 + 14927008*j**2?\nAnswer: -2121787980*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1417? (a) -36\/7 (b) -3.1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 12:50 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2026*i**3 - 988*i**3 - 1041*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -64141, -254932, -572927, -1018132, -1590553, -2290196, -3117067, -4071172?\n\"Answer: -q**3 - 63596*q**2 + 4*q - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.9 times 10?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 14) to base 4\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 460 divided by 230.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 891 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27\/5, -2\/83, 1092, 0.1 in decreasing order.\nAnswer: 1092, 0.1, -2\/83, -27\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**2 - 49*w**4 - 4 - 40*w**3 + 45*w**3 - 20*w + 65*w**3 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-33)\/(-12)*48\/(-12). Let b(p) = -p**2 - 12*p - 14. Determine b(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5572599?\nAnswer: 3, 1857533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 340991, 680847, 1020703, 1360559?\n\"Answer: 339856*f + 1135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 1:03 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -19*x + 11*x**2 + 9*x + 37 - 35. Is d(-5) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m = 86*m - 305 - 740 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**4\/12 - 63*p - 2. Let q(h) = -h + 1329. Calculate q(x(y)).\nAnswer: y**2 + 1329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 1099.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17*1 - 80755\/(-2605).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**3 + 101391*v**2 - 854392053*v - 38653232535 = 0. What is v?\nAnswer: -45, 16921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/68)*h**(-4))\/((h\/(h\/h**(-29)))\/h**6) assuming h is positive.\nAnswer: h**(2107\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 85470 divided by 518?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (sqrt(65) - 1*sqrt(65) - sqrt(65))*-2)\/sqrt(5).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - f. Let o be a(2). Let p(b) = -b**3 + 0*b + 3 + 7*b - 5*b + 2*b**o + 0*b. Let w(t) = 6*t - 3. Let d be w(1). Determine p(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129919 = 13*c + 19042. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f. Suppose 3*y + 5*t = 2 + 12, 0 = y - t - 2. Let q(j) = 6*j. Determine y*q(v) - 7*i(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + -0.6. Let v be (3\/9)\/(1344\/1728). Which is the closest to 0? (a) u (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.7 + -11.7. Let t = b + 12. Let l = -1.1 + 1. What is the second smallest value in t, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-33)\/44*40\/(-125175). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05 (b) -32 (c) 2\/7 (d) 1699 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 27103.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4795 is divided by 120.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 225.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**2\/7 - 39128*i\/7 - 382750096\/7 = 0?\nAnswer: -19564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3. What is the lowest common multiple of (-2)\/4*-3*4 and 16\/(-6)*(-3 + q)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*p**2 - 4*p + 4*p - 4*p**2 + 3*p**2 + 0*p**2 + (p**2 + 2*p**2 - 4*p**2)*(3 + 0 - 5) - 196 + 196 - 78*p**2.\nAnswer: -83*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 738 - 738.2. What is the closest to p in 2, -0.03, 0.2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 125\/15 + (-2)\/6. Suppose -10*x + 6*x = -y. Factor -4 + 2*k**2 - k + 3*k + 0*k + 0*k**x.\nAnswer: 2*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*3 - 15\/5. Suppose q = -2*i - 3*i + 40. Find the second derivative of -i*y**3 - 7*y**2 + 7*y**2 + 6*y wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c9 - b?\nAnswer: 1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 64806271 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 917 - 869. Suppose -7*n + 47465 = p*n. What are the prime factors of n?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9442 (base 10) to base 12.\nAnswer: -556a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22913, -45913, -69113, -92615, -116521, -140933, -165953?\nAnswer: -191683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.287985 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -485 (b) 3 (c) -4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -110025 - 32?\nAnswer: -110060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.074 - -3.226. Let t = -3 + l. Sort t, -2\/9, 4 in ascending order.\nAnswer: -2\/9, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wxwwx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 11:55 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*n + 832 = -162*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 2*y - 16*y**3 - 12*y**3.\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9995 by 35.\nAnswer: 1999\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 divided by -27134.\nAnswer: -117\/27134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s - 106. Let u be y(-21). Let m be -2 - (1 + 54\/(-14)). Which is the nearest to 0? (a) u (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4407\/2 - 2202. Is h at most -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/(-4))\/((-3)\/8). Let m(x) = -o + 7 - x + 2*x. Let c(r) = 17*r + 7. Let f(t) = -60*t - 24. Let v(a) = 18*c(a) + 5*f(a). Determine -11*m(g) + 2*v(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n = -10. Sort -3, n, 5 in increasing order.\nAnswer: -3, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -9*d**3 - 3*d**2 + 3. Let p(w) = -w**2 + 1. Let j = -832 - -833. What is j*c(q) - 3*p(q)?\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 + -60. What is the highest common factor of w and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.35*-24.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/168*2\/(-6)*4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123016, -245890, -368762, -491632, -614500?\nAnswer: -737366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v. Let c(y) = -9*y - 85. Let t(g) = 3*g + 30. Let j(h) = 6*c(h) + 17*t(h). Determine x(j(s)).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98.931 + 103.0963. What is l rounded to 1 decimal place?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.6 and -919.\nAnswer: -915.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3170 and 18501705.\nAnswer: 1585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126656, 126660, 126664?\nAnswer: 126668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*j = -507, 2*a = -j - j + 206. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 3:47 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/4)\/((-3)\/(-6)). Put -5\/2, 2, r in increasing order.\nAnswer: -5\/2, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-1)\/(-1)) - 4. Let i(h) be the third derivative of 89999*h**4\/12 - 2*h**3 + 3*h**2. Let v be i(g). What is v rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 1001475 + 3396525. What is p rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -20. Let q = -72582 + 72584. Solve b - v = -3*y, -7*y = -4*b - 2*y - q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331104.3 millennia in centuries?\nAnswer: 3311043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 0*a - 3*a + 2*a + 0*a - 3. Let h(k) = 2*k + 7. Suppose -2*b = 6 - 16. What is b*s(v) + 2*h(v)?\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -232 - -1949\/8. Calculate the common denominator of -83\/16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*o + 245, -2*n = -o + 35 + 91. What is the smallest common multiple of o and 24?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 10*o**2. Let y(m) = -2*m - 80476. What is y(l(z))?\nAnswer: -20*z**2 - 80476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/12 (b) -9\/8 (c) 4 (d) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-7)*d)\/d*d**(-22))\/((d*d*d**4*d)\/d)**(-14\/11) assuming d is positive.\nAnswer: d**(-235\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 133*n + 146*n - 259*n + 5*n**2 as k*n**2 + w*n + f and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, p: 1, h: 2}. What is prob of picking 4 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8995 by 19.\nAnswer: 8995\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2. Let z(q) = -1716*q. What is z(b(f))?\nAnswer: 3432*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**4 - 4*i**4 + i**4)*(i + 0*i - 10*i + 4*i - 2*i - i + (4 + 0 - 2)*(i + 0*i - 3*i)).\nAnswer: 24*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x - 57. Let b be j(10). Calculate the highest common factor of b and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**5\/60 - 13*a**4\/24 + 2*a**3 + 3*a**2 - 3*a. Determine w(-10).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1510.83 + 1520.0241. Let b = t + -9.2. What is b rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23906 divided by -2?\nAnswer: 11953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4243 - -4?\nAnswer: 4302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 14*h**3 - h**2 - 3. Let o be j(2). What is the greatest common factor of o and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6))**(1\/2)*(p**(-1\/4)*p)\/(p\/(p*p**(1\/4))) assuming p is positive.\nAnswer: p**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 45*w + 331. What is the remainder when 236 is divided by n(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/26)*u**15)\/((((u**(3\/8)\/u)\/u*u*u*u*u)\/u)\/u*u\/(u*u*(u\/((u*(u\/u**(-2))\/u)\/u))\/u)) assuming u is positive.\nAnswer: u**(1525\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-25971.\nAnswer: 25971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 25 = 7*h. Let w be h\/((-10)\/(-4)) - 0. Let o be (1 + 7\/(-3))*-3. Calculate the highest common factor of o and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 2*r + 2*r)*(-42*r**2 - 40*r**2 + 359*r**3 + 82*r**2) + (-7 + 3 + 3)*(2 - 2 + 3*r**5).\nAnswer: -362*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 7*t**2\/2 + 2. Suppose 2*b - 6 = 2. Let d(k) = 6*k. Calculate b*a(l) - 5*d(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 209*g + 42213. Give a(-202).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -10*s**2 + s - 2. Let c(v) = v**2. Suppose 15*l - 679 = -664. Determine l*j(p) + c(p).\nAnswer: -9*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 319067 divided by 251?\nAnswer: 319067\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 52 + 0*3\/6. Let q(c) = 52 - n - c**2. Let k(m) = 7*m. Let u(j) = 6*j. Let x(l) = -4*k(l) + 5*u(l). Calculate x(q(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.6 + -3.2. Let o = l - 1.4. What is the nearest to o in 1, -3, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20 + -23)\/(1\/5). Let o = n - -10. Let a(l) = l**3 + 7*l**2 + 9*l + 10. Let j be a(o). Solve r + 2 = -4*z - 9, -5*r = j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 29*a + 16. Let h be d(3). Let f = h + -99. Solve -2*w + 5*o = 1, 3*w - f*o = -3 + 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31936 is divided by 4560.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -2 + 1)*(0 + -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -14*s**2 + 11*s. Let d(m) = 5*m**2 - 4*m. Let w(a) = -17*d(a) - 6*x(a). Let c be w(-2). Let q be (5104\/c)\/(-1*2). Round q to the nearest 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 450, 4, -4, -1, -3.\nAnswer: -4, -3, -1, 4, 450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 39. Suppose 0 = -3*k - 5*v + 448, k - 4*v + 764 = y*k. Is k a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(242) - (2*sqrt(242) - sqrt(242)))\/sqrt(11) + 1*sqrt(1408))\/(sqrt(44)\/sqrt(4)*-5*1))**2*6.\nAnswer: 768\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 477767 = 2*d - 17765, -5*d = 5. What is i rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23729873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*m - 7. Let c = 52 - 53. Put c, 1, m in descending order.\nAnswer: 1, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j - 5*j + 10*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136d (base 14) to base 10.\nAnswer: 3429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 141 - 159 = 0. Suppose -10*p - 25 = -45. Let h be 500\/8*(1 + p\/(-10)). Calculate the greatest common factor of h and r.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10764 and 128892?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m**2\/6 - 3695*m\/6 - 88 = 0. What is m?\nAnswer: -1\/7, 528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 + 3*w**2 - 3*w**2 + (-1 + 1 + w**2)*(1 + 0 + 1).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 46*o + 221 + 47 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2*v - 16 = 0, -174*v = -4*m - 86*v - 83*v + 59 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-18)\/810)\/(17\/2907)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40008 + 1?\nAnswer: 40009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, g: 13, u: 4}. Give prob of sequence gff.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 8*j - 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-159 + 444 + 426*k - 424*k)*(0*k - 2*k + k).\nAnswer: -2*k**2 - 285*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -56?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(-14)*m\/(m\/m**(-6))*m**1*m assuming m is positive.\nAnswer: m**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 202110011121 (base 3) in base 4?\nAnswer: 1202101210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**2 + 5*f**2 - 5*f**2)*(-2*f - 4*f + 5*f)*(-3320 - 161 - 1633 + 530) to the form n*f**2 + k*f**3 + v*f + j and give k.\nAnswer: 4584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 3. Let j be u(-3). Let p = -1 - j. Let t be -2 + (p - (0 + 0)). Sort -1, 3, t in decreasing order.\nAnswer: 3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 + 0.16. Which is the second biggest value? (a) 0.4 (b) 0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, z: 2, d: 7, i: 2}. What is prob of picking 1 i, 1 f, and 1 z?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 29*b**2 + 68*b - 35. Let l be z(27). Calculate the greatest common factor of 28 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, n: 18}. What is prob of sequence nfn?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 770999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (17 - -97)\/((-3)\/2). Let v = m - -103. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 7:14 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 24 - 42 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 10:46 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-1 + -4 + 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73.7 - 70. Let l = q - 3.21. Let n = 1.51 + l. What is the nearest to 0.2 in n, -1, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 18. Differentiate -9*g**2 + 5 + 10 - t - 4 with respect to g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 864 - 864 - 121*p**2 + (3 - 7 - 5)*(p**2 + p**2 - 5*p**2) as h*p + b*p**2 + c and give b.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (488\/(-732))\/((-6)\/(-9)*-16).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 - 26*y - 34. Let b be s(14). Let x be (-11)\/((-55)\/(-2)) - b\/(-10). Let l(m) = -3*m + 1. List the prime factors of l(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15.088013 and 38861.\nAnswer: 38845.911987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2 - -3) + (48 - (-59 + 104))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*m - 465*m**2 - 4388*m**2 + 27*m.\nAnswer: -4853*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 31. Let z(s) = 8*s. Calculate h(z(c)).\nAnswer: 8*c - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 8*x - 40. Is 0.26 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 283754, 567506, 851258?\n\"Answer: 283752*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -37, -193, -509, -1039, -1837, -2957, -4453?\nAnswer: -6379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 + 12*w + 7. Let u be i(-6). Let d = 2 + u. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n = 14*n + 2*m - 38, 2*n = 3*m - 71. Let j be 1 + 8\/n - 4\/(-14). Solve 0 = -2*u - 3*x - j, 5*u + 2*x - 10 = 7*x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*((v**17*v)\/v*v*v)\/v)*v**(3\/4)*v*v)**(10\/19))**(-16) assuming v is positive.\nAnswer: v**(2440\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 2*f - 12. Solve f*r - 28 = -5*v, -r - 22 = 2*r - 5*v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, t: 12}. What is prob of picking 2 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*x = 23*x - 360. Let r(f) = -36*f**2. Let d(a) = -a**2. Determine x*d(s) - r(s).\nAnswer: 31*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -c + 50. Let y be 2\/(-1 + -1) - 0. Let k = 5 - y. Calculate the least common multiple of k and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -6, -2, 2, 6, 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -d - 8, -3*d + 0*d = 5*x + 41. Let a be 2\/4 - d\/8. Find the second derivative of 1 + 4 - v**5 - a*v - 5 wrt v.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 1 + 5*s - 9*s + s**2 + 1. Let j be i(4). What is the greatest common divisor of j and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3970 is divided by 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/46 + (-234)\/46?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -13*j + 355, 43*k - 44*k = -9. Let w(m) = -7*m. Let p(i) = -34*i. Determine j*w(u) - 6*p(u).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p - 1. Let t be w(1). Let a(c) = -4 - 2 + c + 4*c - 1. Does 18 divide a(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from kbxdbzvx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 - 9)*(14 + 58 - 6 + 56)*(-2*i + 1 - 1).\nAnswer: 4148*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 10.02895 grams?\nAnswer: 10028950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -30 (b) -0.3 (c) -1\/959 (d) -5 (e) 2 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12\/75*-21*(-7)\/(-294)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74676 + 74675.9960239. What is s rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, 0.3, 4, 5, 19, -0.2 in ascending order.\nAnswer: -116, -0.2, 0.3, 4, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3835336117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 277*u**2 - 18833*u - 13412. Determine x(123).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 + -0.4. Let m be 2\/(-18) - 0\/1. Let u be -1 - (-1)\/(10\/8). Which is the closest to o? (a) 1 (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58*h*v**3 + 37*h*v**2 - 6*h - 4*v**3 wrt v.\nAnswer: 348*h - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x**2 + 5*x - 6. Let p be t(4). Let v be 3 + -7 - -6 - -8. What is the greatest common divisor of p and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148987944 divided by -8406\nAnswer: 17724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 13*d + 903 = 0. Calculate the remainder when d is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/8 and -9\/3358?\nAnswer: 13432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 * -9.8.\nAnswer: 13.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 4*g**2 + 3*g + 1. Let t(h) be the second derivative of h**5\/10 - 3*h**4\/4 + 7*h**3\/6 + h**2 + 12*h. Calculate 4*t(w) - 9*u(w).\nAnswer: -w**3 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**5 + 216*o**3 - 3*o + 39?\nAnswer: -40*o**3 + 1296*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/233? (a) -2\/7 (b) -7 (c) 6 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 3*l + 6. What is d(8)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -17*y**3 + y + 710. Let o(t) = -16*t**2. Determine o(x(h)).\nAnswer: -166464*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 10 = 3*i + i, 0 = 4*f - i - 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1960*l + 96005. What is o(-49)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -140 + -300. Let s = 1013 + b. What are the prime factors of s?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2743.44 - -2797. Let s = f + -48.5. Round s to one dp.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -1316*x - 463328. What is t(-352)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3573\/2717 + -12\/247. Calculate the common denominator of -29\/20 and g.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2 - c - 1. Let y = -29 - -30. Let q be i(y). Solve 8 = -5*m + q*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from {s: 1, a: 2, x: 2, g: 1, y: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(588) - sqrt(588)*-2)\/sqrt(12))\/sqrt(7) + -3*sqrt(7)*2 + -3 + 0 + ((sqrt(7) + -1 + 2 - sqrt(7))**2 - sqrt(77)\/(sqrt(11) - sqrt(275))).\nAnswer: -11*sqrt(7)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17238804?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -24, -10, -2 in descending order.\nAnswer: 0, -2, -10, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 4)\/((-3)\/2) + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 12 = -h, 0 = 3*h - h - f - 12. Suppose -2*l + 16 = h*r + l, -5*r + l = -20. Suppose -3*b + 28 = 3*z + z, 8 = -2*b + r*z. Solve b*d - 1 = -5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i + 2*i - 11*i = 33*i - 3240 for i.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7*7\/147 + (-2)\/(-3). Let z be (3 - 24\/20) + -2. Do s and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76\/135 - 1\/27. Let z = 265\/3 - 266\/3. Is a > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v**3 - 82*v**2 + 64349?\nAnswer: 3*v**2 - 164*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -364076524264 take away -1.8?\nAnswer: -364076524262.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 913 - 566 = n. Which is smaller: n or 345?\nAnswer: 345","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + m + m)*(-2 + 2 + 1)*(0*m**4 - m**4 - m**4) + m**4 + 5*m**4 + 86*m**5 - 85*m**5.\nAnswer: 7*m**5 + 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 3*j**2 + 4*j + 1. Let x be a(3). Let k be (-2 - (0 + -1)) + 40. Let h = k - x. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g**2. Let u(m) = 5*m**2. Let q(n) = j(n) - u(n). Let z(s) = 37*s**2 + 15. Calculate q(z(b)).\nAnswer: 1369*b**4 + 1110*b**2 + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-60)*-4*(-1 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260844247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 75, 1, 5, 11, -8, 6 in ascending order.\nAnswer: -8, -5, 1, 5, 6, 11, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3312616012.\nAnswer: 2, 828154003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16980581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*-108.597.\nAnswer: 86.8776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-28)\/6)\/(-7))\/((-4)\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 11*m**2 + 5*m - 22. Suppose -4*h + 3*c = 40, 3*h + 7*c - 8*c = -30. What is the remainder when 84 is divided by v(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 35)*(1 + 0 + 1)*(-1 + 0*o + 2*o - 1).\nAnswer: -144*o + 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5141824, 10283645, 15425466, 20567287?\nAnswer: 25709108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2343574 and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrbr when four letters picked without replacement from {r: 3, b: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/61*-2*(-1)\/12. Is d != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -5*z - t, 0 = -3*z - 58*t + 63*t + 22. Solve 0 = -4*a - d + 2 - z, a = -4*d + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1221 - 1221. Solve m = -2*b + 6 + 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17931*s = -5*g + 17930*s - 28, 0 = -2*s - 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 3:23 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1188)\/648 + 2701\/1554.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-5)*21\/63.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a - 1546713 - 1033787 = -79*a. What is the thousands digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12828 + 21491. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001499 rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 6 - 1)*(1 - 1 + 1) - 3 - 2 + 3 + 1 + 2 - 1 + (-4 + 2 + 1)*(2 - 4 + 1) - 2 + 1 - 3 - 3 - 2 + 4)*(-7*a**2 + 500*a - 500*a).\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, a: 12}. Give prob of sequence ann.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.7 + -4.2. What is the smallest value in o, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**8\/336 + o**6\/60 - o**4\/24 - o**2 + 1. Let l(t) be the second derivative of p(t). Suppose l(w) = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 13, 1682.57?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-413))\/(8\/(-14)). Let v = 7705\/2832 + l. Calculate the common denominator of -133\/120 and v.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7133*t = 36354 - 124300 - 140310 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 - 111.053. Let r be ((-2)\/3)\/((-1)\/(5 + -6)). What is the third smallest value in 5, p, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 129*l + 504 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/4)*w**(-6\/11)\/w*w**(1\/2)*w**(2\/17))**39 assuming w is positive.\nAnswer: w**(-5187\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6409c3 (base 13) in base 7?\nAnswer: -25630615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 250.8 (b) -4 (c) 8 (d) -21 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412818 is divided by 45650.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 + -16 + 97 + -160.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/36*((-64)\/12 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139*b + b**2 + 278*b + 108*b**6 - 136*b wrt b?\nAnswer: 12960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15 - -298.\nAnswer: 297.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -518*v + 4557*v**3 - 44*v - 4555*v**3 + (-1 - v + 1)*(-2*v**2 + 0*v + 0*v).\nAnswer: 4*v**3 - 562*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 858\/14 - ((-24)\/(-14))\/6. Let v = 64 - t. Solve -5*m - v*o - 15 = 3, 2*m + o + 7 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4 = 63. Let t = 71 - u. Solve -4 + 20 = t*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**3*x**2 + 107359021*r**3*x + 3*r*x**2 - 49009*x**3 - 2*x**2 wrt x?\nAnswer: 2*r**3 + 6*r - 294054*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lls when three letters picked without replacement from {a: 11, s: 1, l: 7}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 + (-32 - (-25 - -10)) + 35?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(16)\/sqrt(2))*6)**2 + (sqrt(110)\/(sqrt(20)\/sqrt(4)))\/(sqrt(55)\/(sqrt(30)\/sqrt(6))).\nAnswer: sqrt(2) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 23 = 10. Let d(y) be the third derivative of y**6\/120 + y**5\/5 - 3*y**4\/8 + y**3\/2 - 15*y**2. Is d(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 677842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 470466552.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) - (sqrt(108) + 3*sqrt(108)) - sqrt(108))*4)\/sqrt(6))\/(((sqrt(528) + sqrt(528)*1)\/sqrt(11))\/sqrt(8)).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/6 + (-14 - -11). Which is the closest to -0.3? (a) -0.4 (b) -2\/9 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 y when four letters picked without replacement from rrrrryyr?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/(-42) - (-10)\/70?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -17*(-2)\/(-8) - (-6)\/(-8). Let n be (-1 - 1)\/(2\/q). Solve 5*s - n*h - 13 = 32, s + h = 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 2026 (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-32)\/(24\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 24*v + 62. Let m be d(12). Let i = m + -380. Which is greater: -26 or i?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1638857?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (185 + 66 - 99 + 66 + 247)*(6*u**2 + u**2 - 2*u**2) in the form r + s*u**2 + b*u and give s.\nAnswer: 2325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -6 + -5 - (-7 - -6)) + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p + 0*p**2 - 5*p**2 + p**2.\nAnswer: -4*p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 5 - 29. Calculate the lowest common multiple of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312365281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 42 - -2*1. Let b = g - 282\/7. Let m be 1*((-2 - 0) + 1). Is m >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*a - 1118 - 547 = 0 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 117?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12121)\/(-714) - 23\/(-966). Do 972\/53 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (6*(-2 + sqrt(2736)*-2 + sqrt(2736)*2 + 1)*5)**2).\nAnswer: -2703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 18, 59, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 4*r + 5. Find the common denominator of 4\/6 + 94*10\/48 and y(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*v - 36, -5*v + q = 3*q - 69. Let f(n) = -n**2 - 5*n - 4. Let l be f(-3). What is the remainder when v is divided by l + (-7)\/(21\/(-18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2350420)\/1705*(-11)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 5*m**8\/336 + 99*m**7\/70 + m**4\/24 + 1675*m**3\/6 + 2*m**2 - 5*m + 71. Find the second derivative of a(i) wrt i.\nAnswer: 100*i**3 + 3564*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (4 + 6 - 11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 + 47 = -139*k - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1117, -2064, -3011?\n\"Answer: -947*w - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -518242 or -518243?\nAnswer: -518243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 9*h**2 + 9*h - 2. Let v be q(8). Suppose -2*y + 2 = -v. Suppose -u - 3*x + x = -11, y*u - 4*x - 92 = 0. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**5\/20 + u**4\/3 - u**3\/6 + 7*u. What is the lowest common multiple of w(-4) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 600 divided by -34\nAnswer: -300\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5*2\/(-8))\/((-1)\/76). Let n = h + -65. Calculate the remainder when n is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 616324905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 8:29 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 7*h**2 + 7*h**2)*(0*h - h - h) + (4 + 4 - 6)*(-2*h + 2*h + h)*(-5*h + h + h)*(-3*h + 6*h + 0*h).\nAnswer: -48*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -49*y - 14. Determine g(-3).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 17 = 4*d - 7*d, 4*d - 26 = -2*i. Solve 3 = i*g + l, g - 6 = -g + 2*l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1925740 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 997*g + 1. Is z(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 318888 and 311472?\nAnswer: 13393296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75 - 73. Let h(a) = -a**3 + 3*a**2 - 5*a + 4. Let j be h(y). Let o(b) = b**3 - 2*b - 2. Calculate o(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 2 - (1 + -1)) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-2500))\/((-7)\/35)?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84363?\nAnswer: 3, 61, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3. Let g be w(2). What is the third derivative of 0*a + 0*a + 0*a**6 - g*a**2 - 6*a**6 wrt a?\nAnswer: -720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40886 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + (-40)\/15)\/((-6)\/(-27)). Let p(x) = -4*x**3 + x**2 + 8*x + 2. Is p(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 20 = n. Is 15\/3*(n + 6735 + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 4*p + 22, 14*p - 13*p - 5*f = -28 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2196284 to the power of 1\/2, to the nearest integer?\nAnswer: 1482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -1\/4*v**2 - 1\/12*v**3 + 9*v + 0 = 0?\nAnswer: -12, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -2, 0.2, -1, 4178 in descending order.\nAnswer: 4178, 0.2, 1\/8, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*w + 5*p, -6*p + 2*p = -2*w - 14. Which is the second biggest value? (a) 0.4 (b) -3 (c) w (d) -31 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -310 + -95. Let d = i + 405.0000552. What is d rounded to 6 dps?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -13.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 6, -1\/3, 2\/5, 20, 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 53.03, 1\/6, 0.844, -0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w. Let q(z) = 3*z + 3. Let f(b) = -q(b) + 4*r(b). Let t be f(9). Suppose 9 = 5*u - 2*h - 6, 2*u = 4*h + t. Solve u = -2*i + i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(1331) + 2*sqrt(1331))*-6)**2 + 4*(-1 + sqrt(1331)*-1 - sqrt(1331)) + -4)*5.\nAnswer: -440*sqrt(11) + 2156180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + 0 - 8 - -9. Solve -18 - 7 = -s*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/(51\/(-7990)). Let u be 5 + 3 + r\/(-30). Which is the third biggest value? (a) -3 (b) u (c) 0.07 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -63. Let a = l - 12. What is the units digit of (-150)\/(-12) - ((-5)\/a)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18282521?\nAnswer: 18282521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*b**3 - 410*b**2 - 1360*b - 480.\nAnswer: -5*(b + 4)*(b + 12)*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3268698882?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.7509 + 0.173714.\nAnswer: -19.577186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 51126?\nAnswer: -51126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -226158 in decreasing order.\nAnswer: 0, -4, -226158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012154361772 to 5 decimal places.\nAnswer: -0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/413002934 and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 (base 12) in base 4?\nAnswer: 22230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110110011100010010110 (base 2) in base 9?\nAnswer: -12221563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a - 4*a**2 + 13 + 3*a**3 - a - 10 - 5*a**3. Determine t(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -9 - (273 - 214)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-6)*(-18)\/(-84).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, h: 5, n: 2}. Give prob of sequence mnh.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1897 + 1901 - ((-2)\/(-9) + 188\/45). What is the closest to 39.1 in 5, 2\/7, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m - 32. Give d(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 - -9 - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u**3 - u**2 - 3*u + 6. Let l(p) = -6*p**3 - 2*p + 7. Calculate -2*b(x) + 3*l(x).\nAnswer: -6*x**3 + 2*x**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1384*m**2 - 75078 + 10*m**3 + 1384*m**2 + 75078 - 4*m.\nAnswer: 10*m**3 - 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 2 - 3) + (-2)\/((-124)\/1190). Which is smaller: 17 or f?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 214 and 8.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -26, -70, -136, -230, -358?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1698\/(-6))\/((-2)\/20). Let s be 12*(k\/42 - 6\/(-21)). Suppose -s = -3*x + 1951. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 69511.41 millennia?\nAnswer: 69511410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 9:32 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-138)\/216*-3)\/((-526)\/12624)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -11\/4 (b) -0.5 (c) 3\/5 (d) -2 (e) 1747\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-13))\/(78\/(-156))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3647\/5 + 79679\/110. What is the common denominator of ((-2)\/30)\/(6\/545) and u?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*w - 806, -3*u + 4*u - 415 = 2*w. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - c + c)*(3*c - 4*c + 1 - 7*c).\nAnswer: -16*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6995.946 millilitres?\nAnswer: 6.995946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 5*z**3 + 9*z**3 - 16*z**3 to the form v*z**3 + a*z + y + b*z**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194712757*l**5 - 135070529*l**2 wrt l?\nAnswer: 11682765420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 55 = 5*p, -p + 5*i = -39 + 7. Suppose 8*a - 2789 = p*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 24001*l**2 - 1. Let m be q(-1). Suppose 0*b - m = b. What is b rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9602 (base 11) in base 10?\nAnswer: -12707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3*(-7)\/(-1260)). Calculate the highest common factor of u and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2527, 203, 9.\nAnswer: -2527, -2, 9, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1133304 (base 6) to base 8.\nAnswer: 163310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221561479.\nAnswer: 29, 131, 58321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, s: 2, w: 4}. What is prob of sequence sszz?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -5*q + 1578 - 1468 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26\/7, 2\/3, -35, 6, -0.3.\nAnswer: -35, -26\/7, -0.3, 2\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - w**2 + 7. Let n = 39 - 38. Let i be 38\/12 - 3 - n\/6. Give g(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 5:12 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91 + -4*(-23 + (-2140)\/(-80)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0.01, 1015\/3.\nAnswer: -21, 0.01, 1015\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.75 rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2748\/3206)\/(3 + 0 + -2*45\/20)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*g - 42, u + 3*g = 7 + 9. Let y = u - 8. Suppose r - 31 = -y*v, -111 = 4*r - 7*r + 3*v. Calculate the greatest common divisor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**5 + 1574*j**4 - 154216*j**3 - 1871968*j**2 - 1401472*j + 3426080 = 0.\nAnswer: -874, -10, -2, 1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 1886, -2, 2, -142.\nAnswer: -142, -2, 1, 2, 3, 1886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -4 - (20 - 0 - 12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 5*c + 5. Let u be m(5). Suppose 0 = u*i + q - 20, -3*q = -2*i + 5 + 3. Suppose -i*n = -9 - 3. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 14. Let f = 53 + q. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1253209622 to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -438 - -1285\/3. Let b = 4\/299 + -11677\/1196. What is the common denominator of b and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24501663?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 801 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.9 + -26.8992. Round q to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-three halves of a microsecond?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7865 - -7869. Let -1\/3*o**5 + 5\/3*o + 4\/3*o**z - 2\/3*o**2 - 2\/3 - 4\/3*o**3 = 0. What is o?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzdvmdzddl. Give prob of picking 1 v, 2 d, and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times 13.826451?\nAnswer: 276.52902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjpfpyqyyqxyjjf. What is prob of picking 1 x and 2 p?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from kknhahnpvahhppv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 254*b**2 - 2. Let t be l(1). Differentiate -t*c + 52*c - 26*c - 233 wrt c.\nAnswer: -226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*3\/(-3) - (-24 - -19). Let o = 7 - 6. Let y(q) = 3*q**2 - 2. Let k(s) = -s. Calculate o*k(i) + x*y(i).\nAnswer: -3*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 12:29 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79 + 86. Let l(a) = 5*a**2 - 252*a - 149. Let s be l(51). Solve -s*v = -5 - y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148260 and 28384377.\nAnswer: 7413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*j + 18 - 381, -3*j + 611 = 5*q. Suppose -4*p = 3*m + m - 752, 0 = -3*m - 2*p + 562. Calculate the highest common factor of q and m.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + h + g = -15856, -2*h - 4*g + 6360 = 0. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 194426387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 + 7)*(0*f**3 - 2*f**3 - f**3)*(-38 - 55 + 9) to the form o*f**2 + k*f**3 + q*f + z and give k.\nAnswer: 1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8482\/119 not equal to 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + n - 2. Determine o(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**4\/4 - 213*n**3\/4 - 2943*n**2\/4 + 30537*n\/4 - 13689\/2 = 0.\nAnswer: -39, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(3\/(-1)))\/((-2)\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-23)\/11 + (-2980)\/(-110) + -27. Put -6, 60, l, -4 in ascending order.\nAnswer: -6, -4, l, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3759.85 or 0.6?\nAnswer: 3759.85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-11*6\/(-55))\/((-45)\/(-5)*1\/30)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-76)\/(-342))\/((-1)\/(-9)). Suppose -t*d - 6 = 0, -m + d = -12 + 1. Solve o - 6 = -m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (0 - (6 - 11 - 4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4 = 2*j. Suppose 732 - 2087 = -5*t + 5*c, 533 = j*t - 5*c. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-49)\/(-539))\/((-2)\/(4\/(-2)))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3) - (-1232)\/264?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2*w + w)*(2*w**2 + 0*w + 0*w) + 10*w - 3*w**3 - 10*w + w**3 - 3*w**3 + 4*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 5*l**2 + 3*l - 2. Suppose 0 = 4*b - 5*b - 67. Let c = b - -72. Determine p(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 7. Let d be l(4). Suppose -6 = 2*i - i - d*h, -4*h = 8. What is the common denominator of -109\/18 and (-51)\/4 - 36\/i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151159 is divided by 6034?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-506)\/(-44)*(16\/(-5))\/(8\/(-40)). Calculate the highest common factor of y and 20792.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 73*n - 9. Is m(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14*(0 + 4\/(-4)). Let z(n) = 25*n**2 - 7. Let d(y) = -8*y**2 + 2. Let j(f) = i*d(f) - 4*z(f). Let p(t) = -2*t. Calculate j(p(s)).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a millennium in months?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n + 29. What is y(12)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 414\/(-21) + 9 + 11. What is the nearest to v in -0.2, -1\/33, -3, 5?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 313742325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, x: 2, t: 7}. What is prob of sequence tr?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20716 and 96?\nAnswer: 497184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zizicazccazc. What is prob of picking 3 z and 1 a?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 2, q: 1, s: 1, e: 1, i: 1}. Give prob of sequence kd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 549 + -547. Let n(b) be the third derivative of -b**7\/5040 + b**5\/20 + b**2. Let i(h) be the third derivative of n(h). What is i(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15525\/(-230))\/135*-236?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + -2*15\/(-6). Suppose -l - 5 = -f*z, -l - 2 = l - 2*z. Are 0 and l non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(35\/5))\/(2\/(-3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1394 - 1401. Let h(z) be the second derivative of z**3\/3 + 5*z**2\/2 + 4*z. Give h(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24236 + 16707 = 334*r + 27875 for r.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29942 divided by -11?\nAnswer: -2722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -163 or -153?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z**2 - z - 6. Let d(u) = -4*u**2 - 2*u - 5. Let k = 51 + -45. Let i(n) = k*d(n) - 5*l(n). Factor i(q).\nAnswer: q*(q - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 7:07 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 68 + 12\/(-4) - 4. Suppose -y = -5*l + 179. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 6*g - 4*g. Let j = g - -22. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.2, 33\/199, 0.1, 40?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*z + 62, -3*r - z + 4 + 63 = 0. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-10)*(-286167)\/54. Let d = v - 7958. What is the common denominator of -7\/8 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.71066 to two dps.\nAnswer: -38.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/64*4\/(-3)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -5, -14, -23?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -101 (c) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 6 - 4)*(-1 - 3*q + 1) + 167*q - 3*q + 134*q)*(-4 - 2 + 7).\nAnswer: 286*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 5. Let c = 78 + -68. Suppose -29 = -13*f + c. Suppose -2*u = f*n + 24, -2*u + 15 = -5*n - 9. Determine g(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00633 * -0.03.\nAnswer: 0.0001899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f + 0 + 1 + 5 - 4*f + 26*f.\nAnswer: 16*f + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -54. Let a(r) = -28*r - 9. Calculate the remainder when a(-5) is divided by w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -965083, -965086, -965089?\nAnswer: -965092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4 = 0, -2*v + 4*v - 6 = -2*y. Suppose 3*j - 65 - 24 = 4*a, -v*a = -4*j + 116. What is the remainder when 105 is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4.8 (b) 544 (c) 2 (d) -5 (e) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 + 285*x + 5026. What is p(-124)?\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 5*t**2 + t - 5. Let z be n(5). Suppose -5*k + 3 = -12. Suppose k*c = -0*c + 45. Solve z + c = -5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-35)\/(-10) - (-1)\/2. Let t be (2\/(-6))\/((-61)\/(-1098)). Let p be -8 - (-64)\/(t + 10). Calculate the greatest common divisor of p and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -34.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509*h + 18593 - 18593.\nAnswer: -509*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/7)\/(4\/(-28)). Let y be 547734\/(-304)*k\/(-1). Let x = y - 7206. Find the common denominator of -47\/22 and x.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.09, -141, -13, -0.06?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3403 and 4.\nAnswer: 4.3403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + (1 - -1) - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by -39\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eepeeeee. What is prob of sequence pee?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*x + 214 = 0, 110 - 42 = p + x. Calculate the remainder when 269 is divided by p.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -2572 - 9524. Let n = c - 658. List the prime factors of n.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -22.25. Let m = y - -0.25. Let j = -1.85 - m. Round j to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-4 - 5) - -3 - -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 21*q**3 - 9*q. Let c(t) = 10*t**3 - 5*t. Let r(o) = 5*c(o) - 3*j(o). What is the second derivative of r(u) wrt u?\nAnswer: -78*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(4 + 18 + -24).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46436614?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792 is divided by 142?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/81*10*(-2)\/(-70).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -323*w**3 + 5*w**2 + 15*w + 11. Let n(c) = 162*c**3 - 3*c**2 - 8*c - 6. Give 11*n(u) + 6*x(u).\nAnswer: -156*u**3 - 3*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccvcvcvcccccccc. What is prob of sequence cc?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 10, -570352 in decreasing order.\nAnswer: 10, 6, -570352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 896 is divided by 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26626*d**2 - 13311*d**2 + 26520*d - 26520*d - 13313*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 4:29 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 6) to base 8.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 65580298, 65580319, 65580340, 65580361, 65580382, 65580403?\n\"Answer: 21*y + 65580277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7049.\nAnswer: 7, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*f**5 + f + 2*f**3 - 1172*f**4 + 1172*f**4 - 3 wrt f.\nAnswer: -320*f**3 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3043 not equal to -1034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 1:44 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 6*t + 16. Suppose 10 = 5*k + 2*h, -25 = -5*h - 0*h. Suppose 5*i - 18 - 2 = k. What is the smallest common multiple of t and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48.973 + 49. Let x = 2.615 + -2.722. Let i = x + s. Put 1, i, 3\/2, -1 in descending order.\nAnswer: 3\/2, 1, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**3\/3 + 1292191*f**2 + 1252318831456*f + 3756952617796\/3 = 0.\nAnswer: -1938286, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 262264?\nAnswer: 262268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25\/6059 + 46284851\/36354. Let y = 1270 - u. Find the common denominator of ((-136)\/6)\/(6*-1) and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-5 + 7 - 12) - 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/352 and -26\/671?\nAnswer: 21472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-135) - 42\/567?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*r - 4*r + 5*r as v + h*r and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 6) to base 10.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*h - 3*p + 9, -6 = -h - 2*p. Suppose -5*u = -h*u - 25. Let b be (u\/(-4))\/((-3)\/12). Solve -b = -s - 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1141 - 95 - 2580)*(-i**5 + 2*i - 2*i) + 26*i**4 + 2*i**5 - 26*i**4.\nAnswer: 3818*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 4 - (79 - 64)) + 1 + 6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76.9 - 76.900331. Round y to 5 decimal places.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*t + 20*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6105b (base 14) in base 13?\nAnswer: -8227a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z - z - 20*z + 5*z to the form p*z + u and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -20. Let l = 276 + -254. What is the remainder when l is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2205781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117271 - -117288. Suppose s - 5*w - 182 = 0, 0*s - 5*s + 937 = 2*w. What is the highest common divisor of s and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -763806?\nAnswer: 763804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 12 = -5*j. Suppose -2*v + 5*s = -5 - 9, 5*v - j*s - 35 = 0. Suppose -3*n + 35 + v = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.2 + 9.7. Suppose 7*a - 2*a + 10 = 0. Put l, 2, a in descending order.\nAnswer: 2, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1583\/(13 - 14) + 10. Which is greater: i or -3145\/2?\nAnswer: -3145\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/37))**(-3)*m*m**30\/m*m\/(m**(-1\/11)*m))**(2\/17) assuming m is positive.\nAnswer: m**(21920\/6919)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*a + 1, -6*a - 17 = -g - a. Suppose i + 9 = -2*i. What is the second smallest value in -4, g, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8*(21\/(-2) + 11) + (24 - 0). Let c(a) = -a**3 + 21*a**2 - 23*a + 70. Calculate c(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-82)*281\/(-1686))\/(1\/(-6)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -63700678965+13.9\nAnswer: -63700678951.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from miiizzzfmimimtm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m + 12 = -4*g, -616*m + 313*m = 2*g - 308*m - 12 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 15*l - 780. What are the prime factors of l?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*r + 13 = 1, -4 = -p - 2*r. Let m(i) = 5*i - p*i - 8*i. Let n(a) = 2*a. Let c be (1\/3)\/(5\/90). Give c*n(z) + 2*m(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j - 3*j - 110 + 64)*(-2*j**2 + 0 + 0).\nAnswer: -8*j**3 + 92*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 75807 - 3?\nAnswer: 75804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 3*t. Suppose -4*q + 11 + 5 = t. Suppose 2*n + 3*l = 7*n + 3, -4 = -2*n - q*l. Solve 0 = -n*z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - p**3 + 0*p**3 - 21*p**2 + 56*p**2 + 3*p**3 to the form u + x*p**3 + h*p + r*p**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -44, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233650*v**3 + 202 - 202.\nAnswer: 233650*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**3 - 199*o**2 + 294*o = 0?\nAnswer: 0, 3\/2, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18093 rounded to the nearest one hundred?\nAnswer: 18100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1202777*w**2 - 492779 with respect to w.\nAnswer: 2405554*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15227*k - 30920*k + 15232*k - 1 + k + 1 + (1 - 3 + 0)*(0*k + 5*k - 4*k) - k - 3*k + 2*k.\nAnswer: -464*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -3)*9\/12. Suppose -x*l + t + 2*t = -27, 0 = -3*t + 3. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, m: 2}. Give prob of sequence kkkm.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*6)\/((-700)\/(-525))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 4*z - 64, 4*g + 4*z - 108 = -0*g. Suppose -4*r = 18 + g. Let c = -3 - r. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16661178?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 107, 112, 119, 128, 139, 152?\n\"Answer: u**2 + 2*u + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from hnhiprhhi.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3709?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t - 4*t - 2*t - 6*t. Determine g(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47632050 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*o + 4*r - 6, -3*r = -2*o + 21. What is the highest common factor of o and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - (51 - 60)) + (-1 - -5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - v - 1. Let b be s(3). Suppose 0*j = 3*j + 3*o, -b*j = -4*o + 18. Is j >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60343079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -10*u**4 + 486*u**3 - 2064*u**2 + 1736*u + 1056 = 0.\nAnswer: -2\/5, 2, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 347 = 3*n - 2832, 3*j - 5*n = 3680. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22151 is divided by 672?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 10. Suppose 0 = -s + w + 2, -2*w - 3*w = -s + y. Calculate the remainder when 23 is divided by ((-2)\/(-3))\/(s\/18).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0*g)\/g*(g*g\/(g**(-1)\/g))\/g*(g**(-2\/7))**(6\/11))**(4\/7) assuming g is positive.\nAnswer: g**(876\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/7 of a week in minutes?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -374 + 374. Which is the nearest to x? (a) 4\/3 (b) -3\/29 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 14*s + 3*s - s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490 = -4*q - 2*k, q = -k + 40 + 80. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 106*i**2 - 202*i + 627. Let q be h(-104). Let a(t) be the second derivative of -5*t**3\/3 + 2*t**2 - t. Determine a(q).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19910*x = -19916*x + 150 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38239, -152947, -344127, -611779, -955903, -1376499?\nAnswer: -1873567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 136064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4578676?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4455551312 + -1?\nAnswer: 4455551311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + 0*l + l)*(l**3 + 0*l**3 - 2*l**3) + 40*l**2 - 18*l**2 - 17*l**2 - 4916*l**4 - 5*l**2 as y*l**4 + c*l + j*l**3 + w + a*l**2 and give y.\nAnswer: -4919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*r + 12244 + 10825 + 3219 = 0. Which is smaller: -185 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 3*r**2 + 9*r + 4. Calculate i(-4).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**3 + 1906. Let y(w) = 27*w - 8. Calculate y(g(a)).\nAnswer: -81*a**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3138*v - 3138*v - 66261*v**2.\nAnswer: -66261*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 1\/6*q**3 - 4 + q + q**2. Suppose -9 = -3*m - 0*m + 3*v, -9 = -m + 3*v. Give r(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 6*m - 20. Let a(c) = m*c**3 + c + c**3 - 5*c**3 - 3 + 2*c**2 + 4*c**3. Calculate the remainder when a(3) is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - -7.9. Let g = -426\/271 + 1549\/813. What is the third biggest value in -1, g, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 27*v + 2 - 2. Suppose -2 = -4*y - 4*t + 6, 0 = 3*y + 5*t - 6. Let k(j) = 33*j**2 + 34*j**y - j + j - 66*j**2. Give q(k(l)).\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 401531 - -16.17.\nAnswer: 401547.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6236 + -6295.655. Let j = y - -54.7. Let t = 0.045 - j. Which is the third smallest value? (a) -1 (b) t (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.038 - 1.038. Let n = -414 + 428. What is the biggest value in b, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c**2 - 2*c + 2. Let v = -6 + 4. Let n(j) = 112 + j**2 - 54 - 57 + j. Let a(l) = v*n(l) + d(l). Find the second derivative of a(w) wrt w.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/9 - (-31)\/3. Suppose 0 = -19*n - 129 - 802. Is l + -7 - n\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1 - 1 + w. Let u(h) be the third derivative of 0*h**3 - 1\/8*h**4 + 0 - 5*h**2 + 1\/30*h**5 + 0*h. Give -3*g(s) - u(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2766.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 20, -6, -3, 1 in descending order.\nAnswer: 20, 2, 1, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 15\/(30\/8) + (25 - 9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2402211211 - 1?\nAnswer: 2402211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/2, -1\/4, 2.2, -4, 5.\nAnswer: -4, -1\/2, -1\/4, 0.5, 2.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 826669043 to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1330*l + 2632*l - 1370*l.\nAnswer: -68*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a - 2*a**3 + 6*a**3 - 616 + 276 - 2*a**2 + 3*a in the form q*a**2 + x*a + k + z*a**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 345661305 to the power of 1\/2, to the nearest integer?\nAnswer: 18592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 + 35*l**2 - 11*l + 393. Give k(17).\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207900*s**3 + 13598*s - 2 wrt s.\nAnswer: 1247400*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*u - 3583 - 550 = 3167 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + 0. Let m = 890 + -890.2. What is the closest to -0.1 in 4, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t + 1 - 57*t - 14*t + 64*t.\nAnswer: -17*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -3803?\nAnswer: -3807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5. Let i(p) = -p - 11. Let c(t) = 2*i(t) - 5*z(t). Let l be c(2). Put 4, -4, l in descending order.\nAnswer: 4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 44 = 2*g + 18, 0 = -2*g - 4. Calculate the highest common factor of 40 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21881 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 11:41 AM and 2:34 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -10\/3*z**4 + 0*z**2 + 0*z + 0 + 11\/3*z**3 - 1\/3*z**5 = 0.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*t + t**4 - 2*t**2 + 48*t + 29*t)*((-2*t + t - t)*(7 - 2 - 3) + t + 4 - 4 - 2*t + 0*t + 3*t).\nAnswer: -2*t**5 + 4*t**3 - 62*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 902888 (base 11) in base 8?\nAnswer: 5426201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 3*a - 16, j + 5*a - 59 = -79 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2188336 (base 9) to base 8\nAnswer: -4401557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 120 = 5*k, -5*j + 5*k + 301 + 339 = 0. What is the common denominator of (j\/125 + 0)\/(12\/15) and 45\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -39*y + 29*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s + 0*s - 2*s - 9. Let g be r(4). Put 0, -3, g in decreasing order.\nAnswer: 0, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + c = -3*c - 14, d = -4*c - 10. What is the second derivative of 4*j**d + 6 - 3 + 4*j - 3 wrt j?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 0, -15, 65 in decreasing order.\nAnswer: 65, 47, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 15*b + 61. What is p(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**2 + d + 13. Is g(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 7*o - 5. Let u be a(8). Solve t - 3*m = 3*t + 5, -u*t - 2*m - 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1785687 divided by 3.\nAnswer: 595229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21 - 17) + (-10)\/(-5))\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -553*z - 2. Let b(v) = 14*v + 1. Determine -3*b(o) - i(o).\nAnswer: 511*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 15*c**2 + 13*c + 19. Let y be b(14). Solve 5*d - 4*s = -5, 4*d + 5*s - 1 = -y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(756)\/sqrt(7) - sqrt(33)\/(sqrt(11) - -2*sqrt(11)).\nAnswer: 17*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9471 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v - 15 = -9*v, 4*d = -v + 6017. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/2)\/((-288)\/(-576)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 543*j**3 + 3 + 1169*j**3 - 3 + 2463*j**3.\nAnswer: 4175*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 1694.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 2. Let t = -8 + 16. Suppose 5*c - t - 7 = 0. Calculate the remainder when z(7) is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h - 34707 = 6908. Calculate the remainder when h is divided by 144.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*n + 2 = 81*n. Let t be (n - (3 - (4 + -2))) + 18. Suppose d = t*d + 18. Put d, -5, 2, -4 in decreasing order.\nAnswer: 2, d, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2142 - 1100?\nAnswer: -3242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 9:39 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3757 + 1879 + 1878 + 5*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 79991 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 12*f + 4. Let l be s(12). Let h(j) = j**3 - j**2 - 6*j + 2. Is h(l) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-2)\/4)*-34*44\/13464?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 + 51688*v**2 + 333904474*v - 668015716.\nAnswer: 2*(v - 2)*(v + 12923)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 132450631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*s + 137. Let y = s + -30. Let b = -5 + 11. Solve -2*m + b*m = -y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -49 (b) -4\/13 (c) -15\/928\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((154\/84)\/11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 8:35 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*d**2 - 305*d**2 - 547*d**2.\nAnswer: -709*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -4780 in ascending order.\nAnswer: -4780, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 9*y**2 - y + y. Let w(p) be the first derivative of -p**3\/3 - 9. Determine w(x(b)).\nAnswer: -81*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00054470389 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 212 - 638\/3. Let z = -2 + 2.1. Let f be (3\/12)\/((-1)\/(-6)). What is the second smallest value in z, o, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 17*g + 2. Let p be y(2). Let i = 38 - p. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhkk when four letters picked without replacement from hkhkkh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(15) + sqrt(375) + (sqrt(375) - 2*sqrt(375)))\/sqrt(3) + -2)*-2)**2.\nAnswer: -16*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 4*k**5\/5 + 5*k**3\/3 - 1. What is the third derivative of b(a) wrt a?\nAnswer: 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9639, 19252, 28841, 38394, 47899, 57344, 66717?\nAnswer: 76006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/9 - 3850*w**2\/9 - 1711444*w\/9 + 6907504\/9 = 0 for w.\nAnswer: -1223, -706, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 2*p**2 + 20*p + 48. Give q(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + s - 2. Let z be m(-2). Suppose -2*i + 33 = -3*u, z = -4*u + 24. Let b = 27 - i. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -886*k - 1248. What is the thousands digit of o(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.4 + -8. Let d = -61 + 673\/11. Let r = 59 + -119\/2. Put d, o, 0.3, r in ascending order.\nAnswer: r, d, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2181324245+202.4\nAnswer: -2181324042.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 85 and 6613?\nAnswer: 33065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q - 39*q - 18*q)*(-3*q**2 + q**2 + q**2)*(q - 3*q + 0*q) to a*q**3 + t*q**4 + w + g*q**2 + i*q and give t.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 32\/723?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*z - 28 = 0, 18 - 124 = 5*k - 2*z. Let j be 0 + 0\/3 - -8. Let i = k + j. Is -11 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180979 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1925993, -3851968, -5777943?\n\"Answer: -1925975*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 6:37 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 1. Let r be i(-4). Let w be (-1*3)\/(r\/(-2)). Let p = 551\/9 + -61. What is the nearest to 1\/4 in w, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 5. Let o be 1 + 1 + (3 - 1). Let z(g) be the third derivative of -g**4\/24 - 2*g**3\/3 - 4*g**2. What is o*k(i) + 5*z(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1767 = -q - 3*j, 2*j = q + 866. Calculate the common denominator of -35\/8 and 1\/(-4) + q\/80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -46238, -185010, -416312, -740150, -1156530?\n\"Answer: -p**3 - 46259*p**2 + 12*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1 + sqrt(32))**2 - 4*(sqrt(2)*-1)**2).\nAnswer: 16*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24728 is divided by 217.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 52.7 * -5\nAnswer: -263.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204.6946 nanoseconds to seconds.\nAnswer: 0.0000002046946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*a + 3942 = 0, -4*n + 6178 = 4*a - 9566. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51b83a76 + 1?\nAnswer: -51b83a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.5 and 29 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -216 + 207. Let b(d) = 2*d - 1. Suppose 9 = -3*n - 3. Let v(z) = -5*z + 2. What is n*v(f) + s*b(f)?\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -43435.77.\nAnswer: -13030.731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 + 1294*n**2\/3 + 184579*n + 26153364.\nAnswer: (n + 393)**2*(n + 508)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57122*d*s - 3*s - 3743 wrt d.\nAnswer: -57122*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b - b**3 + 2*b**3 - 4*b**2 + 2*b**2 + 3*b to p*b**2 + c*b**3 + t*b + m and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, 168, 157, 142, 123?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-15) + 21\/5. Let b = -5 + r. Is 1 + (46 - b) + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 0, 8 in decreasing order.\nAnswer: 8, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 6*j**2 + 8*j + 12. Let o be b(7). Let y(m) = o - 12 + 2*m + 5 + 27. Is 17 a factor of y(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 2*v**6\/15 - 4*v**5\/25 - v**4 + 4*v**3\/15 + 16*v**2\/5 + 16*v\/5 - 4. Let h(x) = 0. What is x?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.84475 litres in millilitres?\nAnswer: 85844.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbrppeppvpptbevbpp. What is prob of sequence erp?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -y + 18, 4*x = 689*y - 684*y - 35 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -29*i - 148. Let c be (-2)\/((-12)\/21)*50\/(-25). Let v be f(c). What is the greatest common divisor of 187 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b - b + 3*b + (4 - 27 + 2)*(-13 + 9 + 4 - 89*b) as n + s*b and give s.\nAnswer: 1871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2 - 220*a - 61884 = 0. Calculate a.\nAnswer: -162, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -14*a**2 - 2113*a + 62. Determine f(-151).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/6240 and -61\/50?\nAnswer: 31200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-6) - 1)*12. Let h be (-3)\/q*226 + -1. Suppose 0 = -2*x + 3*x - h. Is 20 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1760, -4593.\nAnswer: -4593, 2, 1760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 1. Let f(k) = -11*k - 10. Calculate -6*b(c) - f(c).\nAnswer: 17*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7356109 by 5.\nAnswer: 7356109\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*k + 1)*(-2*k + 4 - 4) - 5*k**2 + 891*k - 891*k + 4*k**2 - 5*k**2 + 0*k**2 as d + z*k**2 + h*k and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 2. Find the third derivative of -2*u**p + 2*u**4 - 7*u**6 - u**2 + 9*u**6 wrt u.\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 348360 by -20.\nAnswer: -17418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(-3) + 1\/((-12)\/36). Sort g, 2, -2, -0.08 in decreasing order.\nAnswer: 2, -0.08, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*w + 33*w + 3*r + 14, 5*w - 4*r = 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)\/(sqrt(176) - 2*sqrt(176) - sqrt(176)) + 5 - (5*sqrt(605) - (sqrt(15)\/sqrt(27) - sqrt(5))))*-6)**2.\nAnswer: -20085*sqrt(5) + 8979005\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 6:17 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*w + 195*w**2 + 12*w - 2*w**3 + w + 3342*w**2 to p + r*w + n*w**3 + b*w**2 and give b.\nAnswer: 3537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 2c6?\nAnswer: -2c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-5))\/3)\/(10\/100)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2407 divided by -1.\nAnswer: -2407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -16 + 0 + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1004, -1361, -1324, -893, -68, 1151, 2764?\nAnswer: 4771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1\/4, -1124, 1.9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1821, -2883, -4651, -7125?\n\"Answer: -353*c**2 - 3*c - 1465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -24*a**3 - 28*a**2 + 44*a + 8 = 0.\nAnswer: -2, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*z + 68 = -20*z. Suppose -2*o = 0, -4*p + 9*p - 35 = -4*o. Solve p*b = z*b - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x - 6. Let n(a) be the third derivative of a**5\/30 - 8*a**2. Give n(c(z)).\nAnswer: 18*z**2 + 72*z + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-11)\/(-12))\/11)\/(2\/(-8))*21\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 2) to base 11\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + b = 19399, 2*b - 5980 - 6946 = -2*y. Suppose 2*v - 213539 = -5*t, 4*v - 36247 - y = -t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12423 and 909?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 202.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -6 (b) -2\/9 (c) 2 (d) 2\/89\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (13*(-12)\/(-624) - 321\/44)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 234\/19, -2\/173, -1\/6?\nAnswer: 234\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-7) - (-1)\/(21\/297). Let o(p) = -p**2 + 26*p + 61. What are the prime factors of o(b)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6 - 1 + 3*n + 1 - 54*n**3 + 52*n**3 + 9. Let m(v) = 5*v + 1. Let r be m(-1). What is the hundreds digit of l(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22 (b) 6 (c) 1 (d) -5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-11484 - 11447 + 22969 - 13*q).\nAnswer: 13*q - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -29. Let r = 2 - g. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1\/6, -2\/5, -5, 3.75.\nAnswer: -6, -5, -2\/5, 1\/6, 3.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**5\/240 - w**4\/32 - w**3\/12 + w**2 + 2. Let i(a) be the second derivative of x(a). Find y such that i(y) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10434.041 + -10439. Let a = 0.041 - f. What is the third biggest value in a, 0.5, -0.3, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2474\/85 - -488\/17. What is the second biggest value in d, -271, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10776 and 48.\nAnswer: 21552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23076\/5 + -2838548\/615. What is the common denominator of w and -23\/410?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3252685, 3252687, 3252691, 3252697, 3252705?\nAnswer: 3252715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 4114462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7536 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, b: 2, l: 2, r: 1, v: 1}. What is prob of sequence vrll?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 744, 738, 728, 714, 696, 674?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(272) + -1 + 2) - (sqrt(272) - (-1 + sqrt(272))*-5)*5.\nAnswer: -104*sqrt(17) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -14*x**2 - 27*x - 2. Let d be a(-2). Let i = 104\/33 + -10\/3. Sort d, -5, i, 4 in descending order.\nAnswer: 4, i, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/42*(-21)\/56*(-49)\/(-147)*-8.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/3 - 0. Let g = 99 - 98. Which is the nearest to h? (a) g (b) -3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 6*w - 56 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*w = -9, -4*r + 2*w + 13 + 9 = 0. Solve -3*o - r + 0 + 3 + 0 - o**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -1591, 0 in ascending order.\nAnswer: -1591, -46, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-6) + 1010\/12. Let m = -83 + f. Put -0.1, m, 2\/5 in decreasing order.\nAnswer: m, 2\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329*m = 291*m + 798. Solve -3*v = m*v + 48 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/36*(-2)\/(20\/15)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148 and 1863542?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 75 = -5*j, 2*p - p + j + 7 = 0. Let k(t) = -27*t + 70*t + 13*t + 9 - 27*t - 28*t. Calculate k(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128, -0.3, -0.4, -5, -10\/7, 1 in decreasing order.\nAnswer: 1, -0.3, -0.4, -10\/7, -5, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582 is divided by 185.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*g - 1 + 7, -k = 3*g. Let r = 460857 + -460860. Sort r, k, 5, 0 in decreasing order.\nAnswer: k, 5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9159845302 less than -931?\nAnswer: 9159844371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 810?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 2*j**2 + 2*j - 4. Let x = -26 - -25. Let n = 1 - x. Let o be d(n). Solve 6*w - 2*w - 4 = o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 334944000 to the nearest 1000000.\nAnswer: 335000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-18)*9)\/((-14)\/28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-20)*(1 + 39). Suppose 11 = -u + j. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (892 - 945 - (-17 - 2))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 348 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-7))\/((-390)\/(-40) + -10)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7944316 and 11.\nAnswer: 7944327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16154\/5 - -3230. Which is the nearest to -3? (a) -4 (b) 0.2 (c) -3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i = 360394 + 645868 - 148842. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**5 + 19*j**2 + 3 - 19*j**2 + (-50*j**4 + 10*j**4 + 24*j**4)*(-4*j + 3*j - j) + 2*j**5 + 0*j**5 - 4*j**5 + j**5 + j**5 + j**5.\nAnswer: 36*j**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/4)\/42*49\/((-5488)\/(-96)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (465153\/(-65))\/((-6)\/35) - (-1)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 90 - 20?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*i + 247*i - 56*i)*(4 + 1 - 4) + (2*i + 3*i - 6*i)*(-4 + 6 - 3) to the form x*i + b and give x.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -265682548 divided by -1?\nAnswer: 265682548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -6107411?\nAnswer: -6107407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 + 4*n**3 + 212*n**2 - 53*n + 9*n + 16*n + 30*n as r + l*n + j*n**2 + s*n**3 and give j.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 26730495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 143d - 1db?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b - 2*b**2 + 3*b - 5 + 5 - b**2 + (-1 - 5 + 0)*(-4*b**2 + 0*b**2 + b**2) to c + l*b**2 + o*b and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/5 (b) -0.2 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0 + 4 = 0. Suppose -4*v + 2*v = -2*t, 0 = j*t + v - 10. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 55, -0.5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 5. Let b = 26 + -19. Let q(a) = 2*a - 9. Let i be q(b). Give c(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -404 divided by 23\nAnswer: -404\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 - 9*v**2 - 3*v - 4*v.\nAnswer: -13*v**2 - 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2403, -19418, -65589, -155490, -303695?\nAnswer: -524778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4 = 2*g, -2*g - 2 = -g + 3*x. Is 13 a factor of g + (5 - -2) - -301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6 + 33964\/5663). Let l(z) = 7*z**3 - 3*z**2 - 5*z - 8. Let m be l(6). Let a = m + o. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, s: 5}. What is prob of picking 2 s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-35) - 7\/21*3\/(-7)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288 + 163*t + 556 - 268.\nAnswer: 163*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2. Let u be t(-1). Suppose 5*n + 2 - 22 = 0. Suppose u*b - 22 = n. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and 567070?\nAnswer: 9073120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 303 + -305. Put 2\/7, 5, d in ascending order.\nAnswer: d, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*z = -10, -2*t + 4*z - 2 = -10. Suppose 3*u - 6*u + 7893 = t. What is the common denominator of u\/54 + 6\/(-27) and -31\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**3 + 599*b**2 + 3283*b - 625. Give o(205).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -9*v. Solve 0 = -3*z - v*z - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-3 - -3 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/224*4\/(-18)*(-6)\/(-4)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -113.202 * 0.3\nAnswer: -33.9606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1512 - -1498. What is the smallest value in -5, -0.4, o, -6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 22 (b) -4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 112*p = -114*p - 189084, 0 = 5*f - 3*p - 236352. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 s when three letters picked without replacement from {x: 1, s: 2, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 51.53159 minutes?\nAnswer: 3091895.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*d - 5*d - 2*d**3 - 3 + 41*d**4 - 7*d**2 - 18*d + 3*d**2 + 3*d**2 as m*d**3 + v*d**2 + y*d**4 + h*d + k and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 11 = 5*y. Suppose y = 2*k + 7. Factor -37*v + 12*v**k - 46*v + 1 + 75*v - 8*v**3 + 2*v**4 + 1.\nAnswer: 2*(v - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d - 38*d = -9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-15))\/(8\/180*-6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u - 22*u = 2*f - 30, -2*u + 3*f - 41 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 0. Let w(n) be the second derivative of 29*n + 0*n**2 + 1\/6*n**3 + 0. Give w(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0 (c) -12 (d) 4 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6613258*n**2 + 251*n - 47773 wrt n.\nAnswer: -13226516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4477 = -270*w - 2807 + 1890 + 18310 for w.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04767537 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3*h + 146, -2*w + h + 58 = -0*w. Let g = -17 + w. Solve 3*t + g + 1 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j**2 + 3*j**2 + 2*j**2)*(-60 - 76 + j + 81).\nAnswer: -2*j**3 + 110*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3\/2 - 89*i**2 - 5014*i - 90988 = 0. Calculate i.\nAnswer: -86, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(3\/4)\/g)*g)**(-4\/3)*(g\/g**(-7))\/((g\/g**(-2\/19))\/g))**7 assuming g is positive.\nAnswer: g**(651\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95 + -77. Let a be 54\/l - 3*1. Factor 2\/13 + a*h**2 + 4\/13*h - 4\/13*h**3 - 2\/13*h**4.\nAnswer: -2*(h - 1)*(h + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h = 44 + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, y: 5, v: 2, s: 1}. What is prob of sequence ys?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -899, -1839, -2793, -3767, -4767, -5799, -6869, -7983?\n\"Answer: -j**3 - j**2 - 930*j + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 4 - 4 + (-3 + 6 + 8)*(-2*z**2 - z**2 + 5*z**2).\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 35*h + 8. Calculate the remainder when (-3 + 3 - 4 - -2) + 127 is divided by i(-34).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((22\/((-264)\/(-18)))\/((-6)\/8))\/(306\/7497)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42, -85, -128, -171, -214?\n\"Answer: -43*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(0*g**2 + 3*g**2 - 6*g**2) + (0*g - g + 2*g)*(1 - 1 - g).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 17771 and -0.5011.\nAnswer: 17770.4989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*r - 30 + 198 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13298605, 26597196, 39895787, 53194378, 66492969?\nAnswer: 79791560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2 + 2*a + 3. Calculate l(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -11*o + 16*o - 48 + o + 2*o - 129374*o**2. Let u be c(4). What is u rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -1481 in decreasing order.\nAnswer: 0, -3, -1481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**4\/4 - h**2 - 5*h - 2. What is c(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-553)\/(-126) + 4\/36)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-56)\/(-30) - (117\/135 - 1). Suppose 3*h - 2*r = 1396, -r = 4*h - g*r - 1853. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y. Let p be r(3). Suppose 2*l - p*z + 5*z + 102 = 0, 5*z = 4*l + 204. Round l to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 11169380.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4617478, -4617482, -4617486, -4617490, -4617494, -4617498?\nAnswer: -4617502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5385\/3231*5\/(25\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2884 = 153*q - 149*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 9 + -6 + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -261?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -351 + 360. Suppose 0*o + 95 = 5*b - 3*o, -5*o = 25. Suppose 21*g - 35 = b*g. Calculate the least common multiple of g and v.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3121, -4527, -5943, -7375, -8829, -10311, -11827?\nAnswer: -13383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**2 + 4. Let r be l(-2). Suppose -3*p + 2*q = -r, -4 + 0 = 4*q. Suppose p*i - 27 = 3*i. Calculate the highest common divisor of i and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*n**2 - 14*n**2 - 12*n**2)*(3 - 3 - 5)*(1 - 1 + 3*n).\nAnswer: 705*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 42 = p. Let s be -6 + -2 + 6 + 13\/p. Suppose -s*o - 12 = -7*o. What is the biggest value in o, 6, -0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**2 + 250*z + 520 = 0.\nAnswer: -2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 10*f + 41 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 w, and 1 a when four letters picked without replacement from {c: 2, a: 1, w: 4, m: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 + 33 = -5*b. Solve -4*x = 3*w + 17, 0*x - 3*w = x + b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3, -6, -4, -100, 1 in ascending order.\nAnswer: -100, -8, -6, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -142, 0, 0.1, 8\/3, -5 in ascending order.\nAnswer: -142, -5, 0, 0.1, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhchshhhch. Give prob of sequence hc.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8\/7 (b) -3 (c) 0.01 (d) -4 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -22. Let i be 1\/w*(-9 - -9). Is i equal to 1\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*o**5 - 136*o**4 - 36*o**5 - 144*o + 24*o**5 - 7 wrt o?\nAnswer: -40*o**3 - 1632*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/25 of a second?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 914*t**2 + 29*t. Let w(p) = -2*p - 21. Determine w(k(g)).\nAnswer: -1828*g**2 - 58*g - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 598\/(-6) + (-14)\/42. Calculate the common denominator of 101\/2 and -4 + (-365)\/p + -4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1257 divided by -178?\nAnswer: 1257\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ucmucuczuzz. What is prob of sequence cucm?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100335 = 6*v - 131895. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*n = -304, 123*m = 119*m + 4*n + 560. Let z = -3 + 19. What is the highest common divisor of m and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*c - 36*c**4 + 4 + 37*c**2 + 23*c**2 + 2*c**3 + 16*c**4 = 0.\nAnswer: -2, 1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18618038 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r - 1260 = -21*r. Let w be (-60)\/r*3\/(-4). Which is the closest to 3? (a) -2\/11 (b) -2 (c) 3\/4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + (-44 - (17 - 42)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 23*d - 24. Determine v(9).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 130505311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a + 3 + 0*a - 2 - 8*a as b*a + z and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -161, -378, -677, -1052, -1497, -2006, -2573?\nAnswer: -3192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126056531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6\/12*0)\/((-2)\/(-2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-1\/10)\/h*h)*h*h*h*h)\/h**(-8\/7))**(-6\/31) assuming h is positive.\nAnswer: h**(-1101\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*b - 7. Let x(p) = 2*p**2 + 2*p. List the prime factors of x(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*t**3 + 340*t**2 - 12*t = 0. What is t?\nAnswer: 0, 1\/28, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66348 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, -5, -0.2, -0.08?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 10:45 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 132 + -140 - (-45 + -1)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*k = -41, b + b + 2*k - 64 = 0. Let q = b + -33. Solve q*w - 10 = 5*c, -2*c + 6*c + 5*w = -41 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532426 is divided by 509?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8)*(-18)\/(-6))\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.992 + -0.102. Let s = -0.853 + c. Let m = -11 - -10. Is s > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -14*n**2 + 350*n + 34. Calculate p(25).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25533691 or -25533690?\nAnswer: -25533691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/6)*k)**(1\/40)*k**(-9)*k**(2\/81) assuming k is positive.\nAnswer: k**(-57863\/6480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w**2 - 4*w - 4. Let c(n) = -7*n**2 + 5*n + 5. Let g(a) = -4*c(a) - 5*x(a). Let o(b) = 9*b. What is o(g(f))?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.297063 to two decimal places.\nAnswer: -10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6146, 6137, 6128, 6119, 6110, 6101?\nAnswer: 6092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (168\/(-63))\/(0 + -4). Let q(t) = t**3 - 3*t**2 - t + 3. Let f be q(3). What is the second smallest value in 5, f, -4, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3744 (base 10) to base 6.\nAnswer: -25200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 258 - 253. Which is greater: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by -20*(-12)\/96*22.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 101, 1244, 3395, 6554, 10721, 15896?\n\"Answer: 504*z**2 - 369*z - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4998\/(-735) + (1 - -6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*i + 1649 = -242*i for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2357*q**3 + 4*q**2 - 21*q + 25. Is z(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*q + r - 185, 3*q - 4*r = 115. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6819 - 3260. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 2*i**3 + 2*i**3)*(2300 - 2300 - 84*i**2).\nAnswer: -168*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**5 + 40*b**4 + 132*b**3 + 160*b**2 + 64*b = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45829, -45853, -45879, -45907, -45937, -45969, -46003?\nAnswer: -46039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13405 + -569217.\nAnswer: -582622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**2 + 138545776*s - 2399366505930272 = 0?\nAnswer: 34636444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-12))\/((-7)\/(-6)). Let t = -388 + 388.4. Is t bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.9 + -19.8. Let d = k + 11.900000728. Round d to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - h + 58. What is t(-11)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2390553.3277483 - 5\nAnswer: -2390558.3277483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**5\/20 + v**4\/12 - v**3\/6 - 4*v. Determine a(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -2, -1, 3, 548, -4 in descending order.\nAnswer: 548, 3, -1, -2, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 2*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 48 = -2*v. Let t = -131 - -126. Let p be (-9 - t)\/((-1)\/18). Calculate the highest common divisor of p and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1044 - -13242?\nAnswer: 121a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 485917 and 3568?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + d - 2. Suppose 0 = -w - 2*w - 6. Let k be h(w). Solve 3 = 3*q + 9, v = k*q + 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/2 - (0 - -1 - 5). Calculate the lowest common multiple of 14\/(-49) + (-3)\/w*-38 and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -485, -1094, -1947?\nAnswer: -3044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6105 and 151515.\nAnswer: 1666665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1987650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-16)\/24 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 3*p + 16*p)*(-1 - 3 + 3)*(0*p - 9*p + 2*p)*(0*p**2 + 2*p**2 - p**2).\nAnswer: 84*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 4\/9, -0.2, 2\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*w = -2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = w + 178, 50*l - 5*w + 314 = 54*l. Solve 28*x + l = 226 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbgbbgbggbbbbb. Give prob of sequence ggb.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 285291 by 92.\nAnswer: 285291\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.23*0.85\nAnswer: -0.1955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8440 + -8338. What is the highest common factor of c and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.83 - 9809982\nAnswer: -9809991.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1131 + -254. Suppose -2*p - i = -8063. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-141 - -35)\/((-3)\/(-27)*-3). Calculate the greatest common factor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4853*c**3*f**2 + 6*c**2*f**3 + 458482*f**3 wrt c.\nAnswer: -14559*c**2*f**2 + 12*c*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuuw. Give prob of picking 2 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 20. Let a = 26 + -84. Let g = p - a. Is 35 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1764 divided by -12.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 24*q - 52. Let i(c) = -c + 6. What is -2*i(m) + o(m)?\nAnswer: 26*m - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 20\/(-15)*3 - -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*y**2 - 5*y**2 + 4*y**2 + (4*y**2 + 0*y**2 - 6*y**2)*(-5 + 0 - 1) + 0*y**2 + 0*y**2 + 2*y**2 in the form j*y**2 + v + z*y and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 158 = -458. What is the greatest common factor of w and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2\/4 - 1565*v\/4 + 2751 = 0. Calculate v.\nAnswer: -1572, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5334, 14374, 29418, 50448, 77446, 110394?\n\"Answer: -3*w**3 + 3020*w**2 + w + 2316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-5))\/((-369)\/(-205)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28, -142, -416, -928, -1756, -2978, -4672?\n\"Answer: -13*a**3 - 2*a**2 - 17*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -42340, 7, -64?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 14*f**2 + 2*f - 24. Let m be d(14). Let a be 1\/(10\/m - 2) + -643. What is a rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1370 divided by 3139?\nAnswer: -1370\/3139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 154*y**2 + 145*y - 2261. What is the ten thousands digit of j(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9561, -16542, -23523, -30504?\n\"Answer: -6981*s - 2580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0*(s**3\/s)\/s)**(2\/47))**28 assuming s is positive.\nAnswer: s**(56\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 + 81 = 10*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-2*n - 2*n + 3*n) + (n + 0*n - 3*n)*(0 + 3 - 4) - n + 7*n - 2*n + 3*n + 0*n - 2*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -602 divided by -2.\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 328*i - 655. What is the remainder when 672 is divided by n(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 2:00 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(-11\/7)*t\/(t**1*t)*t\/t**(-2\/9) assuming t is positive.\nAnswer: t**(113\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3764 - 0.1236. Sort -2, o, -0.165 in descending order.\nAnswer: -0.165, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/2 (b) 1\/7 (c) 0.32105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -164 in 0, 0.5, 0.4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x = 5*v + 48 + 38, -v - 31*x - 18*x - 24*x = -75*x + 2 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17388 is divided by 2479.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 273 divided by -1474\nAnswer: -273\/1474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12498539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151432 is divided by 29828.\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15136 is divided by 223.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*b - 26*b + 6*b**2)*(6*b - 3*b - 7*b) + 4*b**3 - b**3 - b**3 as k*b**3 + m + f*b**2 + w*b and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240628944*j = -240628610*j + 34402 for j.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 124 + -4 - (-6 + 1). Let y = -63 + g. Let o(c) = 2*c + 3. What is the remainder when y is divided by o(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/64 and 21\/3008.\nAnswer: 3008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 777585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2216, -4450, -6686, -8924, -11164, -13406?\nAnswer: -15650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*z - 146 + 84*z + 33*z + 51 + 37*z to the form u + q*z and give q.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/4 + (-12)\/(-24). Let l(c) = 7*c + 4. Let n(d) = -8*d - 5. Calculate g*l(u) - 6*n(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 6:57 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from {a: 5, v: 15}?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 173 in -3, -4\/7, 0.5, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1 - (-17 - ((-2)\/12 + 38036\/(-888)))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/783 and -7\/9?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*u - 99*u + 241*u - 3*u + 287*u.\nAnswer: 525*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 73 = -3*y, -4*q = 2*y - 3*q - 40. Suppose -17*c + y = -20*c. Let m(h) = -h**2 - 2*h + 9. Let n(d) = d**2 + 3*d - 13. Calculate c*m(x) - 5*n(x).\nAnswer: 2*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*6\/27*2*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5493 and 316358349.\nAnswer: 5493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 7*w**2 - 17*w - 12. What is z(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 12*r - 11. Let c be i(-8). What is the greatest common divisor of 21 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 22.1658 millilitres?\nAnswer: 0.0221658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + 5*sqrt(1088))*6 + 5)**2 - (2*sqrt(1088) + -1 - -4*(2 + sqrt(1088)))**2.\nAnswer: 2208*sqrt(17) + 1370856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 147.\nAnswer: -1\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13043*t - 1 - 5 + 4 + 13027*t.\nAnswer: -16*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 88186*138\nAnswer: 12169668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.185 * -5\nAnswer: 5.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*z - 65, 95 = 6*z - 3*z - 2*i. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 639340 + 389660. What is q rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1331) - sqrt(1331) - sqrt(66)\/sqrt(6)*6)*4*-5.\nAnswer: 1220*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 7:05 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24 + -9)*22\/3. Suppose -5*h + 1 = 3*r - 4, 4*h = 4*r - 28. Suppose 0 = y + 3*k - 54 + 16, k = r*y - f. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**2*q**5 + 190*o**2*q**4 + 92*o**2*q + o**2 - 2*q wrt q?\nAnswer: -20*o**2*q**3 + 2280*o**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 80*z - 335. Let v be y(-84). Is -470\/7 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 24903 = -2*z + 24899, -l - 14 = -5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*f**2 + 1 + 2*f**4 - f**4 + 11*f**2 wrt f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12893177.\nAnswer: 11, 1172107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144 - 210. Is 4\/(-6)*l\/4 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 4. Give b(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 23*n - 550. What is t(24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -157*r + 1059. Calculate d(7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 2, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 10911765?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-37)\/13 + (-2)\/13 - -9. Suppose 40 - 382 = -z*o. What are the prime factors of o?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + n - 2)*(-3*n + 2*n + 2*n) - 172*n + 17*n**2 + 172*n)*(-2*n**2 - 3*n**2 + 8*n**2) - 2*n**4 + 2*n**4 + n**4.\nAnswer: 55*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/35 - (-44)\/7. Suppose 3*p + u = -s - 4, 12 = -2*s - 4*p. Factor 3*h**2 - h**2 + h**5 - 3*h**4 + s*h**3 - 5*h + 1 + 2*h.\nAnswer: (h - 1)**4*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2572606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 + 1707106?\nAnswer: 1707060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 521 divide 20804422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/7 - 12912*n\/7 + 13893312\/7.\nAnswer: 3*(n - 2152)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*t, -3*f - 4 = -f - 2*t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 8 = -g. Suppose 77 - 13 = 16*l. Solve l*x - 6 = v, -5*v - 14 = -2*x - g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2862124152 to the power of 1\/2, to the nearest integer?\nAnswer: 53499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301122 is divided by 23157.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -44719.\nAnswer: 11\/44719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-228)\/(-437)*5\/(-20)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*sqrt(6)\/(sqrt(2) + sqrt(162)*2 + sqrt(162) - sqrt(2)).\nAnswer: 16*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a89a30 - 16?\nAnswer: a89a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470205270 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.618738 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 8 = -3*p, 5 + 1 = 3*i. Suppose -380 = p*k + 160. What is k rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/70 + (-116)\/14. Let d be v\/(-8) - (2 - 4\/3). Which is the closest to 1? (a) -2 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109557.\nAnswer: 3, 7, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 12\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4998 divided by 238.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/4230 and -181\/14100.\nAnswer: 42300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84 + (102 - 177) + (-2 + 3 + -5 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 6543 + -1 + -3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**3 - f**2 + 3*f + 10. What is the units digit of z(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuuuuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4) + (-1)\/2. Let d = 2 + r. Let w be 0\/(-2) + 3\/d. Which is the third biggest value? (a) 0.1 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*l + 2*i, -l + 5 = 2*i - 7. Suppose -w + 0*g = l*g - 345, -4*g = 0. Suppose 0 = 5*n - 0*n - w. Is n a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 49. Let p = 33 - s. Suppose -2*m + 1 = -5. Solve 4*q - 4 = -0*q, -m*q = -3*i + p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*c + 5141 = -2148 - 245 + 1630 for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**2\/9 - 260*u\/3 + 76048\/9 = 0.\nAnswer: 194, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c - 18. Suppose -3*l + 4*w = -14, 2*l - c*l = -4*w - 16. Let g = 14 - l. Calculate the remainder when 35 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 6*o**2 + 5*o - 5. Does 16 divide w(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. Let y be o + 1 + (-1007)\/309. Let b = -11159\/1854 + y. Calculate the common denominator of -89\/14 and b.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -133*p**3 - p**2 - 2*p. Let n be o(-1). Suppose -2*v - 3*r + n = 0, -3*r = -5*v - 6*r + 344. Which is smaller: v or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 11*h - 7)*(0 + 1 + 1)*(0 + h + 0).\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 2*w + 11. Let q be l(-4). Solve 7*f - q - 9 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 1:56 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 7*q + 252. Let s be ((-2)\/4)\/(9\/q). Suppose 0 = -1555*j + 1548*j + 56. Solve j = s*i - 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -159*l + 33. Suppose 4*i = 16, 2*j + 0*j = i + 22. Let s be c(j). Let g = 3457 + s. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 r when three letters picked without replacement from rrss.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 10, 5*i + 5*m - 4*m = -5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -496, -3833, -12832, -30325, -59144, -102121?\n\"Answer: -472*u**3 + u**2 - 36*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000145728 to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpr when three letters picked without replacement from rijindpr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 m when four letters picked without replacement from {k: 3, m: 5}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -15*y**3 - 7*y**2 + 6*y - 7. Is r(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-13 + (1528\/152 - -3)).\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvt when three letters picked without replacement from vvtemekkttmt?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 591289268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11002442 (base 5) in base 12?\nAnswer: -46576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (18 - 28) - (-7 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 2*u**2 + u. Let h = -11 - -8. What is the remainder when 10 is divided by f(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 2379.\nAnswer: 11895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwtnkrb. Give prob of sequence bw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1178214 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55 or -65?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62956164 is divided by 189627?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 107*i**3 - 10 + 25.\nAnswer: -107*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 5846 + 5822 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2580042?\nAnswer: 2, 3, 430007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14708495 and 0.1.\nAnswer: -1470849.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-21))\/((-60)\/(-18))*12.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 8 = 0, 3*w - 385 = -0*w + 2*f. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 8*f**3\/3 - 5*f. Let t(h) = h + 1. Let r(v) = -14*v - 12. Let g(u) = r(u) + 12*t(u). What is y(g(z))?\nAnswer: -32*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 2:49 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.512 - 0.512. What is the third smallest value in 2\/97, g, 2\/21?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -13*h + 24. Let z(p) be the first derivative of -1\/2*p**2 + h - p. Calculate z(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07276 rounded to 3 dps?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*n**2 - 49*n**2 - 50*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 9 = -s + 2*s, -2*s - 3 = -t. Let f(z) be the second derivative of 0 - z + z**2 + 1\/3*z**t. What is the derivative of f(g) wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*z + 1350 = -8*z. Is (-5412)\/(-10) + 6\/z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.35 + -3.85. Let v be 8\/(-12) - (-28)\/6. Which is the fourth smallest value? (a) -6 (b) -0.4 (c) i (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113529044 divided by -28382261.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1562 - -1a81?\nAnswer: 3423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 41. Let w = n + 43.99894. What is w rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-21))\/t*t\/(t*t\/t**(6\/7)) assuming t is positive.\nAnswer: t**(-148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 + -6 - 7 - (-13 - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 - 10*k**2 - k - 20. Let o be c(-9). Suppose 0 = -3*b - 4*p + 3*p + 641, -3*b + o = -p. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from reregehrvherrerq. What is prob of sequence qg?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -14*u - 2. Let b(n) = 799*n**2. What is b(f(h))?\nAnswer: 156604*h**2 + 44744*h + 3196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -16. Solve 4*v - 5*v - 2 = g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 3*p + 14*p + 1992*p**2 - 2*p.\nAnswer: 1992*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 418407 or 418399?\nAnswer: 418399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73.02 - 68.02. What is the fourth biggest value in k, -0.5, -0.1, 0.2, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*f - 12, 126*p - 3*f - 12 = 122*p. Solve p*z + 7*z = 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4596226.\nAnswer: 2, 73, 31481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + o**2 + 1. Let n(t) = -105*t**4 + 6*t**3 - 2*t**2 + 2*t + 4. Let p(u) = -4*k(u) + n(u). What is the third derivative of p(w) wrt w?\nAnswer: -2520*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w. Let t(h) = 3*h + 1. Suppose -4*c - 60 = -5*n - 170, 0 = -5*n + 3*c - 105. Let u(z) = 11*z + 5. Let i(g) = n*t(g) + 4*u(g). What is x(i(q))?\nAnswer: 70*q - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f**4\/2 + 225879*f**3\/2 - 241554*f**2 - 4419246*f - 6968592 = 0.\nAnswer: -27\/7, -2, 8, 10754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + y + 1899. Let l be 0 + -1 + y + -1. Suppose -z - l = z + x, 4*z = -4*x - 3788. What is z rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 486826\/2157 - 21\/719. Let w = f + -229. Let t = 4 + w. Put t, -0.3, 1\/2 in increasing order.\nAnswer: -0.3, 1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297617 is divided by 1424?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vztttcfltvfvvtz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 10 (b) 1 (c) -1265\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 848 and 9487.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 12:57 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 192?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 14*x = -2160. Let h = 320\/3 + x. What is the common denominator of -37\/13 and h?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -802 - -1179. Calculate the remainder when p is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 1. Let j(k) be the first derivative of 2*k**2 - 3*k - 13. What is j(z) + 3*r(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 22*w + 5. Let z(h) be the third derivative of -11*h**4\/8 - 7*h**3\/6 + 743*h**2. Determine -7*g(y) - 5*z(y).\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) -2\/17 (b) -1\/7 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - 0.1. Let t = x - 1.1. Let p = t + 1.7. What is the closest to 1 in -1\/3, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -34*b - 23. Suppose -86 = -18111*g + 18061*g - 236. What is f(g)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 168\/(-30)*-20*1. Suppose 0 = l - 5*l + p. Calculate the remainder when 28 is divided by 4\/(-14) - (-288)\/l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofzfoiiifiiooi. What is prob of picking 1 i, 1 o, and 1 f?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + 85 + 37 + 89 + (-19*a - 16*a + 24*a)*(-a - 4*a + 3*a) + a**2 + 4*a**2 - 3*a**2 to the form r + k*a + j*a**2 and give r.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 381 + -386. What is the nearest to -2\/3 in c, -3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 5:14 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**3\/6 + p**2\/2 + p. Suppose 3*x = x - 5*n + 11, -n = 5*x + 7. Let t(s) = -2. Give x*l(q) - t(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -69790*d. Let v(w) = -3*w. Give t(v(f)).\nAnswer: 209370*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*k - 19319 = -21111 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -509, -501, -479, -437, -369, -269, -131?\n\"Answer: f**3 + f**2 - 2*f - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 17. Let x be o(15). Let a = x - 4. Let p(n) = 2*n + 3. What is p(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*a**2 - a**3 + 39*a**2 + 9*a**3 wrt a.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -189929.2336 and 272029?\nAnswer: 461958.2336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4459635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 6*v**2 - 9*v + 20. Let j be q(8). Suppose 4*z = f + 52, -f + j = 4*z + 24. Solve -x - 3 = -3*d - 1, -2*x - 3*d - z = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4499, -4523, -4583, -4697, -4883, -5159, -5543?\nAnswer: -6053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 842.\nAnswer: 15\/842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 5*s - 10, 2*w - w = -4*s - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from {k: 4, t: 3, q: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 12:27 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695072 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -29 + (4 - 9).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 53.\nAnswer: 11\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685867246?\nAnswer: 2, 6007, 57089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + 8. Let k(y) be the first derivative of -y**4\/4 - 2*y**3\/3 + 5*y**2\/2 - 3*y - 2. What is the remainder when p is divided by k(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/55? (a) -1\/10 (b) -291 (c) -2 (d) -0.19 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 - 2*s**3 + 0*s**3)*(3*s**2 - s**2 - s**2) - 17*s**3 + 20*s**5 + 17*s**3.\nAnswer: 18*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106 smaller than 2081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuu. Give prob of picking 2 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/7, -3\/10, 135, -1.\nAnswer: -1, -3\/10, 5\/7, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-56 + 55)\/(1*(-2)\/51164)?\nAnswer: 2, 12791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 16. Let m be g(-11). Let x(n) = n**3 - 6*n**2 + 4*n - 1. Give x(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/76 at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 109, -2 in increasing order.\nAnswer: -2, -1, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1486087?\nAnswer: 1486087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 10. Suppose 5*p - 13 = -2*o, 2*p - o - j*o = 10. Solve p*u = -15 - 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u - u - 4*u - u. What is the remainder when h(-3) is divided by 4*(-1 - (-18)\/4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8247274 is divided by 8247190?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1 + 4*w - 2*w + 2 - 4*w. Let t be 4*(-3)\/(-12)*2. Let f(x) = -6*x + 5 + 3*x - 4 + t*x. Calculate -6*f(o) + 2*v(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1322103 + -3?\nAnswer: -1322112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5\/2 - 34657773*d**4 + 138631071*d**3 - 69315528*d**2 - 277262145*d\/2 + 103973301 = 0. Calculate d.\nAnswer: -1, 1, 3, 23105178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53\/4 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7\/113 - -3101\/1017. Calculate the common denominator of 17\/4 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -51\/10 (b) -5 (c) -4 (d) 1 (e) 224 (f) 3 (g) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 0 + 18*f + 0*f**2 - 1\/12*f**4 + 0*f**3. Let x(d) = -d + 4. Give a(x(k)).\nAnswer: -k**2 + 8*k - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -110 + 48. Let d = u + 40. Let h = 21.6 + d. What is h rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/56*13888\/29760.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 32.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(415\/(-30) - -14).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1000000011011 (base 2) to base 9\nAnswer: 5581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/1535262 and 63\/38?\nAnswer: 29169978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 10*i + 5382186. Let j(c) = -3*c. Determine t(j(a)).\nAnswer: -30*a + 5382186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -20*a + 3 - 8 - 3. What is the remainder when d(-2) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d + 3*d**2 - 3*d + 2 - 2 - 4 in the form u*d**2 + x + z*d and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2820, -2815, -2810?\n\"Answer: 5*a - 2825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2. Let g(h) = -h + 1. Let x(o) = o**2 - 4*o + 2. Let s(u) = 4*g(u) - x(u). Let t(n) be the first derivative of s(n). What is t(q(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2*k + 6*k = 67, -1329*k + 1334*k - 40 = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8813.\nAnswer: 7, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 1\/30*k**5 + 1\/504*k**8 + 0*k**3 - 1\/18*k**4 + 1\/180*k**6 + 0*k - 1\/105*k**7 + 0 - 3*k**2. Suppose v(r) = 0. Calculate r.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 397*s**6 - 43*s**5 + 30*s**2 + 1167*s + 2?\nAnswer: 47640*s**3 - 2580*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from kwwwrkkxwxwkwwxwkk.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6*v = f + 8, -5*f - 2*v = 0. Let m(t) = -48*t**2 - t + 3*t + 63*t**2 + f*t. Is 11 a factor of m(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3787, 5272, 6757?\nAnswer: 8242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 34\/5 of a milligram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 6. Suppose -5 - 50 = -5*g. List the prime factors of q(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -1)\/(1 + 0). Let i = 9 - 5. Sort l, -2, i in decreasing order.\nAnswer: i, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.7 + -11. Let j = z + -0.1. Let l be (-6)\/(-2)*6\/45. Which is the closest to l? (a) -1\/3 (b) 4\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 4 + 1)*(-t - t + 4*t) + 3*t + 2*t - 4*t)*(-5 + 3 - 1).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7359?\nAnswer: 3, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**5 - 95*m**4 + 2811*m**3 - 20849*m**2 - 167048*m + 1061340 = 0.\nAnswer: -7, 5, 21, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 36372?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (-35)\/(-15))\/(2\/(-753)). Let l = 94 - v. What are the prime factors of l?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 11:06 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-4 + 6) - (4 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4 + 2*y + 5 to the form b + t*y and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1003 + -2959\/3. Which is smaller: l or 18?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 194 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - s + 13 = 0, -4*s = u + 598 - 585 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/21)\/((10\/(-6))\/5).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1379 and 1187713.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l. Is 27 a factor of k(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-119)\/(1\/(-2) - 14\/28) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/(d\/d**(17\/6)*d))\/d)**(3\/14)*d\/(d*d*d*d**(18\/5)*d*d)*d*d**(12\/7)*d assuming d is positive.\nAnswer: d**(-489\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 82828900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2010 is divided by 156.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*t + 7. Suppose -10 = -d - 4*y, t*d - d - 9 = -5*y. Is (-4)\/d + (-1719)\/(-63) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 71402325.\nAnswer: 71402321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2746 + -2726 + 0 + -26?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p**3 + 5*p**2 + 5. Let c = -229 + 115. Let k = c + 108. Let a(f) = f**3 - f**2 - 1. Calculate k*m(d) - 30*a(d).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -154 (base 9) to base 2\nAnswer: -10000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -35 - (34 + (-11 - 118))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**4\/12 - h**3\/6 - h**2. Let a = -10 + 3. Let g = a - -3. Give q(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -21*n + 2. Let s be p(-1). Suppose -25*q - 6 = -s*q. Let w(b) = b - 5. Calculate w(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67277927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 336 + 618 - 325)*(2*z - 2*z + 2*z**2).\nAnswer: -6*z**3 - 86*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-784)\/(-147)*(-6)\/4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2904140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -120777892*d**3*y**3 + 2*d**3 + 94286*d*y**2 - 329*y**3 wrt d.\nAnswer: -724667352*d*y**3 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3 - 28731038*a**2 + 28731040*a = 0.\nAnswer: -14365520, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 1 + 3. Let m = -4 - u. Find the second derivative of m*r - 2*r**2 - r**2 + r wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -740, -605, -552, -575, -668, -825, -1040?\nAnswer: -1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -2788777 (c) -0.41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 o, and 1 e when three letters picked without replacement from {s: 1, e: 5, v: 9, o: 1}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o + 6*o**2 - o**2 + 2*o - 4*o**2. Is q(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-2))\/((-6)\/(-36)). Let b = 147 + -141. What is the least common multiple of 8\/(-3)*h\/(-12) and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 w when two letters picked without replacement from {f: 7, c: 5, w: 2}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -6550\nAnswer: -1\/6550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l**2 - 3*l**2 - 12*l**2 + 10*l**2.\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019 a factor of 134035007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 43. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*((-56)\/(-868) + (-13)\/(-279)). Which is the fourth biggest value? (a) w (b) 27 (c) 3 (d) -0.1 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o**12*o))\/o)\/o**17 assuming o is positive.\nAnswer: o**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -4\/23, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1093299?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 9*a - 6. What are the prime factors of i(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/102 and 1\/374.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12016931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 11:59 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116373531 and 2067?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4373*n**2 - 39359*n - 13. Give g(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1074 - -4.8926. What is the closest to -1 in 21, -3\/11, l?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**2 + 16012*p + 1277430 = 0.\nAnswer: -79, 8085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (882\/1050)\/(5\/(-25)).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 335031802 to the nearest integer?\nAnswer: 18304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -9*x**2 + 2*x - 3. Let s(z) = -19*z + 2*z**2 + 2*z**2 + z**2 + 2 + 18*z. Let h(b) = -4*l(b) - 7*s(b). Determine p, given that h(p) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -1) + (-11 - (-28 - (-19 - -9)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*38*24\/3648*204?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5623)\/((0 - 1)*(4 - 3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - (1 - 2)) + (-111)\/12. Sort 11\/6, -4, p in ascending order.\nAnswer: -4, p, 11\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-8) - 72\/16?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*x - 10582 = 60*x + 26*x. Let j be ((-4)\/3)\/(2\/156). Let h = j - x. Is -28 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12248368481+9\nAnswer: 12248368490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**4)\/m*m**(-2)*m**1*m\/m**7)\/((m*m**(-5)*m*m\/(m\/((m*m\/((m**6*m)\/m)*m*m*m)\/m)*m*m))\/(m**(-5)*m**(-5))) assuming m is positive.\nAnswer: m**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/17 in -0.5, -8, -1\/4, -3.2, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 363267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 3, q: 1, w: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 598?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 127315 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69215 and 33655?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 6. Let a be b(6). Let r be 30*2 + -1 + 20\/5. Let p be 4\/18 - (-76)\/r. Which is bigger: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17783.36 centuries to months.\nAnswer: 21340032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8435753*u**2*v - 58171*u*v - 35*u wrt u.\nAnswer: 16871506*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 36 - 1 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ca - 6?\nAnswer: 1c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6787.785 minus -0.233?\nAnswer: -6787.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 153\/(-15) + 10 - 68\/10. Let k(h) = -h**3 - 7*h**2 + 4. Determine k(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2820\/(-376)*(-2 + -22). Solve 179*c = g*c - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*n - 4 = 0, 5*n - 2 = q + 6. Suppose 3*v = q*j + j - 6, -5*j - 2 = -3*v. Is (v\/(-9))\/((-10)\/(-4905)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4348.5 rounded to the nearest 10?\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (0 - 528\/2). Suppose 5*y - 1300 = -z. What are the prime factors of y?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18.6 - 19. Let j = 7.54 - -0.56. Let s = j + -8.7. Which is the third biggest value? (a) s (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 1:00 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -477178 times -38\nAnswer: 18132764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 9 = -17 + 32. Is h at most as big as 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.256 + -0.656. Which is the smallest value? (a) 1\/5 (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -169? (a) 0.109 (b) -5 (c) -1\/2 (d) 1\/78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 3*b + 1. Suppose 108 = -32*p + 36*p. Suppose p*y - 24*y = 9. What is c(y)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z + 5. Suppose -813*x = -815*x + 32. Solve -a = -0*j + 4*j + x, 1 = -4*a + z*j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + j + 691358 = 691371, -2*c + 10*j = 42 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11026 = -14061*v + 13763*v for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 1\/8*t**4 + 8\/3*t**3 + 0*t**5 + 0*t - 18*t**2 + 0 + 13\/120*t**6. What is the second derivative of r(f) wrt f?\nAnswer: 78*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 1. Let l(z) be the first derivative of -250 + 2*z + 3\/2*z**2 + 1\/3*z**3. Calculate k(q) + l(q).\nAnswer: 2*q**2 + 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-18)\/(-42))\/((-4)\/(-7))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 513*h**2 + 64979*h + 240. Determine n(228).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-15)\/24)\/5.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 324 + -425440241?\nAnswer: -425435513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -490 and 181694?\nAnswer: 182184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2) + 18\/36 + -1)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138 and 67275?\nAnswer: 134550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-2 - 6) - 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + x - 2)*(17 - x**2 - 29 + 16) to the form p*x**3 + b + c*x + r*x**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027408473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -20*a + 84. Is 16 a factor of c(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(2 - 0) - -4. Suppose -5*s + h = -2*s. List the prime factors of s*(2 + (-2)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -638\/2067?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 10*l - 9. Let f be (-105)\/(-12) + 3\/12. Suppose -2*b + f = -9. Let n be t(b). Put n, 4, -4 in decreasing order.\nAnswer: 4, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -5. Let n = -3 + b. Is 12 a factor of (10 + 3)*n - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**5\/10 - 3*m**4\/4 + 5*m**3\/2 - 2*m**2 - m - 4993. What is u(-7)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -16*u**3 - 3*u**2 + 5*u + 2. Does 44 divide a(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 6116967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.8 - -2.7. Which is the third smallest value? (a) -3\/2 (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(-92)*-6 + 1\/2*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14337, 57122, 128431, 228264, 356621?\n\"Answer: 14262*l**2 - l + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 1:26 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + o - 4. Let y(v) = 2*v + 2*v**2 - v - 8*v**2 + 2*v + 0*v**2 - 12. Let w(k) = 12*m(k) - 4*y(k). Let a = 1 - 0. What is w(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and -6270.\nAnswer: -6897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 64900130 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k - 2. Let d be 2 + 1 + -2 - -2. Let w be f(d). Let z = w - 9. Solve -z*g - 12 = -0*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 52, 78, 114, 160, 216?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10201211 + 2110100?\nAnswer: 20012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-18))\/(3\/648). Suppose -4*n - 34 = -826. Calculate the highest common factor of n and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -13 + -3 + 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -14*z**3 - 10*z. Let p(s) = s**3 + s. Calculate c(q) + 10*p(q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 609 and 22586795?\nAnswer: 67760385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29*(-9)\/6*(-2)\/3.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.54 (b) -1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129172395?\nAnswer: 3, 5, 11, 53, 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 14 - 31. Let r(c) = -c**3 + 10*c**2 + 18*c - 9. What are the prime factors of r(b)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 6*r**2 + 22*r + 6. Let n be b(-9). Let s = n + -253\/5. Find j such that 0*j**2 + 0 + 6\/5*j**4 + 4\/5*j**5 + 0*j + s*j**3 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100*d**5 + 80*d**4 - 14831*d**2.\nAnswer: 6000*d**2 + 1920*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1763, 7045, 15845, 28163, 43999, 63353, 86225?\n\"Answer: 1759*z**2 + 5*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 10, 3*p - 3*x + 12 = 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**2 + 4*w**2 + w**2 + (2*w**2 - w + w)*(-5 - 1 + 1) - 1 + 2*w**2 + 1 - 4*w**2 + 0*w**2 + 3*w**2.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 34, 36, 30, 10, -30, -96, -194, -330?\n\"Answer: -b**3 + 2*b**2 + 3*b + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46.9? (a) -2\/9 (b) 4\/5 (c) 2\/7 (d) -25.9 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnzwwnnwntlt. Give prob of sequence wtw.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2952*q**3 + 2*q**2 - 11*q + 10. Is j(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106406701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + -77 + 95 + -66.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 6*f + 2. Let u be o(7). What is the closest to -1 in 0, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*m + 11*m + 8*m + 2*m**2 as b*m**2 + k + u*m and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 3:39 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {s: 1, v: 4, e: 3, w: 10}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*a - 2*a + 4*a + (-3 + 3 + 1)*(-3*a - 3*a + 4*a) + 0 + 0 - 2*a as w + f*a and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 557, 1104, 1655, 2210, 2769, 3332?\nAnswer: 3899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {k: 5, c: 13}?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -7*u**2 + 6*u + 6. Let m(j) = -6*j**2 + 5*j + 5. Let g(z) = -z + 15. Let c be g(20). Calculate c*o(n) + 6*m(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8776107074?\nAnswer: 2, 7, 1609, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 198532658 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 21 = -1. Let h(l) be the third derivative of -l**4\/12 - 17*l**3\/6 - 6*l**2. Let s be h(-7). Which is smaller: s or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -445 - -42040?\nAnswer: 41151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/10)\/(7\/(-105)). Let a be 8\/c*(-135)\/30. Suppose 2*x - 5*h = 264, a*x + 0*h + h - 252 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-4 - 32 - -68) - 65.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjsjsjs. What is prob of picking 3 j?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34\/487 + 38043\/7792. Calculate the common denominator of -69\/20 and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 26 - 76. Differentiate -1 + 4 - q - 11 + 142*i with respect to i.\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 19 = 26. Let g = 33 - 18. Calculate the greatest common divisor of g and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -116\/5. Let y(n) be the first derivative of -a*n**3 - 7\/10*n**4 - 1 + 0*n - 2\/5*n**2. Determine l, given that y(l) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - j - 2, -2*a = 5*j + 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d**3 - 3*d**2 + 6*d - 6. Let k be c(2). Let i = k + 149. What is the remainder when i is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 - -38. Let g = k - -27. Let m be g\/(-49) - (-19)\/7. Which is the smallest value? (a) m (b) 1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-180)\/24*2\/(-3). Suppose -b*s = -s + 16. Let l(f) = -f + 2. Let t be l(s). Solve m = t*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**4 + 16*q**4 - 2 + q - 8*q**3 - 13*q**4 as g*q**2 + h + v*q + c*q**3 + x*q**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4040541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 21. Let o be s(15). Suppose o*v - 1424 = -10*v. Is v a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 5 (c) 4109 (d) 4\/5 (e) 20 (f) 2 (g) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/27*((-58)\/4 - 2). Let i = 13 - s. Solve 6 - i = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 17*k + 122. Give r(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -5) + 1 + (155 - 162).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.24 (b) 3 (c) 14 (d) -3 (e) -0.11 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -144.00725 - -144. Round b to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1526fc + -4?\nAnswer: 1526f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -5 + 1 + 0 - 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 r when three letters picked without replacement from dbrbrrbr.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 2412b4?\nAnswer: -2412b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*t - 7 = -n + 48*t, -5*n - 25 = -5*t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1785)\/(-70))\/(((-1755)\/(-26))\/(-45))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8601535573 less than -85.95?\nAnswer: 8601535487.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d - d)*(d + 0 + 0) + (-2*d**2 + 6*d**2 - 3*d**2)*(0 + 0 - 2).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4 - 1. Suppose 0 = -v + 3*q + w + 7, 12 = v - 4*q. Is -4 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.05 - -0.45. Let s = 5 + 5. Let t = n - s. What is the nearest to 0.1 in -0.2, t, -4\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3696 and 160?\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80319 and 410?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/(5\/20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -35 (b) -3 (c) 0.08 (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-36))\/((-1)\/(-32)*8). Sort -28.9, -0.3, d, 4.\nAnswer: -28.9, d, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1076 and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82316 by 6.\nAnswer: 41158\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 50890280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/99 - -503\/198. Let n = -207.11733 + 0.01733. Let x = 207 + n. Which is the biggest value? (a) f (b) 33 (c) 0 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 19*w. Suppose 151*p - 147*p - 4 = 0. Give k(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 132*n - 13632 = 92*n + 67*n for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 5*j - 108 = 0. Let f(u) = -u**3 - 2*u**2 + 6*u + 10. Suppose 0 = -3*p - 2*p - 20. Calculate the least common multiple of j and f(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3322*t - 451797. What is f(136)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 50. Put q, -4, 0, 5 in descending order.\nAnswer: 5, 0, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 + 4*o**2 - o - 4. Let c(z) = z**3 + 3*z**2 - z - 3. Suppose -6*s + 5 = -19. Determine s*c(a) - 3*n(a).\nAnswer: -2*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.109 - -4.911. Let m = h + -0.02. Let y = -36.6 - -32.6. Which is the second smallest value? (a) y (b) -1\/2 (c) m (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 7. Suppose 5*g - 2*x - 295 = 3*x, -2*g - 4*x = -124. Suppose 77*y = 87*y + g. Determine o(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 3:31 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 9:43 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-1 - (11 + -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 4:24 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*t = 351*t - 377 - 2527 for t.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 8*j**2 + j + 6. Let x be w(-7). Suppose 0 = -0*t + 3*t - x. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 0 + 2. Let v be 1984\/341 + ((-8)\/(-44))\/1. Solve p - i*a = 1, -a + 1 = 2*p - v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110999 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 8*f = 48. What is the greatest common divisor of f and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -10. Suppose 45 = -5*m + 5*u, -d*u - 15 = 5*m + 54. Let o = m - -26. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38807089.\nAnswer: 193, 201073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-4) + 3 + 163. Suppose 5*b + 4*o = 150, -o - l - 10 = -5*b. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 150, 152, 154, 156, 158?\n\"Answer: 2*o + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 75055262 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 27258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-85)*2810\/(-562)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 23*x**2 - 629*x - 905. Give i(-15).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 14*l**3 - 8*l**2 + 19*l - 22. Let s be u(2). What is the greatest common factor of s and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2347 + b - 1052 - 3*b.\nAnswer: -2*b - 3399","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29*(((-24)\/15)\/4)\/(144\/360).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2179890 by 13710.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 149 = 5*b + 2*q, b = 2*q + 23. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 - 1. Let k = -5.05 + 0.05. Let f = -0.4 - -0.4. Which is the second smallest value? (a) k (b) f (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 - -5. Suppose 6*v - 2*v = i + 479, 3*i = v - z. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86 + 86.01. Which is the nearest to 0.2? (a) o (b) -3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 - o + o + 4*o**2 - 5*o**2 - o**2 - o**2 - 1 + 1 + (1 - 1 + 2*o)*(2*o - 4*o + 4*o) + (3*o**2 - o**2 - 3*o**2)*(-1 - 1 + 1) - 2*o**2 - 4 + 4.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 804 + -239. Suppose 0 = 6*z - y - 155. Round z to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*g - 1577, 4*g + 319 = 2*y - y. Suppose -14*z + 318 - 93 = -755. Calculate the highest common divisor of y and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 = 26*n + 103. Sort n, -1, 0, 2.\nAnswer: n, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 d when three letters picked without replacement from {g: 4, d: 2, r: 10}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 485 - 21676735\nAnswer: -21676250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -18*a - 24. Let l be p(-4). Suppose 0 = -42*g + 46*g + l. List the prime factors of g\/9*18\/16*-34.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q - 23*q = -8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 j, and 1 f when four letters picked without replacement from {u: 2, j: 4, a: 1, w: 1, f: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 12:53 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 11 = -y + 2*b, -4*b = -2*y + 18. Suppose 0 = -z + 3 + y. What is the remainder when 19 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 35\/(-105)*(13 - 14). Let t = -0.08 - 13.92. Which is the closest to 0.1? (a) -1 (b) t (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-9 + 715\/99)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.6598635 to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w - 40 = -30*w. Calculate the remainder when 52 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14 + 13789700\/984978)\/(10\/45). Is p at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -10*o**3 - o**2 - 17*o + 19. Let h(p) = -12*p**3 - p**2 - 19*p + 20. Calculate 6*h(b) - 7*m(b).\nAnswer: -2*b**3 + b**2 + 5*b - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2))**(5\/7)\/((p\/(p\/(p**6\/p)))\/p**(-5\/4)) assuming p is positive.\nAnswer: p**(-215\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvhqkkvhqkqqhkqqqqk. Give prob of picking 1 h and 2 q.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (91 - 84) + (-13 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, 0, -0.4, -1.4 in descending order.\nAnswer: 4\/9, 0, -0.4, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*s - 91623, 4*y - 30541 = 166*s - 167*s. What is the thousands digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 64\/6 + (-36)\/54. Suppose -9 = -m + h. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23965392 to the power of 1\/2, to the nearest integer?\nAnswer: 4895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 1\/105*c**7 + 0*c**3 + 0*c + 2*c**2 + 0 + 1\/12*c**4 + 1\/20*c**6 + 1\/10*c**5. Factor j(n).\nAnswer: 2*n*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 118.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.1 - 2.12. Let l = 19.02 + v. Let i = 18.8 - l. What is the third biggest value in 2\/9, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37162420 by -734.\nAnswer: 50630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + 51ba6d9?\nAnswer: 51ba6d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7519007.46 - -7518100.0115992. Let f = 910.4484 + v. Let c = -3 + f. What is c rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*v - 26*v + 765450 = -31*v. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-105.7.\nAnswer: -31.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/546*(-14)\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 14*u**2 + 14*u - 8. Let m be t(13). Let c(q) = q. Let w be c(-1). Let p be w\/(0 + 2\/(-10)). Solve -11 = -4*h + h - 2*r, p = m*r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f, -5*r + 5*f + 50 = 0. Let w(t) = t**2 - 10*t + 8. What is the units digit of w(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 116 - 103. Suppose 12*x = h*x + 29. Which is greater: x or -30?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 391 + -2?\nAnswer: 38c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -0.5 (c) -2\/11 (d) -10 (e) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16273923?\nAnswer: 3, 5424641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/3568 and 23\/83402.\nAnswer: 667216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*z - 1113 = 5*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (7 - 9) - 74\/((-31968)\/(-7614)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -752183770 divided by -16003910.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134124432 + 4?\nAnswer: -134124423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(2\/49))*o)**10 assuming o is positive.\nAnswer: o**(470\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 2, 306, -1, 4, 6, 1 in ascending order.\nAnswer: -38, -1, 1, 2, 4, 6, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 3*t + 18 = 2*t, -o - 9*t = -16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 33 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 210230 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 1. Let r(o) = 3*o - 6. Let l be r(4). Let d(n) = n**3 + 4*n**2 - 4*n - 5. Let q be d(-4). Let v = q - l. What is g(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*w - 59, -11 + 52 = 2*w + 3*a. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 798 and 14.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.15 + 0.85. What is the closest to s in -0.2, 0.1, 15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 43*x. Let a be d(0). Solve -4*y - 4*t + 12 = a, -3*y - 2*t + 0*t + 5 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24166\/(-4777) - (((-6)\/(-4))\/(63\/(-336)) - -3).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 12. Suppose 0 = -m*u + u + 2164. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -163*d**2 + 84*d**2 + 95 + 2*d - 103*d**2 + 0*d**3 - 2*d**3 + 87.\nAnswer: -2*(d - 1)*(d + 1)*(d + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.69 + -0.69. Which is the nearest to -5? (a) -2 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1579*u + 4. Let h be r(4). Let a = 28680 + h. What is a rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 65 + 4 + 8 + 11*m**3.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142413?\nAnswer: 3, 37, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-5 + (-81)\/(-18))*-2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -41*n**2\/2 - n + 1442. Let c(r) = 2*r**2. Give c(z(m)).\nAnswer: 3362*m**2 + 164*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-493.\nAnswer: 1972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574*o = 576*o + 18 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -565*k**3 + 179*k**3 + 213*k**3 + (-1 + 5*k**2 + 1)*(0*k - k - 2*k).\nAnswer: -188*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, j: 5}. Give prob of sequence jjjj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5930, 38, 296, -4, 2.\nAnswer: -5930, -4, 2, 38, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4193988248 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 4. Let v be (-1)\/2 - (-15)\/x. Which is the third smallest value? (a) -1\/5 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 63313 = -4*m, 31*m = 2*u + 26*m - 25345. Suppose -20*p + 3*p = -u. What are the prime factors of p?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93955, 188442, 282929?\nAnswer: 377416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8 - (8043\/(-10))\/(1104\/3220) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255475055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3014, -6024, -9032, -12038, -15042?\n\"Answer: l**2 - 3013*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.6 - -0.6. Let j = 19 - 29. Let y = p + j. What is y rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - a = 5, 8*v - 1 = 3*v - 3*a. Solve 2*k - 17 = 3*x, -v*x + 3*k - 18 = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/9 (b) -1 (c) -2\/7 (d) 0.02 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 12*q + 4*s = -331825, 0 = -q - 4*s + 110635. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-1090\nAnswer: -4360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 15. Let a = 0.7 + -0.3. Let g = -62\/15 - -652\/165. What is the nearest to h in -4, a, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence heee when four letters picked without replacement from leelhllel?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.442 - -0.058. Let a = 1.55 + -1.8. Sort 1\/3, z, a, 1 in descending order.\nAnswer: 1, z, 1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = v + 24. Let o(j) = -j**3 + 7*j**2 - 17*j + 74. Let n be o(6). Calculate the highest common divisor of v and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-three sevenths of a week?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -18?\nAnswer: -11\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 17 = 2*l - 4*z, -2*l = 2*z - 4. Suppose -5*b + l = -3*x - 15, 2*b - 8 = 3*x. Solve 0*u - 4*u + 4 = x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1 - 1 = -g, -s + 4*g = 8. Suppose s*t - 316 = -4*t + 4*h, 4*t - 318 = 2*h. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13512213636.555 and 2.\nAnswer: 13512213638.555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -17*v + 29\/6*v**3 + 0 + 0*v**2. Let r(o) = -2*o. What is r(f(i))?\nAnswer: -58*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 237, 331, 405, 453, 469?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -245*t**4\/3 + 70000*t**3\/3 - 4711180*t**2\/3 - 41407840*t\/3 - 21135680 = 0. What is t?\nAnswer: -6, -2, 1028\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4*u - 0 - 14, 36 = 3*v + u. Suppose -q + 1 - v = 0. Let i = 13 - q. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6*u*u**5)\/(u**(-3\/7)\/(u\/(u**(-1\/8)\/u)*u))*(u\/(u\/(u*u\/(u**5*u*u)))*u*u**(-4))**(20\/7) assuming u is positive.\nAnswer: u**(-409\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 10*s - 3. Give u(4).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -10, 4, -0.5, 0.1, 0.79939, 3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r - 3. Let m = 6 + 0. Suppose f = m*f - 20. What are the prime factors of n(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -3\/18259 in descending order.\nAnswer: 5, 2, -3\/18259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**3 - 26492*z**2 - 318336*z - 955440 = 0.\nAnswer: -6, 6635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29747 and 361.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 105*r**2 - 1103 - 887*r**2 - 3506 - 224*r**2 wrt r.\nAnswer: -2012*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -672\/1535?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) + (-1)\/((-6)\/(-429)). Let j be 40\/18 + 4*4\/z. Let k be -5*(-4)\/(-10)*j\/(-92). Is k greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 144521197.\nAnswer: 5\/144521197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2.82, 0.3, 3\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -0.4, 0.6, 1\/9, -0.5, -7?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-117))\/((-18)\/(-3)*(-8)\/(-72))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 11:44 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63928 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.348 and -2?\nAnswer: 2.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14 + 144*m**3 - 1130*m**3 - 532*m**3 + 21 + 13*m + 11*m**3 wrt m.\nAnswer: -9042*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 8498887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 29. Suppose j = -4*y + 2*y - 3*l + 13, -4 = -y + l. Solve -4*z - y - 5 = 2*t, 0 = 3*t - 3*z + 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*j**3 - 8*j + 30*j**2 + 38 - 6*j**4 - 17 - 21.\nAnswer: -2*j*(j - 1)*(j + 4)*(3*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138 a factor of 305199288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 180, -0.3?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a millimeter in micrometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, -12, -2 in descending order.\nAnswer: 8, 4, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/89635765 and 10\/161344377?\nAnswer: 806721885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 30*a**3 - 10*a**3 + 5 - a - 4. Does 15 divide q(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -117*r - 31. What is m(2)?\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -143*l + 851. Let k be x(6). Is k bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (7 - 4 - 7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**3 - 5*n**2 + 71*n - 368. Give t(5).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -8. Suppose b = w*q + 2*q - 23, -9 = -3*q + 3*b. Calculate the remainder when q is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**2 + 6*l**2 + l**2 - 3*l**2 + l**2 - 2*l**2 + (-1 - 2 + 1)*(l**2 + l**2 - l**2) to y + h*l + a*l**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 7. Let t be h(3). Suppose -2*x + t = 0, 5*p - 7*x = -12*x + 490. Does p = 96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -10*h + 53. Suppose u = -5*k + 25, h*u - 23*u + 73 = -k. Solve -3*m = u, 6*q - 3*q + 5 = -4*m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -3*p**2 - 15\/4*p**4 + 3*p + 0 + 17\/2*p**3. Find n such that y(n) = 0.\nAnswer: 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1614 = 3*l, -513 - 545 = -2*l + 4*b. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 12 = b. Suppose 4*i = -4*o + 120, 0*i - 128 = -b*o + 4*i. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 7 - -3) + 1 - (7 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 9*v**2 + 2. Let f be a(9). Let w(i) = 25*i - 52*i + 25*i - i**f. Determine w(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006755 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 8*d**2 + d - 3. Let o be v(8). Solve 6 = 4*f + 3*i - 20, -o*f = -4*i - 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1632 - 1693 + 3145 = -4*z for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r. Let a(k) = -5*k - 573. Give x(a(s)).\nAnswer: 5*s + 573","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(550\/330*(-102)\/(-20)*-14)*7\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d (base 15) in base 4?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ab (base 16) in base 10?\nAnswer: -427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w\/(w*w\/((w\/(w*w\/w**(-19)*w))\/w)*w))**(1\/5)*(w*w**26)**(-3\/26))**(-35) assuming w is positive.\nAnswer: w**(6839\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -122 + 134. Let s be n\/((-5)\/(-25)*5). Let f be 6\/s + (-9)\/(-2). Solve -f - 7 = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 + 105\/2. Let u = -4 + 4. What is the nearest to u in 5, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84391, -169028, -253665?\nAnswer: -338302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j - 34*j + 22 = 0. Suppose -d - k = -6*k - 1255, -3*k = j*d - 2523. Is 84 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 7:25 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 67 = 4*g, -52 = -a - a + g. Suppose -b - 2*c = -2*b - 12, 0 = -5*b + 3*c - a. What is the units digit of 15\/b*2\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 837\/558 - 34*(-2)\/88*-2.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1727*s + 10383. What is p(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 1, t: 1}. Give prob of picking 1 m and 1 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -3\/5 (b) 3\/2 (c) 13\/2 (d) 2 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*b + 2*b - 5*b)*(0*b + 4*b - b) + b**2 + 2*b - 2*b)*(5*b - 5*b - 2*b).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*b = 51*b - 118*b + 209 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.86 + 0.18. Let q = m - 0.04. Let t = 0.42 - 0.02. What is the closest to q in t, -1, 1\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201 and 3108207.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 2, w: 1, n: 2, f: 2}. Give prob of picking 1 f and 1 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**2*v**2 - 1930565*t**2*v - 150904*t*v**3 wrt v?\nAnswer: 2*t**2 - 905424*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 - ((-4 - -4) + -5 - -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33012790?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 3*q - 20. Let f = 25 - q. Suppose f*m - 5*x = m - 541, 4*x = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*h**4 - 130*h**3 - 104*h**2 + 40*h.\nAnswer: 2*h*(h - 10)*(h + 1)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = -2*u - m, -4*u + m - 101 = -711. List the prime factors of u.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2642909?\nAnswer: 43, 61463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 11 - 3*c)*(699 + 222 - 49) to j + x*c and give x.\nAnswer: -2616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u = 5*u - 37*u + 45 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 1:51 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -9*u**2 + 138*u + 189. Let i(s) = -20*s**2 + 277*s + 378. Let a(m) = 4*i(m) - 9*r(m). Find the first derivative of a(d) wrt d.\nAnswer: 2*d - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9b48 (base 14) in base 9?\nAnswer: 40826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 0 + 0 + (4*l - 6*l + 4*l)*(4 - 5 + 2) + 2*l - 4*l + 3*l)*(16148*l**2 - 599 + 17043*l**2 + 706 - 107).\nAnswer: 66382*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*j**2 + 7*j**6 - 7*j**6 + 9*j**6 wrt j.\nAnswer: 1080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 38 = -8*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -216266.4 to the nearest one thousand.\nAnswer: -216000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 10*f**2 + 12*f - 1. Let u be b(-11). Let p(o) = -o**2 - 13*o - 4. Let q be p(u). Suppose 0 = 4*i - q*i. Solve 2*x + 2*x - 4 = i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by 1661?\nAnswer: 25\/1661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -134, -119, -104, -89?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 12) in base 9?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 30. Suppose 21*q = 20*q + 6. Let w be ((-2)\/q)\/(13\/(-351)). Let f(c) = -8*c**2 + 13*c + 3. Let h(s) = -2*s**2 + 3*s + 1. Calculate u*f(n) + w*h(n).\nAnswer: -2*n**2 + n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -125.94945 minus -72430?\nAnswer: 72304.05055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 11*n + 12. Let j be c(10). Let y = 12 - 7. Solve m - j*i + 1 - 7 = 0, y*m = -3*i - 22 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 h, and 2 c when four letters picked without replacement from {o: 2, u: 1, d: 2, y: 1, c: 2, h: 4}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 5 + sqrt(17) + sqrt(68) - 2*sqrt(68).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 83 (b) 0.2 (c) -0.2 (d) 6 (e) -135 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440*w - 428*w = 60. Solve -10 = -2*k - 2*t, -w = -3*k + 5*k - t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**2 + u - u. Let z(q) be the third derivative of -q**4\/24 - q**3 - 4*q**2. Let s(h) = -2*h - 11. Let k(p) = 6*s(p) - 11*z(p). Determine j(k(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x + 60. Let v be p(8). Let y = -3 + 3. Sort v, y, -3 in ascending order.\nAnswer: v, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-9) - (204\/9)\/(-4). What is the first derivative of 37 - 12*k**3 - 53 + d*k**3 wrt k?\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265119624 a multiple of 1683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) 2\/15 (b) -0.6 (c) -1\/48 (d) 0.186\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*(u\/u**(-1\/5))\/u))\/u)\/(u*u**(-1\/2)*u))\/(u**(1\/2)\/u*u**(-1\/13)*u) assuming u is positive.\nAnswer: u**(-203\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91\/((-4368)\/(-32)))\/(10\/(-6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 9\/2*f + 0 - 3\/2*f**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dclqqcnqdqdqqdqknc. Give prob of sequence ddl.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v = 0. Let r = 2 + v. Solve -4*m = -x - 3, -r*x + 3*m - 6 = -0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 74 = -3*t, -5*t + 135*a + 153*a = -0*t + 272*a - 223 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103269707?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 14 = 58. Suppose -4*h = 4*j - x, 2*j + h - 9 = 5. Which is smaller: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100188156 + -66890968. Suppose -z = -2*u + 6*u. Let n = 1224297 + u. Round n to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 1875*t**3 - 206475*t**2 - 79115712*t - 4085699580 = 0. Calculate t.\nAnswer: -2186\/25, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 124 (b) 8.59 (c) -0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -225*d + 51320316076 + 27600683924. Round d to the nearest one million.\nAnswer: 351000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 12:40 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(3\/4)*z)*z\/((z\/z**(-2))\/z*z))**(5\/3) assuming z is positive.\nAnswer: z**(-55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 9 (b) 2\/9 (c) 0 (d) -1\/41 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 502 + -24173?\nAnswer: -23471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4066.53ml in litres?\nAnswer: 4.06653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 54, 62, 72, 84?\n\"Answer: q**2 + 5*q + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-4)*-2*28\/21.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 75 = 73. Let x(h) = -h**2 + 7*h + 20. Let o be x(8). Let n = 7 + o. What is the remainder when c is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2770*d**3\/7 - 1048*d**2\/7 + 24*d\/7.\nAnswer: -2*d*(5*d + 2)*(277*d - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**3\/6 - 5*l**2\/2 - 270*l - 1. Let d(r) = 2*r - 5. Determine -4*c(h) + 3*d(h).\nAnswer: 2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 5*c + 10 - 1, 3*m - c - 17 = 0. Suppose 5*x + 19 = 2*f, -34*x = 3*f - 35*x - 35. Solve m = -f*r + 11*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1451 + 1455.517. Round t to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*c**2 + 24*c**3 - 2 - 4*c**4 - 10*c**2 - 4*c + 12*c**2 - 9*c**2 to f + z*c**4 + k*c**2 + s*c + t*c**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367193317?\nAnswer: 1283, 286199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-55)\/(-9) + (-8)\/72. Solve d*s = -5 - 19 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 1. Let k(r) = -2*r**2 + r**2 - 3 - 130*r + 10 + 125*r + 0*r**2. Determine k(t) - 6*s(t).\nAnswer: -t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54 + (-7008)\/144)*((-90)\/4)\/5.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + -3*sqrt(847) + sqrt(847))*1)**2.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i + 5*c - 9*c, -4*c = 2*i + 4. Let t be 20\/i*(-15)\/(-50)*4. Is (4 - (-20)\/t)*-977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 358512973*g**4 + 77*g**2 + 917673*g wrt g.\nAnswer: 8604311352*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 214*m**2 + 86*m**2 + 147*m**2 + m + 57*m**2 + 8*m**2 in the form j*m + b*m**2 + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 6:36 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 8:15 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - 4\/9. Let v(l) = l**3 + 5*l**2 - 6*l. Let z be v(-6). Suppose -4*d + 4 = -z. What is the nearest to d in 2, s, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 35*w + 41. Calculate y(-34).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 7 - 6)*(a - 4*a - 2 + a) in the form j*a + z and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 294 by -3.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15329*d**5 - 21226*d wrt d.\nAnswer: 306580*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6667\/(-1475)*-10*(-4)\/(56\/35).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10892.668 + -10922. Round l to 1 dp.\nAnswer: -29.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*-1*30\/(-24). Suppose v + 179 - 53 = q*b, -112 = -4*b - 2*v. Suppose -5*n + 29 = 3*f - 4*n, 5*n + b = 4*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.3 (c) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 170*j**5\/7 - 19678*j**4\/7 + 173422*j**3\/7 + 246454*j**2\/7 + 11208*j\/7 - 41976\/7 = 0.\nAnswer: -1, -3\/5, 6\/17, 11, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 36, 2\/15, -2\/7 in decreasing order.\nAnswer: 36, 2\/15, -2\/7, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -878 + 992. Differentiate w + 47*t - 25 - 6*t + 68 - 13 with respect to t.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*w - 12, -2*v - 2*w = 3*w - 20. Suppose -2 = -v*z + 4*z. Let s = -74 - -227\/3. Does z = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1648540, 3297077, 4945612, 6594145, 8242676?\nAnswer: 9891205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 15*c**2 - 24*c. Let d(r) be the second derivative of r**4\/4 - 5*r**3\/6 + 3*r. Let o(l) = 24*d(l) - 5*n(l). Let x(b) = 3*b. Give x(o(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17898?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278553003.\nAnswer: 3, 92851001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7259*q**2 + 45. Let y(b) = -2*b**2. Calculate a(y(l)).\nAnswer: 29036*l**4 + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y**2 + 8*y**4 - 6*y**2 + 2*y - 13*y**4 to the form i*y**4 + a*y**2 + r*y**3 + s + t*y and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b = -5031 - 5121. What is the least common multiple of b and 30?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/2016 and -1\/1584?\nAnswer: 22176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -245 - -1243\/5. Let k = 19\/5 - r. Put k, 0.5, -0.03 in descending order.\nAnswer: 0.5, k, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 163533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1013000 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 6*k**2 - 7*k + 11. Let c(m) = -m**3 + 11*m**2 + 15*m - 20. Determine 6*c(l) + 11*t(l).\nAnswer: 5*l**3 + 13*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1264 (b) 83 (c) 0.3 (d) -0.69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 284 + -280. Solve -40 = 4*x + 5*y, -2*x - 17 = o*y + 9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + ((sqrt(52))**2 - sqrt(13)) + -1).\nAnswer: -5*sqrt(13) + 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 - -1111?\nAnswer: 100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 8*a + 9. Let n be r(7). Suppose -n*h + 3 = -5. Solve -4*z - 8 = -5*m, h*z - 6 = -m - 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 63. Let q be (36\/g)\/((-7)\/3). Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -7. Let q(z) = -z**3 + z**2 + z. Let j(w) = 6*w**3 - 18*w**2 - 15*w. Let n(g) = l*q(g) + j(g). Let n(y) = 0. What is y?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 9 + 6)*(0*j - j + 3*j)*(-5 + 2 - 1) in the form f*j + l and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 210283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42422 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2977030 is divided by 130.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 363\/(-18) - (6\/12 + 38\/(-57)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3 + 33*u**2 + 17*u**2.\nAnswer: 50*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.201 plus 0.23?\nAnswer: 1.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 a when three letters picked without replacement from {o: 1, h: 1, r: 2, a: 2, y: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5165067, -10330135, -15495201, -20660265, -25825327, -30990387?\n\"Answer: p**2 - 5165071*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 5*y**2 - 5. Let a(u) = 2*u + 1. Let t be a(1). Suppose 25 = 2*p + t*p. Give c(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2945 in -1\/4, 1, -2\/17, -247, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 108*(-84)\/168*(-2)\/4\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -44, -0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2462222 centimeters to meters.\nAnswer: 0.002462222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -65, -121, -189, -263, -337?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1629724?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = h - n + 3, 0 = -h + 5*n - 16. What is the remainder when 34 is divided by h + 2 + -1 - -12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y + 1. Let i(q) = -q + 1. Let z(u) = h(u) - 2*i(u). Let a be z(-1). Let o = 1 - a. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156190178 to the power of 1\/2, to the nearest integer?\nAnswer: 12498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/27 + (-2600)\/(-72). Let z(t) = 18*t**2 - c*t**2 + 10*t**2 + 5*t**2. Let o(g) = -27*g**2. Calculate z(o(u)).\nAnswer: -2187*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122\/(-915) + 28\/(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008098 to four dps.\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 1784.\nAnswer: 8920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 31*k**2 - 5*k - 33. What are the prime factors of v(-4)?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 4 = 7*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9692 + -0.0308. Let r = -0.9 - -0.6. What is the second biggest value in 2\/15, 4, q, r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 1:30 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 > 217\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by -4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 6*z**2 - 263*z + 327. Calculate w(19).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49209.82 weeks to nanoseconds.\nAnswer: 29762099136000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-522)\/116*(-624)\/(-54).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*h = -107476 + 235051 + 179165. Is -6258 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176531820 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-5)\/50 - (-274)\/35 - 7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 475 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 204074340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -490019 at most as big as -151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*-1*(-1*sqrt(147))**2 + (4 + (-1*sqrt(147))**2 - sqrt(147) - (sqrt(147) + ((5*-3*sqrt(147))**2 - sqrt(147)))).\nAnswer: -32478 - 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 3504293946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xm when two letters picked without replacement from {x: 7, m: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 35*g**2 + 3*g - 11. Let s be y(-5). Suppose -s = -a - 260. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 4280456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/7 (b) 7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-10) + 805\/10350. Sort 4\/3, -3\/17, -0.5, p in ascending order.\nAnswer: -0.5, p, -3\/17, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/190 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3083+-6\nAnswer: -3089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.08 - 3. Let s = 169.92 - 174. Let r = s + g. What is the nearest to -0.1 in -0.5, 3, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -229471 + 229489. Let b be 1 + -1 + -2 - -777. Suppose -4*v + 299 = -3*g - 326, 5*g + b = 5*v. Calculate the smallest common multiple of d and v.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 8*d - 11. Suppose 0 = -p - 12*m + 9*m - 22, -5*p = 2*m + 32. Determine f(p).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - (1 + sqrt(432) + 4) - (-2*2*sqrt(432) - sqrt(432)))**2.\nAnswer: -600*sqrt(3) + 10825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 2*i**6\/15 + 37*i**5\/5 - 133*i**4 + 1366*i**3\/3 - 644*i**2 - 6*i + 840. Factor q(t).\nAnswer: 4*(t - 7)*(t - 1)**2*(t + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204922 >= 205078?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 7. Let h be ((-9)\/(-3))\/(x\/(-30)). Let c(g) = -6*g - 48. Let y be c(-8). Solve -20 = h*m - y*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(612)*1*-4 + sqrt(612) + 4 + 1 + sqrt(612) + 2.\nAnswer: -12*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 13*q**5\/60 - 25*q**4\/24 + 13*q**3\/6 - 5*q**2 - 1. Let d(i) = -9*i**2 + 17*i - 9. Determine -7*d(m) - 5*u(m).\nAnswer: -2*m**2 + 6*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 6:37 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Let a = i + -2. Is 762\/4 + a\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 84\/16 - 2\/8. Let f be (-42)\/(-15) - (-1)\/q. Suppose 0 = -5*t + f*i + 124, 2*i + 0*i = 4. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -469 - -477. Let i be w\/(48\/(-33))*-134. Which is smaller: i or 736?\nAnswer: 736","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10047565 rounded to three decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*(0*k + 9*k + 4*k) - 3*k + 4*k - 2*k in the form r + f*k and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**38)\/((y\/((y*y**(-3\/20)*y*y*y)\/y))\/y*y) assuming y is positive.\nAnswer: y**(-703\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18148639*p**2 + 13645663*p - 1?\nAnswer: 36297278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 113 + 4*z**2 - 50 - 34 - 2*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 11307*a**3 - 3*a**2 + 16*a - 16. What is the hundreds digit of d(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100010220210 (base 3) to base 12\nAnswer: 88203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(1 - (-4)\/(-3)). Suppose -2*f = -g*r + 60, -r - 2*f + 10 = -10. Calculate the highest common divisor of 50 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 7*o = -30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 8720 = -3*m, -384 = -2*m + i + 5434. What are the prime factors of m?\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 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: Suppose -10 + 32 = -2*t. Let m = t - -18. Suppose -2*b + 5 + 3 = 0. Solve 3 = -b*c + m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(1\/(2\/2)). Let f be i + -1 + -3 + 4. What is the closest to f in -1\/2, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 1131299.\nAnswer: 452519.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 817794*g**4 + 287*g**2 - 6*g + 3.\nAnswer: 19627056*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 - 85\/(-20). Suppose 7 = -g*d - 1. Let z(u) = 3*u**2 + u - 2. Determine z(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((280\/(-12))\/5)\/(2\/3). What is the hundreds digit of y + 279 - (0 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97061 is divided by 413.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 173754, -2 in descending order.\nAnswer: 173754, 19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.8 - -30.1. Let d = g - -2.7. What is the closest to d in -0.05, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -6. Let o = -23 - -27.6. Let n = o - i. Sort 1\/6, n, 5.\nAnswer: n, 1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from woywttttwwctco. Give prob of sequence wyy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (828*j**2 - 192 + 192)*(3 - 5 + 3)*(3 + 3 - 3)*(0 - 1 - 1)*(0 - 1 - 1).\nAnswer: 9936*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, f: 2, y: 2, t: 2}. What is prob of sequence fy?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 789519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354*p**2 - 188*p**2 + 209*p**2 - 160*p**2.\nAnswer: -493*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g\/(g*g**(2\/13)))\/g))\/g)\/g)\/g**(-27)*g**25*g*g**(-31) assuming g is positive.\nAnswer: g**(288\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*u - 10 = 0, 3*v + 2*v - 3*u - 40 = 0. Solve -3*m = -x + 8, -3*x + 17 = -v*m - 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 6, 0 in descending order.\nAnswer: 6, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**4 - k - k**3 + 0*k - k**3 + 5*k**4 - 9*k**2 to r*k**4 + f*k**3 + t*k + n + c*k**2 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 1, -188\/11, 1\/2, 0.134?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51313552483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*z - 18. Suppose -z*v + 132 = -3*v. Suppose 5*y - 35 = 2*u - 4*u, 3*u = y + v. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 536597 - 536596. Let y be ((-6)\/(-4))\/(33\/4). What is the closest to -0.6 in -0.2, 5, c, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 - -0.01. Let r = 0 - -0.2. Suppose 47*q = -0*q - 47. What is the closest to u in r, 4, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**7\/126 - 7*x**4\/12 + 15*x. Let i(t) be the third derivative of d(t). Let u(y) = -2*y. What is i(u(c))?\nAnswer: -80*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (205110\/11610)\/((-2)\/6)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 17*v**2 + 5*v + 49. Calculate the remainder when 527 is divided by d(-18).\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 60*i + 56*i = 34, 0 = -c - 3*i - 6. Let n = 2 + -2. Solve 2*z + 0 - c = n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 - 189\/2. Sort -0.2, 0, a, 0.3 in increasing order.\nAnswer: -0.2, 0, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**7\/840 + y**4\/3 + y**3\/6 - 3*y**2. Let a(o) be the first derivative of p(o). What is the units digit of a(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1231 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -4 - 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 8*m - 336. Let p be 78\/m - (-6)\/(-24). Solve 5*j - 2 = p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196, 393, 588, 781, 972, 1161, 1348?\nAnswer: 1533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.3 - -0.5319.\nAnswer: 6.8319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 60512 (base 7) to base 12\nAnswer: 8598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13020 divided by -868.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -3\/5 (c) 2448 (d) -2\/5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*sqrt(15) - -4*-2*sqrt(15))*-5)\/(-6*(sqrt(4235) + sqrt(4235) + 4*sqrt(4235) + sqrt(35))\/sqrt(7)).\nAnswer: -10*sqrt(3)\/67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, q: 4, i: 4, t: 2}. What is prob of picking 3 i and 1 v?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 14*o + 5.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p - 5*n + 29 = 0, -2*n = -5*p. Suppose a - 6 = -0*a. Let z(i) = -4*i - a + p*i + 1. Give z(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/36)\/11 - 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25399645.\nAnswer: 5, 307, 16547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(48)\/(sqrt(2) + sqrt(4)\/sqrt(2)))\/sqrt(8).\nAnswer: sqrt(3)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 6:28 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**2\/8 - 8201319*t\/2 - 22420544446587\/2 = 0.\nAnswer: -5467546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -51*g**5\/2 + 237*g**4\/2 + 198*g**3 + 54*g**2 = 0.\nAnswer: -1, -6\/17, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**3 - 4*r**2 + 3*r - 2. Let o be h(2). Let c be 2\/6 - (-32)\/12. Suppose -118 = -c*w + 26. Calculate the highest common divisor of o and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132727*q - 4477 = -132606*q for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 9\/(-6)*(1071\/(-9) + -5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + (-264)\/(-30))*20\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6979\/16307 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Let n = -34 + 100\/3. Let m = -28 - -26. What is the closest to m in n, f, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8*c - 4. Let d be w(-2). Suppose -i - d = -g - 6*i, i - 12 = 3*g. Let a = 7 - g. What is the remainder when 18 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k - 3. Let u(j) = -9*j - 4. Let f(c) = -c + 1. Let b(m) = -3*f(m) + u(m). What is -2*b(x) + 5*p(x)?\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475)*3 + sqrt(304)*-3.\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/2, -2\/17, -3\/2, 2916, -4, 0.09?\nAnswer: 2916","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1) + -42 + 49\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(5*y**4 - 2*y**5 - 5*y**4) - 3*y**5 + y**5 + y**5 + (0*y**3 + 12*y**4 + 0*y**3)*(5*y + 2 - 2).\nAnswer: 61*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1520164177?\nAnswer: 7, 217166311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2448\/(-680) + (-4)\/(-10)\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10857, 10850, 10845, 10842, 10841, 10842, 10845?\nAnswer: 10850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 3*v - 3*v)*(0*v**3 + 0*v**3 + v**3) - 40*v**5 - 41*v**5 + 15*v**5.\nAnswer: -68*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2257 - 10a31?\nAnswer: -9785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.4 * -7.\nAnswer: -177.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 8*w - 3. Let b(c) = c - 1. Let s(f) = 2*b(f) + d(f). What is s(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*w + 3*w + 14971*w**5 - 174 + 2*w**2 - 12062*w**5 wrt w.\nAnswer: 174540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 139816550 and 167834?\nAnswer: 5414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5246 - -5222 - (-2 - (0 + 1 - 4)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 952 and 81174541.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -683858 (base 9) to base 12\nAnswer: -1790b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5 = -5*u + 2*u, -3*m - 3*u = -3. Suppose 11 + 14 = 2*z - 5*y, -20 = -5*z + m*y. Let a(f) = f**2 + f - 4. Determine a(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-70) - (-229)\/(-5). Let w = -47 - d. Let f = 6 + w. Calculate the remainder when 7 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 768 + -665. What is the highest common factor of j and 2781?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4)\/a)**(-2\/51)\/((a**(-4\/5)\/a)\/(a*(a**(2\/13)*a)\/a*a)) assuming a is positive.\nAnswer: a**(8803\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-seven fifths of a week?\nAnswer: 74592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -b - 1, 0 = 4*b - n - 0*n + 67. Let s = 111 - 67. Let g = s + b. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4176 and 720.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaln when four letters picked without replacement from {l: 1, a: 1, i: 1, o: 1, n: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -122 - -14464?\nAnswer: 14342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {l: 2, g: 10}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2948223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r - 3*r + 3*r)*(-15*r + 84 + 87 - 170) in the form z*r + d + v*r**2 and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62498.\nAnswer: 2, 31249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000240673 rounded to six decimal places?\nAnswer: 0.000241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yygyyggyyegyg.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/((t*(t\/(t*t*t**(-1\/5)))\/t)\/t))\/t**(-10))\/(t**(-15\/4)\/(t\/((t**(-5\/6)*t)\/t))) assuming t is positive.\nAnswer: t**(1163\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -526*g + 3160. Let o be y(6). Sort 6, 3, o, 13 in decreasing order.\nAnswer: 13, 6, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4040*t - 4041*t - 5 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -23*i - 17. Let u = -63 - -56. Let b be a(u). Let q be 169\/99 - (2 + b\/(-66)). Is q bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)\/sqrt(12) + sqrt(4455)\/sqrt(5))*-5*-4.\nAnswer: 220*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - 1) + 1 + (164 - 166) + -3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6935 (base 13) to base 7.\nAnswer: -60665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*g*k*o*z - g*o**2 + 2*g*z - 1383*g - 7991*k*o**2*z - k*o - k*z - 50*o*z wrt k?\nAnswer: 19*g*o*z - 7991*o**2*z - o - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -304 divided by 1\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (86 - 99) + 28 + (1 - -15)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 - m**2 + m**2 + 0*m**2 - 2*m**2 + 3*m**2 + (m - m + 6*m)*(2*m - 4*m + m).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*j**2 - 1\/7*j + 1\/7*j**3 - 2\/7.\nAnswer: (j - 1)*(j + 1)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 106*q - 53. Calculate r(54).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 7:08 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*h - 117*h = -3*y - 21, 4*y = 2*h - 28 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -465? (a) 104 (b) 79 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 2\/513, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.601 or -0.099?\nAnswer: -0.099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 10:58 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 7:24 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b442 + -5?\nAnswer: -b447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -252.02.\nAnswer: -248.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1 (b) 2.9 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*g = 25, 4*v - 20 = -2*g + 6*g. Suppose 0 = 3*y - 6, -3*y = -v*l - 5*y + 14. Solve -l*u = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - n + 4. Let t be r(0). Suppose 2*c = 4*c - t. Suppose -c*h = -3*h + 5. Calculate the smallest common multiple of h and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**2 + 1108*a + 2208 = 0.\nAnswer: -552, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -461815?\nAnswer: -1385445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2412 and -0.0566.\nAnswer: -0.01365192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -79*r**6\/4 + r**5\/60 - 2177*r**3\/6 - 3434*r**2. Differentiate j(g) wrt g.\nAnswer: -7110*g**2 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.33? (a) -0.2 (b) -31 (c) 3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 5*p**4\/24 + 2*p**2 + 11*p. Let t(j) = 12*j + 1. What is t(d(y))?\nAnswer: 60*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c = -r - 2, -3*r = -4*c + 6. Let h = 13 - c. Solve 3*n = -4 + h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, a: 4, n: 3, q: 1, x: 4}. What is prob of picking 1 q, 1 x, and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-99)\/(-16)))\/(((-44)\/(-33)*1)\/(-2))?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8646 and 462.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**5\/20 - j**4\/4 + 2*j**3\/3 - 2*j**2 + 5*j. Calculate u(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-13\/3))\/s)\/s**15 assuming s is positive.\nAnswer: s**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.077, 5, 0.4, -42\/17, 1, -0.51, -3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 14*y**2 + 2*y + 8. Give f(14).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**7\/18 - g**6\/18 - g**5\/30 - 3*g. Suppose l(q) = 0. Calculate q.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -307520000 to the nearest one million.\nAnswer: -308000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3*1\/6*44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/180 and -99\/1652.\nAnswer: 74340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 1:41 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/12 and 67\/8604?\nAnswer: 8604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/((-27)\/(-12)) + 388026 + -22. What is k rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3053 - -3156. Calculate the remainder when f is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/7 + 7984*n\/7 + 847410.\nAnswer: 2*(n + 987)*(n + 3005)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**4\/9 - 4610*o**3\/9 - 106976*o**2\/9 - 262696*o\/9 + 1520960\/3 = 0?\nAnswer: -14, 5, 2328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -103\/5, 1\/6, 2, 5, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -160221131*z**5 + 143392789*z**2.\nAnswer: -9613267860*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 7 = -1. Suppose -4*o + 2 = -5*j + 8, 2 = p*o. Let z(u) = 11*u - 2. List the prime factors of z(j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/(-3) + ((-1)\/(-3))\/(-1). Let w(v) = -v + 2. Let u(p) = -p + 2. Calculate r*u(m) - 3*w(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 276995580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 127*d - 7287 + 1953. Solve d*v + 17 = 45*v - x, -3*x - 16 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*y + 9 = 0, 2*n - 3*n + 4*y + 3 = 0. Let w be n - (-2 + 2 - 1). Suppose 0 = t - 19 - w. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 5. Let q be (-1)\/(-4) - 5\/(-20). Let m = 0 + 4. What is the closest to j in q, -0.5, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -4543.4 to the nearest 10.\nAnswer: -4540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -1 + 21 + (8 - (-7 + 13))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-4)*z*z**4)\/(z*z**(3\/16)\/z*z\/(z*z**(-2\/7))) assuming z is positive.\nAnswer: z**(171\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -0*x - 3*x. Suppose 3*d - 2*k + 32 + 40 = 0, 3*d = -2*k - 84. Let o be (-2)\/4*d + -1. Solve x*q = 4*q - o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-5))\/(34\/340). Let n(x) = x**2 + x. Let c(t) = 5*t**3 + 6*t**2 + 6*t - 3. Give h*n(m) + c(m).\nAnswer: 5*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4*b = -20. Let q(f) be the second derivative of -f**3\/2 - 7*f**2\/2 - 3*f. Let u be q(b). Calculate the highest common factor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/5*(-988800)\/72512\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011000100 - -1?\nAnswer: -10011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -65 in 2\/5, 1, -13\/2, -2\/7, -0.29, -2\/13?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11216 - -44725. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 - -0.07. Let q = 0.17 - -8.83. Let k = q - 7. Which is the closest to v? (a) 0.1 (b) -0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(-152))\/(((-20)\/8)\/(-5))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0458 + -0.9542. Which is the biggest value? (a) 1\/8 (b) -0.2 (c) 3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50447 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18732542 times 0.1?\nAnswer: 0.018732542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 > -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 326331321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 12:33 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-156) - 2484057\/(-47788)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 40*n + 39. Give q(39).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 406693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-1\/2)*h)*h)**(13\/4)*(h*h*h*h*(h**(-2\/7)*h)\/h*h)\/h**(-3))**(-45) assuming h is positive.\nAnswer: h**(-23535\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62879600 is divided by 20959862?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 1928?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - 4*g + 2. Let k(m) = -8*m**2 + 15*m - 9. Determine -2*k(w) - 9*u(w).\nAnswer: -2*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -3c3b1e5?\nAnswer: -3c3b1ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 6 - 110. Let i = 51 + g. Let z be (-2939)\/3*(-1614 + -9) - i. What is z rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 235*m - 4679. Calculate w(-22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3285\/2*b - 1641\/2 - 3\/2*b**3 - 1647\/2*b**2 = 0. Calculate b.\nAnswer: -547, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 7*v**2 + 8*v + 6. Let x(m) = -m**2 - 2. Let p(f) = -r(f) - 2*x(f). Suppose 3*n = 5*n - 14. Is 20 a factor of p(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q - 15. What is t(-41)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51 + 3*r**4 - r - 52 - r - r**2 to the form h*r + b*r**4 + k + i*r**3 + g*r**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1105*n + 1978 = -596*n - 595*n for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elmpmzzmbllzbbbbm. What is prob of picking 1 z, 1 l, and 1 m?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*n + 3 = 0, h - 3*h + 5 = 3*n. Is -3\/7 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/98 - 2407\/406\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlz when three letters picked without replacement from lzzzzzzl.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -13. Let k(r) = w*r + r**2 + 3*r - 5*r. Let o(h) = 11*h. Calculate o(k(a)).\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - (-3 + -15)) + -3 + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19578 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-10))\/((-30)\/23700). Suppose r - 1385 = -3*d + f, 1992 = r - 2*d. List the prime factors of r.\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s + 14. Let a be m(-4). Put -3, a, 1, 4 in descending order.\nAnswer: 4, 1, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1666 a factor of 1757165186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwwieeeebkee. Give prob of picking 2 w and 1 e.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -209 * 0.328\nAnswer: -68.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (4 - (-1 + 4 + 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 a when four letters picked without replacement from {k: 3, a: 6, o: 6}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 447*m - 1. Is s(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.96 + -14. What is the closest to -1\/2 in 4, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.9 - 24.9. What is the smallest value in -0.1, -63, s?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64717 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7594043*v - 42985464.\nAnswer: 7594043","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * -663.\nAnswer: 26.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9930, 19824, 29718, 39612, 49506?\n\"Answer: 9894*x + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-6)*6*16\/24\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 11 + 2 + 381*t**2)*(-20*t + 12*t + 3*t).\nAnswer: -1905*t**3 + 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12165 (base 12) to base 3.\nAnswer: 1020111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**4 + 53852*r**3 + 362558578*r**2 + 724740232*r - 1087352664 = 0?\nAnswer: -13462, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 0*r**3 - 154 + 150 + 3*r - 2*r**3 - 5*r**2. Let q(w) = w**2 - w + 1. Determine -n(k) - 4*q(k).\nAnswer: 2*k**3 + k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, b: 3}. Give prob of sequence kk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.2081 or -1\/5?\nAnswer: 1.2081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*g + 33, g - 17 = 3*y + 2*y. Let z = 53 + -49. What is the remainder when g is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = t - 18. Suppose 3*s - 7*v = -4*v + 12, -3*v = -5*s + 20. Solve g - t = -0*r - 2*r, -s*g + 8 = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/93717 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60*b - 156 - 32*b - 108 + 274*b + 124*b wrt b?\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -2. Suppose 4 = r*t, 13 = -2*g + t + 81. Let j = g - 18. Solve -3*x + 2*d - d = -j, -2*x = d - 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/11)*(u\/(u*(u\/(u*u*(u*u*(u\/(u\/(u*u**2)*u)*u*u)\/u)\/u*u)*u*u)\/u))\/u)**(1\/4) assuming u is positive.\nAnswer: u**(23\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322*y**2 - 322*y**2 + 10761*y - 10761*y + 21*y**3.\nAnswer: 21*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130*c**4*h**2 + c**3*h**2 - 2*c*h + 3*h**2 - 4*h wrt c.\nAnswer: -1560*c**2*h**2 + 6*c*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.01 (b) -3 (c) -0.3 (d) -3\/496 (e) 1 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.6 - -120397071.\nAnswer: 120397066.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -15. Let y be 16\/(-12)*(-9)\/s. What is the third smallest value in y, 0.1, 2\/15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 271 + -4 + 3. Let x be 1\/(k\/(-135) + 2). Let m = -21 + x. Calculate the remainder when m is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6 less than or equal to -1\/949?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 9*p + 20. Suppose p*o + 8 = 9*o. Suppose 0 = k + 5*j, 0*j = 5*k - 4*j - 29. Which is the closest to -2? (a) k (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/21 and 58\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*(-116)\/(-435).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 9*p**4\/2 + 2*p**3 - 19. Find the third derivative of q(y) wrt y.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.36 - -0.06. Let b be (4\/(-14))\/((-30)\/14). Let o = -0.27 - -0.07. Put x, o, b in decreasing order.\nAnswer: b, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-6 - (-3 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -5*d**2 - 500*d - 11220 = 0.\nAnswer: -66, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 161275, 161229, 161151, 161041?\n\"Answer: -16*i**2 + 2*i + 161289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153704 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793734 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*z + 4*x = 42*z - 4844, -4838 = -z + x. Is z a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 45749 and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1274, -1333, -1396, -1463, -1534?\nAnswer: -1609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/2 - (-1 - 2). Suppose -4*a + 40 = -m*a. Let l be 5\/a*(-2)\/(-5). What is the second biggest value in 12, l, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 57*v - 341. Determine f(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r*v + 142299*r - 9217*v wrt v.\nAnswer: -2*r - 9217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 19986*b**2 - 90*b. Let s(z) = -z. Give o(s(d)).\nAnswer: 19986*d**2 + 90*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2537655?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*6*(sqrt(2736) - (sqrt(2736) + 0)))**2 + 3 + (5*(-2 + -1*sqrt(2736) - -1*(sqrt(2736) - sqrt(2736)*-2)))**2.\nAnswer: -2400*sqrt(19) + 273703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*i + 4, 4*i - 2*i - 36 = -4*l. Let n be (-26)\/(-8) + (-5)\/4. Calculate the least common multiple of 2\/(12\/81) + (-3)\/n and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -686*q**3 + 17*q + 13. Let u(t) = 171*t**3 - 4*t - 3. Calculate 9*u(i) + 2*v(i).\nAnswer: 167*i**3 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 9 - 2 - 6 - 7. Let b be (-1 - -1)\/(47 + -48). Calculate p(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 4 (c) -3\/7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*f + 848 = 728*f - 382*f for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.155 - 0.077. Let i = 35.078 - u. Let h = 34.99999918 - i. What is h rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-354.3\nAnswer: 708.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**4 + 2*q**4 + 803 - 801 + 18*q**3 in the form m*q**4 + t*q**2 + i*q**3 + z + l*q and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 836.1804 meters to micrometers.\nAnswer: 836180400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 666 + 984 = 0. Let f = -3564 - -3594. Calculate the highest common factor of f and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -15*r**2 - 7. Let m(u) = 16508*u. Give m(v(j)).\nAnswer: -247620*j**2 - 115556","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -634 + 19*t**4 - 393 + 1848 - 475 with respect to t.\nAnswer: 76*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f + 4*f - f**3 - 6*f + f**2 - f**3 + 0*f**2 + 0*f**2 + (-f**2 - 8*f**2 + 3*f**2)*(f + 2*f - f) in the form r + c*f**3 + z*f**2 + u*f and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1092663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41725 divided by -8345?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 12:58 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17, 35, 45, 35, -7, -93, -235, -445?\n\"Answer: -2*f**3 + 8*f**2 + 8*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26176 + 26172 + r + 26183 + 26174 - 104705.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k**2 - 101*k**3 - 24*k**3 + k + 74*k**3)*(5 - 2*k - 5) to o*k**4 + l + y*k + g*k**3 + p*k**2 and give o.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, n: 5, w: 4, t: 2, b: 1}. Give prob of sequence jjw.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -39600\/13, 67, -3\/7?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.507 - -1432503924\nAnswer: 1432503923.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 908.999988097 - 909. Round i to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42827339?\nAnswer: 53, 113, 7151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 1472.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -17*a - 4. Let j(f) = 8*f + 2. Calculate -5*j(u) - 2*l(u).\nAnswer: -6*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l = 50690 - 258222. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-2))\/((-15)\/(-20)). Is ((-71)\/y)\/((-12)\/(-24)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 301 - 136. Let j = c - 12. Calculate the remainder when 158 is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/9))\/(g\/(g*g*g*g**(-4))))**(-5\/4) assuming g is positive.\nAnswer: g**(25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*f - 5*a - 99, 5502*f - 83 - 68 = 5506*f + 5*a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*x = -315*x + 2496. Are x and -389 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**2*q**4 - 1290*o**2*q - 7*o*q**5 + 8*q**2 + 2*q wrt q?\nAnswer: 12*o**2*q**2 - 140*o*q**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 8:22 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 7*o + 5*i = 17, 3*i = -6*o + 39 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2781138084?\nAnswer: 2, 3, 231761507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -17*l. Let j(f) = -84*f. Let t(m) = -14*d(m) + 3*j(m). Let w(a) = a**2. Calculate w(t(y)).\nAnswer: 196*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(13) + sqrt(39)\/sqrt(3) - sqrt(13)) + 0 - (sqrt(13)*2 + -5 + -1))**2.\nAnswer: -6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*a = -81*a + 229*a - 6084 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.77 - 3.07. Let u = 2.8 + r. Round u to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n**(11\/4))*n*n))\/n)\/((n\/(n**(-6)*n))\/n) assuming n is positive.\nAnswer: n**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2. Let c(y) be the first derivative of -5*y**3\/3 + 55. Calculate i(c(a)).\nAnswer: 50*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2, 0.5, 88, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -40*z**2 + 19*z - 6. Let k(c) = 200*c**2 - 108*c + 31. Give -2*k(x) - 11*r(x).\nAnswer: 40*x**2 + 7*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6892.2408 + -48481\nAnswer: -41588.7592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/3 of a hour in minutes?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/13 - 76*p**2\/13 + 952*p\/13 - 3920\/13.\nAnswer: 2*(p - 14)**2*(p - 10)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -15. Suppose 7*u = 61 + 51. Suppose -u*g - t = -13*g. Which is the fourth biggest value? (a) 2 (b) g (c) 4\/7 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 + 84. Calculate the remainder when i is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*s = -99*s, 2*s = -3*j - 210. Is -71 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1756 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**2 - 7*h**2 + 4*h**2)*(-13*h**2 - 8*h**2 + h**2) + 3*h**2 - 3*h**2 - 2*h**4.\nAnswer: 178*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 38*r**2 + 173*r - 512. What is s(-31)?\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/12 - (-6 - -3 - -4). Which is smaller: q or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17.3 (b) 1\/6 (c) 0.4 (d) -0.057 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (25 + (11 - 24)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10041396.\nAnswer: 2, 3, 31, 26993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x**(2\/29)\/x*x)*x)\/(x*x\/(x*x\/(x**40*x))))**(3\/2) assuming x is positive.\nAnswer: x**(-3573\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016421 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 429*a**2\/2 - 34*a + 35. Is f(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d - 36. Give b(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1076 in -4, -0.4, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/11 - (-399175)\/(-385). Let q = -188 - x. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/12 and 41\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0*(1 - 0))\/(-1). Suppose u = 4*o - 12 - 24. Let d(p) = 3*p - 10. Let k be d(o). Solve -3*v + l = -2 + k, -5*v = -2*l + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 n, and 2 e when four letters picked without replacement from ynyeeeeayeyl?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230269 is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 952440200 to the nearest 1000000.\nAnswer: 952000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/9*12\/(-16)*4. Factor 12*t + 2*t**y + t**2 - 9*t - 6*t.\nAnswer: 3*t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {f: 2, j: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 468 + -463.33. Let q = -10.2 + w. Let s = q + 0.23. Round s to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 17*z**2 - 30*z**2 + 14*z**2. Let h be x(2). Let p = 22.2 - 22. Which is the second smallest value? (a) 0.1 (b) h (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5445 + 5464. Solve k + o = -5*m, -5*k + m = -0*m + 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 4. Let w = 480.54 - 466. Let q = w - 14.1. Which is the smallest value? (a) -0.1 (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -2.96. Let d = -1126880 - -1126883. What is the nearest to 0.1 in 0.3, d, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 47 + 3a08076?\nAnswer: 3a08112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60479, 60665, 60855, 61049?\nAnswer: 61247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 15*b + 105. Solve 5*g + b = 4*v - 26, 15 = 5*v - g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 173 = -z, 3*i = 7*i + 3*z - 695. Let k = -21 - -59. Let s = -22 + k. Calculate the highest common factor of s and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**2 + 2*i. Let u(x) = -8*x**2 - 5*x. Let w(l) = 5*t(l) + 2*u(l). Let f(o) = 4*o. Calculate w(f(j)).\nAnswer: 64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -108799*j + 5. Let w(s) = 287*s. Determine w(u(h)).\nAnswer: -31225313*h + 1435","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1, -2, 52, 0.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -386*p**2 - 4. Let d(w) = 192*w**2 + 2. Calculate 5*d(s) + 2*k(s).\nAnswer: 188*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 162*m**2 + 108*m + 333. What is the thousands digit of p(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/4 + 13815*h\/4 + 916627\/2.\nAnswer: (h + 134)*(h + 13681)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -2\/7, -20, -2\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0458 + 4.9842. Let q = n + -5. Sort q, 5\/4, 2.\nAnswer: q, 5\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h - 207*h**2 - 183*h**2 + 0*h + 368*h**2. Let w(z) = -2*z**2 + 0*z**2 + z**2. Calculate c(w(p)).\nAnswer: -22*p**4 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 431904 and 503888.\nAnswer: 3023328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 13*z**2 - 24*z + 27. Let m be p(11). Let q(o) = 168*o**2 + o + 1. Let s be q(-1). Suppose -v = -m*v + s. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -41*v**2. Let o(u) = u**2 - 11. What is o(h(i))?\nAnswer: 1681*i**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4.95625 years?\nAnswer: 0.00495625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2226*j - 66371 - 159997 = -132*j for j.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -88*m**3 + 4*m**2 - 6*m + 7. Let l(y) = -y**2 + y - 1. Let k(g) = -b(g) - 6*l(g). Let o = -70 - -71. Is k(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 8*m - 5. Let t be w(-7). Solve -t - 2 = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 3. Suppose -3*y - 6 = 2*k + k, -7 = a*k + 3*y. Suppose -6*c + 5 + k = 0. What is the smallest value in c, -1, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286267 is divided by 486?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158 + 25. Let w = -29 + z. List the prime factors of w.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 21*c = -180. What is the smallest common multiple of c and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 489*l + 93898. What is k(-192)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c - c)*(2*c**2 - c**2 + 15*c**2)*(-4 + 2 + 4) + 32*c + 4*c**3 - 32*c.\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.29 + -8819.766.\nAnswer: -8823.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**5\/50 - u**4\/10 - u**3\/5 - u**2\/5 + u - 1. Let v(k) be the first derivative of a(k). What is x in v(x) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y - 4. Let h be i(-5). Let m be h\/7 + (-6)\/14. Let d be 0\/(m\/2 + 7). Which is smaller: d or 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 6 = 4*l. Let x be 11\/5 - l\/10. Let k(y) = -y**2 + y + 1. Let c be k(x). Put 1, c, 5 in descending order.\nAnswer: 5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (105\/(-63))\/((-20)\/132). Solve 0 = q*c - 72 + 72 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, -536, -2076, -5074, -10016, -17388?\nAnswer: -27676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1053) + -2)**2.\nAnswer: -18*sqrt(13) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -7. Let h be (-9 + 4)\/((-2)\/4). What is the remainder when 55\/h*(-2)\/(-1) is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -84*q + 501. Give i(0).\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 5.601.\nAnswer: -7.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, -5, -6, -1 in descending order.\nAnswer: -1, -5, -6, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 15343.03 to the nearest one hundred.\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 584.3631ng in tonnes?\nAnswer: 0.0000000000005843631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 5:33 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23722, 23721, 23720, 23719, 23718, 23717?\n\"Answer: -q + 23723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -323332 (base 4) in base 15?\nAnswer: -120d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17668, 19055, 20442, 21829, 23216, 24603?\n\"Answer: 1387*u + 16281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-300)\/(-27))*1910\/4. Let w = -172 + s. What is the nearest to 0.1 in -22, w, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26\/33 + -28\/11. Which is the closest to -3? (a) -3 (b) 3\/7 (c) s (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -189906, -379666, -569426, -759186?\n\"Answer: -189760*i - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2433.862 + 2431. Round j to 1 dp.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*l**2 - 4\/5*l + 2\/5.\nAnswer: 2*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) -0.29 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 + 1 = 2*t, -2*t = -3*j - 1. Let p be j\/((2 - 1)\/5). Suppose 1 + 14 = p*k. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12579 is divided by 170.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5\/94 + -1361\/846. Suppose 4*p + 0*p + z = 17, 0 = 5*p + 3*z - 23. Suppose -p*b = 3*v + 3 - 1, 0 = b + v. Is d < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 6197844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.2 (b) -4 (c) -2403\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1. Let g(p) = 3*p + 1. Let m(z) = c(z) + g(z). Let t(o) = 15*o. What is m(t(w))?\nAnswer: 45*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -7 - 13. Let g(r) be the second derivative of -r**5\/20 - r**4\/2 - 5*r**3\/6 + 3*r**2\/2 - 8*r. What is the units digit of g(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 108.6 and 152.\nAnswer: 16507.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 188975162 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2378657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105277115 to the nearest integer?\nAnswer: 10260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 8*v**2 - 10*v + 3. Let f be d(9). Let b = f + 16. Calculate the greatest common divisor of 90 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (6 - 0) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8357 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: Simplify (2 + 2*sqrt(704) - sqrt(704)*2*6)*-3.\nAnswer: -6 + 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -125*(9\/12 + (-7)\/((-168)\/(-146130))). Round i to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -45 - 7*f + 966*f**2 - 4*f - 949*f**2 - 20. Is w(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 203\/10, -0.3, 2227 in decreasing order.\nAnswer: 2227, 203\/10, 2\/17, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37845000 and 1059660.\nAnswer: 264915000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 10. Let z be i(15). Suppose -z*j - 3*m - 61 = -231, -5*m - 130 = -5*j. What are the prime factors of j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a factor of 508272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 317614 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p - 2*p**3 + p + (-p + p - 2*p**2)*(1 - 1 + 2*p) + (-2*p - 4*p + 4*p)*(0*p**2 + p**2 - 2*p**2).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -8*x + 1044. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 12 = 1012. Is 12 a factor of v + 2\/(-2) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52700681.832 + -52869885.351858. Let m = i - -169219.52. Let x = m + -16. Round x to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2203*i + 1027953 = -11331*i - 163039 for i.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14186 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1388596, -1388591, -1388584, -1388575?\n\"Answer: j**2 + 2*j - 1388599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -971.\nAnswer: -34\/971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3324 divided by 6.\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c + c - 5*c + (-3 + 1 + 5)*(626*c + 449*c + 337*c))*(-c**3 - 4*c + 4*c) in the form g + w*c + h*c**2 + m*c**4 + d*c**3 and give m.\nAnswer: -4235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(425) + -4)**2 + 4 + (-5*-3*(1 + sqrt(2057) + sqrt(2057) + sqrt(2057)))**2 + 5.\nAnswer: 14820*sqrt(17) + 4166093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2 - 8. Suppose 0 = 4*h - 5*x + 13783, 2*h + 3*x = -w*h - 17275. Let g = -20665\/6 - h. Find the common denominator of g and -50\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1856 = 2073*r - 2065*r. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**2. Let b(c) = -2*c**2 - 2428*c. What is b(r(f))?\nAnswer: -50*f**4 + 12140*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4106228, -4106256, -4106274, -4106276, -4106256, -4106208, -4106126?\n\"Answer: z**3 - z**2 - 32*z - 4106196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -0.2 (b) -1\/6 (c) 1.7741\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*-1*2\/12. Let l = -119 + 117. Let g be (44\/40 - 1)*240\/48. Which is the nearest to p? (a) -7 (b) g (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + n - 2. Let r be k(3). Let y(z) = z**2 - 7*z - 2. Let m be y(8). Solve r = m*s - s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -291.9 - -1912.9. Let z = m + -1644.99. Let p = z - -24. Which is the closest to p? (a) -1\/4 (b) 5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 96498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**5 + 100*d**4 - 270*d**3 + 260*d**2 - 85*d = 0.\nAnswer: 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4513 - 262071386144\nAnswer: -262071390657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 309019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 s when three letters picked without replacement from prsr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -12. Suppose -3*g - 3*t = -1470, -m*g + 1491 = t - 5*t. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 13*h**2 + 5*h - 27*h**2 + 11 + 18*h**2. What is the hundreds digit of r(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (23 - 4\/2). Suppose -a = -3*a + 8. Suppose a*o = -0*o + 28. Solve -3*k = 2*i + r, 0 = 2*i + 4*k - 5*k + o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006964325 to 7 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 9:22 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 2837370.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 7*k**2 + 3*k. Let p be w(-4). Let g be 0 + p\/21 + 4\/14. Find the second derivative of l + 6*l**2 + 7*l**g - 40 + 40 wrt l.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10005650 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -24. Let p = q + 80. Let z = -86 + p. Round z to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-1 + -5 - -2) + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*j = 180*j + 195. Suppose -g - 4*g + 26 = f, -52 = -2*f + 4*g. Calculate the greatest common factor of f and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4424)\/35 - (-3)\/(-5). Let h = 131 + i. What is the greatest common factor of h and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1600106, -1600107, -1600108, -1600109, -1600110, -1600111?\n\"Answer: -a - 1600105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 9*c. Let f be i(-1). Let u be (-2)\/f - (-25)\/(-45). What is the smallest value in u, 2, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, i: 1, b: 1, l: 1, x: 1}. What is prob of sequence bi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1366548259.\nAnswer: 617, 2214827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n + n - 3*n)*(-99*n - 31*n - 92*n + 14*n) to a*n + m*n**2 + d and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 0, 17.\nAnswer: -5, 0, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m*t - 200641563*m + 31566343*t wrt t?\nAnswer: 2*m + 31566343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 31.4*-9\nAnswer: -282.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -37 - (22 - 7)) + -21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1138, 1147, 1166, 1195, 1234, 1283?\nAnswer: 1342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5211246 to the nearest integer?\nAnswer: 2283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -122 in 5, 6\/5, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 - 87 - (-10)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q*q**(-1)*q)\/q)\/q)**(5\/2)\/(q**(1\/3))**(3\/22) assuming q is positive.\nAnswer: q**(-1\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 0*c**2 - 2\/35*c**5 - 15 + 0*c + 2\/21*c**4 - 2\/63*c**3. What is q in a(q) = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 490 - 3?\nAnswer: 48b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385943566.\nAnswer: 2, 271, 499, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 100\/3 in 11\/2, 1.96, -0.1?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 134877667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9715846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 s when three letters picked without replacement from wswswyffwyfssfxfysyf?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(76)*-1*-6 + sqrt(76)))\/(3*(1*sqrt(12)\/sqrt(3) + sqrt(4))).\nAnswer: 7*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 164*w**2 + 4*w**5 - 6*w**5 + 528*w**6 + 2*w**5 - 171*w**2 + 17*w wrt w?\nAnswer: 63360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**5\/7 - 45*q**4\/7 + 125823*q**3\/7 - 1342281*q**2 + 9018756*q\/7 + 18540588\/7 = 0. What is q?\nAnswer: -242, -1, 2, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*u**2 - 192*u**2 + 959*u**2.\nAnswer: 922*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 8:40 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 10*c + 10 = s, 3*s + 8 = 4*c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 11*a**2 - 364*a - 49. Calculate w(-14).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 11478*g**3.\nAnswer: -11478*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2896586575 to the power of 1\/2, to the nearest integer?\nAnswer: 53820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26058, 52128, 78198, 104268?\nAnswer: 130338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-16*12\/(-144))\/((-6)\/(-27))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**2 + 7*x - 10. Let j(o) = -2*o**2 + 4*o - 5. Determine -7*j(i) + 4*m(i).\nAnswer: 2*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 5*c + 5. Let z be 9\/(-99) + (-12)\/(-11). Let n(i) = i**2 - i - 1. Give z*m(k) + 5*n(k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 9, 2\/11, -1.5, -36, -0.12, 2\/29, -0.3?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*z**3 + 19683*z**2 - 46*z - 56480133 wrt z.\nAnswer: -39*z**2 + 39366*z - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/9 + (-805)\/588. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v**2 - 4*v + 1. Let c(m) = 4088*m**2 - 26*m + 7. Calculate -c(b) + 7*u(b).\nAnswer: -4123*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 23, 2 in ascending order.\nAnswer: -20, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2. Let j(i) = -166*i - 1118*i**2 + 67*i + 99*i. What is c(j(f))?\nAnswer: -1249924*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (12400\/4400)\/((-3)\/33)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -3 - 0 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3*s + 4)*(-s + s + 2*s**2)*(-2 - 1 + 1)*(-6908*s + 5675*s + 2980*s).\nAnswer: 20964*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 5*u = 32, 8253*l - 4*u - 12 = 8260*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -81747*d*g - 5712*d wrt g.\nAnswer: -81747*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u + 4*u + 5*u. Let i(n) = -5*n**2. Let h = 82 + -80. Let d(x) = 22*x**2. Let k(g) = h*d(g) + 9*i(g). Give k(m(y)).\nAnswer: -169*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 + h**3 + 4121699161*h - 4121699161*h.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 1 - (-65 + 77)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/4*-2 + (-1155)\/(-210)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*c - 37*c - 10 = 0. Find n such that -40 + 14*n - 52*n + 25*n**3 + 5*n**4 + 30*n**c + 18*n = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -114829\/3 + 37645. Let n = -615 - m. Which is smaller: n or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.5, -0.024, 0.4, -2 in descending order.\nAnswer: 3, 0.4, -0.024, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) + -2*sqrt(204))*6*-1*5)\/(5*(sqrt(12) - sqrt(96)\/sqrt(8)) + sqrt(12) - (sqrt(1728) - sqrt(1728)*-3 - sqrt(1728))))**2*5.\nAnswer: 3060\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 763, 1535, 2305, 3073?\n\"Answer: -z**2 + 775*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/2*(2955\/(-165) + 18). Let u = -29.43 + 0.43. Let q = -28 - u. Which is the closest to q? (a) g (b) -1\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8438 and -3254.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 55223589.14 to the nearest one million.\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**7*b*b)**29 assuming b is positive.\nAnswer: b**290","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, w: 13}. What is prob of picking 3 w?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 7 - (40 + -43)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 869039*p - 869110*p + 2485 = 0 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -2, -5, 2 in decreasing order.\nAnswer: 3, 2, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1100 is divided by 134.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 13*g + 6*g - 19*g - g**2. Let n(m) = 18 - 26 - 8*m + 8. Determine o(n(j)).\nAnswer: -64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2086, -8348, -18842, -33562, -52502?\nAnswer: -75656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, c: 1, g: 2, w: 1, l: 2, m: 1}. What is prob of picking 2 l and 1 i?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 2*r + 13. Let n be o(0). Suppose -n*l + 136 = -11*l. Calculate the highest common divisor of l and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32689324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 0*r**2 + 0*r**3 - 1\/6*r**6 - 1\/2*r**4 + 0*r - 4 - 3\/5*r**5. Factor d(l).\nAnswer: -l**3*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/537 and 71\/9.\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -10 (c) 0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*h + 24*h + 811*h**2 - 77*h + 22*h to l*h**2 + j + p*h and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 - -276. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5828 and 376.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 650124799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6464.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 4. Let h(t) = t - 10. Let r(o) = -2*h(o) + 5*z(o). Let j be r(2). Solve j*b = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6882, -13441, -20000, -26559, -33118?\n\"Answer: -6559*j - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 3, -5, -2, 2, 40, -6 in decreasing order.\nAnswer: 40, 3, 2, -2, -5, -6, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38700 and 817?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*z = -0*z + 55, 3*f + 2*z - 33 = 0. Let d be 2 - -1 - f\/(-3). Let p = d + -197\/30. What is the biggest value in p, -3\/8, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 8:23 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82 - ((3 - -12) + -14)) + (-7 - 7).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3 + 1312\/12. Suppose 0 = 3*d + 7 - x. Suppose 3*k + 184 + 86 = 3*r, -2*k = r - 75. Calculate the highest common factor of r and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23184 divided by 252\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3812 is divided by 330?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.178 (b) 4\/3 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0465 and -114.\nAnswer: -113.9535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 388 or 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 64*h**2 + 2899*h - 1423. What is r(-31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 415105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -75*s + 10694. Determine o(151).\nAnswer: -631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 13*s**2 + 11*s + 7. Let c be w(12). Let z(q) = -q - 5. Calculate z(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*h**3*j**5 + 4*h**3*j**2 + h**3 - 99*h + 29*j**5 wrt j.\nAnswer: 840*h**3*j**2 + 1740*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 8 + 14. Suppose -5 = -5*i, p + 5 = 4*w - 4*i. Suppose -w*j + 96 - 31 = 0. Calculate the remainder when 45 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) 1\/2 (c) -4 (d) -26 (e) 1474 (f) 3 (g) 199\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14952 + -5456. What is the thousands digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s - 25. Let c be i(-14). Let f = 582 + -581. Let t = -8 - -6. Sort t, c, f.\nAnswer: t, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (504\/(-45))\/7*(-45)\/468 - 8531\/2470.\nAnswer: -33\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5983004 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: Simplify ((q**(2\/5)\/q)**(-2\/33)\/((q**(-8\/5)\/q)\/q**3))**(-30) assuming q is positive.\nAnswer: q**(-1860\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 47450 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2245.\nAnswer: 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 4220*z - 4218*z + 9.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -2.2.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + z + 1. Suppose 0 = 3*v + 7 - 4. Let y(m) = 6*m**2 + 3. Let c(a) = v*y(a) + 5*j(a). List the prime factors of c(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697572 to the power of 1\/2, to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-86)\/(5160\/225))\/((-6)\/(-16)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y. Let g(s) = -9230*s. Give g(k(n)).\nAnswer: -18460*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44463, -88936, -133409, -177882, -222355, -266828?\nAnswer: -311301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 30 = -10*c. Let s(o) = -o**3 - o**2 + 3*o - 42. Let u be s(c). Is -3 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 11 + 13. Solve 5*m - 2*m = w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16266.\nAnswer: 2, 3, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/19226 and 87\/5252.\nAnswer: 50487476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -246*(20 + (-246)\/12). Solve 0 = -36*m + 21 + v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1113*p - 1824 = -465 - 246 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 9:15 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 7 = -2*d, 3*q + 3 = -0*q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from weddehodoe. What is prob of picking 1 h and 1 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -2) + 1 + -2. Suppose 4*w - 20 + 4 = o. Find the second derivative of 0*r + 3*r - w*r - r**3 wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hth when three letters picked without replacement from ttzhhhzzhhnbtzz.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w**2 + 32*w + 99. Give r(-3).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 3*a + 1. Let w be c(-3). Calculate the greatest common factor of w and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/3 + 1\/6. Suppose -4*d - 4*i + 1 = -i, -i = -2*d + 13. What is the second biggest value in d, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2185 = 31*w + 3*w + 61*w for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6767889 by -183.\nAnswer: -36983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -18*(2 - 1) + 7128\/270\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3506, 7994, 12468, 16928, 21374, 25806, 30224?\nAnswer: 34628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2242 - -2242.06. Sort w, 7, 0.39 in descending order.\nAnswer: 7, 0.39, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -37. Let z be (r\/3)\/(8\/(-72)). Let w(c) = -c**3 + c**2 - 2. Calculate the remainder when w(z) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 2:55 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + sqrt(10)\/sqrt(2)*-2 + 5.\nAnswer: -2*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 185021692?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 393*o**2 - 2314*o - 3102. Calculate f(387).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94688.0273 + -116004.44812. Let u = -21237.42 - k. Let r = u + -79. Round r to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/3 and -4\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 + 164. Let g = p - 95. Suppose -c + 0*n - 5*n + 136 = g, -2*c + 232 = 2*n. Is 47 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40*c*i**2*q - 3620752*c*i**2 - 15*i**2*q - 1475*i*q wrt q.\nAnswer: 40*c*i**2 - 15*i**2 - 1475*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 76581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 8*v - 6. Suppose v*c = n + 784, -c + 6*c - 5*n = 1300. Is 33\/(-77) - c\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 6:47 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17)*-1 + sqrt(17))*1 + 0)*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23248, -45754, -66762, -85522, -101284, -113298, -120814, -123082?\n\"Answer: 125*v**3 - v**2 - 23378*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270923, 541795, 812667, 1083539?\nAnswer: 1354411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g - 43 = 5*h, 5*g = -4*h - 48. Let c = h + 7. Solve y = -o, c*o - 18 = 2*o - 4*y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + (-6)\/2)*-1. Suppose 2*a - 3 = -0*a - 5*x, -s*a + 4*x + 24 = 0. Find g such that -2*g - 16\/3*g**a + 8*g**3 - 1\/3*g**2 - 1\/3 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4691, -4685, -4677, -4667, -4655, -4641?\n\"Answer: n**2 + 3*n - 4695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/49623, -187\/2, 3\/5 in ascending order.\nAnswer: -187\/2, -22\/49623, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/3)\/(4620\/(-990)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 15, s: 3, a: 2}. What is prob of picking 2 a and 1 y?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 12:54 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccxxcrbkxkcrkrrk. What is prob of sequence cxkr?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*u + 28 = 59*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - -1110889?\nAnswer: 1110924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.7595 + -0.2405. What is the closest to 0 in 1, a, -3, 2\/115?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 210.99693 hours?\nAnswer: 8.79153875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 42. Suppose 2*z - 3*a - 17 = 0, r = 2*z - a - 10 - 13. Suppose 4*s = z - 5. Is s >= 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 9:38 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6162907657 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/40 + 1)\/(1\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4111.252 weeks in hours?\nAnswer: 690690.336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v**2 - v + 4. Let d be o(-2). Let j = d + 17. Suppose -j*z - 153 = q - 6*q, -5*z = -20. What is the remainder when 65 is divided by q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*t - 6 + 23*t - 13*t)*(3 - 2 - 3).\nAnswer: 4*t + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*h - 56 = -70*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 5*w + 790, 0 = -4*r + 2*w + 745 - 123. Let a = 324 - r. List the prime factors of a.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268176 is divided by 230.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 144\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*a + 382*a = 167*a - 1037 - 1339 for a.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 117 = 303. Is x at most as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 at most -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 850*j - 1624. Let n be y(2). Calculate the highest common factor of 2983 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9180 by -4.\nAnswer: -2295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19602 - -19606. What is the smallest common multiple of x and 11903?\nAnswer: 47612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7662186 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 1 = 7, -5*b = -3*c - 17 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 7:24 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5802008299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1.8. Let o be (-12)\/(-20)*50\/45. Which is smaller: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*i - 4518 = 1025*i - 618 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 3.73.\nAnswer: 11.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/13792 and -57\/14.\nAnswer: 96544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by 19.\nAnswer: 42\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 - -77. Let a(l) = -l**3 - 5*l**2 + 5. Let x(i) = -2*i**3 - 10*i**2 - i + 11. Let d(v) = -9*a(v) + 4*x(v). Determine d(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 116.389507985\nAnswer: -116.789507985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16772 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9}. What is prob of picking 4 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i + 17 = -2*k, 3*k = 2*i - 29. Suppose -i*b + 12*b = 5. Suppose 11 = -4*z - 5*f + 4, -3*f = 9. Calculate the greatest common divisor of z and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2840 - 2840. Sort w, -79, -3 in increasing order.\nAnswer: -79, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.72848 kilograms in grams?\nAnswer: 48728.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*y**5 + 447*y**4 - 684*y**3 - 624*y**2 + 192*y = 0 for y.\nAnswer: -4\/5, 0, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 13, 14, 591 in increasing order.\nAnswer: -1, 13, 14, 591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*z - 12075 + 301245. What is the common denominator of 81\/154 and (51102\/z)\/((-1)\/5*8)?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/34155 and -89\/495?\nAnswer: 34155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 99, 87, 61, 15, -57?\n\"Answer: -m**3 - m**2 - 2*m + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**5 - a**4 - 17*a**3 - 4*a**2. Let r(h) = -h**4 + h**3. Let c(g) = 2*f(g) + 14*r(g). Factor c(y).\nAnswer: -4*y**2*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*c - 936 = 5*c + 10*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.235 + 19.765. Let p = -0.073 + -0.927. Which is the third biggest value? (a) p (b) 1\/2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 11*z - 3. Let y be h(-7). Suppose p = -4*p + y. Solve p = 3*d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from tjtjjtjttt?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -77 (b) 0.129 (c) -4 (d) 5\/3 (e) -2 (f) 101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 1843475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-25)\/(-10))\/(1\/14). What is the units digit of (-60)\/r*21\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26508 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 142, 152, 166, 184, 206, 232?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 188146 = 94*h. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26284558 to the power of 1\/2, to the nearest integer?\nAnswer: 5127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -476519253*w**5 - 8295130*w**2 - 43.\nAnswer: -28591155180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + sqrt(1176)\/sqrt(8)).\nAnswer: -10 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-3 - 2*a**3 + 3) + (3*a + 0*a - 4*a)*(-38*a**2 - 564*a + 564*a) - a**2 + a**2 + a**3.\nAnswer: 37*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b00986 + -4?\nAnswer: -1b0098a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 9 - 953*a**2 + 479*a**2 + 22*a + 477*a**2. Suppose -8 - 2 = s. Is d(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25cb (base 14) in base 2?\nAnswer: -1100111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = -18*x - 16 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -696.73335 rounded to the nearest 10?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28431 at least as big as 28430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**2\/2 - 9. Let y(w) = -w**2. Determine y(t(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 1 - (-5 + 8 + -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*m**2 - 1 + (m + m - m)*(2*m - 4*m + 3*m) + 74*m**2 - 65*m**2 - 10*m + 0 - 1 to the form d*m + g + q*m**2 and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 5*f**2 - f - 15. What is b(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1537 + 1536. Let g(c) = -2*c - 3*c - 3 + 3*c. Let l be g(q). Is l greater than or equal to 4\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**2 - 32*y. Calculate v(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6)*12606\/3056)\/(1\/((-44)\/(-2))).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 13 = -3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 40650225 divided by -1935725\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is aab + -46b90?\nAnswer: -460b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4)\/(a**(-2\/9)\/a)*a**4\/((a*(a**1*a*a)\/a)\/a)*a*a**6*a*(a\/a**(-3))\/a*a*(((a\/a**(1\/3))\/a)\/a*a)**(11\/3) assuming a is positive.\nAnswer: a**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -302 (base 7) in base 2?\nAnswer: -10010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x - 586*x**2 + 33*x**2 - 7*x. Let d(s) = -5*s. Give d(o(l)).\nAnswer: 2765*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 12:21 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 273031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 161*d**2 - 3695*d - 127. Calculate r(133).\nAnswer: 3730","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 372 and 34940?\nAnswer: 3249420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 17*j**2 - 61.\nAnswer: -17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {z: 2, u: 1, b: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 285869 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.3, 0.1, -0.68, 2?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*h**3\/2 + 2217*h**2 + 13113*h\/2.\nAnswer: 3*h*(h + 3)*(7*h + 1457)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 251, 522, 787, 1040, 1275, 1486, 1667, 1812?\nAnswer: 1915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-7) - (-3 + 2). Let d = -182 + 179. What is the nearest to k in d, -3\/4, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 683 - 634. What is the greatest common factor of 35 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 169 + -841\/5. Suppose 3*z + 2*t = -3, 5*z - 38*t + 35*t + 5 = 0. Put z, -5, v in increasing order.\nAnswer: -5, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 14*k - 22*k)*(0 - 1 - 1 + (2 - 2 - 1)*(-10 - 8 + 76) + 1 - 1 - 2).\nAnswer: 2170*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7040*k**2 + 7030*k**2 - 14069*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 10*s - 21. Let z(d) = -2*d - 1. Let j(r) = r + 2. Determine s*z(m) + 2*j(m).\nAnswer: -4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from {m: 1, y: 2, g: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*y**5 + 5*y**4 - 551*y**2?\nAnswer: -1200*y**2 + 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27623713, -55247465, -82871217?\n\"Answer: -27623752*p + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 812 rounded to the nearest 10?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1501 - 140. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/4*(3 + -15). Suppose 40*c - y*c + 10 = 0. Solve -1 = -l - x, -c*x - 1 = 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**5\/120 + t**4\/24 - 15*t**3\/2 + 65*t**2. Let j(s) be the first derivative of k(s). Determine j(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 h when three letters picked without replacement from {h: 10, z: 2, a: 2}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 - 5*t + 5. What is d(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/45*10\/(-70).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8628.218 take away 0.1225866?\nAnswer: -8628.3405866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14601511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840.258 minutes in milliseconds?\nAnswer: 110415480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = i, -w - 4*w + 40 = 3*i. Solve -f - 3*u + 10 = -5*u, -4*f - 25 = w*u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(1\/3)\/k))**(-28))**(-7\/4)*((k**(-5)*k)\/k**(-1\/4))\/((k*k**(-2))\/(k**1*k*k)) assuming k is positive.\nAnswer: k**(983\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 5*p**4\/12 - 52*p. Let x(i) = -3*i**2. Determine f(x(u)).\nAnswer: 45*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(6\/(-1))*12. Let j(s) = -s**2 - 5 + 13 - 4*s - s. Let v be j(b). Solve v*x + x = 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + n - 1 + (2 - 2*n - 2)*(-9 + 7 - 1) - 161*n - 78 + 260*n - 104*n to j*n + w and give w.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*l**2 + 0*l**2 - 4*l**2)*(l**2 - 4 + 4).\nAnswer: -19*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1120021 + 1?\nAnswer: -1120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 8026.82 to the nearest one hundred.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12713 + -12631. Solve c*i + 68 = 48*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*o - 20. Suppose 5*b + 3*w + 6 = 4*b, -b + o*w = -18. What is the remainder when 7 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459855774 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1412 = 5*k - 112, z = 2*k - 611. Let m = k - 311. Let v(u) = -3*u + 1. Let w(i) = -2*i + 1. Let h(d) = -5*v(d) + 7*w(d). Determine h(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2022222202022 (base 3) to base 6\nAnswer: 42324012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**2\/2 + 12*o - 5. Let v be i(7). What is the second derivative of -7*x**3 + 7*x**3 + v*x**5 - x wrt x?\nAnswer: 100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(4*u - u - 30 + 33).\nAnswer: -6*u - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = -84 + 722. Is p > 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufcucucuuuucgcugyu. What is prob of sequence ug?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**6\/60 - o**5\/12 - 2*o**3\/3 + o**2. Calculate the remainder when v(4) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15524645263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 9*i + 2. Let q be s(-14). Let c = q - 46. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23819753 at least -23819752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3575 and 2750?\nAnswer: 35750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 4*z**2 - 11)*(z + 0*z - 3*z) + 21*z**2 + 2*z**3 + 10*z**2 - 3*z**3 as r*z**2 + u*z + q + j*z**3 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 15) in base 11?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*9\/(180\/544). Suppose -16 = -444*d + 443*d. Calculate the highest common factor of d and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from csscxxccccxsdcncxnn. Give prob of picking 1 d and 3 x.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 24*u**2 - 22*u - 28. Determine s(23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29388142 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -123, -144, -181, -240?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 902 = 8*o - 6546. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 36*w**3 - w. Let k be t(1). Let v = 239 - 217. Let s = k - v. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -289906 divided by -3?\nAnswer: 289906\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5*d = 33, 30 = 3*f - 49*d + 53*d for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 70, 121, 194, 295, 430?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 655397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 119458231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-96 - -102 - (-1 + 11))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 433 = n - 24. Let r = -452 + n. Solve 5*c - r = -15 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30474557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - b = -2*t + 105, 2*t + 4*b - 48 = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3817260 and 212070?\nAnswer: 3817260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - (-112)\/(-24))*3. Suppose -n = -h, -n - 1952 = -2*s - 0*n. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/80 in -0.2, -0.4, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/5 + 8*j**2\/5 - 11*j\/5 - 4.\nAnswer: -(j - 5)*(j - 4)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 + -76. Let m = -0.03 - 3.97. Which is the nearest to o? (a) -0.4 (b) 1\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*t = t - 3, 2*y = 2*t + 26. Suppose -10 = -2*s - 2. What is the least common multiple of s and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 - 0.087.\nAnswer: -83.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 5, g: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 41922, 83842, 125762, 167682, 209602, 251522?\n\"Answer: 41920*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*d - 41*d - 142*d)*(3 - 49 - 40 + 17) to the form b*d + w and give b.\nAnswer: 14697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 77407150, 77407151, 77407152, 77407153?\n\"Answer: k + 77407149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 5 + 4. Let j be 0 + o - (1 - -7). Is -11 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3711*x + 7339*x + 612*x + 950684 = -8269*x for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225)\/(sqrt(5) - -2*sqrt(80)))\/((-2*sqrt(72) - sqrt(72))\/sqrt(2)))**2.\nAnswer: 5\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2069 greater than 77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 1. Let a be i(-5). Suppose -p + 20 = -3*f, 3*p - a*f - f - 40 = 0. Suppose 5*c = -5 - 5, -3*m + p*c + 751 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - t**2 + t - 1. Let i be l(1). Let f(k) = 3*k**2 + 2*k - 2. Let s(h) = -h**2 + 4*h + 3. Let x be s(5). Let y be f(x). Solve y*c - c = i for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25030007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 15962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 18*s + 44. Calculate h(14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 436, 1402, 2900, 4930, 7492, 10586?\nAnswer: 14212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9903 < -69312\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 2\/15 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*x**2 + 17*x**2 - 34*x**2 + 2*x**3 + 13*x to z*x + c*x**2 + r*x**3 + d and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -18313 times -2.6?\nAnswer: 47613.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5282 - -5277 - (4 - 1 - (6 - 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a27b2 + -4?\nAnswer: 4a27ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 21, 5*d + 2*t = -437 + 448. Solve -4*n + 0*x + 3*x = 0, 0 = d*n + 4*x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2928?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 3)*12\/(-42). Which is the second smallest value? (a) 0 (b) 0.01 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6189123 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22788 - -42461. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 16917246.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4 = -2*w. Suppose 4*k + 1162 = 4*j + j, 5*k = -15. List the prime factors of w\/9 - j\/(-18).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/6 and ((-12)\/(-15))\/(55\/25).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -19, -18, -21, -28?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1927854482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/5 (b) 0.5 (c) -1.23 (d) 1\/10176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5904912 by -48.\nAnswer: 123019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 87\/4 + 2\/8. Let n = 6 - 4. Let p(a) = a**3 + a**2 - 6 - a - 11 - 17 + 34. Let s(w) = -9*w**3 - 11*w**2 + 11*w. Determine n*s(c) + o*p(c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**2 - 45*l**2 + 3*l**2 + 16*l**2 + 16*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 14 = -6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 3:34 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (198*h - 185*h + 254*h)*(h - 2*h + 2*h)*(7 - 3 - 2 + 3).\nAnswer: 1335*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 8\/6)\/((-7)\/(-21)). Let a(q) = -q - 5. Give a(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 - 10*s**2 + s + 10. Give t(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 218 and 7957?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g - 23*g + 3*c = 42, 2*g - 3*c = -24 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 21*a**2 - 131*a + 25. What are the prime factors of c(12)?\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -377*n + 675. Let o be y(0). Calculate the highest common factor of 120 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-23 - -21)\/(2\/(-8)). Solve -q + 23 = 5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1013 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 2. Let o be (6*s)\/((-1)\/1). Suppose -6*m + o = -m. Calculate the remainder when 35 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 825*u**2 - 3195*u + 4025.\nAnswer: -5*(u - 1)*(u + 5)*(u + 161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.419 + -262.581. Let j = b - -266. Sort 0, j, -0.1, -0.3.\nAnswer: -0.3, -0.1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 48. What is the second derivative of 7*i**3 - 5*i**s + i + 10*i wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 11*a**2 + 9*a + 17. List the prime factors of r(10).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r - 32. Let q(s) = s**2 - 8*s + 2. Let a be q(r). Suppose -o = -a*o. Solve o = -4*z + 1 + 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -165898*y**3 - 735214?\nAnswer: -497694*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 2 + 0 - (-103 + 97) - -7 - 28?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 55*b**3\/3 - 15*b**2 - 274. Factor z(l).\nAnswer: 5*l*(11*l - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133188 and 4488.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 24*a - 772. Let q be n(32). Let i = -0.01 + -1.99. What is the closest to -2 in q, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from {z: 3, n: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i**2 + 21*i - 21. Let b(u) = 3*u**2 + 11*u - 11. Suppose 0 = -2*x + 1 - 9. Let p(f) = x*t(f) + 7*b(f). Give p(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -9*r + 209*r**2 - 4 - 207*r**2 + 11*r. Give w(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**8\/168 - 4*i**7\/105 + i**6\/12 - i**5\/15 - 3*i**2\/2 - 17. Let n(g) be the second derivative of j(g). Factor n(p).\nAnswer: 2*p**2*(p - 2)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -31. Sort 1, x, 17, -3 in increasing order.\nAnswer: -3, x, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 183*g**2. Let b(x) = 402*x**2. Calculate b(l(p)).\nAnswer: 13462578*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 - 4828 + 16*p - 2*p**2 + 4828.\nAnswer: 4*p**2 + 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2627)\/(-7881))\/((-2)\/(-114))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123 - 57. Suppose -7*m + 109 = -h. Suppose -130 = -5*f + 7*c - 2*c, 54 = 2*f - 4*c. Calculate the highest common factor of m and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -52. Suppose -5*y + 4*t - 1 = 0, -3*t + h = y - 4*y. Let r be 11\/y*1 - -1. Is r smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from iqiqsfvs?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*h + 290 = 0, -3*h + 7*h + 739 = -5*y. Let c = -147 - y. Solve -i - c*i - 25 = -2*p, -7 = -2*p - i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*11 - (9 - 7). Let h(q) = -q + 9. Let b be h(l). Solve -s - 2*s = b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4625042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 107*d**4*r**2 + 93*d*r**2 - 3*r**2 - 2356*r - 19 wrt d.\nAnswer: 428*d**3*r**2 + 93*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.206418743 rounded to five dps?\nAnswer: 0.20642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/28 and -23\/69956.\nAnswer: 489692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23223081.13 less than -11651?\nAnswer: -23234732.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*c**5 - 946363*c**3 + 36645431*c?\nAnswer: -700*c**3 - 5678178*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-5) + 28\/35 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -330 - -662. Let o = m - 2992\/9. What is the closest to 0 in 0, o, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**3 - 14*b + 15. Let h be o(1). Let w(f) = -f**2 - 21*f + 161. Let d be w(h). Sort -3, 18, d in ascending order.\nAnswer: -3, d, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1542273.37 to the nearest ten thousand.\nAnswer: 1540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 85.28991 micrometers?\nAnswer: 0.008528991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2189 is divided by 728.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, z: 7, j: 1, o: 4}. What is prob of sequence jor?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4770 - -4778. Solve -31*h - k = -27*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74685 (base 12) to base 3.\nAnswer: -21202220202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = -87 - 633. Does 94 divide 997\/6 + 10\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 496 + -498. Let q(l) = -l**3 + l**2 + 6*l + 4. Let o be q(-2). Which is the nearest to -3? (a) o (b) 2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) 390 (c) 5 (d) 11 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -1\/2, -5, -84\/11.\nAnswer: -84\/11, -5, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 374.4 - 390.13. Let u = -4251.8 - -4235. Let l = u - o. Round l to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25, 65, 121, 199, 305, 445, 625?\n\"Answer: m**3 + 2*m**2 + 27*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28\/(7392\/33))\/(2\/(-88)))\/((-1)\/2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 358904*t - 8050755076.\nAnswer: -4*(t - 44863)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -0.4 (c) -10\/23 (d) 241655\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -429 + 419. Let g = -12 - u. Is -18 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -55 + 19. Suppose 2*s - n = -s. Let f = s + -7. Which is the second smallest value? (a) 3\/5 (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147799932 divided by -326991\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 5, 2, 0, -1, -22 in ascending order.\nAnswer: -22, -10, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {x: 1, u: 3, t: 7, b: 4, h: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 12 = 4*l + 4*s, l - 4 = -s. What is the third derivative of -4*w**2 + 9*w**2 + 2 - 2 - l*w**4 wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 4456, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1430 + -160. Suppose 9*b = x + 1430. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 16654?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64880 is divided by 1852?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 2\/9968219?\nAnswer: 2\/9968219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 2*l + 0*l. Let o(j) = 53 + 0*j + 5*j - 53. Calculate o(c(z)).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 18*v = j - 675, 0 = -3*v - 5*j + 1009. What is the remainder when v is divided by 325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 283 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 11 = -3*w + 5, 6 = 2*w. Let j be (4\/2 - -5)\/1. What is the second biggest value in j, 1\/8, u?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532*s + 1176 = 476*s for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160504364 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15006520 divided by 3001304\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*(-4)\/8)\/((-1)\/246). Let t = z - 123. Solve 4*h = -12 - t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69)\/(-6))\/((-10)\/20).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59132954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 1 = -k - 3, 8 = 3*x - 4*k. Solve -2*m + 4 = -x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*f**2 - 877*f + 25*f**2 + 27*f**2 to the form o*f**2 + i + t*f and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0.2. Let l = 0.14 - -0.56. Let w = l - 0.5. Which is the nearest to w? (a) 1\/6 (b) s (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.37817km to meters.\nAnswer: 69378.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6192\/16254*(-2)\/24.\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 45 = 19*c. Suppose 0 = -c*i + 13*i. Suppose 13 = -j - 5*h, i*j - 3*j + 5*h + 21 = 0. Solve 7 = -w + j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2 = 4*x, 3*x + 255 = -2*p + 268. Sort 36, x, 0, 37.\nAnswer: 0, x, 36, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8750523.\nAnswer: 3, 2916841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5392773, -10785568, -16178363?\nAnswer: -21571158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-36)\/(-16))\/((-3)\/(-40)). Let q = -26 + r. What is the lowest common multiple of q and 33\/5 + 15\/(-25)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58315 - -58361. Suppose u = 5*f - 3*u - 89, -3*u - 88 = -5*f. What is the remainder when q is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 10. Let j = -0.05 - 0.95. Let i = p - j. What is the biggest value in -4, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(24) + ((sqrt(864) - (sqrt(864) - (sqrt(864) - -2*sqrt(864) - sqrt(864)))) + sqrt(864) - sqrt(864))))\/(sqrt(48) - (sqrt(432) + sqrt(48))*6).\nAnswer: -26*sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**3 + 4*c**3 - c**3)*(-2 - 5 + 5) + 2*c**3 - c**3 + 0*c**3 - 244*c**2 - 8*c**3 + 244*c**2 to the form g*c**3 + m*c + v*c**2 + l and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20012222112 + 1022?\nAnswer: -20012221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 9:58 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*o + 11*o + 240. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 + 82. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*i = 15, 2*a - 2*i = 3 + 3. What is the second smallest value in a, -2\/177, 0.1?\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 6. Let v be k(7). Does 11 divide (-11)\/(v - (-1 + 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 170335179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 389 + -337. What is the remainder when 153 is divided by m?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, -99, 0, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 1\/3*y**3 + 4*y - 2 - 2*y**2. What is the units digit of t(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -414 (base 13) in base 2?\nAnswer: -1010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 8, 2*r - 4*g - 584 = -2*r. Calculate the common denominator of -1*-3*(-2)\/120 and 0 - 4\/(192\/r).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 18 = -a, 4*w = 3*a - 35 + 128. Solve -w*j + 39*j - j**2 - j**2 - 2*j - 24 = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*n, 2*a - 127 = -3*n - 6. Suppose -5*z + 61 = -a. Suppose -4*j + 4*b = -12, -5*j + z = 5*b - b. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1090082 and 1090081 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -164.2599947648 + 164.26. Round b to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2300 - 2140. Calculate the highest common divisor of a and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 10:00 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 18 = -1. What is the units digit of h*(-3 + 2\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**2 - 3*p**3 + 5*p**2 + 0*p + p**2 - 4*p to the form q*p**3 + r + h*p + d*p**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/4*6*4. Let w be (-47 - -52)\/(4\/(-28)). Which is greater: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*f*i**2*l**3 + 3*f*i**2 - 3*f*l**3 + 4*f*l**2 + 6*i**2*l**3 + 2*i**2*l**2 wrt l?\nAnswer: -36*f*i**2 - 18*f + 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.7 + -7. Let f = 6.3 + h. What is the third smallest value in -1, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(11)*2) - (sqrt(11) - sqrt(77)\/(sqrt(21)\/sqrt(3))))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1690 and 56?\nAnswer: 47320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -193 + -39. What is the units digit of (g\/(-10))\/(14\/35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 13) to base 14\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 17 = -3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2548 divided by -49?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 84.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 484960 and 1330?\nAnswer: 9214240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 + 65*v + 785. Let u be q(-11). Which is bigger: u or -175?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413466420 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 - r**2 + 4*r + 229. Calculate q(0).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, 3.96, 2\/7, -4, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10))**(-1\/22)\/(k*k**8*k**(-1\/7)\/k) assuming k is positive.\nAnswer: k**(-570\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/629935 and -22\/6173363.\nAnswer: 30866815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 413244 (base 7) in base 14?\nAnswer: 1bb24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64 - 3 + 0*f**2 - 120 + f**2 to i + a*f**2 + q*f and give i.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 56\/(-6)) + (-10)\/(-15). Let d(x) = 2*x + 9. What is the tens digit of d(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5922, 5931, 5948, 5973, 6006, 6047?\n\"Answer: 4*b**2 - 3*b + 5921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from llvqklllmvvkll.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/(-240))\/(28\/10)*(-7)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -73, -90.\nAnswer: -90, -73, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6250.471l?\nAnswer: 6250471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1495 is divided by 159.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -171337466 and 5.02037.\nAnswer: -171337460.97963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-10))\/((-6)\/190). Let k = u - 25. What is the biggest value in 5, 0, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -j + 5*j - g, -2*j - 2*g = -14. Let n(x) = -x**2 + 9. Let r be n(j). Solve 2*q + 0*q - 5*m + 3 = r, m + 1 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*j - 108, 6 = -j - 2*j. What is the remainder when t is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3 + 5 = 0. Let j(m) = 2*m + 2. What is the units digit of j(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -33. Let f be 5*(0 - 612\/p). Let b = f - 129. Calculate the highest common divisor of b and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 9:59 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-59 - -47) + 4 + 1 + -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - i**2 + i**2 - i**2 + 1 + 6*i**2. Let r be g(1). What is the greatest common factor of r and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n - 9. Let q be t(-4). Let k be (q - 0) + -1 - -7. Let l be -2*3*(0 + -1). Calculate the greatest common factor of k and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -26.39692 and 116.\nAnswer: 89.60308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (138 - 61) + (3 - 1) - (21 - 8).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g**3 - 6*g**2 - 3*g - 7. Let m(x) = -6*x**3 + 5*x**2 + 3*x + 6. Let w(b) = 4*a(b) + 5*m(b). Let v be w(-1). Solve 2 = -z + v*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -9*y + 2. Suppose -2*o = 2*i - 4, -24 = 5*o - 3*i - 74. Let r = o - 4. Let b(q) = 5*q - 1. Determine r*a(z) + 5*b(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 - 43?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*u*y**2 + 90986024*u - 8258549*y**3 wrt y?\nAnswer: -4*u*y - 24775647*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7670 and 120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 4)\/(40\/(-50)). Let d be (g\/3)\/((-70)\/(-126)*-1). Solve p = q + d, p = 4*q + 6 + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - w + 3*w + 244 = 0, -2*w = 2*a - 500. Is (-1 + (-2)\/4)\/((-4)\/a) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11039, 44145, 99327, 176585, 275919, 397329?\nAnswer: 540815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*w**3 - 9*w**3 - 52*w**2 + 52*w**2.\nAnswer: -51*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17004, 68152, 153390, 272712, 426112?\nAnswer: 613584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(832) + -1*sqrt(832) + 2 - (-2*sqrt(832)*-5)**2 - (0 + (2*sqrt(832) + -1)**2)) + 3).\nAnswer: -192*sqrt(13) + 519144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 8 - 3) + 8 + -43?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 4:27 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-25) - (-61)\/5. Suppose 2*s + 2*s = z. Suppose -s*w = -w - 4. Solve w = l + l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -4\/3 (c) -256.61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 21*d + 26*d = 19, 4*b + d - 14 = 0. Suppose s = 5*y - 5, y + 4*s + 20 = -b*y. Solve y = -5*u - 0 + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-11)*q)\/q)\/(q\/(q\/q**(-2\/31)))*(q**(6\/7)*q)\/(q*q\/q**(-6)) assuming q is positive.\nAnswer: q**(-3489\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 521599445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6543?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 122 = 4*m. Let c = m - 1. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*sqrt(4752)*4)\/(sqrt(75) + -6*1*sqrt(75) + -5*2*sqrt(75)).\nAnswer: 64*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12432 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -8*y + 10. Let a be c(4). Let q = a - -24. Solve 2*z - q = -8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*i + 23 = 0, 5*b - 3*i = -6*i + 3. Let p = -2.176 + 2.076. What is the closest to p in b, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15247327 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-2 - 3) - (-35 - -32)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 616 and 22352?\nAnswer: 156464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57\/2 - 28. Sort l, 8\/5, -3 in descending order.\nAnswer: 8\/5, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.651 in -122.8, -10, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 16*t**2. Let j(d) be the second derivative of -d**6\/180 + d**3\/6 - 18*d. Let p(n) be the second derivative of j(n). Determine p(s(y)).\nAnswer: -512*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, 622, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69313413.\nAnswer: 3, 13, 1777267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**3\/2 + 7*l**2\/2 - 9*l. Let p be n(6). Let o be 672\/1095 + (-15)\/p. Do o and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 13) to base 15\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1101*o - 850 = 931*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((572\/117)\/(-22))\/((-6)\/3).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iihghhghgihhi. Give prob of sequence ig.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5491)\/51)\/19 + 18525\/2907?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d + 23*d - 8 = 0. Suppose -4*x + d*o = 4, 3*x + x + 5*o = 24. Let w = -0.86 + -0.14. Which is the nearest to x? (a) 1\/3 (b) -0.6 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35142431 (base 6) to base 10.\nAnswer: -1086643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204 + 204 + 18*x - 16*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 112*s + 54*s**3 + 1684*s**4 - 16*s - 1686*s**4 - 148*s**2.\nAnswer: -2*s*(s - 24)*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186179 divided by -1.\nAnswer: 186179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -ba900a (base 14) in base 6?\nAnswer: -343322030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 + -37. Suppose 4*l + 4*d = -d + 19, 3*d + v = 3*l. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 853 and 32274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (110\/75)\/(6\/3020) - (-60)\/(-270). What is the highest common divisor of 123 and h?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 417 (base 8) to base 10.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2155 + 758 + 737 + 4*p + 729. Let v(f) = f + 23. Determine 2*g(a) - 7*v(a).\nAnswer: a - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -10 + -1 + (-2 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663706?\nAnswer: 2, 37, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -929\/2 - -465. Let v = -0.0442 + 0.4442. Which is the nearest to l? (a) -17 (b) 0 (c) v (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 567 = -3*x + 686, x + 3090 = 5*w. Let d = w - 347. Let g = d - 189. Is g a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 22940011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155031 is divided by 3527?\nAnswer: 3370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -4, 2\/75, -1\/2, 4\/5, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/4 + (-4)\/6. Let i(y) = 2*y - 8. Let k be i(4). Suppose k*c + c = 0. Which is bigger: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -244 from 1031.5.\nAnswer: 1275.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 223*h**3 + 3*h - 2. Let z be a(1). Calculate the highest common factor of 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8916*s**2 - 401212*s - 360.\nAnswer: 4*(s - 45)*(2229*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2888, -2916, -2944, -2972, -3000, -3028?\n\"Answer: -28*k - 2860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14957 divided by 5?\nAnswer: -14957\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 11*r - 4. Let f = 10 - 10. Suppose 0 = w - 2*z - 1, 5*w + f*z - z = 14. Is 17 a factor of y(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 7895a?\nAnswer: 78963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14) - (-64)\/28. Let v(i) = -i**2 - 2*i - 1. Let h be v(-1). Solve h = -3*k - p*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 13037*i**3 - 39140*i**3 + 13054*i**3 + 13052*i**3.\nAnswer: 3*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12, -5, -0.4, -497.\nAnswer: -497, -12, -5, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*h - 2695902 = -2725750 for h.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/18*8 - 745\/(-675) and 133\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 2 - -1 - -1. Suppose 0 = -3*n + 1 - 4. Which is the closest to -1? (a) 0.5 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + 120\/(-100)*-10 + -16. Let g = -2 + 1. What is the biggest value in -25, j, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 64*b + 7. Let x(n) = 19*n + 2. Let p(i) = -2*u(i) + 7*x(i). Let d(h) = 8*h. Calculate p(d(t)).\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 9 = 11. Let m = -5 + c. Suppose q - 3*o = m, -4*q + 3*o = -2*q. Let f(i) = -i**2 + 9. Determine f(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 9:23 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**2\/2 + 2*y - 3. Does 7 divide i(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -8*v - 140. Let o = v - -38. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 107*z + 5 - 108*z.\nAnswer: -z - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -30. Sort -3, -0.2, s in descending order.\nAnswer: s, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - 30 + 7*y to the form v + j*y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**4\/6 + 3*x**2. Let h(d) = -2*d - 2. Let z(y) = 1. Let k(n) = -h(n) - 2*z(n). Give k(s(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 times 24300894\nAnswer: -194407152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*o - 84 = 15. Let z(d) = 2*d + 4. Let b(h) = -3*h - 3. Determine o*z(p) + 4*b(p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 13.3. Round n to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*k = -32*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7\/l*(l*l**(-5))\/l)**(-32\/7)*l**2*l**(1\/7)*l*l*(l*l**(-2\/5))\/(l*l**(-5\/2)) assuming l is positive.\nAnswer: l**(117\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9 and -13554.\nAnswer: -12198.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7664543922?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 = 5*s, 2*s - 3*s = -4*k + 8. Let n(z) = -z**2 + z - 20. Give n(s).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*w + 34*w - 4*t - 2189, -4*t = -3*w - 151 for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5616 + 0.1?\nAnswer: -0.4616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + sqrt(1029))\/sqrt(7)*1*-6.\nAnswer: -48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2*z + 6 - 9)*(z**2 - 5*z**2 + 0*z**2).\nAnswer: 8*z**3 - 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**5\/20 - 137*m**4\/12 - 2*m**3\/3 - 5989*m**2\/2 - 7767*m. What is the derivative of b(l) wrt l?\nAnswer: -3*l**2 - 274*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 2:31 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 - -384\/5. Factor -3\/5 - v*w**2 - 7\/5*w.\nAnswer: -(w + 1)*(4*w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 78 + (-1 + 6\/4)*2. Suppose 85*b + 30 = o*b. Sort 3, 2, b.\nAnswer: b, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, q: 1, a: 2, m: 1, u: 2}. What is prob of sequence mq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 62897944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggaaggaaaaggaagag. What is prob of picking 3 a and 1 g?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -0.9861.\nAnswer: -0.9861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2198111867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -411166.\nAnswer: 5\/411166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*i - 14776, x - 6*x + 24630 = 5*i. What are the prime factors of i?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3 + 0.3. Let r = 27721 + -84518\/3. Let a = r + 453. What is the closest to l in -2\/13, a, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 17 = 2*o, 8*o - 3*o - 14 = 2*i. Suppose -4*u = -2*u - o. Solve -5*t - 2*y - 5 = -u, -2*t = -3*y + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/4 of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -219 - -234 - (14 + (-3 - -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18*(-21)\/315)\/(10\/125).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 9:07 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13140609?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**2 + 5*w**2 + 0*w**2 - 2*w**2 + w - w**3 + 5. Let g be r(-4). Let f = g + -16. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.11 + 0.11. What is the smallest value in 0.1, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -536 + 1618\/3. Let 4\/3 - 2\/3*o**4 + 2*o**2 + h*o - 2\/3*o**3 = 0. What is o?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1457?\nAnswer: 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7768465\/17 or -456969?\nAnswer: -456969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60102.00072 + -60098. Let j = 4 - b. Round j to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**3\/9 + 2590*p**2\/9 - 12919*p\/9 - 5170\/3 = 0?\nAnswer: -1, 6, 2585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -533, -2270, -5207, -9356, -14729, -21338, -29195, -38312?\n\"Answer: -2*l**3 - 588*l**2 + 41*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0.6. Let r be 8\/42*(2\/13 - (-1075)\/(-650)). Which is the third biggest value? (a) 4 (b) -14\/9 (c) x (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgqmkqqkugkummgguuuu. Give prob of picking 2 m.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t + 24*t + 5*n - 1 = 0, 3*t = 4*n + 4. Solve -g = -m - 3*g - 4, -4*g - t = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(3\/7)*y))**(10\/9))**(-36\/5) assuming y is positive.\nAnswer: y**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42760 = -331*s + 3327*s - 31583 - 57481 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 5. Let o be a(2). Suppose -4*m - 2*v + 0*v = -14, 2*m - 2*v = -2. Let t be m*-1 + 1 + 1. Sort o, t, -2 in descending order.\nAnswer: o, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1762872 and 0.29.\nAnswer: -1762871.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 - -344)\/(0 - -1)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(3\/2)*d)*d**5)\/(d**9\/d*d**5) assuming d is positive.\nAnswer: d**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.189 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -1008180 and 66070.\nAnswer: -942110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 674285593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2, 0.01, 5\/4 in descending order.\nAnswer: 5\/4, 0.2, 0.01, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 849.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 - 36 = 31*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5446 + 5477. Calculate the greatest common divisor of f and 5239.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201*2061427.\nAnswer: -414346827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 + 5 + 2*o**3 + 4*o**4 - o**3 - 5*o**4 in the form c*o + k*o**4 + y*o**2 + w*o**3 + s and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**2 - 3*y**2 - y**2)*(y**2 + 8*y**2 - y**2 + 1).\nAnswer: 8*y**4 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 31 = -4*b + 2, -15 = 3*l. Let x(a) be the second derivative of a**5\/20 - a**4\/12 + a**3\/6 - a. Determine x(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -476.81 and -1.101.\nAnswer: 524.96781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32396 = 40*t - 33*t. What is the least common multiple of t and 22?\nAnswer: 50908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/(-30))\/((-8)\/(-18)*-3). Suppose 0 - 4 = -2*r. Which is the closest to r? (a) -2\/9 (b) y (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/504 and 77\/1728.\nAnswer: 12096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25\/108 - -1\/54. Sort n, 2\/17, -1, 0.5 in decreasing order.\nAnswer: 0.5, n, 2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**3*h + 157*f**2*h**2 + 14*f*h - h**2 wrt f.\nAnswer: -18*f*h + 314*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 24841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1457 = -172*y + 13112 + 5201. What is the remainder when 289 is divided by y?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8*c**2 + 8*c + 9. Give z(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4578, -9156, -13734, -18312?\nAnswer: -22890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*g = 32, 2*t = t - 5*g + 28. Differentiate -2 + t*f**4 - 2*f**4 + f**4 with respect to f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-70)\/(-25)*(-130)\/624*-42?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -129930, -129928, -129924, -129918, -129910, -129900, -129888?\n\"Answer: d**2 - d - 129930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - y**2 - 70*y + 582. What is i(0)?\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 28 = 0, -13*l - 1443 = -17*l - 5*z. What is the highest common divisor of l and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -6. Suppose 3*q - 46 = -x, x = g*q - 4*x - 55. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + d**2 + d + 1. Let a(v) be the third derivative of -v**6\/120 - v**5\/20 - v**4\/12 + v**3\/6 + 911*v**2. Give a(w) + 2*k(w).\nAnswer: w**3 - w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.27 in -2\/17, -6\/11, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 327, 661, 993, 1323?\n\"Answer: -h**2 + 337*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -10*y. Suppose 48*l - 45*l - 84 = 0. Let h(g) = g - 1. Let d(x) = 3*x - 4. Let m(k) = d(k) - 4*h(k). Determine l*m(q) - 4*f(q).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -12. Calculate the least common multiple of (-8 + 145\/(-58))*(-36)\/14 and j.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jq when two letters picked without replacement from {y: 3, q: 1, j: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33099 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -50. Let a be (1\/2)\/(30\/s). Find l, given that 4*l**5 + 0*l - 11\/3*l**4 + 0 - 2\/3*l**3 + a*l**2 = 0.\nAnswer: -1\/3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19934*t - 2754 = 19853*t for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3. Suppose 20 = 8*t - 4. Let h = t - s. Solve 4*a = h*a - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g - g**2)*(-121 - 106 + 197).\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p - 14. Is p at least 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -439?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/(-2) - 2)*20\/60*6. Let c(m) be the first derivative of 0*m + 16\/11*m**y - 16\/11*m**2 + 2\/55*m**5 + 20 - 9\/22*m**4. Factor c(r).\nAnswer: 2*r*(r - 4)**2*(r - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*s = a - 13, -4*s = -a + 17. Let y = 14 - 15. Let d = a - y. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2712 (base 12) in base 14?\nAnswer: 18bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*l**2 - 13*l**2 - 74*l**2 - 61*l**2 + 28*l**2.\nAnswer: -182*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + x - 75. Suppose -5*c + x = 10. Let k be (-32)\/(-45) - 2\/(-5). Are c and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**6\/15 - 2*m**5\/15 - m**2 - 2*m. Let h(t) be the first derivative of y(t). What is the third derivative of h(g) wrt g?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 870*y + 323*y**2 + 7 - 367*y**2 - 870*y + 1.\nAnswer: -44*y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from nvnnonvnvnvnovv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7*s + 2080 = 9*s, -3*s = 3*q - 6228. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 72509?\nAnswer: 2\/72509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -5*g + 5, 3*g - 6*c = -5*c + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q = 5172 - 384. Calculate the remainder when q is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -1\/42*h**7 + 0*h**2 + 0*h**4 + 2*h + 0*h**5 + 0*h**6 + 1\/3*h**3 + 0. What is the second derivative of i(g) wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1 + d**3 - d**2 - 2 + d - 2 + 2. Let x(w) = 5*w**3 + 3*w**2 + 9*w - 10. Let c(o) = -4*s(o) + x(o). Determine c(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*p - 20, 0 = -4*j - 0*p - 5*p - 16. Let x = -1566 + 1565. Which is the nearest to x? (a) -2\/19 (b) j (c) 2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 6 (c) 5 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 95428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/29552 at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*l = -8, -11 - 9 = -2*z + 5*l. Let w be (z + -2 + 4)\/(-2). List the prime factors of (w - -2)\/(1\/17).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2090857512 to the nearest integer?\nAnswer: 1279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154920 is divided by 30295.\nAnswer: 3445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3697951 is divided by 924486?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0062 - 15.0062. Which is smaller: l or -0.04?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*6\/(-15))\/(1512\/(-405)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3603223357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - y**2 - y + 16. Let n = -36 + 66. Calculate the remainder when n is divided by a(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-11))**(-1\/9)\/((j**12*j)\/j*(j\/((j\/j**(-6\/25))\/j))\/j) assuming j is positive.\nAnswer: j**(-2371\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -500 - -780. Is 13 a factor of ((-12)\/5)\/((-16)\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 4 = -2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52135.6 minus -4?\nAnswer: 52139.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 7. Determine n(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -97\/24524 and 13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 8*o**2 - o + 3. Let z = -76 - -120. Suppose -5*x - 4*l + 38 = 94, -3*x - 5*l = z. Calculate the lowest common multiple of 11 and j(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, 70, -4, 12312 in descending order.\nAnswer: 12312, 70, -1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*a**2 + 2*a**2 + 6*a**2)*(0 + 1 + 1)*(5*a - 4*a - 10*a) as s + t*a**2 + o*a + k*a**3 and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1892, 6352, 13792, 24212, 37612, 53992?\n\"Answer: 1490*f**2 - 10*f + 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 707, -6, 4 in descending order.\nAnswer: 707, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 9. Let i be h(-16). Solve -2*a - 3*a - 5*n = -i, 4*a - 4*n - 20 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3382 is divided by 491?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1280*b**4 - 3*b**3 + 892*b**2 - 8*b wrt b.\nAnswer: -30720*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 5)*(9*f + 0*f - 4*f)*(-1 + 1 + f**2) - f**3 - 4*f**3 + f**3.\nAnswer: 21*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 12*m + 34. Let s be y(7). Suppose 5*w + 1 + 4 = 0. Let b be 3*(w - -2) - s. Solve -b*q - 2*z + 8 = -2*q, 0 = 2*z + 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g. Let w(a) = -110*a - 4. Let b(q) = 86*q + 3. Let s(f) = 5*b(f) + 4*w(f). Give -24*n(k) - 3*s(k).\nAnswer: 6*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 + -27. Let p = -18 + q. Let i = 10 - 9. Which is the second biggest value? (a) p (b) i (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386711474 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61*r + 38*r - 28*r)*(-2*r - 10*r - 6*r) + (-1 + 3 + 0)*(2*r**2 + 2*r**2 - 3*r**2) to the form y + a*r + j*r**2 and give j.\nAnswer: -1276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 2369*d + 33555. Determine u(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*((0 + sqrt(320))*-1)**2 - 2*3*sqrt(320)*-1).\nAnswer: -3840 - 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**3 - 40*n**2 - 9*n - 14. Calculate d(-13).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 9931*x + 10 = 9926*x, 2 = u - 3*x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 358\/3 - 119. Let b(z) be the second derivative of 3*z + z**2 - 1\/20*z**5 + 0 - 5\/6*z**3 + r*z**4. Solve b(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 448?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102095753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**2 + 71616430*p + 256445652297245 = 0. What is p?\nAnswer: -7161643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**4 - 418*y**3 + 11793*y**2 - 59580*y + 83808 = 0?\nAnswer: 3, 24, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 329455303?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 0*i + 0*i**3 + 0*i**4 - 5 - 3*i**2 + 6\/5*i**5. What is the second derivative of c(d) wrt d?\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*h**4 + 266*h + 12312 with respect to h.\nAnswer: 48*h**3 + 266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3604 not equal to 93870?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -3.122?\nAnswer: -3.122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 9. Let n(q) = -8*q - 7. Let f(h) = h. Let u(l) = -6*f(l) - n(l). Let k be u(-3). Is p < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 27 - 24 + 32 - 6*j.\nAnswer: -3*j - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -1264?\nAnswer: -1269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/3*(-14 + 20) + 772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**7\/504 + i**6\/72 + i**5\/24 - i**4\/6 - 13*i. Let h(f) be the third derivative of w(f). Determine t so that h(t) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i + 44. Determine k(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -7*f - 129. Let n be j(-19). Let h be (-5)\/(-2)*12\/15. Suppose 5*a + n*d = 4277, 2*a + 423 - 2123 = h*d. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 71*s - 29. Let a be m(36). Let z(r) = -6*r**2 - 8*r - 33. Let b(k) = 5*k**2 + 7*k + 32. Let x(f) = a*b(f) + 6*z(f). What is x(0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 37 + 10 = 0. Suppose n*m - 120271 = 105629. What is m rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49025, 98477, 147929, 197381?\nAnswer: 246833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17661083 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddiq when four letters picked without replacement from iqqdqqdv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 5 = 3*j + i, 5*i = -10. Sort 24, -1, 1, j in decreasing order.\nAnswer: 24, 1, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3))\/((36\/(-6))\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 502.41 - -6.59. Let i = -511.43 + g. Let l = 2.429893 + i. Round l to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 8*h + 7 + (-1 - 3 + 6)*(h - 2*h - h))*(-67 - 2*h + 25 - 279) to p*h**2 + l*h + y and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s + 5. Let x(r) = r**2 + r + 1. Let q(d) = w(d) - 5*x(d). Let o(u) = 11*u**2 - 5*u. Let l(t) = 2*o(t) + 5*q(t). Let b(h) = 4*h**2. Give b(l(f)).\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -290659641.9 to the nearest 1000.\nAnswer: -290660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9910 - -267541\/27. Find the common denominator of p and (-134)\/(-36) - 5\/(-15).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/3))**38*s**(5\/3)\/((s*s**(-2\/3))\/s*s*s*s))**(-3\/16) assuming s is positive.\nAnswer: s**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 11) in base 8?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 8:57 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 7 = -2*z, 3*c + 3*z = 4*z + 35. Let v(f) = -14*f - 21. Suppose -16*h = -20*h + 16. Let u(g) = 5 - h + 0 + 3 + 3*g. Give c*u(p) + 2*v(p).\nAnswer: 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.5 (b) 0.05 (c) -26 (d) -3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 12:17 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/308)\/((-15)\/(-42))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.829909 times -3?\nAnswer: -11.489727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4797 + 211043\/44. What is the common denominator of 41\/66 and o?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.0293 and -4.\nAnswer: -12.1172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 8*h + 3*h = -9*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 75 in descending order.\nAnswer: 75, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 9290 = -96*g + 92*g, -5*n + 9290 = 5*g. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21a - -1fe?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -3 - -1) + (11 - 14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 0*f**3 + 1\/12*f**5 + 2 + 0*f - 2*f**2 + 0*f**4. Let g(w) = 78*w. Determine q(g(v)).\nAnswer: 30420*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 11 + -32 + 39 + -54?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 2*v. Let f be b(-3). Suppose 3 = -2*q - f. Let o(l) = l**2 - 4. What is o(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 46 + (8 + -12 - 10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1069264*p**4 + 570866 with respect to p.\nAnswer: -4277056*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 32*i. Let k(l) = -3*l**2 + 0*l**2 + 4*l**2. What is k(o(u))?\nAnswer: 1024*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*6016.\nAnswer: -3008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -289*l**4 + 24*l**3 + 9374*l**2 - 2*l?\nAnswer: -6936*l + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1.2. Let t = 16 - 14. Let q = -3 - -3.1. Which is the second biggest value? (a) m (b) q (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.552917 rounded to 1 decimal place?\nAnswer: -20.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**2 + 80907*d - 80907*d.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32649*a**4 + 278*a**3 + 2*a**2 + 13*a + 4261376 wrt a.\nAnswer: -391788*a**2 + 1668*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 73929099 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54973*s**2 - 97907*s?\nAnswer: -109946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - (255\/10)\/17)*-10. What is the highest common factor of 837 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 50 + 3 + -2. Let j be m\/(-198) - 4\/(-24). Do 1 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**4\/18 + o**3 - 20*o**2\/3 - 14*o. Factor q(k).\nAnswer: -2*(k - 5)*(k - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.6 - -14.7368. What is x rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -151, -854, -2779, -6538, -12743, -22006?\n\"Answer: -102*z**3 + z**2 + 8*z - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*d + 57 = 17, 2*v - 13 = d. Sort 0, v, 0.1, 1 in descending order.\nAnswer: v, 1, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243795.\nAnswer: 3, 5, 16253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -20. Which is the nearest to -2? (a) -3 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.64 + 5. Let r = -0.3600031 + w. What is r rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*g - 2*g - g)*(3 - 3 + g) + (-2 + 0 + 3)*(0 - 2 + 0)*(0*g**2 - g**2 + 0*g**2))*(-2*g - 10*g + 4*g).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/4 + 1 + 2 + (-2 - -2). Solve -3*h + 14 = -b*x - 2*x, 5*h + 5*x = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 48*v**2 + 147*v + 122. What is the hundreds digit of i(-44)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m + 412 - 527 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12869443 is divided by 2573881?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35875961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 3*l**2 - 2*l. Suppose 0 = 2*f + 4*o - 14, -2*f + o - 8 = -4*f. Give x(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**5 + 16*m**3 + 8*m**2 - 12*m - 8 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4 - 152*x**3 - 310*x**2 - 156*x = 0. Calculate x.\nAnswer: -1, 0, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 11 - 13 = 2*o, 3*d = -2*o - 19 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iivcopcp. What is prob of picking 1 i, 1 v, and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 11*q**2 - 1250*q + 10053. Determine c(8).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-8)\/n)\/(n**(-1\/6)\/n))\/(n*n*n**(-6)*n**2) assuming n is positive.\nAnswer: n**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-44)\/(-66) - (-17)\/(-3). Let d(l) be the second derivative of l**4\/12 + l**3 + 3*l**2 + 2*l. Give d(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -515?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21000 and 9100?\nAnswer: 273000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 277 and 225956102.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75428152 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(272) - (-1 + sqrt(17) + -2).\nAnswer: -5*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 389018 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n - n**3 + 3*n)*(-1130 + 3*n + 1854 - 1101) as p*n + g*n**4 + y*n**3 + t + q*n**2 and give y.\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 171\/(-6)*(-676)\/39. Let m = s - 179. Suppose -m = -4*b + 237. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dedddeeddeeede. What is prob of picking 2 e?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3947, 7898, 11845, 15788?\n\"Answer: -2*i**2 + 3957*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0*b)\/b)\/(b*b**(2\/7))*b\/b**(-5\/3)*b**(-7)*(b\/b**(1\/6))\/(b*((b\/((b*b**4\/b)\/b))\/b)\/b*b)*b**2*b**(-1\/6) assuming b is positive.\nAnswer: b**(-20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.52707599 rounded to 4 dps?\nAnswer: -3.5271","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1570772261.\nAnswer: 83, 919, 20593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 622 = -155*b - 3563 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1665676?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*l - 6 = 0, -198*l = 3*g - 202*l + 2. Let v(q) = -4*q + 26. Let m(a) = -9*a + 52. Calculate g*m(f) + 13*v(f).\nAnswer: 2*f + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 1087, 2448, 4353, 6802?\nAnswer: 9795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 22. Sort -12, -3, s.\nAnswer: -12, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -432, -1, -3, 3 in ascending order.\nAnswer: -432, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-1)\/15 + (-1)\/(-45). Suppose 124 + 182 = -50*q + 56. Which is the biggest value? (a) q (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 14*i. Let f(q) = -13*q. What is 5*a(m) + 4*f(m)?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*a + 7 = -3*q, -a = -2*q - 4. Let d(v) = 6*v**2 + 5*v - 5. Let f be d(a). Solve -7*s = -f + 44 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783760 to the power of 1\/2, to the nearest integer?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v = 99 + 237 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 158.4561ns?\nAnswer: 0.000000002640935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000853 to seven dps.\nAnswer: -0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.007 + 35.63\nAnswer: 35.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -71.1 from 0.04358963569.\nAnswer: 71.14358963569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16444330313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 4, 2\/79?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a9e7 - -52?\nAnswer: -a995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -26, 0.3, -0.1, 4, -2.55, 2.1?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, m: 2}. Give prob of sequence mgm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43005*q**3*y**2 - 4248179*q**3 - 44*q**2 - 836*y**2 wrt y?\nAnswer: -86010*q**3*y - 1672*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -55. Find the common denominator of 59\/86 and (-3 - (11 - 13)) + (-9)\/j.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 28*k**2 + 2*k + 16. Let z be f(0). Solve 5*y + 2*h = -z, 5*y + 4 = -5*h + 7*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242834429830 rounded to the nearest 1000000?\nAnswer: 242834000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-160)\/75 + 2 - 334\/(-30). Which is the closest to 2\/5? (a) -0.2 (b) 3\/10 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20809 * 1.305.\nAnswer: 27155.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175193 is divided by 34853.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2441404661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2188\/3 + -710. Let o be (1 - (-8953)\/(-8869))\/((-4)\/14). Let t = -17303\/3258 + o. Find the common denominator of d and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-1*250\/(-200)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 o when three letters picked without replacement from bohkeqo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjmj when four letters picked without replacement from ijjmjjjjjmmmm.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 50220.84t?\nAnswer: 50220840000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 83*o + 498. Let p be r(-6). Let t(i) = -i**2 + 2*i + 4. Let y be (0 + 3)\/(4 - 3). Let f be t(y). Solve v + p = -f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2015 is divided by 1452\/20 - 1 - (-4)\/10.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o + 8*o - 4 = -1772 for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-21)*(-70)\/(-8)*(-1844)\/(-9681).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from ttqtytqqtqqqtyynttt.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 40 + 100 = 5*f, -2*f = -c + 27. Suppose m - 9 = 1. What is the remainder when c is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23441 - 2?\nAnswer: -23443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3181551490?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 111*t. Let o(b) = 92*b - 1. Let j(g) = 284*g - 3. Let z(q) = -4*j(q) + 13*o(q). Give k(z(x)).\nAnswer: 6660*x - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 47996?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 9 - (-10 + 5 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 5.5. Let f = 0 + o. What is the second smallest value in -0.4, -0.2, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 42. Let q(c) = -1951*c + 1801. Let a(u) = 3*o(u) - q(u). Differentiate a(h) wrt h.\nAnswer: 1951","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y**3 + 626*y**2 - 741*y - 358. Give x(124).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1891 = -9*h - 1621. Suppose 0*q = 3*q - 990. Calculate the highest common divisor of h and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5395520549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.81 and -4535313.79.\nAnswer: -4535307.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 11*h**2 - 11*h + 10. Let y = 60 + -70. Determine z(y).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, -3, 3\/7, -6.1 in descending order.\nAnswer: 3\/7, 0.14, -3, -6.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 69b051 - 1?\nAnswer: 69b050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 464299 and 1814987?\nAnswer: 19964857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 + 4103404?\nAnswer: 4103426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(192) - sqrt(48))*6)\/sqrt(3))\/(sqrt(80)\/(sqrt(70)\/sqrt(112))).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.112234 microseconds in days?\nAnswer: 0.000000000996669375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 15. Suppose 0 = 3*o - 6*o - 3*k, n*k = 4*o + 45. Let j(s) = 2*s**2 - 5*s - 2. Let c(l) = -l**2 - 1. Let d(x) = 3*c(x) + j(x). What is d(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.7 - 6.6. Which is bigger: w or -20?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2544 + 2143. Which is smaller: f or -406?\nAnswer: -406","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (12 + -26) - (3 + -13).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2725 - 5622\nAnswer: -2897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 7:35 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144 + 155210\/1079)\/((-4)\/4108*2).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 1 = 3*f, -3*f + 0*f - 3*o + 21 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 11. Factor b + b**4 + b**5 + z*b**2 - 5*b**2 - 2*b**3 - b**2 + 1.\nAnswer: (b - 1)**2*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -838 + 3766 = 366*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/162 and -107\/2292?\nAnswer: 61884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 6*w + 1. Suppose -4*t + y = -18, 2*t + 2*y = -2*t + 24. What is f(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4575469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 5*z + 2. Suppose -2*a + v = 0, 0*a + 6 = -a + 2*v. What is the lowest common multiple of y(-4) and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -13\/6, -0.0072, -3, -1\/7, -1.3, 0?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 5*l**4\/24 - l**3\/6 - 12*l**2. Let p(i) = -5 + 4 + 0. Let r(j) = -4*p(j) + z(j). Differentiate r(w) with respect to w.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -9*t**3 - 21 + 0*t**2 + 2\/3*t**6 + 0*t + 0*t**4 + 0*t**5. Find the third derivative of b(n) wrt n.\nAnswer: 240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 3*v = 15 - 16, -4 = -2*x - 2*v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008 is divided by 256?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1738*r**2 + 11*r + 10. Let p be y(-1). Let k = p + 4202. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 2*v**2 + 6*v**3 - 8*v + v**4 + 5*v to the form p*v**3 + r*v + f + q*v**4 + o*v**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 196*u. Let b(i) = 72*i**2 - 2. What is b(g(j))?\nAnswer: 2765952*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 25 = 0, 2*z = 9*m - 0*z - 17. Let h be 2*3 - (-1)\/(-1). Differentiate m + 8 - 1 - h*a**4 + 15*a**4 wrt a.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v + 1. Give z(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2 + 126*j - 114. Calculate b(-43).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.06 and 15582.3.\nAnswer: 15582.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}